id
int64 0
7k
| premises
stringlengths 118
4.1k
| paragraph
stringlengths 111
4.06k
| conclusion
stringlengths 15
240
| question
stringlengths 14
249
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stringclasses 3
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stringlengths 54
2.02k
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stringlengths 51
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int64 1
7
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4,687 |
['If if blood is shed, but it is a life giving flow of blood, then some plants look like cattails, then sunlight raises the temperature by holding in all of the radiation that also makes the weather warm.', 'It is rational to believe that either conflict can lead to high stress levels, emotional distress and even marital instability or if blood is shed, but it is a life giving flow of blood, then some plants look like cattails.', 'Should it be the case that the claim that if sunlight raises the temperature by holding in all of the radiation that also makes the weather warm, then if word is a computer program designed for word processing, then some food additives are illegal in some countries does not correspond with reality, it follows that either gases are used for burning or seeds germinate in months.', 'Once we know the claim that if sunlight raises the temperature by holding in all of the radiation that also makes the weather warm, then if word is a computer program designed for word processing, then some food additives are illegal in some countries does not correspond with reality, we also know that the statement, either gases are used for burning or seeds germinate in months, does not hold.', 'Given that conflict can lead to high stress levels, emotional distress and even marital instability, it can be inferred that cardiovascular system slows down.', 'The claim that cardiovascular system slows down does not reflect reality.']
|
If if blood is shed, but it is a life giving flow of blood, then some plants look like cattails, then sunlight raises the temperature by holding in all of the radiation that also makes the weather warm. It is rational to believe that either conflict can lead to high stress levels, emotional distress and even marital instability or if blood is shed, but it is a life giving flow of blood, then some plants look like cattails. Should it be the case that the claim that if sunlight raises the temperature by holding in all of the radiation that also makes the weather warm, then if word is a computer program designed for word processing, then some food additives are illegal in some countries does not correspond with reality, it follows that either gases are used for burning or seeds germinate in months. Once we know the claim that if sunlight raises the temperature by holding in all of the radiation that also makes the weather warm, then if word is a computer program designed for word processing, then some food additives are illegal in some countries does not correspond with reality, we also know that the statement, either gases are used for burning or seeds germinate in months, does not hold. Given that conflict can lead to high stress levels, emotional distress and even marital instability, it can be inferred that cardiovascular system slows down. The claim that cardiovascular system slows down does not reflect reality.
|
Once we know word is a computer program designed for word processing, we also know that some food additives are illegal in some countries.
|
Once we know word is a computer program designed for word processing, we also know that some food additives are illegal in some countries.
|
TRUE
|
Modus Ponens:
If (If [2], then [3].), then (If [0], then [1].). [SC1-1]
If [2], then [3]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Hypothetical Syllogism:
If (If [2], then [3].), then [4].
If [4], then (If [0], then [1].). [SC2-2]
Therefore, If (If [2], then [3].), then (If [0], then [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [4], then (If [0], then [1].).).), then (Either [6] or [7].).
If (Not (If [4], then (If [0], then [1].).).), then (Not (Either [6] or [7].).).
Therefore, If [4], then (If [0], then [1].)..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If [2], then [3].).
Not [5]. [SC2-2]
Therefore, If [2], then [3]..
[SC2-2]
Modus Tonens:
If [5], then [8].
Not [8].
Therefore, Not [5]..
|
{0: 'Word is a computer program designed for word processing.', 1: 'Some food additives are illegal in some countries.', 2: 'Blood is shed, but it is a life giving flow of blood.', 3: 'Some plants look like cattails.', 4: 'Sunlight raises the temperature by holding in all of the radiation that also makes the weather warm.', 5: 'Conflict can lead to high stress levels, emotional distress and even marital instability.', 6: 'Gases are used for burning.', 7: 'Seeds germinate in months.', 8: 'Cardiovascular system slows down.'}
| 5 |
4,500 |
["The notion that 'positive reinforcement is a powerful inducement for continued or increased working and learning' is untrue.", 'Given that if cranberries grow wild only on low vines in the sandy soil of Massachusetts and New Jersey, then democratization is part and parcel of a common movement for a really democratic world order, it can be inferred that a bannister is a barrier.', 'Provided that a bannister is a barrier, we know that the claim that cutthroat trouts are trouts does not reflect reality.', 'On the condition that we know that the claim that if those that suggest if if cranberries grow wild only on low vines in the sandy soil of Massachusetts and New Jersey, then democratization is part and parcel of a common movement for a really democratic world order, then cutthroat trouts are trouts are wrong, then positive reinforcement is a powerful inducement for continued or increased working and learning is false, it is definitely the case that pine relies on pollination.', "Should it be the case that the claim that if we know that the claim that if those that suggest if if cranberries grow wild only on low vines in the sandy soil of Massachusetts and New Jersey, then democratization is part and parcel of a common movement for a really democratic world order, then cutthroat trouts are trouts are wrong, then positive reinforcement is a powerful inducement for continued or increased working and learning is false, then the notion that 'pine relies on pollination' is untrue does not correspond with reality, it follows that marmots adapt to non-threatening human activities and can become fairly tame and approachable.", "Should it be the case that the claim that if we know that the claim that if those that suggest if if cranberries grow wild only on low vines in the sandy soil of Massachusetts and New Jersey, then democratization is part and parcel of a common movement for a really democratic world order, then cutthroat trouts are trouts are wrong, then positive reinforcement is a powerful inducement for continued or increased working and learning is false, then the notion that 'pine relies on pollination' is untrue does not correspond with reality, it follows that it is a common misconception that marmots adapt to non-threatening human activities and can become fairly tame and approachable."]
|
The notion that 'positive reinforcement is a powerful inducement for continued or increased working and learning' is untrue. Given that if cranberries grow wild only on low vines in the sandy soil of Massachusetts and New Jersey, then democratization is part and parcel of a common movement for a really democratic world order, it can be inferred that a bannister is a barrier. Provided that a bannister is a barrier, we know that the claim that cutthroat trouts are trouts does not reflect reality. On the condition that we know that the claim that if those that suggest if if cranberries grow wild only on low vines in the sandy soil of Massachusetts and New Jersey, then democratization is part and parcel of a common movement for a really democratic world order, then cutthroat trouts are trouts are wrong, then positive reinforcement is a powerful inducement for continued or increased working and learning is false, it is definitely the case that pine relies on pollination. Should it be the case that the claim that if we know that the claim that if those that suggest if if cranberries grow wild only on low vines in the sandy soil of Massachusetts and New Jersey, then democratization is part and parcel of a common movement for a really democratic world order, then cutthroat trouts are trouts are wrong, then positive reinforcement is a powerful inducement for continued or increased working and learning is false, then the notion that 'pine relies on pollination' is untrue does not correspond with reality, it follows that marmots adapt to non-threatening human activities and can become fairly tame and approachable. Should it be the case that the claim that if we know that the claim that if those that suggest if if cranberries grow wild only on low vines in the sandy soil of Massachusetts and New Jersey, then democratization is part and parcel of a common movement for a really democratic world order, then cutthroat trouts are trouts are wrong, then positive reinforcement is a powerful inducement for continued or increased working and learning is false, then the notion that 'pine relies on pollination' is untrue does not correspond with reality, it follows that it is a common misconception that marmots adapt to non-threatening human activities and can become fairly tame and approachable.
|
The claim that if cranberries grow wild only on low vines in the sandy soil of Massachusetts and New Jersey, then democratization is part and parcel of a common movement for a really democratic world order does not correspond with reality.
|
The claim that cranberries are the last wild crop of the year around Penobscot Bay does not correspond with reality.
|
Uncertain
|
Reductio Ad Absurdum:
If (If [0], then [1].), then [2]. [SC1-1]
If (If [0], then [1].), then (Not [2].). [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Modus Tonens:
If (Not (If (If [0], then [1].), then [2].).), then [4]. [SC1-2]
Not [4].
Therefore, If (If [0], then [1].), then [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (If (If [0], then [1].), then [2].).), then [4].).), then [5].
If (Not (If (Not (If (If [0], then [1].), then [2].).), then [4].).), then (Not [5].). [SC2-3]
Therefore, If (Not (If (If [0], then [1].), then [2].).), then [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Not (If (If [0], then [1].), then [2].).), then [4].).), then (Not [5].).).), then [6].
If (Not (If (Not (If (Not (If (If [0], then [1].), then [2].).), then [4].).), then (Not [5].).).), then (Not [6].).
Therefore, If (Not (If (Not (If (If [0], then [1].), then [2].).), then [4].).), then (Not [5].)..
[SC2-1]
Hypothetical Syllogism:
If (If [0], then [1].), then [3].
If [3], then (Not [2].).
Therefore, If (If [0], then [1].), then (Not [2].)..
|
{0: 'Cranberries grow wild only on low vines in the sandy soil of Massachusetts and New Jersey.', 1: 'Democratization is part and parcel of a common movement for a really democratic world order.', 2: 'Cutthroat trouts are trouts.', 3: 'A bannister is a barrier.', 4: 'Positive reinforcement is a powerful inducement for continued or increased working and learning.', 5: 'Pine relies on pollination.', 6: 'Marmots adapt to non-threatening human activities and can become fairly tame and approachable.'}
| 5 |
4,332 |
['It is rational to believe that either if some air flows through lungs, then silicon chips can contain computer processors , memory and special devices or army cutworm is found throughout the western states.', 'If taphephobia is the fear of being buried alive, then either sugar gliders live in nests in hollow tree branches or it is a common misconception that if some air flows through lungs, then silicon chips can contain computer processors , memory and special devices .', 'We know that at least one of two things is true: some people make special things they call art, or computer files cover material encoded for manipulation by computer.', 'When some people make special things they call art is true, it follows that it is not true that sugar gliders live in nests in hollow tree branches.', 'Should it be the case that computer files cover material encoded for manipulation by computer, it follows that it is not true that sugar gliders live in nests in hollow tree branches.', 'Given that radiation oncology involves the use of ionizing radiation in the treatment of patients with cancer, it can be inferred that taphephobia is the fear of being buried alive.', 'It is true that radiation oncology involves the use of ionizing radiation in the treatment of patients with cancer.']
|
It is rational to believe that either if some air flows through lungs, then silicon chips can contain computer processors , memory and special devices or army cutworm is found throughout the western states. If taphephobia is the fear of being buried alive, then either sugar gliders live in nests in hollow tree branches or it is a common misconception that if some air flows through lungs, then silicon chips can contain computer processors , memory and special devices . We know that at least one of two things is true: some people make special things they call art, or computer files cover material encoded for manipulation by computer. When some people make special things they call art is true, it follows that it is not true that sugar gliders live in nests in hollow tree branches. Should it be the case that computer files cover material encoded for manipulation by computer, it follows that it is not true that sugar gliders live in nests in hollow tree branches. Given that radiation oncology involves the use of ionizing radiation in the treatment of patients with cancer, it can be inferred that taphephobia is the fear of being buried alive. It is true that radiation oncology involves the use of ionizing radiation in the treatment of patients with cancer.
|
The idea that army cutworm is found throughout the western states is true.
|
Army cutworm has a wide range of plants on which it feeds.
|
Uncertain
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0].
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not (If [1], then [2].).). [SC1-2]
Not [3]. [SC2-2]
Therefore, Not (If [1], then [2].)..
[SC1-2]
Modus Ponens:
If [4], then (Either [3] or (Not (If [1], then [2].).).).
[4] [SC2-3]
Therefore, Either [3] or (Not (If [1], then [2].).)..
[SC2-3]
Modus Ponens:
If [7], then [4].
[7]
Therefore, [4].
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [3].).
If [6], then (Not [3].).
Therefore, Not [3]..
|
{0: 'Army cutworm is found throughout the western states.', 1: 'Some air flows through lungs.', 2: 'Silicon chips can contain computer processors , memory and special devices .', 3: 'Sugar gliders live in nests in hollow tree branches.', 4: 'Taphephobia is the fear of being buried alive.', 5: 'Some people make special things they call art.', 6: 'Computer files cover material encoded for manipulation by computer.', 7: 'Radiation oncology involves the use of ionizing radiation in the treatment of patients with cancer.'}
| 5 |
4,979 |
['One may reasonably assume that if clarinets are musical instruments, then if nations establish infrastructures, then weeds have leaves.', 'One may reasonably assume that if tape drives are mechanisms, then nations establish infrastructures.', 'The statement that states tape drives are mechanisms is right.', "So long as the statement that states either conversion disorder is a mental disturbance or clarinets are musical instruments is false, 'if productivity depends on the effective management of time and information, then pups begin to exhibit fluffing of the tail while learning to play with siblings' is true.", "So long as the statement that states either conversion disorder is a mental disturbance or clarinets are musical instruments is false, 'those that suggest if productivity depends on the effective management of time and information, then pups begin to exhibit fluffing of the tail while learning to play with siblings are wrong' is true.", 'There is good reason to believe that either pollen is a spore or if conversion disorder is a mental disturbance, then if nations establish infrastructures, then weeds have leaves.', 'The claim that pollen is a spore does not reflect reality.']
|
One may reasonably assume that if clarinets are musical instruments, then if nations establish infrastructures, then weeds have leaves. One may reasonably assume that if tape drives are mechanisms, then nations establish infrastructures. The statement that states tape drives are mechanisms is right. So long as the statement that states either conversion disorder is a mental disturbance or clarinets are musical instruments is false, 'if productivity depends on the effective management of time and information, then pups begin to exhibit fluffing of the tail while learning to play with siblings' is true. So long as the statement that states either conversion disorder is a mental disturbance or clarinets are musical instruments is false, 'those that suggest if productivity depends on the effective management of time and information, then pups begin to exhibit fluffing of the tail while learning to play with siblings are wrong' is true. There is good reason to believe that either pollen is a spore or if conversion disorder is a mental disturbance, then if nations establish infrastructures, then weeds have leaves. The claim that pollen is a spore does not reflect reality.
|
Many people rightly believe that weeds have leaves.
|
Many people rightly believe that weeds have leaves.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [1], then [0].). [SC2-2]
If [3], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then (If [5], then [6].).
If (Not (Either [2] or [3].).), then (Not (If [5], then [6].).).
Therefore, Either [2] or [3]..
[SC2-2]
Disjunctive Syllogism:
Either [7] or (If [2], then (If [1], then [0].).).
Not [7].
Therefore, If [2], then (If [1], then [0].)..
[SC2-1]
Modus Ponens:
If [4], then [1].
[4]
Therefore, [1].
|
{0: 'Weeds have leaves.', 1: 'Nations establish infrastructures.', 2: 'Conversion disorder is a mental disturbance.', 3: 'Clarinets are musical instruments.', 4: 'Tape drives are mechanisms.', 5: 'Productivity depends on the effective management of time and information.', 6: 'Pups begin to exhibit fluffing of the tail while learning to play with siblings.', 7: 'Pollen is a spore.'}
| 5 |
4,817 |
['Should it be the case that those that suggest if railway stations are terminals, then avocados vary considerably in their exterior characteristics, depending on the variety are wrong, it follows that kaolin is a natural component of the soil and occurs widely in ambient air.', 'Once we know those that suggest if railway stations are terminals, then avocados vary considerably in their exterior characteristics, depending on the variety are wrong, we also know that the claim that kaolin is a natural component of the soil and occurs widely in ambient air is false.', 'Assuming railway stations are terminals, we know that sexual desire is the motivation for sexual aggression.', 'When the statement, if sexual desire is the motivation for sexual aggression, then it is not the case that avocados vary considerably in their exterior characteristics, depending on the variety, does not hold is true, it follows that most species eat mussels and other mollusks, or shellfish.', "Assuming most species eat mussels and other mollusks, or shellfish, we know that wives are young men's mistresses, companions for middle age, and old men's nurses.", "One may reasonably assume that if most species eat mussels and other mollusks, or shellfish, then the claim that wives are young men's mistresses, companions for middle age, and old men's nurses is false."]
|
Should it be the case that those that suggest if railway stations are terminals, then avocados vary considerably in their exterior characteristics, depending on the variety are wrong, it follows that kaolin is a natural component of the soil and occurs widely in ambient air. Once we know those that suggest if railway stations are terminals, then avocados vary considerably in their exterior characteristics, depending on the variety are wrong, we also know that the claim that kaolin is a natural component of the soil and occurs widely in ambient air is false. Assuming railway stations are terminals, we know that sexual desire is the motivation for sexual aggression. When the statement, if sexual desire is the motivation for sexual aggression, then it is not the case that avocados vary considerably in their exterior characteristics, depending on the variety, does not hold is true, it follows that most species eat mussels and other mollusks, or shellfish. Assuming most species eat mussels and other mollusks, or shellfish, we know that wives are young men's mistresses, companions for middle age, and old men's nurses. One may reasonably assume that if most species eat mussels and other mollusks, or shellfish, then the claim that wives are young men's mistresses, companions for middle age, and old men's nurses is false.
|
The claim that railway stations are terminals does not reflect reality.
|
It is not the case that railway stations are located in towns.
|
Uncertain
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2].
If (Not (If [0], then [1].).), then (Not [2].).
Therefore, If [0], then [1]..
[SC2-1]
Hypothetical Syllogism:
If [0], then [3].
If [3], then (Not [1].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Tonens:
If (Not (If [3], then (Not [1].).).), then [4].
Not [4]. [SC2-3]
Therefore, If [3], then (Not [1].)..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [5].
If [4], then (Not [5].).
Therefore, Not [4]..
|
{0: 'Railway stations are terminals.', 1: 'Avocados vary considerably in their exterior characteristics, depending on the variety.', 2: 'Kaolin is a natural component of the soil and occurs widely in ambient air.', 3: 'Sexual desire is the motivation for sexual aggression.', 4: 'Most species eat mussels and other mollusks, or shellfish.', 5: "Wives are young men's mistresses, companions for middle age, and old men's nurses."}
| 5 |
4,620 |
['Either hamsters eat food or if arctic ice is very different than the stuff found on land, like glaciers, then ethologists have (part) cell membranes.', 'The claim that sambar deer reach sexual maturity does not correspond with reality.', 'Given that fruits are eaten by all the common song birds as well as game birds such as pheasants and grouse, it can be inferred that if if arctic ice is very different than the stuff found on land, like glaciers, then ethologists have (part) cell membranes, then we know that the claim that canaries are singers is false.', 'It is true that fruits are eaten by all the common song birds as well as game birds such as pheasants and grouse.', 'At least one of two things is true: if ponds attract amphibians, then pelvic tilt increases with age and injury, or some german scientists work with government.', 'Should it be the case that if ponds attract amphibians, then pelvic tilt increases with age and injury, it follows that if the claim that if hamsters eat food, then we know that the claim that canaries are singers is false does not reflect reality, then sambar deer reach sexual maturity.', 'When it is a common misconception that if some german scientists work with government, then if the claim that if hamsters eat food, then we know that the claim that canaries are singers is false does not reflect reality, then sambar deer reach sexual maturity is true, it follows that younger women tend to have firmer, harder breast because the tissue is denser.', "The notion that 'younger women tend to have firmer, harder breast because the tissue is denser' is untrue."]
|
Either hamsters eat food or if arctic ice is very different than the stuff found on land, like glaciers, then ethologists have (part) cell membranes. The claim that sambar deer reach sexual maturity does not correspond with reality. Given that fruits are eaten by all the common song birds as well as game birds such as pheasants and grouse, it can be inferred that if if arctic ice is very different than the stuff found on land, like glaciers, then ethologists have (part) cell membranes, then we know that the claim that canaries are singers is false. It is true that fruits are eaten by all the common song birds as well as game birds such as pheasants and grouse. At least one of two things is true: if ponds attract amphibians, then pelvic tilt increases with age and injury, or some german scientists work with government. Should it be the case that if ponds attract amphibians, then pelvic tilt increases with age and injury, it follows that if the claim that if hamsters eat food, then we know that the claim that canaries are singers is false does not reflect reality, then sambar deer reach sexual maturity. When it is a common misconception that if some german scientists work with government, then if the claim that if hamsters eat food, then we know that the claim that canaries are singers is false does not reflect reality, then sambar deer reach sexual maturity is true, it follows that younger women tend to have firmer, harder breast because the tissue is denser. The notion that 'younger women tend to have firmer, harder breast because the tissue is denser' is untrue.
|
We know that the claim that canaries are singers is false.
|
The statement 'canaries are singers' can be considered true.
|
FALSE
|
Disjunction Elimination:
Either [1] or (If [2], then [3].).
If [1], then (Not [0].). [SC2-1]
If (If [2], then [3].), then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then (Not [0].).).), then [4]. [SC1-2]
Not [4].
Therefore, If [1], then (Not [0].)..
[SC1-2]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (If (Not (If [1], then (Not [0].).).), then [4].).
If [8], then (If (Not (If [1], then (Not [0].).).), then [4].). [SC3-3]
Therefore, If (Not (If [1], then (Not [0].).).), then [4]..
[SC3-3]
Modus Tonens:
If (Not (If [8], then (If (Not (If [1], then (Not [0].).).), then [4].).).), then [9].
Not [9].
Therefore, If [8], then (If (Not (If [1], then (Not [0].).).), then [4].)..
[SC3-1]
Modus Ponens:
If [5], then (If (If [2], then [3].), then (Not [0].).).
[5]
Therefore, If (If [2], then [3].), then (Not [0].)..
|
{0: 'Canaries are singers.', 1: 'Hamsters eat food.', 2: 'Arctic ice is very different than the stuff found on land, like glaciers.', 3: 'Ethologists have (part) cell membranes.', 4: 'Sambar deer reach sexual maturity.', 5: 'Fruits are eaten by all the common song birds as well as game birds such as pheasants and grouse.', 6: 'Ponds attract amphibians.', 7: 'Pelvic tilt increases with age and injury.', 8: 'Some german scientists work with government.', 9: 'Younger women tend to have firmer, harder breast because the tissue is denser.'}
| 5 |
4,814 |
["Whenever it is true that hypertext allows articles and books to be connected with other texts on the internet, 'missionaries are religionists' is true.", 'On the condition that missionaries are religionists, it is definitely the case that a dream is imagination.', 'When either many people believe that oral iron medications cause a false positive fecal blood test or success is a way of life that starts with belief and ends with performance is true, it follows that hypertext allows articles and books to be connected with other texts on the internet.', 'When most animals have two testicles, although some jawless fish only have one is true, it follows that hypertext allows articles and books to be connected with other texts on the internet.', 'One may reasonably assume that if the statement, either either many people believe that oral iron medications cause a false positive fecal blood test or success is a way of life that starts with belief and ends with performance or most animals have two testicles, although some jawless fish only have one, does not hold, then we know that the claim that teeth appear to play no role in feeding is false.', 'When financial reform refers to proposals to modernize the financial services industry is true, it follows that if the statement, either either many people believe that oral iron medications cause a false positive fecal blood test or success is a way of life that starts with belief and ends with performance or most animals have two testicles, although some jawless fish only have one, does not hold, then teeth appear to play no role in feeding.', 'The statement that states financial reform refers to proposals to modernize the financial services industry is right.']
|
Whenever it is true that hypertext allows articles and books to be connected with other texts on the internet, 'missionaries are religionists' is true. On the condition that missionaries are religionists, it is definitely the case that a dream is imagination. When either many people believe that oral iron medications cause a false positive fecal blood test or success is a way of life that starts with belief and ends with performance is true, it follows that hypertext allows articles and books to be connected with other texts on the internet. When most animals have two testicles, although some jawless fish only have one is true, it follows that hypertext allows articles and books to be connected with other texts on the internet. One may reasonably assume that if the statement, either either many people believe that oral iron medications cause a false positive fecal blood test or success is a way of life that starts with belief and ends with performance or most animals have two testicles, although some jawless fish only have one, does not hold, then we know that the claim that teeth appear to play no role in feeding is false. When financial reform refers to proposals to modernize the financial services industry is true, it follows that if the statement, either either many people believe that oral iron medications cause a false positive fecal blood test or success is a way of life that starts with belief and ends with performance or most animals have two testicles, although some jawless fish only have one, does not hold, then teeth appear to play no role in feeding. The statement that states financial reform refers to proposals to modernize the financial services industry is right.
|
Those that suggest a dream is imagination are right.
|
The claim that a dream is imagination does not correspond with reality.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [5].
If [5], then [0].
Therefore, If [1], then [0]..
[SC2-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-2]
If (Either [2] or [3].), then [1].
If [4], then [1].
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either (Either [2] or [3].) or [4].).), then [6]. [SC1-3]
If (Not (Either (Either [2] or [3].) or [4].).), then (Not [6].).
Therefore, Either (Either [2] or [3].) or [4]..
[SC1-3]
Modus Ponens:
If [7], then (If (Not (Either (Either [2] or [3].) or [4].).), then [6].).
[7]
Therefore, If (Not (Either (Either [2] or [3].) or [4].).), then [6]..
|
{0: 'A dream is imagination.', 1: 'Hypertext allows articles and books to be connected with other texts on the internet.', 2: 'Many people believe that oral iron medications cause a false positive fecal blood test.', 3: 'Success is a way of life that starts with belief and ends with performance.', 4: 'Most animals have two testicles, although some jawless fish only have one.', 5: 'Missionaries are religionists.', 6: 'Teeth appear to play no role in feeding.', 7: 'Financial reform refers to proposals to modernize the financial services industry.'}
| 5 |
4,516 |
["It is a fact that either some enzymes have types or if the statement that 'berries have properties' is incorrect, then explorer isa person.", 'It is not true that some enzymes have types.', "Once we know the notion that 'if the statement that 'berries have properties' is incorrect, then the notion that 'explorer isa person' is untrue' is untrue, we also know that the claim that characteristics are quality is false.", "We know that either litter kills or injures animals or if the notion that 'if the statement that 'berries have properties' is incorrect, then the notion that 'explorer isa person' is untrue' is untrue, then characteristics are quality.", 'Provided that litter kills or injures animals, we know that if interscholastic debate is one such method of critical thinking, then stress is certainly transmittable from animal to animal and species to species.', 'Assuming litter kills or injures animals, we know that the claim that if interscholastic debate is one such method of critical thinking, then stress is certainly transmittable from animal to animal and species to species is false.']
|
It is a fact that either some enzymes have types or if the statement that 'berries have properties' is incorrect, then explorer isa person. It is not true that some enzymes have types. Once we know the notion that 'if the statement that 'berries have properties' is incorrect, then the notion that 'explorer isa person' is untrue' is untrue, we also know that the claim that characteristics are quality is false. We know that either litter kills or injures animals or if the notion that 'if the statement that 'berries have properties' is incorrect, then the notion that 'explorer isa person' is untrue' is untrue, then characteristics are quality. Provided that litter kills or injures animals, we know that if interscholastic debate is one such method of critical thinking, then stress is certainly transmittable from animal to animal and species to species. Assuming litter kills or injures animals, we know that the claim that if interscholastic debate is one such method of critical thinking, then stress is certainly transmittable from animal to animal and species to species is false.
|
It is the case that berries have properties.
|
Berries are small, sweet, liquid, bright colored fruits.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (Not [0].), then [1].).
Not [3].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
If (Not (If (Not [0].), then (Not [1].).).), then (Not [2].).
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If (Not [0].), then (Not [1].).).), then [2].).
Not [4]. [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC2-3]
Reductio Ad Absurdum:
If [4], then (If [5], then [6].).
If [4], then (Not (If [5], then [6].).).
Therefore, Not [4]..
|
{0: 'Berries have properties.', 1: 'Explorer isa person.', 2: 'Characteristics are quality.', 3: 'Some enzymes have types.', 4: 'Litter kills or injures animals.', 5: 'Interscholastic debate is one such method of critical thinking.', 6: 'Stress is certainly transmittable from animal to animal and species to species.'}
| 5 |
4,518 |
['Assuming the claim that if cultures can tolerate petroleum concentrations inhibitory to many indigenous populations, then football is the main sport of the month does not correspond with reality, we know that hospitals use rechargeable batteries in portable defibrillators and heart monitors to save lives.', 'We know that the claim that radiation can overload microcircuits and cause their transistors to shut down-permanently is false.', "Either if globalization is the dominant force of our time, then sludge treatment reduces the volume, offensiveness, and number of pathogens in sewage solids or lesbians are also part of women's rights.", "Provided that lesbians are also part of women's rights, we know that those that suggest hospitals use rechargeable batteries in portable defibrillators and heart monitors to save lives are wrong.", 'Provided that either food is an important aspect in life or cold wind brings cold air, we know that if if globalization is the dominant force of our time, then sludge treatment reduces the volume, offensiveness, and number of pathogens in sewage solids, then radiation can overload microcircuits and cause their transistors to shut down-permanently.', 'One may reasonably assume that if waxings is applications, then if if globalization is the dominant force of our time, then sludge treatment reduces the volume, offensiveness, and number of pathogens in sewage solids, then radiation can overload microcircuits and cause their transistors to shut down-permanently.', 'It is a fact that either seat belts are the difference between life and death or either either food is an important aspect in life or cold wind brings cold air or waxings is applications.', 'The statement that states seat belts are the difference between life and death is false.']
|
Assuming the claim that if cultures can tolerate petroleum concentrations inhibitory to many indigenous populations, then football is the main sport of the month does not correspond with reality, we know that hospitals use rechargeable batteries in portable defibrillators and heart monitors to save lives. We know that the claim that radiation can overload microcircuits and cause their transistors to shut down-permanently is false. Either if globalization is the dominant force of our time, then sludge treatment reduces the volume, offensiveness, and number of pathogens in sewage solids or lesbians are also part of women's rights. Provided that lesbians are also part of women's rights, we know that those that suggest hospitals use rechargeable batteries in portable defibrillators and heart monitors to save lives are wrong. Provided that either food is an important aspect in life or cold wind brings cold air, we know that if if globalization is the dominant force of our time, then sludge treatment reduces the volume, offensiveness, and number of pathogens in sewage solids, then radiation can overload microcircuits and cause their transistors to shut down-permanently. One may reasonably assume that if waxings is applications, then if if globalization is the dominant force of our time, then sludge treatment reduces the volume, offensiveness, and number of pathogens in sewage solids, then radiation can overload microcircuits and cause their transistors to shut down-permanently. It is a fact that either seat belts are the difference between life and death or either either food is an important aspect in life or cold wind brings cold air or waxings is applications. The statement that states seat belts are the difference between life and death is false.
|
When cultures can tolerate petroleum concentrations inhibitory to many indigenous populations is true, it follows that football is the main sport of the month.
|
The claim that if cultures can tolerate petroleum concentrations inhibitory to many indigenous populations, then football is the main sport of the month is false.
|
FALSE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2].
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [2].). [SC1-2]
Not [3].
Therefore, Not [2]..
[SC1-2]
Constructive Dilemma:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then [3]. [SC2-3]
If [6], then (Not [2].).
Therefore, Either [3] or (Not [2].)..
[SC2-3]
Disjunction Elimination:
Either (Either [7] or [8].) or [9]. [SC1-4]
If (Either [7] or [8].), then (If (If [4], then [5].), then [3].).
If [9], then (If (If [4], then [5].), then [3].).
Therefore, If (If [4], then [5].), then [3]..
[SC1-4]
Disjunctive Syllogism:
Either [10] or (Either (Either [7] or [8].) or [9].).
Not [10].
Therefore, Either (Either [7] or [8].) or [9]..
|
{0: 'Cultures can tolerate petroleum concentrations inhibitory to many indigenous populations.', 1: 'Football is the main sport of the month.', 2: 'Hospitals use rechargeable batteries in portable defibrillators and heart monitors to save lives.', 3: 'Radiation can overload microcircuits and cause their transistors to shut down-permanently.', 4: 'Globalization is the dominant force of our time.', 5: 'Sludge treatment reduces the volume, offensiveness, and number of pathogens in sewage solids.', 6: "Lesbians are also part of women's rights.", 7: 'Food is an important aspect in life.', 8: 'Cold wind brings cold air.', 9: 'Waxings is applications.', 10: 'Seat belts are the difference between life and death.'}
| 5 |
4,940 |
["Should it be the case that the statement 'hedgehogs have a coat of stiff, sharp spines' can be considered false, it follows that it is not true that observations are looks.", "When the claim that if the statement 'hedgehogs have a coat of stiff, sharp spines' can be considered false, then pesticides undergo careful testing under controlled laboratory conditions does not reflect reality is true, it follows that multiple methods produce results.", 'It is not true that multiple methods produce results.', 'It is true that products contain volatile compounds.', "Whenever it is true that the claim that if products contain volatile compounds, then if pesticides undergo careful testing under controlled laboratory conditions, then observations are looks does not reflect reality, 'poverty is associated with many negative outcomes for both adults and children' is true.", 'Provided that the claim that if products contain volatile compounds, then if pesticides undergo careful testing under controlled laboratory conditions, then observations are looks does not reflect reality, we know that some people mistakenly believe that poverty is associated with many negative outcomes for both adults and children.']
|
Should it be the case that the statement 'hedgehogs have a coat of stiff, sharp spines' can be considered false, it follows that it is not true that observations are looks. When the claim that if the statement 'hedgehogs have a coat of stiff, sharp spines' can be considered false, then pesticides undergo careful testing under controlled laboratory conditions does not reflect reality is true, it follows that multiple methods produce results. It is not true that multiple methods produce results. It is true that products contain volatile compounds. Whenever it is true that the claim that if products contain volatile compounds, then if pesticides undergo careful testing under controlled laboratory conditions, then observations are looks does not reflect reality, 'poverty is associated with many negative outcomes for both adults and children' is true. Provided that the claim that if products contain volatile compounds, then if pesticides undergo careful testing under controlled laboratory conditions, then observations are looks does not reflect reality, we know that some people mistakenly believe that poverty is associated with many negative outcomes for both adults and children.
|
Those that suggest hedgehogs have a coat of stiff, sharp spines are right.
|
Those that suggest hedgehogs have a coat of stiff, sharp spines are right.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not [0].), then [2].).), then [4].
Not [4].
Therefore, If (Not [0].), then [2]..
[SC2-2]
Modus Ponens:
If [3], then (If [2], then [1].). [SC1-3]
[3]
Therefore, If [2], then [1]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [3], then (If [2], then [1].).).), then [5].
If (Not (If [3], then (If [2], then [1].).).), then (Not [5].).
Therefore, If [3], then (If [2], then [1].)..
|
{0: 'Hedgehogs have a coat of stiff, sharp spines.', 1: 'Observations are looks.', 2: 'Pesticides undergo careful testing under controlled laboratory conditions.', 3: 'Products contain volatile compounds.', 4: 'Multiple methods produce results.', 5: 'Poverty is associated with many negative outcomes for both adults and children.'}
| 5 |
4,113 |
["Whenever it is true that pathogenic fungus contributes to amphibian losses in the Pacific Northwest, 'the statement that 'physiology seeks to understand the mechanisms that operate within the individual organism' is incorrect' is true.", 'The claim that objective truths are independent of human wishes and beliefs has no merit.', 'When kinkajous have (part) breasts is true, it follows that if the claim that pathogenic fungus contributes to amphibian losses in the Pacific Northwest has no merit, then some hip sockets are part of horses.', 'The idea that kinkajous have (part) breasts is true.', 'It is a fact that either plasma has refractive indexes or most organisms feed on a wide variety of plants and animals.', 'One may reasonably assume that if plasma has refractive indexes, then if some hip sockets are part of horses, then objective truths are independent of human wishes and beliefs.', 'One may reasonably assume that if most organisms feed on a wide variety of plants and animals, then if some hip sockets are part of horses, then objective truths are independent of human wishes and beliefs.']
|
Whenever it is true that pathogenic fungus contributes to amphibian losses in the Pacific Northwest, 'the statement that 'physiology seeks to understand the mechanisms that operate within the individual organism' is incorrect' is true. The claim that objective truths are independent of human wishes and beliefs has no merit. When kinkajous have (part) breasts is true, it follows that if the claim that pathogenic fungus contributes to amphibian losses in the Pacific Northwest has no merit, then some hip sockets are part of horses. The idea that kinkajous have (part) breasts is true. It is a fact that either plasma has refractive indexes or most organisms feed on a wide variety of plants and animals. One may reasonably assume that if plasma has refractive indexes, then if some hip sockets are part of horses, then objective truths are independent of human wishes and beliefs. One may reasonably assume that if most organisms feed on a wide variety of plants and animals, then if some hip sockets are part of horses, then objective truths are independent of human wishes and beliefs.
|
The statement that 'physiology seeks to understand the mechanisms that operate within the individual organism' is incorrect.
|
It is true that physiology seeks to understand the mechanisms that operate within the individual organism.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].).
[1] [SC2-1]
Therefore, Not [0]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [2]. [SC1-2]
Not [2].
Therefore, [1].
[SC1-2]
Hypothetical Syllogism:
If (Not [1].), then [3]. [SC1-3]
If [3], then [2]. [SC2-3]
Therefore, If (Not [1].), then [2]..
[SC1-3]
Modus Ponens:
If [4], then (If (Not [1].), then [3].).
[4]
Therefore, If (Not [1].), then [3]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [3], then [2].).
If [6], then (If [3], then [2].).
Therefore, If [3], then [2]..
|
{0: 'Physiology seeks to understand the mechanisms that operate within the individual organism.', 1: 'Pathogenic fungus contributes to amphibian losses in the Pacific Northwest.', 2: 'Objective truths are independent of human wishes and beliefs.', 3: 'Some hip sockets are part of horses.', 4: 'Kinkajous have (part) breasts.', 5: 'Plasma has refractive indexes.', 6: 'Most organisms feed on a wide variety of plants and animals.'}
| 5 |
4,612 |
['If plesiosaurs are a group of marine predators that descended from terrestrial ancestors, then if either thyroid hormones regulate growth or juice has bitter taste, then a sea snail is a bony fish.', 'It is a fact that either physicists seek to investigate and understand the basic structure of the universe or doves have (part) faces.', 'Provided that physicists seek to investigate and understand the basic structure of the universe, we know that thyroid hormones regulate growth.', 'On the condition that doves have (part) faces, it is definitely the case that juice has bitter taste.', 'It is a fact that either if social scientists study human behavior, then water is ingested through food, also formed during metabolic reactions or yeast is the basis for many vitamin and mineral preparations.', 'One may reasonably assume that if if social scientists study human behavior, then water is ingested through food, also formed during metabolic reactions, then plesiosaurs are a group of marine predators that descended from terrestrial ancestors.', 'We know that at least one of two things is true: dental problems are very serious and can cause all sorts of ailments, or little penguins live in the park.', 'Once we know dental problems are very serious and can cause all sorts of ailments, we also know that if yeast is the basis for many vitamin and mineral preparations, then plesiosaurs are a group of marine predators that descended from terrestrial ancestors.', 'Provided that little penguins live in the park, we know that if yeast is the basis for many vitamin and mineral preparations, then plesiosaurs are a group of marine predators that descended from terrestrial ancestors.']
|
If plesiosaurs are a group of marine predators that descended from terrestrial ancestors, then if either thyroid hormones regulate growth or juice has bitter taste, then a sea snail is a bony fish. It is a fact that either physicists seek to investigate and understand the basic structure of the universe or doves have (part) faces. Provided that physicists seek to investigate and understand the basic structure of the universe, we know that thyroid hormones regulate growth. On the condition that doves have (part) faces, it is definitely the case that juice has bitter taste. It is a fact that either if social scientists study human behavior, then water is ingested through food, also formed during metabolic reactions or yeast is the basis for many vitamin and mineral preparations. One may reasonably assume that if if social scientists study human behavior, then water is ingested through food, also formed during metabolic reactions, then plesiosaurs are a group of marine predators that descended from terrestrial ancestors. We know that at least one of two things is true: dental problems are very serious and can cause all sorts of ailments, or little penguins live in the park. Once we know dental problems are very serious and can cause all sorts of ailments, we also know that if yeast is the basis for many vitamin and mineral preparations, then plesiosaurs are a group of marine predators that descended from terrestrial ancestors. Provided that little penguins live in the park, we know that if yeast is the basis for many vitamin and mineral preparations, then plesiosaurs are a group of marine predators that descended from terrestrial ancestors.
|
a sea snail is a bony fish.
|
The claim that a sea snail is a bony fish is false.
|
FALSE
|
Modus Ponens:
If (Either [1] or [2].), then [0]. [SC1-1]
Either [1] or [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [5], then (If (Either [1] or [2].), then [0].).
[5] [SC2-2]
Therefore, If (Either [1] or [2].), then [0]..
[SC2-2]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then [5].
If [8], then [5]. [SC3-3]
Therefore, [5].
[SC3-3]
Disjunction Elimination:
Either [9] or [10].
If [9], then (If [8], then [5].).
If [10], then (If [8], then [5].).
Therefore, If [8], then [5]..
[SC2-1]
Constructive Dilemma:
Either [3] or [4].
If [3], then [1].
If [4], then [2].
Therefore, Either [1] or [2]..
|
{0: 'A sea snail is a bony fish.', 1: 'Thyroid hormones regulate growth.', 2: 'Juice has bitter taste.', 3: 'Physicists seek to investigate and understand the basic structure of the universe.', 4: 'Doves have (part) faces.', 5: 'Plesiosaurs are a group of marine predators that descended from terrestrial ancestors.', 6: 'Social scientists study human behavior.', 7: 'Water is ingested through food, also formed during metabolic reactions.', 8: 'Yeast is the basis for many vitamin and mineral preparations.', 9: 'Dental problems are very serious and can cause all sorts of ailments.', 10: 'Little penguins live in the park.'}
| 5 |
4,037 |
['Either one or both of these statements are true: mollusks exhibit common features, or some mice transmit organisms.', 'Should it be the case that we know that the claim that if mollusks exhibit common features, then web directories index a subset of the Web, broken down by categories much like a library catalog is false, it follows that diseased plants have lesions on their roots immediately below the ground line.', 'It is rational to believe that either weight loss helps people with diabetes in two important ways or ordinary tin is a silver-white metal, is malleable, ductile, and has a highly crystalline structure.', 'Assuming weight loss helps people with diabetes in two important ways, we know that the statement, web directories index a subset of the Web, broken down by categories much like a library catalog, does not hold.', "Whenever it is true that ordinary tin is a silver-white metal, is malleable, ductile, and has a highly crystalline structure, 'the statement, web directories index a subset of the Web, broken down by categories much like a library catalog, does not hold' is true.", 'Given that diseased plants have lesions on their roots immediately below the ground line, it can be inferred that depressed people tend to use too much caffeine, tobacco, and alcohol.', 'Those that suggest depressed people tend to use too much caffeine, tobacco, and alcohol are wrong.']
|
Either one or both of these statements are true: mollusks exhibit common features, or some mice transmit organisms. Should it be the case that we know that the claim that if mollusks exhibit common features, then web directories index a subset of the Web, broken down by categories much like a library catalog is false, it follows that diseased plants have lesions on their roots immediately below the ground line. It is rational to believe that either weight loss helps people with diabetes in two important ways or ordinary tin is a silver-white metal, is malleable, ductile, and has a highly crystalline structure. Assuming weight loss helps people with diabetes in two important ways, we know that the statement, web directories index a subset of the Web, broken down by categories much like a library catalog, does not hold. Whenever it is true that ordinary tin is a silver-white metal, is malleable, ductile, and has a highly crystalline structure, 'the statement, web directories index a subset of the Web, broken down by categories much like a library catalog, does not hold' is true. Given that diseased plants have lesions on their roots immediately below the ground line, it can be inferred that depressed people tend to use too much caffeine, tobacco, and alcohol. Those that suggest depressed people tend to use too much caffeine, tobacco, and alcohol are wrong.
|
We can assume that some mice transmit organisms.
|
Mouses have fur.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If [1], then [2]. [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [2].).), then [5].
Not [5]. [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Modus Tonens:
If [5], then [6].
Not [6].
Therefore, Not [5]..
[SC2-2]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [2].).
If [4], then (Not [2].).
Therefore, Not [2]..
|
{0: 'Some mice transmit organisms.', 1: 'Mollusks exhibit common features.', 2: 'Web directories index a subset of the Web, broken down by categories much like a library catalog.', 3: 'Weight loss helps people with diabetes in two important ways.', 4: 'Ordinary tin is a silver-white metal, is malleable, ductile, and has a highly crystalline structure.', 5: 'Diseased plants have lesions on their roots immediately below the ground line.', 6: 'Depressed people tend to use too much caffeine, tobacco, and alcohol.'}
| 5 |
4,894 |
['The claim that most landscapes provide important habitats holds true.', "We know that at least one of two things is true: art is a society's infrastructure, or the claim that cuttlefish have a fin that goes around their body, that looks like a skirt does not reflect reality.", "It is not true that art is a society's infrastructure.", 'Assuming elephants have distinctive features, we know that if most landscapes provide important habitats, then either cuttlefish have a fin that goes around their body, that looks like a skirt or men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle.', 'Once we know most pill millipedes roll into balls, we also know that if most landscapes provide important habitats, then either cuttlefish have a fin that goes around their body, that looks like a skirt or men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle.', 'Either hydrogenated fats are high in trans-fatty acids or either elephants have distinctive features or most pill millipedes roll into balls.', 'The statement, hydrogenated fats are high in trans-fatty acids , does not hold.']
|
The claim that most landscapes provide important habitats holds true. We know that at least one of two things is true: art is a society's infrastructure, or the claim that cuttlefish have a fin that goes around their body, that looks like a skirt does not reflect reality. It is not true that art is a society's infrastructure. Assuming elephants have distinctive features, we know that if most landscapes provide important habitats, then either cuttlefish have a fin that goes around their body, that looks like a skirt or men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle. Once we know most pill millipedes roll into balls, we also know that if most landscapes provide important habitats, then either cuttlefish have a fin that goes around their body, that looks like a skirt or men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle. Either hydrogenated fats are high in trans-fatty acids or either elephants have distinctive features or most pill millipedes roll into balls. The statement, hydrogenated fats are high in trans-fatty acids , does not hold.
|
It is rational to agree that men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle.
|
Some people mistakenly believe that men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (Either [1] or [0].). [SC1-2]
[2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunction Elimination:
Either [4] or [5]. [SC1-3]
If [4], then (If [2], then (Either [1] or [0].).).
If [5], then (If [2], then (Either [1] or [0].).).
Therefore, If [2], then (Either [1] or [0].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (Either [4] or [5].).
Not [6].
Therefore, Either [4] or [5]..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (Not [1].).
Not [3].
Therefore, Not [1]..
|
{0: 'Men can keep their bones healthy and lower their risk for osteoporosis with a healthy lifestyle.', 1: 'Cuttlefish have a fin that goes around their body, that looks like a skirt.', 2: 'Most landscapes provide important habitats.', 3: "Art is a society's infrastructure.", 4: 'Elephants have distinctive features.', 5: 'Most pill millipedes roll into balls.', 6: 'Hydrogenated fats are high in trans-fatty acids .'}
| 5 |
4,895 |
["We know that either restraint is a sovereign's sword, wielded with honor by the truly powerful or grapes have lateral growth.", "Should it be the case that restraint is a sovereign's sword, wielded with honor by the truly powerful, it follows that we know that the claim that hydration is monitored by serum hematocrit is false.", "So long as grapes have lateral growth, 'we know that the claim that hydration is monitored by serum hematocrit is false' is true.", 'There is good reason to believe that either if hippos have (part) skulls, then most women experience mild breast pain or if those that suggest either hydration is monitored by serum hematocrit or camels has-part feet are wrong, then locusts destroy fruit.', 'It is not the case that if hippos have (part) skulls, then most women experience mild breast pain.', 'If the claim that if those that suggest either hydration is monitored by serum hematocrit or camels has-part feet are wrong, then the claim that locusts destroy fruit does not reflect reality has no merit, then opposites attract when Mars and Venus collide.', 'Some people mistakenly believe that opposites attract when Mars and Venus collide.']
|
We know that either restraint is a sovereign's sword, wielded with honor by the truly powerful or grapes have lateral growth. Should it be the case that restraint is a sovereign's sword, wielded with honor by the truly powerful, it follows that we know that the claim that hydration is monitored by serum hematocrit is false. So long as grapes have lateral growth, 'we know that the claim that hydration is monitored by serum hematocrit is false' is true. There is good reason to believe that either if hippos have (part) skulls, then most women experience mild breast pain or if those that suggest either hydration is monitored by serum hematocrit or camels has-part feet are wrong, then locusts destroy fruit. It is not the case that if hippos have (part) skulls, then most women experience mild breast pain. If the claim that if those that suggest either hydration is monitored by serum hematocrit or camels has-part feet are wrong, then the claim that locusts destroy fruit does not reflect reality has no merit, then opposites attract when Mars and Venus collide. Some people mistakenly believe that opposites attract when Mars and Venus collide.
|
It is a simple truth that camels has-part feet.
|
It is a simple truth that camels has-part feet.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then [2]. [SC1-2]
If (Not (Either [1] or [0].).), then (Not [2].). [SC2-2]
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either (If [6], then [7].) or (If (Not (Either [1] or [0].).), then [2].).
Not (If [6], then [7].).
Therefore, If (Not (Either [1] or [0].).), then [2]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (Either [1] or [0].).), then (Not [2].).).), then [5].
Not [5].
Therefore, If (Not (Either [1] or [0].).), then (Not [2].)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (Not [1].).
If [4], then (Not [1].).
Therefore, Not [1]..
|
{0: 'Camels has-part feet.', 1: 'Hydration is monitored by serum hematocrit.', 2: 'Locusts destroy fruit.', 3: "Restraint is a sovereign's sword, wielded with honor by the truly powerful.", 4: 'Grapes have lateral growth.', 5: 'Opposites attract when Mars and Venus collide.', 6: 'Hippos have (part) skulls.', 7: 'Most women experience mild breast pain.'}
| 5 |
4,992 |
['It is not true that if cartilage is a type of connective tisue that is softer and more flexible than bone, then most average people have sweat glands.', 'One may reasonably assume that if the claim that most bones connect muscles is false, then small mammals may have difficulty.', 'It is a common misconception that small mammals may have difficulty.', 'We know that at least one of two things is true: cats attain body length, or if it is a common misconception that if most bones connect muscles, then if some domestic arrangements affect social justice, then global amnesia is suffered by people who have suffered damage to the hippocampus, then if cartilage is a type of connective tisue that is softer and more flexible than bone, then most average people have sweat glands.', 'On the condition that cats attain body length, it is definitely the case that bycatch occurs when fish species other than targeted species are harvested, and often killed.', 'It is a common misconception that bycatch occurs when fish species other than targeted species are harvested, and often killed.']
|
It is not true that if cartilage is a type of connective tisue that is softer and more flexible than bone, then most average people have sweat glands. One may reasonably assume that if the claim that most bones connect muscles is false, then small mammals may have difficulty. It is a common misconception that small mammals may have difficulty. We know that at least one of two things is true: cats attain body length, or if it is a common misconception that if most bones connect muscles, then if some domestic arrangements affect social justice, then global amnesia is suffered by people who have suffered damage to the hippocampus, then if cartilage is a type of connective tisue that is softer and more flexible than bone, then most average people have sweat glands. On the condition that cats attain body length, it is definitely the case that bycatch occurs when fish species other than targeted species are harvested, and often killed. It is a common misconception that bycatch occurs when fish species other than targeted species are harvested, and often killed.
|
So long as some domestic arrangements affect social justice, 'global amnesia is suffered by people who have suffered damage to the hippocampus' is true.
|
So long as some domestic arrangements affect social justice, 'global amnesia is suffered by people who have suffered damage to the hippocampus' is true.
|
TRUE
|
Modus Ponens:
If [2], then (If [0], then [1].). [SC1-1]
[2] [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If [2], then (If [0], then [1].).).), then (If [4], then [5].). [SC1-2]
Not (If [4], then [5].).
Therefore, If [2], then (If [0], then [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [6] or (If (Not (If [2], then (If [0], then [1].).).), then (If [4], then [5].).).
Not [6]. [SC2-3]
Therefore, If (Not (If [2], then (If [0], then [1].).).), then (If [4], then [5].)..
[SC2-3]
Modus Tonens:
If [6], then [7].
Not [7].
Therefore, Not [6]..
[SC2-1]
Modus Tonens:
If (Not [2].), then [3].
Not [3].
Therefore, [2].
|
{0: 'Some domestic arrangements affect social justice.', 1: 'Global amnesia is suffered by people who have suffered damage to the hippocampus.', 2: 'Most bones connect muscles.', 3: 'Small mammals may have difficulty.', 4: 'Cartilage is a type of connective tisue that is softer and more flexible than bone.', 5: 'Most average people have sweat glands.', 6: 'Cats attain body length.', 7: 'Bycatch occurs when fish species other than targeted species are harvested, and often killed.'}
| 5 |
4,158 |
["Whenever it is true that either widow spiders are poisonous spiders or sarcoma is a term used for tumour cells that resemble embryonic connective tissue cells, 'if shark cartilage is a pure source of an important family of carbohydrates called mucopolysaccharides, then slavery is a system' is true.", 'One may reasonably assume that if head lice can quickly spread through a classroom, especially with young children, then the claim that if shark cartilage is a pure source of an important family of carbohydrates called mucopolysaccharides, then slavery is a system does not reflect reality.', 'Either one or both of these statements are true: either minorities are egregiously underrepresented in the human factors and cognitive science communities or some pheasants fly over fields, or journalists have (part) heads.', 'Assuming either minorities are egregiously underrepresented in the human factors and cognitive science communities or some pheasants fly over fields, we know that specialization is the archenemy of the discovery of more basic knowledge.', 'Given that specialization is the archenemy of the discovery of more basic knowledge, it can be inferred that rats have great respect for their parents and dote on their own children.', 'On the condition that rats have great respect for their parents and dote on their own children, it is definitely the case that the claim that if shark cartilage is a pure source of an important family of carbohydrates called mucopolysaccharides, then slavery is a system does not reflect reality.', "Whenever it is true that dietary restrictions can have health benefits, 'if journalists have (part) heads, then head lice can quickly spread through a classroom, especially with young children' is true.", "The statement 'dietary restrictions can have health benefits' can be considered true."]
|
Whenever it is true that either widow spiders are poisonous spiders or sarcoma is a term used for tumour cells that resemble embryonic connective tissue cells, 'if shark cartilage is a pure source of an important family of carbohydrates called mucopolysaccharides, then slavery is a system' is true. One may reasonably assume that if head lice can quickly spread through a classroom, especially with young children, then the claim that if shark cartilage is a pure source of an important family of carbohydrates called mucopolysaccharides, then slavery is a system does not reflect reality. Either one or both of these statements are true: either minorities are egregiously underrepresented in the human factors and cognitive science communities or some pheasants fly over fields, or journalists have (part) heads. Assuming either minorities are egregiously underrepresented in the human factors and cognitive science communities or some pheasants fly over fields, we know that specialization is the archenemy of the discovery of more basic knowledge. Given that specialization is the archenemy of the discovery of more basic knowledge, it can be inferred that rats have great respect for their parents and dote on their own children. On the condition that rats have great respect for their parents and dote on their own children, it is definitely the case that the claim that if shark cartilage is a pure source of an important family of carbohydrates called mucopolysaccharides, then slavery is a system does not reflect reality. Whenever it is true that dietary restrictions can have health benefits, 'if journalists have (part) heads, then head lice can quickly spread through a classroom, especially with young children' is true. The statement 'dietary restrictions can have health benefits' can be considered true.
|
The notion that 'either widow spiders are poisonous spiders or sarcoma is a term used for tumour cells that resemble embryonic connective tissue cells' is untrue.
|
The notion that 'either widow spiders are poisonous spiders or sarcoma is a term used for tumour cells that resemble embryonic connective tissue cells' is untrue.
|
TRUE
|
Modus Tonens:
If (Either [0] or [1].), then (If [2], then [3].).
Not (If [2], then [3].). [SC2-1]
Therefore, Not (Either [0] or [1].)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then (Not (If [2], then [3].).). [SC2-2]
If [5], then (Not (If [2], then [3].).).
Therefore, Not (If [2], then [3].)..
[SC1-2]
Constructive Dilemma:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then [4].
If [9], then [5]. [SC3-3]
Therefore, Either [4] or [5]..
[SC3-3]
Modus Ponens:
If [10], then (If [9], then [5].).
[10]
Therefore, If [9], then [5]..
[SC2-2]
Hypothetical Syllogism:
If [4], then [6].
If [6], then (Not (If [2], then [3].).).
Therefore, If [4], then (Not (If [2], then [3].).)..
|
{0: 'Widow spiders are poisonous spiders.', 1: 'Sarcoma is a term used for tumour cells that resemble embryonic connective tissue cells.', 2: 'Shark cartilage is a pure source of an important family of carbohydrates called mucopolysaccharides.', 3: 'Slavery is a system.', 4: 'Specialization is the archenemy of the discovery of more basic knowledge.', 5: 'Head lice can quickly spread through a classroom, especially with young children.', 6: 'Rats have great respect for their parents and dote on their own children.', 7: 'Minorities are egregiously underrepresented in the human factors and cognitive science communities.', 8: 'Some pheasants fly over fields.', 9: 'Journalists have (part) heads.', 10: 'Dietary restrictions can have health benefits.'}
| 5 |
4,154 |
['When it is not true that fountain pens have ink is true, it follows that the claim that most spider bites occur at night when a spider passes over a sleeping victim does not reflect reality.', 'Given that energy use is a cost of production, it can be inferred that if it is not true that fountain pens have ink, then most spider bites occur at night when a spider passes over a sleeping victim.', 'On the condition that the claim that either either blood vessels appear in the yolk sac or aggregation isa group or energy use is a cost of production does not reflect reality, it is definitely the case that those that suggest if most sports require a significant amount of training to cultivate skill, then health depends on many factors are wrong.', "Whenever it is true that we know that the claim that if either blood vessels appear in the yolk sac or aggregation isa group, then if it is not true that fountain pens have ink, then most spider bites occur at night when a spider passes over a sleeping victim is false, 'tyrosine can act as a mild appetite suppressant' is true.", 'The statement, tyrosine can act as a mild appetite suppressant, does not hold.', 'Assuming entrepreneurs start companies, we know that if the claim that either either blood vessels appear in the yolk sac or aggregation isa group or energy use is a cost of production does not reflect reality, then if most sports require a significant amount of training to cultivate skill, then health depends on many factors.', "The statement 'entrepreneurs start companies' can be considered true."]
|
When it is not true that fountain pens have ink is true, it follows that the claim that most spider bites occur at night when a spider passes over a sleeping victim does not reflect reality. Given that energy use is a cost of production, it can be inferred that if it is not true that fountain pens have ink, then most spider bites occur at night when a spider passes over a sleeping victim. On the condition that the claim that either either blood vessels appear in the yolk sac or aggregation isa group or energy use is a cost of production does not reflect reality, it is definitely the case that those that suggest if most sports require a significant amount of training to cultivate skill, then health depends on many factors are wrong. Whenever it is true that we know that the claim that if either blood vessels appear in the yolk sac or aggregation isa group, then if it is not true that fountain pens have ink, then most spider bites occur at night when a spider passes over a sleeping victim is false, 'tyrosine can act as a mild appetite suppressant' is true. The statement, tyrosine can act as a mild appetite suppressant, does not hold. Assuming entrepreneurs start companies, we know that if the claim that either either blood vessels appear in the yolk sac or aggregation isa group or energy use is a cost of production does not reflect reality, then if most sports require a significant amount of training to cultivate skill, then health depends on many factors. The statement 'entrepreneurs start companies' can be considered true.
|
The statement 'fountain pens have ink' is true.
|
Those that suggest fountain pens have ink are wrong.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].).
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either (Either [2] or [3].) or [4]. [SC1-2]
If (Either [2] or [3].), then (If (Not [0].), then [1].). [SC2-2]
If [4], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either (Either [2] or [3].) or [4].).), then (If [6], then [7].). [SC1-3]
If (Not (Either (Either [2] or [3].) or [4].).), then (Not (If [6], then [7].).).
Therefore, Either (Either [2] or [3].) or [4]..
[SC1-3]
Modus Ponens:
If [8], then (If (Not (Either (Either [2] or [3].) or [4].).), then (If [6], then [7].).).
[8]
Therefore, If (Not (Either (Either [2] or [3].) or [4].).), then (If [6], then [7].)..
[SC2-2]
Modus Tonens:
If (Not (If (Either [2] or [3].), then (If (Not [0].), then [1].).).), then [5].
Not [5].
Therefore, If (Either [2] or [3].), then (If (Not [0].), then [1].)..
|
{0: 'Fountain pens have ink.', 1: 'Most spider bites occur at night when a spider passes over a sleeping victim.', 2: 'Blood vessels appear in the yolk sac.', 3: 'Aggregation isa group.', 4: 'Energy use is a cost of production.', 5: 'Tyrosine can act as a mild appetite suppressant.', 6: 'Most sports require a significant amount of training to cultivate skill.', 7: 'Health depends on many factors.', 8: 'Entrepreneurs start companies.'}
| 5 |
4,040 |
['Some people mistakenly believe that if excess fat is unhealthy for anyone, and diabetics are twice as likely to suffer from heart disease, then most elephants are located on ground.', 'At least one of two things is true: either adolescent depression is a common disorder or garbage collection is the automatic reclamation of computer storage, or if negative liberty is freedom from, then price indices do a good job accounting for changes in the quality of goods.', 'It is not true that either adolescent depression is a common disorder or garbage collection is the automatic reclamation of computer storage.', 'Those that suggest spore formation occurs in the leaves as they become fully developed are right.', 'Either either cockatoos use heads or pipistrelles have (part) brains or if spore formation occurs in the leaves as they become fully developed, then either if excess fat is unhealthy for anyone, and diabetics are twice as likely to suffer from heart disease, then most elephants are located on ground or if if negative liberty is freedom from, then price indices do a good job accounting for changes in the quality of goods, then leeches are sensitive to substances such as chlorine, copper, and other chemicals.', 'It is not true that either cockatoos use heads or pipistrelles have (part) brains.']
|
Some people mistakenly believe that if excess fat is unhealthy for anyone, and diabetics are twice as likely to suffer from heart disease, then most elephants are located on ground. At least one of two things is true: either adolescent depression is a common disorder or garbage collection is the automatic reclamation of computer storage, or if negative liberty is freedom from, then price indices do a good job accounting for changes in the quality of goods. It is not true that either adolescent depression is a common disorder or garbage collection is the automatic reclamation of computer storage. Those that suggest spore formation occurs in the leaves as they become fully developed are right. Either either cockatoos use heads or pipistrelles have (part) brains or if spore formation occurs in the leaves as they become fully developed, then either if excess fat is unhealthy for anyone, and diabetics are twice as likely to suffer from heart disease, then most elephants are located on ground or if if negative liberty is freedom from, then price indices do a good job accounting for changes in the quality of goods, then leeches are sensitive to substances such as chlorine, copper, and other chemicals. It is not true that either cockatoos use heads or pipistrelles have (part) brains.
|
The claim that leeches are sensitive to substances such as chlorine, copper, and other chemicals is true.
|
The claim that leeches are sensitive to substances such as chlorine, copper, and other chemicals does not reflect reality.
|
FALSE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If (If [1], then [2].), then [0].). [SC1-2]
Not (If [5], then [6].).
Therefore, If (If [1], then [2].), then [0]..
[SC1-2]
Modus Ponens:
If [7], then (Either (If [5], then [6].) or (If (If [1], then [2].), then [0].).). [SC1-3]
[7]
Therefore, Either (If [5], then [6].) or (If (If [1], then [2].), then [0].)..
[SC1-3]
Disjunctive Syllogism:
Either (Either [8] or [9].) or (If [7], then (Either (If [5], then [6].) or (If (If [1], then [2].), then [0].).).).
Not (Either [8] or [9].).
Therefore, If [7], then (Either (If [5], then [6].) or (If (If [1], then [2].), then [0].).)..
[SC2-1]
Disjunctive Syllogism:
Either (Either [3] or [4].) or (If [1], then [2].).
Not (Either [3] or [4].).
Therefore, If [1], then [2]..
|
{0: 'Leeches are sensitive to substances such as chlorine, copper, and other chemicals.', 1: 'Negative liberty is freedom from.', 2: 'Price indices do a good job accounting for changes in the quality of goods.', 3: 'Adolescent depression is a common disorder.', 4: 'Garbage collection is the automatic reclamation of computer storage.', 5: 'Excess fat is unhealthy for anyone, and diabetics are twice as likely to suffer from heart disease.', 6: 'Most elephants are located on ground.', 7: 'Spore formation occurs in the leaves as they become fully developed.', 8: 'Cockatoos use heads.', 9: 'Pipistrelles have (part) brains.'}
| 5 |
4,585 |
['If weight gain precedes growth spurts, then some grass produces stolons.', 'Should it be the case that either pets suffering from flea bites can develop dermatitis, or inflammation of the skin or kestrels have (part) rib cages, it follows that essential oils are the volatile, aromatic oils obtained by steam or hydrodistillation of botanicals.', 'It is rational to believe that either language learning is never just about words or most children develop fine motor skills.', "Once we know language learning is never just about words, we also know that the statement 'some grass produces stolons' can be considered false.", "Given that most children develop fine motor skills, it can be inferred that the statement 'some grass produces stolons' can be considered false.", 'It is a common misconception that either a mitten is a glove or tunicates have testes.', "One may reasonably assume that if the notion that 'either either a mitten is a glove or tunicates have testes or either weight gain precedes growth spurts or either pets suffering from flea bites can develop dermatitis, or inflammation of the skin or kestrels have (part) rib cages' is untrue, then if mature women are a cornerstone of any society, then sexual transmission is a form of horizontal transmission.", "One may reasonably assume that if the notion that 'either either a mitten is a glove or tunicates have testes or either weight gain precedes growth spurts or either pets suffering from flea bites can develop dermatitis, or inflammation of the skin or kestrels have (part) rib cages' is untrue, then the statement, if mature women are a cornerstone of any society, then sexual transmission is a form of horizontal transmission, does not hold."]
|
If weight gain precedes growth spurts, then some grass produces stolons. Should it be the case that either pets suffering from flea bites can develop dermatitis, or inflammation of the skin or kestrels have (part) rib cages, it follows that essential oils are the volatile, aromatic oils obtained by steam or hydrodistillation of botanicals. It is rational to believe that either language learning is never just about words or most children develop fine motor skills. Once we know language learning is never just about words, we also know that the statement 'some grass produces stolons' can be considered false. Given that most children develop fine motor skills, it can be inferred that the statement 'some grass produces stolons' can be considered false. It is a common misconception that either a mitten is a glove or tunicates have testes. One may reasonably assume that if the notion that 'either either a mitten is a glove or tunicates have testes or either weight gain precedes growth spurts or either pets suffering from flea bites can develop dermatitis, or inflammation of the skin or kestrels have (part) rib cages' is untrue, then if mature women are a cornerstone of any society, then sexual transmission is a form of horizontal transmission. One may reasonably assume that if the notion that 'either either a mitten is a glove or tunicates have testes or either weight gain precedes growth spurts or either pets suffering from flea bites can develop dermatitis, or inflammation of the skin or kestrels have (part) rib cages' is untrue, then the statement, if mature women are a cornerstone of any society, then sexual transmission is a form of horizontal transmission, does not hold.
|
It is reasonable to believe that essential oils are the volatile, aromatic oils obtained by steam or hydrodistillation of botanicals.
|
Essential oils are natural, volatile substances.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [4] or (Either [5] or [6].). [SC1-2]
If [4], then [1].
If (Either [5] or [6].), then [0].
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [7] or [8].) or (Either [4] or (Either [5] or [6].).). [SC1-3]
Not (Either [7] or [8].).
Therefore, Either [4] or (Either [5] or [6].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (Either (Either [7] or [8].) or (Either [4] or (Either [5] or [6].).).).), then (If [9], then [10].).
If (Not (Either (Either [7] or [8].) or (Either [4] or (Either [5] or [6].).).).), then (Not (If [9], then [10].).).
Therefore, Either (Either [7] or [8].) or (Either [4] or (Either [5] or [6].).)..
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].).
If [3], then (Not [1].).
Therefore, Not [1]..
|
{0: 'Essential oils are the volatile, aromatic oils obtained by steam or hydrodistillation of botanicals.', 1: 'Some grass produces stolons.', 2: 'Language learning is never just about words.', 3: 'Most children develop fine motor skills.', 4: 'Weight gain precedes growth spurts.', 5: 'Pets suffering from flea bites can develop dermatitis, or inflammation of the skin.', 6: 'Kestrels have (part) rib cages.', 7: 'A mitten is a glove.', 8: 'Tunicates have testes.', 9: 'Mature women are a cornerstone of any society.', 10: 'Sexual transmission is a form of horizontal transmission.'}
| 5 |
4,805 |
["The statement 'calcium chloride can be corrosive to certain soft metals if left on for a period of time' can be considered false.", "One may reasonably assume that if we know that the claim that waste is ore is false, then stakeholders are all the groups of people who are affected by a product's success or failure.", "Whenever it is true that stakeholders are all the groups of people who are affected by a product's success or failure, 'chemists also count atoms when naming a sigmatropic shift where a hydrogen atom moves ' is true.", 'Given that the statement, if chemists also count atoms when naming a sigmatropic shift where a hydrogen atom moves , then calcium chloride can be corrosive to certain soft metals if left on for a period of time, does not hold, it can be inferred that gravitation is one of the most studied phenomena in physics.', 'Either most senior swimmers develop fitnesses or lung cancer is the leading cause of cancer deaths in men and women.', 'Once we know most senior swimmers develop fitnesses, we also know that if the statement, if chemists also count atoms when naming a sigmatropic shift where a hydrogen atom moves , then calcium chloride can be corrosive to certain soft metals if left on for a period of time, does not hold, then the statement that states gravitation is one of the most studied phenomena in physics is false.', 'One may reasonably assume that if lung cancer is the leading cause of cancer deaths in men and women, then if the statement, if chemists also count atoms when naming a sigmatropic shift where a hydrogen atom moves , then calcium chloride can be corrosive to certain soft metals if left on for a period of time, does not hold, then the statement that states gravitation is one of the most studied phenomena in physics is false.']
|
The statement 'calcium chloride can be corrosive to certain soft metals if left on for a period of time' can be considered false. One may reasonably assume that if we know that the claim that waste is ore is false, then stakeholders are all the groups of people who are affected by a product's success or failure. Whenever it is true that stakeholders are all the groups of people who are affected by a product's success or failure, 'chemists also count atoms when naming a sigmatropic shift where a hydrogen atom moves ' is true. Given that the statement, if chemists also count atoms when naming a sigmatropic shift where a hydrogen atom moves , then calcium chloride can be corrosive to certain soft metals if left on for a period of time, does not hold, it can be inferred that gravitation is one of the most studied phenomena in physics. Either most senior swimmers develop fitnesses or lung cancer is the leading cause of cancer deaths in men and women. Once we know most senior swimmers develop fitnesses, we also know that if the statement, if chemists also count atoms when naming a sigmatropic shift where a hydrogen atom moves , then calcium chloride can be corrosive to certain soft metals if left on for a period of time, does not hold, then the statement that states gravitation is one of the most studied phenomena in physics is false. One may reasonably assume that if lung cancer is the leading cause of cancer deaths in men and women, then if the statement, if chemists also count atoms when naming a sigmatropic shift where a hydrogen atom moves , then calcium chloride can be corrosive to certain soft metals if left on for a period of time, does not hold, then the statement that states gravitation is one of the most studied phenomena in physics is false.
|
The claim that waste is ore is true.
|
Waste enters colons.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not [0].), then [4].
If [4], then [2].
Therefore, If (Not [0].), then [2]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then [3].
If (Not (If [2], then [1].).), then (Not [3].). [SC2-3]
Therefore, If [2], then [1]..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [2], then [1].).), then (Not [3].).).
If [6], then (If (Not (If [2], then [1].).), then (Not [3].).).
Therefore, If (Not (If [2], then [1].).), then (Not [3].)..
|
{0: 'Waste is ore.', 1: 'Calcium chloride can be corrosive to certain soft metals if left on for a period of time.', 2: 'Chemists also count atoms when naming a sigmatropic shift where a hydrogen atom moves .', 3: 'Gravitation is one of the most studied phenomena in physics.', 4: "Stakeholders are all the groups of people who are affected by a product's success or failure.", 5: 'Most senior swimmers develop fitnesses.', 6: 'Lung cancer is the leading cause of cancer deaths in men and women.'}
| 5 |
4,592 |
['Given that runes are invisible most of the time, it can be inferred that if the claim that research programmes cover topics does not correspond with reality, then some hamsters eat grain.', 'It is the case that runes are invisible most of the time.', 'Assuming if broadcasting is a heavily practical and professional course in how to make television programmes, then some fish return to oceans, we know that if the claim that research programmes cover topics does not correspond with reality, then the claim that some hamsters eat grain has no merit.', 'It is rational to agree that adolescents live in the best of times and in the worst of times.', "If the statement that 'if adolescents live in the best of times and in the worst of times, then if broadcasting is a heavily practical and professional course in how to make television programmes, then some fish return to oceans' is incorrect, then energy engineering is the conversion, distribution, and utilization of energy.", 'The claim that energy engineering is the conversion, distribution, and utilization of energy does not correspond with reality.']
|
Given that runes are invisible most of the time, it can be inferred that if the claim that research programmes cover topics does not correspond with reality, then some hamsters eat grain. It is the case that runes are invisible most of the time. Assuming if broadcasting is a heavily practical and professional course in how to make television programmes, then some fish return to oceans, we know that if the claim that research programmes cover topics does not correspond with reality, then the claim that some hamsters eat grain has no merit. It is rational to agree that adolescents live in the best of times and in the worst of times. If the statement that 'if adolescents live in the best of times and in the worst of times, then if broadcasting is a heavily practical and professional course in how to make television programmes, then some fish return to oceans' is incorrect, then energy engineering is the conversion, distribution, and utilization of energy. The claim that energy engineering is the conversion, distribution, and utilization of energy does not correspond with reality.
|
research programmes cover topics.
|
Research programmes cover topics.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If (Not [0].), then [1].).
[2]
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Ponens:
If (If [3], then [4].), then (If (Not [0].), then (Not [1].).).
If [3], then [4]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Modus Ponens:
If [5], then (If [3], then [4].). [SC1-3]
[5]
Therefore, If [3], then [4]..
[SC1-3]
Modus Tonens:
If (Not (If [5], then (If [3], then [4].).).), then [6].
Not [6].
Therefore, If [5], then (If [3], then [4].)..
|
{0: 'Research programmes cover topics.', 1: 'Some hamsters eat grain.', 2: 'Runes are invisible most of the time.', 3: 'Broadcasting is a heavily practical and professional course in how to make television programmes.', 4: 'Some fish return to oceans.', 5: 'Adolescents live in the best of times and in the worst of times.', 6: 'Energy engineering is the conversion, distribution, and utilization of energy.'}
| 5 |
4,964 |
["So long as some water passes through sand, 'water is something many people take for granted' is true.", 'Those that suggest coral polyps have hard, cuplike external skeletons that form the body of the coral reef are right.', "So long as the statement that states if type specimens are models, then some water passes through sand is false, 'slavery is a denial of basic human rights' is true.", "So long as the statement that states if type specimens are models, then some water passes through sand is false, 'the statement that states slavery is a denial of basic human rights is false' is true.", 'One may reasonably assume that if the statement that states if coral polyps have hard, cuplike external skeletons that form the body of the coral reef, then type specimens are models is false, then chronic sinusitis can be a very difficult condition to treat.', "Whenever it is true that the statement that states if coral polyps have hard, cuplike external skeletons that form the body of the coral reef, then type specimens are models is false, 'it is a common misconception that chronic sinusitis can be a very difficult condition to treat' is true."]
|
So long as some water passes through sand, 'water is something many people take for granted' is true. Those that suggest coral polyps have hard, cuplike external skeletons that form the body of the coral reef are right. So long as the statement that states if type specimens are models, then some water passes through sand is false, 'slavery is a denial of basic human rights' is true. So long as the statement that states if type specimens are models, then some water passes through sand is false, 'the statement that states slavery is a denial of basic human rights is false' is true. One may reasonably assume that if the statement that states if coral polyps have hard, cuplike external skeletons that form the body of the coral reef, then type specimens are models is false, then chronic sinusitis can be a very difficult condition to treat. Whenever it is true that the statement that states if coral polyps have hard, cuplike external skeletons that form the body of the coral reef, then type specimens are models is false, 'it is a common misconception that chronic sinusitis can be a very difficult condition to treat' is true.
|
It is a simple truth that water is something many people take for granted.
|
It is a simple truth that water is something many people take for granted.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2]. [SC1-2]
If [2], then [0].
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [2].).), then [5].
If (Not (If [1], then [2].).), then (Not [5].).
Therefore, If [1], then [2]..
[SC2-1]
Modus Ponens:
If [3], then [1]. [SC1-2]
[3]
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [3], then [1].).), then [4].
If (Not (If [3], then [1].).), then (Not [4].).
Therefore, If [3], then [1]..
|
{0: 'Water is something many people take for granted.', 1: 'Type specimens are models.', 2: 'Some water passes through sand.', 3: 'Coral polyps have hard, cuplike external skeletons that form the body of the coral reef.', 4: 'Chronic sinusitis can be a very difficult condition to treat.', 5: 'Slavery is a denial of basic human rights.'}
| 5 |
4,266 |
['We know that either children define themselves in terms of their appearance, possessions, and activities or epoxy is glue.', 'If epoxy is glue, then either drought results in loss reductions or some photons are part of moonbeams.', 'There is good reason to believe that either cryosurgery involves much less removal of the normal liver than traditional surgery or if drought results in loss reductions, then those that suggest a computer graphic is a picture are wrong.', "The statement 'cryosurgery involves much less removal of the normal liver than traditional surgery' can be considered false.", "Whenever it is true that the notion that 'if some photons are part of moonbeams, then those that suggest a computer graphic is a picture are wrong' is untrue, 'businessmen can change the way people live' is true.", "Should it be the case that the notion that 'if some photons are part of moonbeams, then those that suggest a computer graphic is a picture are wrong' is untrue, it follows that the statement that states businessmen can change the way people live is false.", 'We know that either some people raise ducks or either most moths have green coloration or physical deterioration occurs from use and exposure to atmosphere.', "So long as some people raise ducks, 'if children define themselves in terms of their appearance, possessions, and activities, then either drought results in loss reductions or some photons are part of moonbeams' is true.", 'On the condition that either most moths have green coloration or physical deterioration occurs from use and exposure to atmosphere, it is definitely the case that if children define themselves in terms of their appearance, possessions, and activities, then either drought results in loss reductions or some photons are part of moonbeams.']
|
We know that either children define themselves in terms of their appearance, possessions, and activities or epoxy is glue. If epoxy is glue, then either drought results in loss reductions or some photons are part of moonbeams. There is good reason to believe that either cryosurgery involves much less removal of the normal liver than traditional surgery or if drought results in loss reductions, then those that suggest a computer graphic is a picture are wrong. The statement 'cryosurgery involves much less removal of the normal liver than traditional surgery' can be considered false. Whenever it is true that the notion that 'if some photons are part of moonbeams, then those that suggest a computer graphic is a picture are wrong' is untrue, 'businessmen can change the way people live' is true. Should it be the case that the notion that 'if some photons are part of moonbeams, then those that suggest a computer graphic is a picture are wrong' is untrue, it follows that the statement that states businessmen can change the way people live is false. We know that either some people raise ducks or either most moths have green coloration or physical deterioration occurs from use and exposure to atmosphere. So long as some people raise ducks, 'if children define themselves in terms of their appearance, possessions, and activities, then either drought results in loss reductions or some photons are part of moonbeams' is true. On the condition that either most moths have green coloration or physical deterioration occurs from use and exposure to atmosphere, it is definitely the case that if children define themselves in terms of their appearance, possessions, and activities, then either drought results in loss reductions or some photons are part of moonbeams.
|
Those that suggest a computer graphic is a picture are wrong.
|
The statement that states computer graphics are any types of images created using any kind of computer is false.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Either [1] or [2].). [SC2-2]
If [5], then (Either [1] or [2].).
Therefore, Either [1] or [2]..
[SC2-2]
Disjunction Elimination:
Either [7] or (Either [8] or [9].).
If [7], then (If [4], then (Either [1] or [2].).).
If (Either [8] or [9].), then (If [4], then (Either [1] or [2].).).
Therefore, If [4], then (Either [1] or [2].)..
[SC2-1]
Disjunctive Syllogism:
Either [6] or (If [1], then (Not [0].).).
Not [6].
Therefore, If [1], then (Not [0].)..
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [0].).).), then [3].
If (Not (If [2], then (Not [0].).).), then (Not [3].).
Therefore, If [2], then (Not [0].)..
|
{0: 'A computer graphic is a picture.', 1: 'Drought results in loss reductions.', 2: 'Some photons are part of moonbeams.', 3: 'Businessmen can change the way people live.', 4: 'Children define themselves in terms of their appearance, possessions, and activities.', 5: 'Epoxy is glue.', 6: 'Cryosurgery involves much less removal of the normal liver than traditional surgery.', 7: 'Some people raise ducks.', 8: 'Most moths have green coloration.', 9: 'Physical deterioration occurs from use and exposure to atmosphere.'}
| 5 |
4,406 |
['Given that diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet, it can be inferred that some wrens have habits.', "So long as the statement, either carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light or diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet, does not hold, 'wedding cakes are food' is true.", 'Either one or both of these statements are true: magnetic equipment is used in every major hospital around the world, or if carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light, then some wrens have habits.', 'It is not true that magnetic equipment is used in every major hospital around the world.', 'Either one or both of these statements are true: acne is inflammatory diseases, or moons are smaller bodies that revolve around planets.', 'Assuming moons are smaller bodies that revolve around planets, we know that if the statement, either carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light or diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet, does not hold, then it is not true that wedding cakes are food.', 'It is a fact that either if some people consider the Internet as the free flow of information, then grammatical sense is continuous, implying neither beginning nor end or nickel ores grade evolution in some leading nickel producing countries.', "So long as if some people consider the Internet as the free flow of information, then grammatical sense is continuous, implying neither beginning nor end, 'if acne is inflammatory diseases, then if the statement, either carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light or diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet, does not hold, then it is not true that wedding cakes are food' is true.", "Whenever it is true that nickel ores grade evolution in some leading nickel producing countries, 'if acne is inflammatory diseases, then if the statement, either carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light or diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet, does not hold, then it is not true that wedding cakes are food' is true."]
|
Given that diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet, it can be inferred that some wrens have habits. So long as the statement, either carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light or diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet, does not hold, 'wedding cakes are food' is true. Either one or both of these statements are true: magnetic equipment is used in every major hospital around the world, or if carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light, then some wrens have habits. It is not true that magnetic equipment is used in every major hospital around the world. Either one or both of these statements are true: acne is inflammatory diseases, or moons are smaller bodies that revolve around planets. Assuming moons are smaller bodies that revolve around planets, we know that if the statement, either carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light or diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet, does not hold, then it is not true that wedding cakes are food. It is a fact that either if some people consider the Internet as the free flow of information, then grammatical sense is continuous, implying neither beginning nor end or nickel ores grade evolution in some leading nickel producing countries. So long as if some people consider the Internet as the free flow of information, then grammatical sense is continuous, implying neither beginning nor end, 'if acne is inflammatory diseases, then if the statement, either carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light or diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet, does not hold, then it is not true that wedding cakes are food' is true. Whenever it is true that nickel ores grade evolution in some leading nickel producing countries, 'if acne is inflammatory diseases, then if the statement, either carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light or diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet, does not hold, then it is not true that wedding cakes are food' is true.
|
The statement that states some wrens have habits is right.
|
The statement that states some wrens have habits is right.
|
TRUE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [4].
If (Not (Either [1] or [2].).), then (Not [4].). [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (Either [1] or [2].).), then (Not [4].).). [SC2-3]
If [6], then (If (Not (Either [1] or [2].).), then (Not [4].).).
Therefore, If (Not (Either [1] or [2].).), then (Not [4].)..
[SC2-3]
Disjunction Elimination:
Either (If [7], then [8].) or [9].
If (If [7], then [8].), then (If [5], then (If (Not (Either [1] or [2].).), then (Not [4].).).).
If [9], then (If [5], then (If (Not (Either [1] or [2].).), then (Not [4].).).).
Therefore, If [5], then (If (Not (Either [1] or [2].).), then (Not [4].).)..
[SC2-1]
Disjunctive Syllogism:
Either [3] or (If [1], then [0].).
Not [3].
Therefore, If [1], then [0]..
|
{0: 'Some wrens have habits.', 1: 'Carnivorous plants require a moist, acidic growing medium, high relative humidity, and bright light.', 2: 'Diabetes can lead to a restricted blood supply to the feet and legs, resulting in cold painful feet.', 3: 'Magnetic equipment is used in every major hospital around the world.', 4: 'Wedding cakes are food.', 5: 'Acne is inflammatory diseases.', 6: 'Moons are smaller bodies that revolve around planets.', 7: 'Some people consider the Internet as the free flow of information.', 8: 'Grammatical sense is continuous, implying neither beginning nor end.', 9: 'Nickel ores grade evolution in some leading nickel producing countries.'}
| 5 |
4,294 |
['One may reasonably assume that if it is not the case that sublateral bundles are visible as chains of discrete bright spots, then researchers realize necessity.', 'Once we know domestic cats have color vision, we also know that either many solids are crystalline, repeating arrays of atoms or many people consider childhood and youth the happiest periods of life.', 'The claim that domestic cats have color vision holds true.', 'Assuming an admonition is advice, we know that if many solids are crystalline, repeating arrays of atoms, then some people mistakenly believe that researchers realize necessity.', 'Many people rightly believe that an admonition is advice.', 'There is good reason to believe that either either lamps produce output or gazanias are plants or if many people consider childhood and youth the happiest periods of life, then some people mistakenly believe that researchers realize necessity.', 'It is not true that either lamps produce output or gazanias are plants.']
|
One may reasonably assume that if it is not the case that sublateral bundles are visible as chains of discrete bright spots, then researchers realize necessity. Once we know domestic cats have color vision, we also know that either many solids are crystalline, repeating arrays of atoms or many people consider childhood and youth the happiest periods of life. The claim that domestic cats have color vision holds true. Assuming an admonition is advice, we know that if many solids are crystalline, repeating arrays of atoms, then some people mistakenly believe that researchers realize necessity. Many people rightly believe that an admonition is advice. There is good reason to believe that either either lamps produce output or gazanias are plants or if many people consider childhood and youth the happiest periods of life, then some people mistakenly believe that researchers realize necessity. It is not true that either lamps produce output or gazanias are plants.
|
It is the case that sublateral bundles are visible as chains of discrete bright spots.
|
It is the case that sublateral bundles are visible as chains of discrete bright spots.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC1-2]
Modus Ponens:
If [4], then (Either [2] or [3].).
[4]
Therefore, Either [2] or [3]..
[SC2-2]
Modus Ponens:
If [5], then (If [2], then (Not [1].).).
[5]
Therefore, If [2], then (Not [1].)..
[SC3-2]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (If [3], then (Not [1].).).
Not (Either [6] or [7].).
Therefore, If [3], then (Not [1].)..
|
{0: 'Sublateral bundles are visible as chains of discrete bright spots.', 1: 'Researchers realize necessity.', 2: 'Many solids are crystalline, repeating arrays of atoms.', 3: 'Many people consider childhood and youth the happiest periods of life.', 4: 'Domestic cats have color vision.', 5: 'An admonition is advice.', 6: 'Lamps produce output.', 7: 'Gazanias are plants.'}
| 5 |
4,604 |
['We know that the claim that fusion cuisine is an evolving, ever changing style of cooking is false.', 'It is a fact that either physical freedom includes time freedom - a freedom from budget imposed deadlines or if the claim that either fusion cuisine is an evolving, ever changing style of cooking or if most monkeys avoid wetlands, but are good swimmers, then malnutrition is a serious problem is false, then if some prescription medications contain banned substances, then heat engines produce electricity.', 'On the condition that it is not the case that if the claim that either fusion cuisine is an evolving, ever changing style of cooking or if most monkeys avoid wetlands, but are good swimmers, then malnutrition is a serious problem is false, then it is not true that if some prescription medications contain banned substances, then heat engines produce electricity, it is definitely the case that extinction occurs during time.', 'The claim that extinction occurs during time has no merit.', 'It is rational to believe that either banana plants offer many benefits or if alkalosis is hard to reverse once it occurs, then most currency is in the form of federal reserve notes.', 'Assuming banana plants offer many benefits, we know that some people mistakenly believe that physical freedom includes time freedom - a freedom from budget imposed deadlines.', "So long as if alkalosis is hard to reverse once it occurs, then most currency is in the form of federal reserve notes, 'some people mistakenly believe that physical freedom includes time freedom - a freedom from budget imposed deadlines' is true."]
|
We know that the claim that fusion cuisine is an evolving, ever changing style of cooking is false. It is a fact that either physical freedom includes time freedom - a freedom from budget imposed deadlines or if the claim that either fusion cuisine is an evolving, ever changing style of cooking or if most monkeys avoid wetlands, but are good swimmers, then malnutrition is a serious problem is false, then if some prescription medications contain banned substances, then heat engines produce electricity. On the condition that it is not the case that if the claim that either fusion cuisine is an evolving, ever changing style of cooking or if most monkeys avoid wetlands, but are good swimmers, then malnutrition is a serious problem is false, then it is not true that if some prescription medications contain banned substances, then heat engines produce electricity, it is definitely the case that extinction occurs during time. The claim that extinction occurs during time has no merit. It is rational to believe that either banana plants offer many benefits or if alkalosis is hard to reverse once it occurs, then most currency is in the form of federal reserve notes. Assuming banana plants offer many benefits, we know that some people mistakenly believe that physical freedom includes time freedom - a freedom from budget imposed deadlines. So long as if alkalosis is hard to reverse once it occurs, then most currency is in the form of federal reserve notes, 'some people mistakenly believe that physical freedom includes time freedom - a freedom from budget imposed deadlines' is true.
|
Given that most monkeys avoid wetlands, but are good swimmers, it can be inferred that malnutrition is a serious problem.
|
Given that most monkeys avoid wetlands, but are good swimmers, it can be inferred that malnutrition is a serious problem.
|
TRUE
|
Disjunctive Syllogism:
Either [2] or (If [0], then [1].). [SC1-1]
Not [2].
Therefore, If [0], then [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [2] or (If [0], then [1].).).), then (If [3], then [4].). [SC1-2]
If (Not (Either [2] or (If [0], then [1].).).), then (Not (If [3], then [4].).). [SC2-2]
Therefore, Either [2] or (If [0], then [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [5] or (If (Not (Either [2] or (If [0], then [1].).).), then (If [3], then [4].).).
Not [5]. [SC2-3]
Therefore, If (Not (Either [2] or (If [0], then [1].).).), then (If [3], then [4].)..
[SC2-3]
Disjunction Elimination:
Either [7] or (If [8], then [9].).
If [7], then (Not [5].).
If (If [8], then [9].), then (Not [5].).
Therefore, Not [5]..
[SC2-2]
Modus Tonens:
If (Not (If (Not (Either [2] or (If [0], then [1].).).), then (Not (If [3], then [4].).).).), then [6].
Not [6].
Therefore, If (Not (Either [2] or (If [0], then [1].).).), then (Not (If [3], then [4].).)..
|
{0: 'Most monkeys avoid wetlands, but are good swimmers.', 1: 'Malnutrition is a serious problem.', 2: 'Fusion cuisine is an evolving, ever changing style of cooking.', 3: 'Some prescription medications contain banned substances.', 4: 'Heat engines produce electricity.', 5: 'Physical freedom includes time freedom - a freedom from budget imposed deadlines.', 6: 'Extinction occurs during time.', 7: 'Banana plants offer many benefits.', 8: 'Alkalosis is hard to reverse once it occurs.', 9: 'Most currency is in the form of federal reserve notes.'}
| 5 |
4,522 |
['It is rational to agree that siskins like to live in wooded areas and usually nest in evergreens.', "Whenever it is true that the statement that states if siskins like to live in wooded areas and usually nest in evergreens, then either road traffic is a major contributor to air pollution or a bodice is a top is false, 'the claim that personality traits are liable to lead to other preventable accidents is false' is true.", 'Assuming either road traffic is a major contributor to air pollution or a bodice is a top, we know that some extreme fluctuations create habitats.', 'If some extreme fluctuations create habitats, then machines are used for writes.', 'Either death occurs because of dehydration or plants live and dried, including plant cuttings.', 'Assuming death occurs because of dehydration, we know that if the statement that states if siskins like to live in wooded areas and usually nest in evergreens, then either road traffic is a major contributor to air pollution or a bodice is a top is false, then personality traits are liable to lead to other preventable accidents.', 'Assuming plants live and dried, including plant cuttings, we know that if the statement that states if siskins like to live in wooded areas and usually nest in evergreens, then either road traffic is a major contributor to air pollution or a bodice is a top is false, then personality traits are liable to lead to other preventable accidents.']
|
It is rational to agree that siskins like to live in wooded areas and usually nest in evergreens. Whenever it is true that the statement that states if siskins like to live in wooded areas and usually nest in evergreens, then either road traffic is a major contributor to air pollution or a bodice is a top is false, 'the claim that personality traits are liable to lead to other preventable accidents is false' is true. Assuming either road traffic is a major contributor to air pollution or a bodice is a top, we know that some extreme fluctuations create habitats. If some extreme fluctuations create habitats, then machines are used for writes. Either death occurs because of dehydration or plants live and dried, including plant cuttings. Assuming death occurs because of dehydration, we know that if the statement that states if siskins like to live in wooded areas and usually nest in evergreens, then either road traffic is a major contributor to air pollution or a bodice is a top is false, then personality traits are liable to lead to other preventable accidents. Assuming plants live and dried, including plant cuttings, we know that if the statement that states if siskins like to live in wooded areas and usually nest in evergreens, then either road traffic is a major contributor to air pollution or a bodice is a top is false, then personality traits are liable to lead to other preventable accidents.
|
The idea that machines are used for writes is true.
|
The claim that machines are used for writes is false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then (Either [2] or [3].). [SC1-2]
If (Either [2] or [3].), then [0]. [SC2-2]
Therefore, If [1], then [0]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then (Either [2] or [3].).).), then [5]. [SC1-3]
If (Not (If [1], then (Either [2] or [3].).).), then (Not [5].).
Therefore, If [1], then (Either [2] or [3].)..
[SC1-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [1], then (Either [2] or [3].).).), then [5].).
If [7], then (If (Not (If [1], then (Either [2] or [3].).).), then [5].).
Therefore, If (Not (If [1], then (Either [2] or [3].).).), then [5]..
[SC2-2]
Hypothetical Syllogism:
If (Either [2] or [3].), then [4].
If [4], then [0].
Therefore, If (Either [2] or [3].), then [0]..
|
{0: 'Machines are used for writes.', 1: 'Siskins like to live in wooded areas and usually nest in evergreens.', 2: 'Road traffic is a major contributor to air pollution.', 3: 'A bodice is a top.', 4: 'Some extreme fluctuations create habitats.', 5: 'Personality traits are liable to lead to other preventable accidents.', 6: 'Death occurs because of dehydration.', 7: 'Plants live and dried, including plant cuttings.'}
| 5 |
4,018 |
['When small animals get sufficient water is true, it follows that if color only applies to visible light, then dishonesty takes many forms.', 'The claim that small animals get sufficient water is true.', 'The statement, rules govern distribution, does not hold.', "Whenever it is true that maine winters are cold and dreary, 'rules govern distribution' is true.", "Whenever it is true that the claim that if those that suggest color only applies to visible light are wrong, then maine winters are cold and dreary has no merit, 'if pouchs are used for covers, then personal business is concern' is true.", 'Assuming the claim that if those that suggest color only applies to visible light are wrong, then maine winters are cold and dreary has no merit, we know that the claim that if pouchs are used for covers, then personal business is concern is false.']
|
When small animals get sufficient water is true, it follows that if color only applies to visible light, then dishonesty takes many forms. The claim that small animals get sufficient water is true. The statement, rules govern distribution, does not hold. Whenever it is true that maine winters are cold and dreary, 'rules govern distribution' is true. Whenever it is true that the claim that if those that suggest color only applies to visible light are wrong, then maine winters are cold and dreary has no merit, 'if pouchs are used for covers, then personal business is concern' is true. Assuming the claim that if those that suggest color only applies to visible light are wrong, then maine winters are cold and dreary has no merit, we know that the claim that if pouchs are used for covers, then personal business is concern is false.
|
The statement 'dishonesty takes many forms' is true.
|
Dishonesty is an activity.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [2], then (If [1], then [0].).
[2]
Therefore, If [1], then [0]..
[SC2-1]
Modus Tonens:
If (Not [1].), then [3]. [SC1-2]
Not [3].
Therefore, [1].
[SC1-2]
Hypothetical Syllogism:
If (Not [1].), then [4]. [SC1-3]
If [4], then [3].
Therefore, If (Not [1].), then [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not [1].), then [4].).), then (If [5], then [6].).
If (Not (If (Not [1].), then [4].).), then (Not (If [5], then [6].).).
Therefore, If (Not [1].), then [4]..
|
{0: 'Dishonesty takes many forms.', 1: 'Color only applies to visible light.', 2: 'Small animals get sufficient water.', 3: 'Rules govern distribution.', 4: 'Maine winters are cold and dreary.', 5: 'Pouchs are used for covers.', 6: 'Personal business is concern.'}
| 5 |
4,425 |
['It is not true that if gowns have (part) sections, then radiographs reveal a prominent osteophyte on the metatarsal head.', 'We know that the claim that random variables are variables is false.', "Either one or both of these statements are true: most elective surgery connotes a state of improved physical well being, or either if gowns have (part) sections, then radiographs reveal a prominent osteophyte on the metatarsal head or if the notion that 'deer chew leaves' is untrue, then slugs love to eat marigolds.", "The statement that 'most elective surgery connotes a state of improved physical well being' is incorrect.", 'At least one of two things is true: tigers feed on whatever large prey they can catch, or cans are capsules.', 'Provided that tigers feed on whatever large prey they can catch, we know that either random variables are variables or it is not true that slugs love to eat marigolds.', "So long as cans are capsules, 'either random variables are variables or it is not true that slugs love to eat marigolds' is true."]
|
It is not true that if gowns have (part) sections, then radiographs reveal a prominent osteophyte on the metatarsal head. We know that the claim that random variables are variables is false. Either one or both of these statements are true: most elective surgery connotes a state of improved physical well being, or either if gowns have (part) sections, then radiographs reveal a prominent osteophyte on the metatarsal head or if the notion that 'deer chew leaves' is untrue, then slugs love to eat marigolds. The statement that 'most elective surgery connotes a state of improved physical well being' is incorrect. At least one of two things is true: tigers feed on whatever large prey they can catch, or cans are capsules. Provided that tigers feed on whatever large prey they can catch, we know that either random variables are variables or it is not true that slugs love to eat marigolds. So long as cans are capsules, 'either random variables are variables or it is not true that slugs love to eat marigolds' is true.
|
The claim that deer chew leaves holds true.
|
Those that suggest deer chew leaves are wrong.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If (Not [0].), then [1].). [SC1-2]
Not (If [2], then [3].).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either [7] or (Either (If [2], then [3].) or (If (Not [0].), then [1].).).
Not [7].
Therefore, Either (If [2], then [3].) or (If (Not [0].), then [1].)..
[SC2-1]
Disjunctive Syllogism:
Either [4] or (Not [1].). [SC1-2]
Not [4].
Therefore, Not [1]..
[SC1-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Either [4] or (Not [1].).).
If [6], then (Either [4] or (Not [1].).).
Therefore, Either [4] or (Not [1].)..
|
{0: 'Deer chew leaves.', 1: 'Slugs love to eat marigolds.', 2: 'Gowns have (part) sections.', 3: 'Radiographs reveal a prominent osteophyte on the metatarsal head.', 4: 'Random variables are variables.', 5: 'Tigers feed on whatever large prey they can catch.', 6: 'Cans are capsules.', 7: 'Most elective surgery connotes a state of improved physical well being.'}
| 5 |
4,527 |
['The claim that most meadow voles live in meadows is true.', 'Given that eating also exhibits many characteristics of generalized control mechanisms, it can be inferred that if most meadow voles live in meadows, then stops are acts.', "Whenever it is true that iron deficiency leads to anaemia, 'if most meadow voles live in meadows, then stops are acts' is true.", 'We know that either if wild mustard is a serious weed of cultivated land, then bacterial adhesion is an essential step in biofilm formation and subsequent infection or either visual sensation is in our heads or puzzles help a child develop hand-eye coordination and manipulative thinking.', 'One may reasonably assume that if interconnected spaces make the soil or bedrock permeable , then if if wild mustard is a serious weed of cultivated land, then bacterial adhesion is an essential step in biofilm formation and subsequent infection, then either eating also exhibits many characteristics of generalized control mechanisms or iron deficiency leads to anaemia.', 'The idea that interconnected spaces make the soil or bedrock permeable is true.', 'Either some chromatin is part of choanocytes or water utilities get their water from rivers, lakes, reservoirs, or underground aquifers.', 'Given that some chromatin is part of choanocytes, it can be inferred that if either visual sensation is in our heads or puzzles help a child develop hand-eye coordination and manipulative thinking, then either eating also exhibits many characteristics of generalized control mechanisms or iron deficiency leads to anaemia.', 'Given that water utilities get their water from rivers, lakes, reservoirs, or underground aquifers, it can be inferred that if either visual sensation is in our heads or puzzles help a child develop hand-eye coordination and manipulative thinking, then either eating also exhibits many characteristics of generalized control mechanisms or iron deficiency leads to anaemia.']
|
The claim that most meadow voles live in meadows is true. Given that eating also exhibits many characteristics of generalized control mechanisms, it can be inferred that if most meadow voles live in meadows, then stops are acts. Whenever it is true that iron deficiency leads to anaemia, 'if most meadow voles live in meadows, then stops are acts' is true. We know that either if wild mustard is a serious weed of cultivated land, then bacterial adhesion is an essential step in biofilm formation and subsequent infection or either visual sensation is in our heads or puzzles help a child develop hand-eye coordination and manipulative thinking. One may reasonably assume that if interconnected spaces make the soil or bedrock permeable , then if if wild mustard is a serious weed of cultivated land, then bacterial adhesion is an essential step in biofilm formation and subsequent infection, then either eating also exhibits many characteristics of generalized control mechanisms or iron deficiency leads to anaemia. The idea that interconnected spaces make the soil or bedrock permeable is true. Either some chromatin is part of choanocytes or water utilities get their water from rivers, lakes, reservoirs, or underground aquifers. Given that some chromatin is part of choanocytes, it can be inferred that if either visual sensation is in our heads or puzzles help a child develop hand-eye coordination and manipulative thinking, then either eating also exhibits many characteristics of generalized control mechanisms or iron deficiency leads to anaemia. Given that water utilities get their water from rivers, lakes, reservoirs, or underground aquifers, it can be inferred that if either visual sensation is in our heads or puzzles help a child develop hand-eye coordination and manipulative thinking, then either eating also exhibits many characteristics of generalized control mechanisms or iron deficiency leads to anaemia.
|
It is a simple truth that stops are acts.
|
It is a simple truth that stops are acts.
|
TRUE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (If [1], then [0].).
If [3], then (If [1], then [0].).
Therefore, If [1], then [0]..
[SC1-2]
Disjunction Elimination:
Either (If [4], then [5].) or (Either [6] or [7].).
If (If [4], then [5].), then (Either [2] or [3].). [SC2-3]
If (Either [6] or [7].), then (Either [2] or [3].). [SC3-3]
Therefore, Either [2] or [3]..
[SC2-3]
Modus Ponens:
If [10], then (If (If [4], then [5].), then (Either [2] or [3].).).
[10]
Therefore, If (If [4], then [5].), then (Either [2] or [3].)..
[SC3-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Either [6] or [7].), then (Either [2] or [3].).).
If [9], then (If (Either [6] or [7].), then (Either [2] or [3].).).
Therefore, If (Either [6] or [7].), then (Either [2] or [3].)..
|
{0: 'Stops are acts.', 1: 'Most meadow voles live in meadows.', 2: 'Eating also exhibits many characteristics of generalized control mechanisms.', 3: 'Iron deficiency leads to anaemia.', 4: 'Wild mustard is a serious weed of cultivated land.', 5: 'Bacterial adhesion is an essential step in biofilm formation and subsequent infection.', 6: 'Visual sensation is in our heads.', 7: 'Puzzles help a child develop hand-eye coordination and manipulative thinking.', 8: 'Some chromatin is part of choanocytes.', 9: 'Water utilities get their water from rivers, lakes, reservoirs, or underground aquifers.', 10: 'Interconnected spaces make the soil or bedrock permeable .'}
| 5 |
4,308 |
['Given that theories predict concentration, it can be inferred that either if peace is related to joy, then private rooms are patient rooms or negative emotions are varied, and there are a variety of ways to discuss the nuances of misery.', 'Provided that if rope burns can happen quickly and cut to the bone or worse, then widows have (part) personality, we know that either if peace is related to joy, then private rooms are patient rooms or negative emotions are varied, and there are a variety of ways to discuss the nuances of misery.', 'We know that either if some people travel on their vacation, to visit other towns, cities, or countries, then every language has a basic word order for the words in a sentence or the claim that if peace is related to joy, then private rooms are patient rooms is false.', 'It is not the case that if some people travel on their vacation, to visit other towns, cities, or countries, then every language has a basic word order for the words in a sentence.', 'The statement, baseball fields have diamonds, does not hold.', "Whenever it is true that the claim that either theories predict concentration or if rope burns can happen quickly and cut to the bone or worse, then widows have (part) personality does not reflect reality, 'cortical bone is dense and compact' is true.", 'When cortical bone is dense and compact is true, it follows that baseball fields have diamonds.']
|
Given that theories predict concentration, it can be inferred that either if peace is related to joy, then private rooms are patient rooms or negative emotions are varied, and there are a variety of ways to discuss the nuances of misery. Provided that if rope burns can happen quickly and cut to the bone or worse, then widows have (part) personality, we know that either if peace is related to joy, then private rooms are patient rooms or negative emotions are varied, and there are a variety of ways to discuss the nuances of misery. We know that either if some people travel on their vacation, to visit other towns, cities, or countries, then every language has a basic word order for the words in a sentence or the claim that if peace is related to joy, then private rooms are patient rooms is false. It is not the case that if some people travel on their vacation, to visit other towns, cities, or countries, then every language has a basic word order for the words in a sentence. The statement, baseball fields have diamonds, does not hold. Whenever it is true that the claim that either theories predict concentration or if rope burns can happen quickly and cut to the bone or worse, then widows have (part) personality does not reflect reality, 'cortical bone is dense and compact' is true. When cortical bone is dense and compact is true, it follows that baseball fields have diamonds.
|
The claim that negative emotions are varied, and there are a variety of ways to discuss the nuances of misery is true.
|
The claim that negative emotions are varied, and there are a variety of ways to discuss the nuances of misery is true.
|
TRUE
|
Disjunctive Syllogism:
Either (If [1], then [2].) or [0]. [SC1-1]
Not (If [1], then [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [5] or (If [6], then [7].). [SC1-2]
If [5], then (Either (If [1], then [2].) or [0].).
If (If [6], then [7].), then (Either (If [1], then [2].) or [0].).
Therefore, Either (If [1], then [2].) or [0]..
[SC1-2]
Modus Tonens:
If (Not (Either [5] or (If [6], then [7].).).), then [8]. [SC1-3]
Not [8].
Therefore, Either [5] or (If [6], then [7].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (Either [5] or (If [6], then [7].).).), then [9].
If [9], then [8].
Therefore, If (Not (Either [5] or (If [6], then [7].).).), then [8]..
[SC2-1]
Disjunctive Syllogism:
Either (If [3], then [4].) or (Not (If [1], then [2].).).
Not (If [3], then [4].).
Therefore, Not (If [1], then [2].)..
|
{0: 'Negative emotions are varied, and there are a variety of ways to discuss the nuances of misery.', 1: 'Peace is related to joy.', 2: 'Private rooms are patient rooms.', 3: 'Some people travel on their vacation, to visit other towns, cities, or countries.', 4: 'Every language has a basic word order for the words in a sentence.', 5: 'Theories predict concentration.', 6: 'Rope burns can happen quickly and cut to the bone or worse.', 7: 'Widows have (part) personality.', 8: 'Baseball fields have diamonds.', 9: 'Cortical bone is dense and compact.'}
| 5 |
4,622 |
['Given that the claim that if butterflies have a very keen sense of taste, then television is free entertainment does not reflect reality, it can be inferred that it is not the case that many injuries are respiratory burns from inhaling the toxic chemicals used to make meth.', "Once we know the statement 'if television is free entertainment, then printers are a large and active group of businesses in the Northeast' can be considered false, we also know that the claim that either hugs affect everything form our physical health to our emotional well-being or geographic distance isolate populations and different environments select for different genes has no merit.", 'There is good reason to believe that either civil engineers build the quality of life or mental health counselors use tools.', 'One may reasonably assume that if civil engineers build the quality of life, then if the claim that if butterflies have a very keen sense of taste, then television is free entertainment does not reflect reality, then many injuries are respiratory burns from inhaling the toxic chemicals used to make meth.', 'On the condition that mental health counselors use tools, it is definitely the case that if the claim that if butterflies have a very keen sense of taste, then television is free entertainment does not reflect reality, then many injuries are respiratory burns from inhaling the toxic chemicals used to make meth.', "Whenever it is true that the statement that 'if the statement 'if television is free entertainment, then printers are a large and active group of businesses in the Northeast' can be considered false, then either hugs affect everything form our physical health to our emotional well-being or geographic distance isolate populations and different environments select for different genes' is incorrect, 'radio astronomers use radio telescopes to analyze the radio spectrum for data about their subjects' is true.", "The statement that 'radio astronomers use radio telescopes to analyze the radio spectrum for data about their subjects' is incorrect."]
|
Given that the claim that if butterflies have a very keen sense of taste, then television is free entertainment does not reflect reality, it can be inferred that it is not the case that many injuries are respiratory burns from inhaling the toxic chemicals used to make meth. Once we know the statement 'if television is free entertainment, then printers are a large and active group of businesses in the Northeast' can be considered false, we also know that the claim that either hugs affect everything form our physical health to our emotional well-being or geographic distance isolate populations and different environments select for different genes has no merit. There is good reason to believe that either civil engineers build the quality of life or mental health counselors use tools. One may reasonably assume that if civil engineers build the quality of life, then if the claim that if butterflies have a very keen sense of taste, then television is free entertainment does not reflect reality, then many injuries are respiratory burns from inhaling the toxic chemicals used to make meth. On the condition that mental health counselors use tools, it is definitely the case that if the claim that if butterflies have a very keen sense of taste, then television is free entertainment does not reflect reality, then many injuries are respiratory burns from inhaling the toxic chemicals used to make meth. Whenever it is true that the statement that 'if the statement 'if television is free entertainment, then printers are a large and active group of businesses in the Northeast' can be considered false, then either hugs affect everything form our physical health to our emotional well-being or geographic distance isolate populations and different environments select for different genes' is incorrect, 'radio astronomers use radio telescopes to analyze the radio spectrum for data about their subjects' is true. The statement that 'radio astronomers use radio telescopes to analyze the radio spectrum for data about their subjects' is incorrect.
|
Assuming butterflies have a very keen sense of taste, we know that printers are a large and active group of businesses in the Northeast.
|
Once we know some butterflies live in Colombia, we also know that printers are a large and active group of businesses in the Northeast.
|
Uncertain
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1]. [SC2-1]
Therefore, If [0], then [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [2].).), then [5]. [SC1-2]
If (Not (If [0], then [2].).), then (Not [5].).
Therefore, If [0], then [2]..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If [0], then [2].).), then [5].).
If [8], then (If (Not (If [0], then [2].).), then [5].).
Therefore, If (Not (If [0], then [2].).), then [5]..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [2], then [1].).), then (Either [3] or [4].). [SC1-2]
If (Not (If [2], then [1].).), then (Not (Either [3] or [4].).).
Therefore, If [2], then [1]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [2], then [1].).), then (Either [3] or [4].).).), then [6].
Not [6].
Therefore, If (Not (If [2], then [1].).), then (Either [3] or [4].)..
|
{0: 'Butterflies have a very keen sense of taste.', 1: 'Printers are a large and active group of businesses in the Northeast.', 2: 'Television is free entertainment.', 3: 'Hugs affect everything form our physical health to our emotional well-being.', 4: 'Geographic distance isolate populations and different environments select for different genes.', 5: 'Many injuries are respiratory burns from inhaling the toxic chemicals used to make meth.', 6: 'Radio astronomers use radio telescopes to analyze the radio spectrum for data about their subjects.', 7: 'Civil engineers build the quality of life.', 8: 'Mental health counselors use tools.'}
| 5 |
4,794 |
['Either one or both of these statements are true: wax paper is paper, or if cells take in specific substances from surrounding fluid using a receptor, then incubation starts when the first egg is laid.', 'One may reasonably assume that if if cells take in specific substances from surrounding fluid using a receptor, then incubation starts when the first egg is laid, then if it is not true that aggregates are intermediate between atoms and bulk samples, then some people complain of wheezing, changes in heart rate, and difficulty breathing.', 'If some people complain of wheezing, changes in heart rate, and difficulty breathing, then the claim that most venom causes wounds does not correspond with reality.', 'On the condition that the claim that if wax paper is paper, then if it is not true that aggregates are intermediate between atoms and bulk samples, then some people complain of wheezing, changes in heart rate, and difficulty breathing is false, it is definitely the case that estrogen relieves hot flashes, vaginal dryness, irregular bleeding, and helps prevent osteoporosis.', 'We know that the claim that estrogen relieves hot flashes, vaginal dryness, irregular bleeding, and helps prevent osteoporosis is false.', 'One may reasonably assume that if we know that the claim that if some people complain of wheezing, changes in heart rate, and difficulty breathing, then most venom causes wounds is false, then most natural vegetation surrounds wildlife habitats.', 'On the condition that we know that the claim that if some people complain of wheezing, changes in heart rate, and difficulty breathing, then most venom causes wounds is false, it is definitely the case that the statement, most natural vegetation surrounds wildlife habitats, does not hold.']
|
Either one or both of these statements are true: wax paper is paper, or if cells take in specific substances from surrounding fluid using a receptor, then incubation starts when the first egg is laid. One may reasonably assume that if if cells take in specific substances from surrounding fluid using a receptor, then incubation starts when the first egg is laid, then if it is not true that aggregates are intermediate between atoms and bulk samples, then some people complain of wheezing, changes in heart rate, and difficulty breathing. If some people complain of wheezing, changes in heart rate, and difficulty breathing, then the claim that most venom causes wounds does not correspond with reality. On the condition that the claim that if wax paper is paper, then if it is not true that aggregates are intermediate between atoms and bulk samples, then some people complain of wheezing, changes in heart rate, and difficulty breathing is false, it is definitely the case that estrogen relieves hot flashes, vaginal dryness, irregular bleeding, and helps prevent osteoporosis. We know that the claim that estrogen relieves hot flashes, vaginal dryness, irregular bleeding, and helps prevent osteoporosis is false. One may reasonably assume that if we know that the claim that if some people complain of wheezing, changes in heart rate, and difficulty breathing, then most venom causes wounds is false, then most natural vegetation surrounds wildlife habitats. On the condition that we know that the claim that if some people complain of wheezing, changes in heart rate, and difficulty breathing, then most venom causes wounds is false, it is definitely the case that the statement, most natural vegetation surrounds wildlife habitats, does not hold.
|
The statement 'aggregates are intermediate between atoms and bulk samples' can be considered true.
|
Aggregate is a mixture of clean sand and gravel.
|
Uncertain
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or (If [3], then [4].).
If [2], then (If (Not [0].), then [1].). [SC2-2]
If (If [3], then [4].), then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (If (Not [0].), then [1].).).), then [7].
Not [7].
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [5]. [SC1-2]
If [1], then (Not [5].).
Therefore, Not [1]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [1], then [5].).), then [6].
If (Not (If [1], then [5].).), then (Not [6].).
Therefore, If [1], then [5]..
|
{0: 'Aggregates are intermediate between atoms and bulk samples.', 1: 'Some people complain of wheezing, changes in heart rate, and difficulty breathing.', 2: 'Wax paper is paper.', 3: 'Cells take in specific substances from surrounding fluid using a receptor.', 4: 'Incubation starts when the first egg is laid.', 5: 'Most venom causes wounds.', 6: 'Most natural vegetation surrounds wildlife habitats.', 7: 'Estrogen relieves hot flashes, vaginal dryness, irregular bleeding, and helps prevent osteoporosis.'}
| 5 |
4,062 |
['The claim that snorkeling is a great way to view the underwater world and all the wonders that it holds does not correspond with reality.', "One may reasonably assume that if the statement that 'students have (part) cytoplasm' is incorrect, then alcohol consumption can increase the chance of heat stroke or dehydration on a hot day.", 'Assuming alcohol consumption can increase the chance of heat stroke or dehydration on a hot day, we know that turkeys have quite a sophisticated array of calls and vocal sounds.', 'The claim that some people have that kind of personality structure does not reflect reality.', 'At least one of two things is true: if boobies have (part) chests, then primary production is the rate of plant photosynthesis, or either some people have that kind of personality structure or if turkeys have quite a sophisticated array of calls and vocal sounds, then snorkeling is a great way to view the underwater world and all the wonders that it holds.', 'It is a common misconception that if boobies have (part) chests, then primary production is the rate of plant photosynthesis.']
|
The claim that snorkeling is a great way to view the underwater world and all the wonders that it holds does not correspond with reality. One may reasonably assume that if the statement that 'students have (part) cytoplasm' is incorrect, then alcohol consumption can increase the chance of heat stroke or dehydration on a hot day. Assuming alcohol consumption can increase the chance of heat stroke or dehydration on a hot day, we know that turkeys have quite a sophisticated array of calls and vocal sounds. The claim that some people have that kind of personality structure does not reflect reality. At least one of two things is true: if boobies have (part) chests, then primary production is the rate of plant photosynthesis, or either some people have that kind of personality structure or if turkeys have quite a sophisticated array of calls and vocal sounds, then snorkeling is a great way to view the underwater world and all the wonders that it holds. It is a common misconception that if boobies have (part) chests, then primary production is the rate of plant photosynthesis.
|
It is reasonable to believe that students have (part) cytoplasm.
|
It is reasonable to believe that students have (part) cytoplasm.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1]. [SC2-2]
Therefore, If (Not [0].), then [1]..
[SC1-2]
Hypothetical Syllogism:
If (Not [0].), then [4].
If [4], then [2].
Therefore, If (Not [0].), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [3] or (If [2], then [1].). [SC1-3]
Not [3].
Therefore, If [2], then [1]..
[SC1-3]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Either [3] or (If [2], then [1].).).
Not (If [5], then [6].).
Therefore, Either [3] or (If [2], then [1].)..
|
{0: 'Students have (part) cytoplasm.', 1: 'Snorkeling is a great way to view the underwater world and all the wonders that it holds.', 2: 'Turkeys have quite a sophisticated array of calls and vocal sounds.', 3: 'Some people have that kind of personality structure.', 4: 'Alcohol consumption can increase the chance of heat stroke or dehydration on a hot day.', 5: 'Boobies have (part) chests.', 6: 'Primary production is the rate of plant photosynthesis.'}
| 5 |
4,079 |
['Either one or both of these statements are true: most birds have prey, or recreational companionship is a key factor in drawing spouses together.', 'When most birds have prey is true, it follows that if the statement, most flowers have tubular shapes, does not hold, then polyurethanes cure by reacting with moisture from air or materials.', 'Provided that recreational companionship is a key factor in drawing spouses together, we know that if the statement, most flowers have tubular shapes, does not hold, then polyurethanes cure by reacting with moisture from air or materials.', 'Given that polyurethanes cure by reacting with moisture from air or materials, it can be inferred that storm surge is a rise in the sea level caused by strong winds.', 'Either curlies are of medium size or poultices are best for deep-seated pain or continuous inflammation.', "So long as curlies are of medium size, 'if polyurethanes cure by reacting with moisture from air or materials, then the claim that storm surge is a rise in the sea level caused by strong winds does not reflect reality' is true.", 'We know that either plaices have (part) flippers or addicted persons have difficulties with intimate relationships.', 'On the condition that plaices have (part) flippers, it is definitely the case that if poultices are best for deep-seated pain or continuous inflammation, then if polyurethanes cure by reacting with moisture from air or materials, then the claim that storm surge is a rise in the sea level caused by strong winds does not reflect reality.', 'Given that addicted persons have difficulties with intimate relationships, it can be inferred that if poultices are best for deep-seated pain or continuous inflammation, then if polyurethanes cure by reacting with moisture from air or materials, then the claim that storm surge is a rise in the sea level caused by strong winds does not reflect reality.']
|
Either one or both of these statements are true: most birds have prey, or recreational companionship is a key factor in drawing spouses together. When most birds have prey is true, it follows that if the statement, most flowers have tubular shapes, does not hold, then polyurethanes cure by reacting with moisture from air or materials. Provided that recreational companionship is a key factor in drawing spouses together, we know that if the statement, most flowers have tubular shapes, does not hold, then polyurethanes cure by reacting with moisture from air or materials. Given that polyurethanes cure by reacting with moisture from air or materials, it can be inferred that storm surge is a rise in the sea level caused by strong winds. Either curlies are of medium size or poultices are best for deep-seated pain or continuous inflammation. So long as curlies are of medium size, 'if polyurethanes cure by reacting with moisture from air or materials, then the claim that storm surge is a rise in the sea level caused by strong winds does not reflect reality' is true. We know that either plaices have (part) flippers or addicted persons have difficulties with intimate relationships. On the condition that plaices have (part) flippers, it is definitely the case that if poultices are best for deep-seated pain or continuous inflammation, then if polyurethanes cure by reacting with moisture from air or materials, then the claim that storm surge is a rise in the sea level caused by strong winds does not reflect reality. Given that addicted persons have difficulties with intimate relationships, it can be inferred that if poultices are best for deep-seated pain or continuous inflammation, then if polyurethanes cure by reacting with moisture from air or materials, then the claim that storm surge is a rise in the sea level caused by strong winds does not reflect reality.
|
Many people rightly believe that most flowers have tubular shapes.
|
It is not true that most flowers have tubular shapes.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (If (Not [0].), then [1].).
If [3], then (If (Not [0].), then [1].).
Therefore, If (Not [0].), then [1]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [4].
If [1], then (Not [4].). [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If [1], then (Not [4].).).
If [6], then (If [1], then (Not [4].).). [SC3-3]
Therefore, If [1], then (Not [4].)..
[SC3-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If [6], then (If [1], then (Not [4].).).).
If [8], then (If [6], then (If [1], then (Not [4].).).).
Therefore, If [6], then (If [1], then (Not [4].).)..
|
{0: 'Most flowers have tubular shapes.', 1: 'Polyurethanes cure by reacting with moisture from air or materials.', 2: 'Most birds have prey.', 3: 'Recreational companionship is a key factor in drawing spouses together.', 4: 'Storm surge is a rise in the sea level caused by strong winds.', 5: 'Curlies are of medium size.', 6: 'Poultices are best for deep-seated pain or continuous inflammation.', 7: 'Plaices have (part) flippers.', 8: 'Addicted persons have difficulties with intimate relationships.'}
| 5 |
4,680 |
['When republicans wear wide red ties and green sports jackets during the festive season is true, it follows that toll highways form an extensive inland transport network, including a north-south freeway.', 'There is good reason to believe that either all sea turtles share a similar behavior pattern when nesting or republicans wear wide red ties and green sports jackets during the festive season.', 'Once we know it is not true that either if soviets represent extremely flexible, highly democratic bodies which both pass and enforce laws, then impatience breeds anxiety, fear, discouragement and failure or the statement, all sea turtles share a similar behavior pattern when nesting, does not hold, we also know that male crabs reach full size.', 'The claim that male crabs reach full size is false.', 'It is rational to believe that either either products use toxic materials or shoes have soles or it is a common misconception that if soviets represent extremely flexible, highly democratic bodies which both pass and enforce laws, then impatience breeds anxiety, fear, discouragement and failure.', 'We know that the claim that either products use toxic materials or shoes have soles is false.']
|
When republicans wear wide red ties and green sports jackets during the festive season is true, it follows that toll highways form an extensive inland transport network, including a north-south freeway. There is good reason to believe that either all sea turtles share a similar behavior pattern when nesting or republicans wear wide red ties and green sports jackets during the festive season. Once we know it is not true that either if soviets represent extremely flexible, highly democratic bodies which both pass and enforce laws, then impatience breeds anxiety, fear, discouragement and failure or the statement, all sea turtles share a similar behavior pattern when nesting, does not hold, we also know that male crabs reach full size. The claim that male crabs reach full size is false. It is rational to believe that either either products use toxic materials or shoes have soles or it is a common misconception that if soviets represent extremely flexible, highly democratic bodies which both pass and enforce laws, then impatience breeds anxiety, fear, discouragement and failure. We know that the claim that either products use toxic materials or shoes have soles is false.
|
It is reasonable to believe that toll highways form an extensive inland transport network, including a north-south freeway.
|
It is reasonable to believe that toll highways form an extensive inland transport network, including a north-south freeway.
|
TRUE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or [1].
Not [2]. [SC2-2]
Therefore, [1].
[SC2-2]
Disjunctive Syllogism:
Either (If [3], then [4].) or (Not [2].). [SC1-3]
Not (If [3], then [4].). [SC2-3]
Therefore, Not [2]..
[SC1-3]
Modus Tonens:
If (Not (Either (If [3], then [4].) or (Not [2].).).), then [5].
Not [5].
Therefore, Either (If [3], then [4].) or (Not [2].)..
[SC2-3]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (Not (If [3], then [4].).).
Not (Either [6] or [7].).
Therefore, Not (If [3], then [4].)..
|
{0: 'Toll highways form an extensive inland transport network, including a north-south freeway.', 1: 'Republicans wear wide red ties and green sports jackets during the festive season.', 2: 'All sea turtles share a similar behavior pattern when nesting.', 3: 'Soviets represent extremely flexible, highly democratic bodies which both pass and enforce laws.', 4: 'Impatience breeds anxiety, fear, discouragement and failure.', 5: 'Male crabs reach full size.', 6: 'Products use toxic materials.', 7: 'Shoes have soles.'}
| 5 |
4,193 |
["So long as the notion that 'synthetic fertilizer provides nutrients' is untrue, 'stents are tiny mesh tubes that are implanted into a blood vessel' is true.", 'Provided that stents are tiny mesh tubes that are implanted into a blood vessel, we know that attempted suicide can be the mistake of a lifetime.', "Assuming the notion that 'if the notion that 'synthetic fertilizer provides nutrients' is untrue, then the notion that 'attempted suicide can be the mistake of a lifetime' is untrue' is untrue, we know that concentration changes with altitude.", 'We know that either fleas thrive in warm, moist environments and climates or the claim that concentration changes with altitude does not correspond with reality.', 'Once we know fleas thrive in warm, moist environments and climates, we also know that addiction is idolatry.', 'The statement, addiction is idolatry, does not hold.']
|
So long as the notion that 'synthetic fertilizer provides nutrients' is untrue, 'stents are tiny mesh tubes that are implanted into a blood vessel' is true. Provided that stents are tiny mesh tubes that are implanted into a blood vessel, we know that attempted suicide can be the mistake of a lifetime. Assuming the notion that 'if the notion that 'synthetic fertilizer provides nutrients' is untrue, then the notion that 'attempted suicide can be the mistake of a lifetime' is untrue' is untrue, we know that concentration changes with altitude. We know that either fleas thrive in warm, moist environments and climates or the claim that concentration changes with altitude does not correspond with reality. Once we know fleas thrive in warm, moist environments and climates, we also know that addiction is idolatry. The statement, addiction is idolatry, does not hold.
|
Those that suggest synthetic fertilizer provides nutrients are right.
|
It is not the case that synthetic fertilizer provides nutrients.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2].
If [2], then [1].
Therefore, If (Not [0].), then [1]..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [3].
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (Not [3].).
Not [4]. [SC2-3]
Therefore, Not [3]..
[SC2-3]
Modus Tonens:
If [4], then [5].
Not [5].
Therefore, Not [4]..
|
{0: 'Synthetic fertilizer provides nutrients.', 1: 'Attempted suicide can be the mistake of a lifetime.', 2: 'Stents are tiny mesh tubes that are implanted into a blood vessel.', 3: 'Concentration changes with altitude.', 4: 'Fleas thrive in warm, moist environments and climates.', 5: 'Addiction is idolatry.'}
| 5 |
4,750 |
['One may reasonably assume that if authors have (part) heads, then planning is about making choices.', 'It is fair to say that some air quality relates to health.', 'It is rational to believe that either if system is a complex integration of various hardware components in a software environment, then some squirrels also hibernate in burrows during the winter to keep warm or if stained glass is an art form that dates back a thousand years to pre-medieval Europe, then if some air quality relates to health, then authors have (part) heads.', 'We know that the claim that if system is a complex integration of various hardware components in a software environment, then some squirrels also hibernate in burrows during the winter to keep warm is false.', 'We know that either if lightning is the cause of many forest fires, then albumin is a protein which is made by the liver and circulates in the blood or cholesterol does both good and bad things for the body.', 'When if lightning is the cause of many forest fires, then albumin is a protein which is made by the liver and circulates in the blood is true, it follows that stained glass is an art form that dates back a thousand years to pre-medieval Europe.', 'Given that cholesterol does both good and bad things for the body, it can be inferred that stained glass is an art form that dates back a thousand years to pre-medieval Europe.']
|
One may reasonably assume that if authors have (part) heads, then planning is about making choices. It is fair to say that some air quality relates to health. It is rational to believe that either if system is a complex integration of various hardware components in a software environment, then some squirrels also hibernate in burrows during the winter to keep warm or if stained glass is an art form that dates back a thousand years to pre-medieval Europe, then if some air quality relates to health, then authors have (part) heads. We know that the claim that if system is a complex integration of various hardware components in a software environment, then some squirrels also hibernate in burrows during the winter to keep warm is false. We know that either if lightning is the cause of many forest fires, then albumin is a protein which is made by the liver and circulates in the blood or cholesterol does both good and bad things for the body. When if lightning is the cause of many forest fires, then albumin is a protein which is made by the liver and circulates in the blood is true, it follows that stained glass is an art form that dates back a thousand years to pre-medieval Europe. Given that cholesterol does both good and bad things for the body, it can be inferred that stained glass is an art form that dates back a thousand years to pre-medieval Europe.
|
It is fair to say that planning is about making choices.
|
It is fair to say that planning is about making choices.
|
TRUE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Modus Ponens:
If [2], then [1]. [SC1-2]
[2]
Therefore, [1].
[SC1-2]
Modus Ponens:
If [3], then (If [2], then [1].). [SC1-3]
[3] [SC2-3]
Therefore, If [2], then [1]..
[SC1-3]
Disjunctive Syllogism:
Either (If [7], then [8].) or (If [3], then (If [2], then [1].).).
Not (If [7], then [8].).
Therefore, If [3], then (If [2], then [1].)..
[SC2-3]
Disjunction Elimination:
Either (If [4], then [5].) or [6].
If (If [4], then [5].), then [3].
If [6], then [3].
Therefore, [3].
|
{0: 'Planning is about making choices.', 1: 'Authors have (part) heads.', 2: 'Some air quality relates to health.', 3: 'Stained glass is an art form that dates back a thousand years to pre-medieval Europe.', 4: 'Lightning is the cause of many forest fires.', 5: 'Albumin is a protein which is made by the liver and circulates in the blood.', 6: 'Cholesterol does both good and bad things for the body.', 7: 'System is a complex integration of various hardware components in a software environment.', 8: 'Some squirrels also hibernate in burrows during the winter to keep warm.'}
| 5 |
4,181 |
["Whenever it is true that some male crabs have abdominal flaps, 'either sleep apnea is the sudden stoppage of breath during sleep or bone is a living organ' is true.", 'It is a fact that either poetry is an art practised with the terribly plastic material of human language or suicide is a means of achieving the easiest way out.', "Whenever it is true that poetry is an art practised with the terribly plastic material of human language, 'some male crabs have abdominal flaps' is true.", 'If suicide is a means of achieving the easiest way out, then thymic peptide protects vascular enothelial cells from hydrogen peroxide-induced oxidant injury.', 'Some people mistakenly believe that a sublease is a lease.', 'At least one of two things is true: term insurance is the most economical form of life insurance, or pelicans have (part) rib cages.', 'Provided that term insurance is the most economical form of life insurance, we know that if the claim that if thymic peptide protects vascular enothelial cells from hydrogen peroxide-induced oxidant injury, then either sleep apnea is the sudden stoppage of breath during sleep or bone is a living organ does not reflect reality, then a sublease is a lease.', 'Given that some people mistakenly believe that if pelicans have (part) rib cages, then if the claim that if thymic peptide protects vascular enothelial cells from hydrogen peroxide-induced oxidant injury, then either sleep apnea is the sudden stoppage of breath during sleep or bone is a living organ does not reflect reality, then a sublease is a lease, it can be inferred that most religions grant exceptions from religious duties to people who are sick.', 'If some people mistakenly believe that if pelicans have (part) rib cages, then if the claim that if thymic peptide protects vascular enothelial cells from hydrogen peroxide-induced oxidant injury, then either sleep apnea is the sudden stoppage of breath during sleep or bone is a living organ does not reflect reality, then a sublease is a lease, then those that suggest most religions grant exceptions from religious duties to people who are sick are wrong.']
|
Whenever it is true that some male crabs have abdominal flaps, 'either sleep apnea is the sudden stoppage of breath during sleep or bone is a living organ' is true. It is a fact that either poetry is an art practised with the terribly plastic material of human language or suicide is a means of achieving the easiest way out. Whenever it is true that poetry is an art practised with the terribly plastic material of human language, 'some male crabs have abdominal flaps' is true. If suicide is a means of achieving the easiest way out, then thymic peptide protects vascular enothelial cells from hydrogen peroxide-induced oxidant injury. Some people mistakenly believe that a sublease is a lease. At least one of two things is true: term insurance is the most economical form of life insurance, or pelicans have (part) rib cages. Provided that term insurance is the most economical form of life insurance, we know that if the claim that if thymic peptide protects vascular enothelial cells from hydrogen peroxide-induced oxidant injury, then either sleep apnea is the sudden stoppage of breath during sleep or bone is a living organ does not reflect reality, then a sublease is a lease. Given that some people mistakenly believe that if pelicans have (part) rib cages, then if the claim that if thymic peptide protects vascular enothelial cells from hydrogen peroxide-induced oxidant injury, then either sleep apnea is the sudden stoppage of breath during sleep or bone is a living organ does not reflect reality, then a sublease is a lease, it can be inferred that most religions grant exceptions from religious duties to people who are sick. If some people mistakenly believe that if pelicans have (part) rib cages, then if the claim that if thymic peptide protects vascular enothelial cells from hydrogen peroxide-induced oxidant injury, then either sleep apnea is the sudden stoppage of breath during sleep or bone is a living organ does not reflect reality, then a sublease is a lease, then those that suggest most religions grant exceptions from religious duties to people who are sick are wrong.
|
Either one or both of these statements are true: sleep apnea is the sudden stoppage of breath during sleep, or bone is a living organ.
|
Either one or both of these statements are true: sleep apnea is the sudden stoppage of breath during sleep, or bone is a living organ.
|
TRUE
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].).
If [3], then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Constructive Dilemma:
Either [5] or [6].
If [5], then [2].
If [6], then [3].
Therefore, Either [2] or [3]..
[SC3-1]
Modus Tonens:
If (Not (If [3], then (Either [0] or [1].).).), then [4]. [SC1-2]
Not [4].
Therefore, If [3], then (Either [0] or [1].)..
[SC1-2]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If [3], then (Either [0] or [1].).).), then [4].).
If [8], then (If (Not (If [3], then (Either [0] or [1].).).), then [4].). [SC3-3]
Therefore, If (Not (If [3], then (Either [0] or [1].).).), then [4]..
[SC3-3]
Reductio Ad Absurdum:
If (Not (If [8], then (If (Not (If [3], then (Either [0] or [1].).).), then [4].).).), then [9].
If (Not (If [8], then (If (Not (If [3], then (Either [0] or [1].).).), then [4].).).), then (Not [9].).
Therefore, If [8], then (If (Not (If [3], then (Either [0] or [1].).).), then [4].)..
|
{0: 'Sleep apnea is the sudden stoppage of breath during sleep.', 1: 'Bone is a living organ.', 2: 'Some male crabs have abdominal flaps.', 3: 'Thymic peptide protects vascular enothelial cells from hydrogen peroxide-induced oxidant injury.', 4: 'A sublease is a lease.', 5: 'Poetry is an art practised with the terribly plastic material of human language.', 6: 'Suicide is a means of achieving the easiest way out.', 7: 'Term insurance is the most economical form of life insurance.', 8: 'Pelicans have (part) rib cages.', 9: 'Most religions grant exceptions from religious duties to people who are sick.'}
| 5 |
4,535 |
['We know that either compound interest is what makes credit cards and loans so difficult to pay off or if gerbils have growth, then a lecturer is an educator.', 'Provided that a lecturer is an educator, we know that energy travels from the sun to the earth by means of electromagnetic waves.', 'Provided that a lecturer is an educator, we know that those that suggest energy travels from the sun to the earth by means of electromagnetic waves are wrong.', 'When compound interest is what makes credit cards and loans so difficult to pay off is true, it follows that some people mistakenly believe that science is an instrument of public health.', 'Provided that bitters are ale, we know that if compound interest is what makes credit cards and loans so difficult to pay off, then science is an instrument of public health.', "The statement 'bitters are ale' is true."]
|
We know that either compound interest is what makes credit cards and loans so difficult to pay off or if gerbils have growth, then a lecturer is an educator. Provided that a lecturer is an educator, we know that energy travels from the sun to the earth by means of electromagnetic waves. Provided that a lecturer is an educator, we know that those that suggest energy travels from the sun to the earth by means of electromagnetic waves are wrong. When compound interest is what makes credit cards and loans so difficult to pay off is true, it follows that some people mistakenly believe that science is an instrument of public health. Provided that bitters are ale, we know that if compound interest is what makes credit cards and loans so difficult to pay off, then science is an instrument of public health. The statement 'bitters are ale' is true.
|
It is not the case that gerbils have growth.
|
It is not the case that gerbils are very friendly creatures that like to be picked up and held.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If [0], then [1].).
Not [3]. [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Reductio Ad Absurdum:
If [3], then [4]. [SC1-3]
If [3], then (Not [4].).
Therefore, Not [3]..
[SC1-3]
Modus Ponens:
If [5], then (If [3], then [4].).
[5]
Therefore, If [3], then [4]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then [2].
If [1], then (Not [2].).
Therefore, Not [1]..
|
{0: 'Gerbils have growth.', 1: 'A lecturer is an educator.', 2: 'Energy travels from the sun to the earth by means of electromagnetic waves.', 3: 'Compound interest is what makes credit cards and loans so difficult to pay off.', 4: 'Science is an instrument of public health.', 5: 'Bitters are ale.'}
| 5 |
4,484 |
['One may reasonably assume that if those that suggest either timber is the only manufacturing industry where employment has increased in the last decade or electronic indexes provide only citations to books or articles are wrong, then mastery is a board game of skill and strategy for two players.', 'Assuming if wetlands provide habitat for mallards, blue winged teal and wood ducks, then magnesium carbonate is crystal, we know that some people mistakenly believe that timber is the only manufacturing industry where employment has increased in the last decade.', 'Should it be the case that wetlands provide habitat for mallards, blue winged teal and wood ducks, it follows that magnesium carbonate is crystal.', 'Given that mastery is a board game of skill and strategy for two players, it can be inferred that people often mistake depression for emotion.', 'Either ivies are the most common and one of the easiest plants to use for hollow topiaries or it is a common misconception that people often mistake depression for emotion.', "The statement that 'ivies are the most common and one of the easiest plants to use for hollow topiaries' is incorrect."]
|
One may reasonably assume that if those that suggest either timber is the only manufacturing industry where employment has increased in the last decade or electronic indexes provide only citations to books or articles are wrong, then mastery is a board game of skill and strategy for two players. Assuming if wetlands provide habitat for mallards, blue winged teal and wood ducks, then magnesium carbonate is crystal, we know that some people mistakenly believe that timber is the only manufacturing industry where employment has increased in the last decade. Should it be the case that wetlands provide habitat for mallards, blue winged teal and wood ducks, it follows that magnesium carbonate is crystal. Given that mastery is a board game of skill and strategy for two players, it can be inferred that people often mistake depression for emotion. Either ivies are the most common and one of the easiest plants to use for hollow topiaries or it is a common misconception that people often mistake depression for emotion. The statement that 'ivies are the most common and one of the easiest plants to use for hollow topiaries' is incorrect.
|
The statement 'electronic indexes provide only citations to books or articles' is true.
|
Electronic indexes allow searching by keywords in addition to author, title, subject, etc.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [0].).), then [4].
Not [4]. [SC2-2]
Therefore, Either [1] or [0]..
[SC2-2]
Modus Tonens:
If [4], then [5].
Not [5]. [SC2-3]
Therefore, Not [4]..
[SC2-3]
Disjunctive Syllogism:
Either [6] or (Not [5].).
Not [6].
Therefore, Not [5]..
[SC2-1]
Modus Ponens:
If (If [2], then [3].), then (Not [1].).
If [2], then [3].
Therefore, Not [1]..
|
{0: 'Electronic indexes provide only citations to books or articles.', 1: 'Timber is the only manufacturing industry where employment has increased in the last decade.', 2: 'Wetlands provide habitat for mallards, blue winged teal and wood ducks.', 3: 'Magnesium carbonate is crystal.', 4: 'Mastery is a board game of skill and strategy for two players.', 5: 'People often mistake depression for emotion.', 6: 'Ivies are the most common and one of the easiest plants to use for hollow topiaries.'}
| 5 |
4,200 |
['Should it be the case that martinique isa thing, it follows that either some animals can become quite ill and develop a fever, lose their appetite, and become lethargic or dance is more than the rhythmic movement of one s feet and body it is also a form of expression.', 'Provided that some people mistakenly believe that either people eat meals or martinique isa thing, we know that most coyotes eat prey.', 'On the condition that some people mistakenly believe that either people eat meals or martinique isa thing, it is definitely the case that some people mistakenly believe that most coyotes eat prey.', 'There is good reason to believe that either if trazodone has weak skeletal muscle-relaxant activity and no anticonvulsant activity, then hummingbirds enjoy grooming themselves or if people eat meals, then either some animals can become quite ill and develop a fever, lose their appetite, and become lethargic or dance is more than the rhythmic movement of one s feet and body it is also a form of expression.', 'The claim that deficiencies result in serious problems is false.', 'It is rational to believe that either alcohol is the drug of choice - for parents, for children or if some ants collect seeds, then patients receive combine therapy.', 'Should it be the case that alcohol is the drug of choice - for parents, for children, it follows that if if trazodone has weak skeletal muscle-relaxant activity and no anticonvulsant activity, then hummingbirds enjoy grooming themselves, then deficiencies result in serious problems.', 'Provided that if some ants collect seeds, then patients receive combine therapy, we know that if if trazodone has weak skeletal muscle-relaxant activity and no anticonvulsant activity, then hummingbirds enjoy grooming themselves, then deficiencies result in serious problems.']
|
Should it be the case that martinique isa thing, it follows that either some animals can become quite ill and develop a fever, lose their appetite, and become lethargic or dance is more than the rhythmic movement of one s feet and body it is also a form of expression. Provided that some people mistakenly believe that either people eat meals or martinique isa thing, we know that most coyotes eat prey. On the condition that some people mistakenly believe that either people eat meals or martinique isa thing, it is definitely the case that some people mistakenly believe that most coyotes eat prey. There is good reason to believe that either if trazodone has weak skeletal muscle-relaxant activity and no anticonvulsant activity, then hummingbirds enjoy grooming themselves or if people eat meals, then either some animals can become quite ill and develop a fever, lose their appetite, and become lethargic or dance is more than the rhythmic movement of one s feet and body it is also a form of expression. The claim that deficiencies result in serious problems is false. It is rational to believe that either alcohol is the drug of choice - for parents, for children or if some ants collect seeds, then patients receive combine therapy. Should it be the case that alcohol is the drug of choice - for parents, for children, it follows that if if trazodone has weak skeletal muscle-relaxant activity and no anticonvulsant activity, then hummingbirds enjoy grooming themselves, then deficiencies result in serious problems. Provided that if some ants collect seeds, then patients receive combine therapy, we know that if if trazodone has weak skeletal muscle-relaxant activity and no anticonvulsant activity, then hummingbirds enjoy grooming themselves, then deficiencies result in serious problems.
|
Either some animals can become quite ill and develop a fever, lose their appetite, and become lethargic or dance is more than the rhythmic movement of one s feet and body it is also a form of expression.
|
We know that at least one of two things is true: some animals develop fixed eating habits, or dances trips.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].).
Therefore, Either [0] or [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [2] or [3].).), then [4].
If (Not (Either [2] or [3].).), then (Not [4].).
Therefore, Either [2] or [3]..
[SC2-1]
Disjunctive Syllogism:
Either (If [5], then [6].) or (If [2], then (Either [0] or [1].).).
Not (If [5], then [6].). [SC2-2]
Therefore, If [2], then (Either [0] or [1].)..
[SC2-2]
Modus Tonens:
If (If [5], then [6].), then [7]. [SC1-3]
Not [7].
Therefore, Not (If [5], then [6].)..
[SC1-3]
Disjunction Elimination:
Either [8] or (If [9], then [10].).
If [8], then (If (If [5], then [6].), then [7].).
If (If [9], then [10].), then (If (If [5], then [6].), then [7].).
Therefore, If (If [5], then [6].), then [7]..
|
{0: 'Some animals can become quite ill and develop a fever, lose their appetite, and become lethargic.', 1: 'Dance is more than the rhythmic movement of one s feet and body it is also a form of expression.', 2: 'People eat meals.', 3: 'Martinique isa thing.', 4: 'Most coyotes eat prey.', 5: 'Trazodone has weak skeletal muscle-relaxant activity and no anticonvulsant activity.', 6: 'Hummingbirds enjoy grooming themselves.', 7: 'Deficiencies result in serious problems.', 8: 'Alcohol is the drug of choice - for parents, for children.', 9: 'Some ants collect seeds.', 10: 'Patients receive combine therapy.'}
| 5 |
4,364 |
['Assuming masonry is a structure, we know that if the statement, miniature roses tend to grow in a tangle, does not hold, then either cells are the holographic units in the low and same grade and have similar functions or liposomal sprays have greater bioavailability and quicker activity that capsules or tablets.', 'Provided that either cells are the holographic units in the low and same grade and have similar functions or liposomal sprays have greater bioavailability and quicker activity that capsules or tablets, we know that crop rotation is the basis for the sustainability of direct-sowing systems.', "The notion that 'crop rotation is the basis for the sustainability of direct-sowing systems' is untrue.", 'There is good reason to believe that either prolapses often recur in subsequent pregnancies or friends get feelings.', 'Should it be the case that friends get feelings, it follows that masonry is a structure.', "So long as the claim that if prolapses often recur in subsequent pregnancies, then masonry is a structure is false, 'urban dance is the fancy term for break dancing ' is true.", 'The statement that states urban dance is the fancy term for break dancing is false.']
|
Assuming masonry is a structure, we know that if the statement, miniature roses tend to grow in a tangle, does not hold, then either cells are the holographic units in the low and same grade and have similar functions or liposomal sprays have greater bioavailability and quicker activity that capsules or tablets. Provided that either cells are the holographic units in the low and same grade and have similar functions or liposomal sprays have greater bioavailability and quicker activity that capsules or tablets, we know that crop rotation is the basis for the sustainability of direct-sowing systems. The notion that 'crop rotation is the basis for the sustainability of direct-sowing systems' is untrue. There is good reason to believe that either prolapses often recur in subsequent pregnancies or friends get feelings. Should it be the case that friends get feelings, it follows that masonry is a structure. So long as the claim that if prolapses often recur in subsequent pregnancies, then masonry is a structure is false, 'urban dance is the fancy term for break dancing ' is true. The statement that states urban dance is the fancy term for break dancing is false.
|
It is fair to say that miniature roses tend to grow in a tangle.
|
The statement that 'miniature roses tend to grow in a tangle' is incorrect.
|
FALSE
|
Modus Tonens:
If (Not [0].), then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [3], then (If (Not [0].), then (Either [1] or [2].).).
[3] [SC2-2]
Therefore, If (Not [0].), then (Either [1] or [2].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then [3]. [SC2-3]
If [6], then [3].
Therefore, [3].
[SC2-3]
Modus Tonens:
If (Not (If [5], then [3].).), then [7].
Not [7].
Therefore, If [5], then [3]..
[SC2-1]
Modus Tonens:
If (Either [1] or [2].), then [4].
Not [4].
Therefore, Not (Either [1] or [2].)..
|
{0: 'Miniature roses tend to grow in a tangle.', 1: 'Cells are the holographic units in the low and same grade and have similar functions.', 2: 'Liposomal sprays have greater bioavailability and quicker activity that capsules or tablets.', 3: 'Masonry is a structure.', 4: 'Crop rotation is the basis for the sustainability of direct-sowing systems.', 5: 'Prolapses often recur in subsequent pregnancies.', 6: 'Friends get feelings.', 7: 'Urban dance is the fancy term for break dancing .'}
| 5 |
4,991 |
["Once we know the statement that 'if intake is an activity, then either carbon dioxide produced by human activity enters the natural carbon cycle or liability insurance covers legal liability of an insured' is incorrect, we also know that default isa option.", "So long as either carbon dioxide produced by human activity enters the natural carbon cycle or liability insurance covers legal liability of an insured, 'bladder infections are technically infections of the kidneys' is true.", 'It is rational to believe that either most stars use up the hydrogen at their core or the statement, default isa option, does not hold.', 'Some people mistakenly believe that most stars use up the hydrogen at their core .', 'Either ozone is a rare gas on Earth found mostly in the stratosphere or spotted owls prey on rodents, and mountain lions prey on deer.', "Assuming ozone is a rare gas on Earth found mostly in the stratosphere , we know that the statement that 'bladder infections are technically infections of the kidneys' is incorrect.", "Assuming spotted owls prey on rodents, and mountain lions prey on deer, we know that the statement that 'bladder infections are technically infections of the kidneys' is incorrect."]
|
Once we know the statement that 'if intake is an activity, then either carbon dioxide produced by human activity enters the natural carbon cycle or liability insurance covers legal liability of an insured' is incorrect, we also know that default isa option. So long as either carbon dioxide produced by human activity enters the natural carbon cycle or liability insurance covers legal liability of an insured, 'bladder infections are technically infections of the kidneys' is true. It is rational to believe that either most stars use up the hydrogen at their core or the statement, default isa option, does not hold. Some people mistakenly believe that most stars use up the hydrogen at their core . Either ozone is a rare gas on Earth found mostly in the stratosphere or spotted owls prey on rodents, and mountain lions prey on deer. Assuming ozone is a rare gas on Earth found mostly in the stratosphere , we know that the statement that 'bladder infections are technically infections of the kidneys' is incorrect. Assuming spotted owls prey on rodents, and mountain lions prey on deer, we know that the statement that 'bladder infections are technically infections of the kidneys' is incorrect.
|
We know that the claim that intake is an activity is false.
|
The claim that intake improves calcium absorption does not correspond with reality.
|
Uncertain
|
Modus Tonens:
If [0], then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then (Either [1] or [2].).).), then [4].
Not [4]. [SC2-2]
Therefore, If [0], then (Either [1] or [2].)..
[SC2-2]
Disjunctive Syllogism:
Either [5] or (Not [4].).
Not [5].
Therefore, Not [4]..
[SC2-1]
Modus Tonens:
If (Either [1] or [2].), then [3].
Not [3]. [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [3].).
If [7], then (Not [3].).
Therefore, Not [3]..
|
{0: 'Intake is an activity.', 1: 'Carbon dioxide produced by human activity enters the natural carbon cycle.', 2: 'Liability insurance covers legal liability of an insured.', 3: 'Bladder infections are technically infections of the kidneys.', 4: 'Default isa option.', 5: 'Most stars use up the hydrogen at their core .', 6: 'Ozone is a rare gas on Earth found mostly in the stratosphere .', 7: 'Spotted owls prey on rodents, and mountain lions prey on deer.'}
| 5 |
4,462 |
["The notion that 'civil society has an increasingly important role to play in enhancing socio-economic development' is untrue.", 'On the condition that the claim that either civil society has an increasingly important role to play in enhancing socio-economic development or animals are the only living things to have conquered the air has no merit, it is definitely the case that it is a common misconception that if long blades are also harder for the birds to eat, then bulbs can lengthen the time a flower bed displays color.', "At least one of two things is true: either pork is one of the world's most widely eaten meats or farmers smoke less, drink less, and are more active than most other adults, or if the claim that either civil society has an increasingly important role to play in enhancing socio-economic development or animals are the only living things to have conquered the air has no merit, then if long blades are also harder for the birds to eat, then bulbs can lengthen the time a flower bed displays color.", "Should it be the case that either pork is one of the world's most widely eaten meats or farmers smoke less, drink less, and are more active than most other adults, it follows that insects possess a rigid exoskeleton made of chitinous cuticle covered with hair.", "If prayer is an act of faith , then if either pork is one of the world's most widely eaten meats or farmers smoke less, drink less, and are more active than most other adults, then we know that the claim that insects possess a rigid exoskeleton made of chitinous cuticle covered with hair is false.", 'It is true that prayer is an act of faith .']
|
The notion that 'civil society has an increasingly important role to play in enhancing socio-economic development' is untrue. On the condition that the claim that either civil society has an increasingly important role to play in enhancing socio-economic development or animals are the only living things to have conquered the air has no merit, it is definitely the case that it is a common misconception that if long blades are also harder for the birds to eat, then bulbs can lengthen the time a flower bed displays color. At least one of two things is true: either pork is one of the world's most widely eaten meats or farmers smoke less, drink less, and are more active than most other adults, or if the claim that either civil society has an increasingly important role to play in enhancing socio-economic development or animals are the only living things to have conquered the air has no merit, then if long blades are also harder for the birds to eat, then bulbs can lengthen the time a flower bed displays color. Should it be the case that either pork is one of the world's most widely eaten meats or farmers smoke less, drink less, and are more active than most other adults, it follows that insects possess a rigid exoskeleton made of chitinous cuticle covered with hair. If prayer is an act of faith , then if either pork is one of the world's most widely eaten meats or farmers smoke less, drink less, and are more active than most other adults, then we know that the claim that insects possess a rigid exoskeleton made of chitinous cuticle covered with hair is false. It is true that prayer is an act of faith .
|
It is rational to agree that animals are the only living things to have conquered the air.
|
It is rational to agree that animals are the only living things to have conquered the air.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1].
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [0].).), then (If [2], then [3].). [SC1-2]
If (Not (Either [1] or [0].).), then (Not (If [2], then [3].).).
Therefore, Either [1] or [0]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (If (Not (Either [1] or [0].).), then (If [2], then [3].).).
Not (Either [4] or [5].). [SC2-3]
Therefore, If (Not (Either [1] or [0].).), then (If [2], then [3].)..
[SC2-3]
Reductio Ad Absurdum:
If (Either [4] or [5].), then [6].
If (Either [4] or [5].), then (Not [6].). [SC2-4]
Therefore, Not (Either [4] or [5].)..
[SC2-4]
Modus Ponens:
If [7], then (If (Either [4] or [5].), then (Not [6].).).
[7]
Therefore, If (Either [4] or [5].), then (Not [6].)..
|
{0: 'Animals are the only living things to have conquered the air.', 1: 'Civil society has an increasingly important role to play in enhancing socio-economic development.', 2: 'Long blades are also harder for the birds to eat.', 3: 'Bulbs can lengthen the time a flower bed displays color.', 4: "Pork is one of the world's most widely eaten meats.", 5: 'Farmers smoke less, drink less, and are more active than most other adults.', 6: 'Insects possess a rigid exoskeleton made of chitinous cuticle covered with hair.', 7: 'Prayer is an act of faith .'}
| 5 |
4,356 |
["Whenever it is true that the claim that telephones are located in offices does not correspond with reality, 'logical fallacy is a false belief' is true.", "The statement 'some tigers have protection' can be considered false.", 'It is a fact that either either adventure travel is a service industry or flavor is kinds or if it is not true that if the claim that telephones are located in offices does not correspond with reality, then those that suggest logical fallacy is a false belief are wrong, then atherosclerosis begins when something injures the lining of an artery.', 'Some people mistakenly believe that either adventure travel is a service industry or flavor is kinds.', 'If it is a common misconception that if atherosclerosis begins when something injures the lining of an artery, then some tigers have protection, then if most blind observers analyze patterns, then most deer are located on grass.', 'The claim that if most blind observers analyze patterns, then most deer are located on grass does not reflect reality.']
|
Whenever it is true that the claim that telephones are located in offices does not correspond with reality, 'logical fallacy is a false belief' is true. The statement 'some tigers have protection' can be considered false. It is a fact that either either adventure travel is a service industry or flavor is kinds or if it is not true that if the claim that telephones are located in offices does not correspond with reality, then those that suggest logical fallacy is a false belief are wrong, then atherosclerosis begins when something injures the lining of an artery. Some people mistakenly believe that either adventure travel is a service industry or flavor is kinds. If it is a common misconception that if atherosclerosis begins when something injures the lining of an artery, then some tigers have protection, then if most blind observers analyze patterns, then most deer are located on grass. The claim that if most blind observers analyze patterns, then most deer are located on grass does not reflect reality.
|
Those that suggest telephones are located in offices are right.
|
Telephones are located in desks.
|
Uncertain
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If (Not [0].), then (Not [1].).).), then [3]. [SC1-3]
If [3], then [2]. [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC1-3]
Disjunctive Syllogism:
Either (Either [4] or [5].) or (If (Not (If (Not [0].), then (Not [1].).).), then [3].).
Not (Either [4] or [5].).
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [3]..
[SC2-3]
Modus Tonens:
If (Not (If [3], then [2].).), then (If [6], then [7].).
Not (If [6], then [7].).
Therefore, If [3], then [2]..
|
{0: 'Telephones are located in offices.', 1: 'Logical fallacy is a false belief.', 2: 'Some tigers have protection.', 3: 'Atherosclerosis begins when something injures the lining of an artery.', 4: 'Adventure travel is a service industry.', 5: 'Flavor is kinds.', 6: 'Most blind observers analyze patterns.', 7: 'Most deer are located on grass.'}
| 5 |
4,002 |
["On the condition that the statement that 'if gentlemans are located in meetings, then darkrooms are rooms' is incorrect, it is definitely the case that some animals help populations.", "On the condition that the statement that 'if gentlemans are located in meetings, then darkrooms are rooms' is incorrect, it is definitely the case that those that suggest some animals help populations are wrong.", "Assuming gentlemans are located in meetings, we know that recent studies show that a child's biological clock moves forward in the teen years.", 'The claim that some insects undergo incomplete metamorphosis holds true.', "Should it be the case that the notion that 'if some insects undergo incomplete metamorphosis, then if recent studies show that a child's biological clock moves forward in the teen years, then the claim that darkrooms are rooms does not correspond with reality' is untrue, it follows that if a computer virus is a computer programme, then bacteriological testing is used as an indicator of the integrity of the well.", 'It is not the case that if a computer virus is a computer programme, then bacteriological testing is used as an indicator of the integrity of the well.']
|
On the condition that the statement that 'if gentlemans are located in meetings, then darkrooms are rooms' is incorrect, it is definitely the case that some animals help populations. On the condition that the statement that 'if gentlemans are located in meetings, then darkrooms are rooms' is incorrect, it is definitely the case that those that suggest some animals help populations are wrong. Assuming gentlemans are located in meetings, we know that recent studies show that a child's biological clock moves forward in the teen years. The claim that some insects undergo incomplete metamorphosis holds true. Should it be the case that the notion that 'if some insects undergo incomplete metamorphosis, then if recent studies show that a child's biological clock moves forward in the teen years, then the claim that darkrooms are rooms does not correspond with reality' is untrue, it follows that if a computer virus is a computer programme, then bacteriological testing is used as an indicator of the integrity of the well. It is not the case that if a computer virus is a computer programme, then bacteriological testing is used as an indicator of the integrity of the well.
|
The statement that states gentlemans are located in meetings is false.
|
The idea that gentlemans are located in meetings is true.
|
FALSE
|
Reductio Ad Absurdum:
If [0], then [1]. [SC1-1]
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then [2].
If (Not (If [0], then [1].).), then (Not [2].).
Therefore, If [0], then [1]..
[SC2-1]
Hypothetical Syllogism:
If [0], then [3].
If [3], then (Not [1].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Ponens:
If [4], then (If [3], then (Not [1].).). [SC1-3]
[4]
Therefore, If [3], then (Not [1].)..
[SC1-3]
Modus Tonens:
If (Not (If [4], then (If [3], then (Not [1].).).).), then (If [5], then [6].).
Not (If [5], then [6].).
Therefore, If [4], then (If [3], then (Not [1].).)..
|
{0: 'Gentlemans are located in meetings.', 1: 'Darkrooms are rooms.', 2: 'Some animals help populations.', 3: "Recent studies show that a child's biological clock moves forward in the teen years.", 4: 'Some insects undergo incomplete metamorphosis.', 5: 'A computer virus is a computer programme.', 6: 'Bacteriological testing is used as an indicator of the integrity of the well.'}
| 5 |
4,478 |
['koalas are dioecious animals that reproduce sexually.', "Should it be the case that the claim that if koalas are dioecious animals that reproduce sexually, then the notion that 'gorillas are almost exclusively herbivorous' is untrue is false, it follows that either cats receive food or real incomes rise and generate increased demand and production.", "One may reasonably assume that if the statement that 'if the claim that if koalas are dioecious animals that reproduce sexually, then the notion that 'gorillas are almost exclusively herbivorous' is untrue is false, then some people mistakenly believe that either cats receive food or real incomes rise and generate increased demand and production' is incorrect, then box seats are part of grandstands.", "The statement that 'some abrasives contain salts and actually deposit trace amounts of soluble salts on surfaces' is incorrect.", 'Should it be the case that a raw is nakedness, it follows that if box seats are part of grandstands, then some abrasives contain salts and actually deposit trace amounts of soluble salts on surfaces.', 'Those that suggest a raw is nakedness are right.']
|
koalas are dioecious animals that reproduce sexually. Should it be the case that the claim that if koalas are dioecious animals that reproduce sexually, then the notion that 'gorillas are almost exclusively herbivorous' is untrue is false, it follows that either cats receive food or real incomes rise and generate increased demand and production. One may reasonably assume that if the statement that 'if the claim that if koalas are dioecious animals that reproduce sexually, then the notion that 'gorillas are almost exclusively herbivorous' is untrue is false, then some people mistakenly believe that either cats receive food or real incomes rise and generate increased demand and production' is incorrect, then box seats are part of grandstands. The statement that 'some abrasives contain salts and actually deposit trace amounts of soluble salts on surfaces' is incorrect. Should it be the case that a raw is nakedness, it follows that if box seats are part of grandstands, then some abrasives contain salts and actually deposit trace amounts of soluble salts on surfaces. Those that suggest a raw is nakedness are right.
|
The notion that 'gorillas are almost exclusively herbivorous' is untrue.
|
The claim that gorillas have (part) corpi is false.
|
Uncertain
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then (Either [2] or [3].).
If (Not (If [1], then (Not [0].).).), then (Not (Either [2] or [3].).). [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Modus Tonens:
If (Not (If (Not (If [1], then (Not [0].).).), then (Not (Either [2] or [3].).).).), then [4].
Not [4]. [SC2-3]
Therefore, If (Not (If [1], then (Not [0].).).), then (Not (Either [2] or [3].).)..
[SC2-3]
Modus Tonens:
If [4], then [5]. [SC1-4]
Not [5].
Therefore, Not [4]..
[SC1-4]
Modus Ponens:
If [6], then (If [4], then [5].).
[6]
Therefore, If [4], then [5]..
|
{0: 'Gorillas are almost exclusively herbivorous.', 1: 'Koalas are dioecious animals that reproduce sexually.', 2: 'Cats receive food.', 3: 'Real incomes rise and generate increased demand and production.', 4: 'Box seats are part of grandstands.', 5: 'Some abrasives contain salts and actually deposit trace amounts of soluble salts on surfaces.', 6: 'A raw is nakedness.'}
| 5 |
4,695 |
["So long as nails are hard and preferably dark in color, 'most night lighting does little to improve security from crime' is true.", 'Provided that either forgiveness is the attribute of the strong or noble Gasses are colorless gasses that are extremely unreactive, we know that most night lighting does little to improve security from crime.', "Assuming the statement 'if arthritis is the most common extraintestinal manifestation of ulcerative colitis, then either nails are hard and preferably dark in color or either forgiveness is the attribute of the strong or noble Gasses are colorless gasses that are extremely unreactive' can be considered false, we know that students know people.", 'Provided that titanium is also responsible for the color of rose quartz, we know that arthritis is the most common extraintestinal manifestation of ulcerative colitis.', 'It is true that titanium is also responsible for the color of rose quartz.', "Provided that the statement 'if arthritis is the most common extraintestinal manifestation of ulcerative colitis, then either nails are hard and preferably dark in color or either forgiveness is the attribute of the strong or noble Gasses are colorless gasses that are extremely unreactive' can be considered false, we know that anarchy has a somewhat large presence on the Internet.", 'If anarchy has a somewhat large presence on the Internet, then the statement, students know people, does not hold.']
|
So long as nails are hard and preferably dark in color, 'most night lighting does little to improve security from crime' is true. Provided that either forgiveness is the attribute of the strong or noble Gasses are colorless gasses that are extremely unreactive, we know that most night lighting does little to improve security from crime. Assuming the statement 'if arthritis is the most common extraintestinal manifestation of ulcerative colitis, then either nails are hard and preferably dark in color or either forgiveness is the attribute of the strong or noble Gasses are colorless gasses that are extremely unreactive' can be considered false, we know that students know people. Provided that titanium is also responsible for the color of rose quartz, we know that arthritis is the most common extraintestinal manifestation of ulcerative colitis. It is true that titanium is also responsible for the color of rose quartz. Provided that the statement 'if arthritis is the most common extraintestinal manifestation of ulcerative colitis, then either nails are hard and preferably dark in color or either forgiveness is the attribute of the strong or noble Gasses are colorless gasses that are extremely unreactive' can be considered false, we know that anarchy has a somewhat large presence on the Internet. If anarchy has a somewhat large presence on the Internet, then the statement, students know people, does not hold.
|
most night lighting does little to improve security from crime.
|
The claim that most night lighting does little to improve security from crime is false.
|
FALSE
|
Disjunction Elimination:
Either [1] or (Either [2] or [3].). [SC1-1]
If [1], then [0].
If (Either [2] or [3].), then [0].
Therefore, [0].
[SC1-1]
Modus Ponens:
If [4], then (Either [1] or (Either [2] or [3].).). [SC1-2]
[4] [SC2-2]
Therefore, Either [1] or (Either [2] or [3].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [4], then (Either [1] or (Either [2] or [3].).).).), then [6].
If (Not (If [4], then (Either [1] or (Either [2] or [3].).).).), then (Not [6].). [SC2-3]
Therefore, If [4], then (Either [1] or (Either [2] or [3].).)..
[SC2-3]
Hypothetical Syllogism:
If (Not (If [4], then (Either [1] or (Either [2] or [3].).).).), then [7].
If [7], then (Not [6].).
Therefore, If (Not (If [4], then (Either [1] or (Either [2] or [3].).).).), then (Not [6].)..
[SC2-2]
Modus Ponens:
If [5], then [4].
[5]
Therefore, [4].
|
{0: 'Most night lighting does little to improve security from crime.', 1: 'Nails are hard and preferably dark in color.', 2: 'Forgiveness is the attribute of the strong.', 3: 'Noble Gasses are colorless gasses that are extremely unreactive.', 4: 'Arthritis is the most common extraintestinal manifestation of ulcerative colitis.', 5: 'Titanium is also responsible for the color of rose quartz.', 6: 'Students know people.', 7: 'Anarchy has a somewhat large presence on the Internet.'}
| 5 |
4,253 |
['Assuming if some algae are unicellular while others are multicellular , then medications can significantly lessen the overall impact of a virus on the family, we know that pigments are insoluble and impart colour by reflecting and imparting visible light.', 'We know that at least one of two things is true: some trees can tolerate a lot of water while others can tolerate a lot of heat and drought, or if those that suggest if some algae are unicellular while others are multicellular , then medications can significantly lessen the overall impact of a virus on the family are wrong, then corporations have tremendous power, even more so than governments today.', 'Those that suggest some trees can tolerate a lot of water while others can tolerate a lot of heat and drought are wrong.', 'There is good reason to believe that either individuals best adapted to the environment are the most successful at reproduction or maximization is increases.', 'One may reasonably assume that if individuals best adapted to the environment are the most successful at reproduction, then if those that suggest if some algae are unicellular while others are multicellular , then medications can significantly lessen the overall impact of a virus on the family are wrong, then some people mistakenly believe that corporations have tremendous power, even more so than governments today.', "Whenever it is true that big money plays an enormous role in campaign-finance because the government is involved in business, 'if maximization is increases, then if those that suggest if some algae are unicellular while others are multicellular , then medications can significantly lessen the overall impact of a virus on the family are wrong, then some people mistakenly believe that corporations have tremendous power, even more so than governments today' is true.", 'It is the case that big money plays an enormous role in campaign-finance because the government is involved in business.']
|
Assuming if some algae are unicellular while others are multicellular , then medications can significantly lessen the overall impact of a virus on the family, we know that pigments are insoluble and impart colour by reflecting and imparting visible light. We know that at least one of two things is true: some trees can tolerate a lot of water while others can tolerate a lot of heat and drought, or if those that suggest if some algae are unicellular while others are multicellular , then medications can significantly lessen the overall impact of a virus on the family are wrong, then corporations have tremendous power, even more so than governments today. Those that suggest some trees can tolerate a lot of water while others can tolerate a lot of heat and drought are wrong. There is good reason to believe that either individuals best adapted to the environment are the most successful at reproduction or maximization is increases. One may reasonably assume that if individuals best adapted to the environment are the most successful at reproduction, then if those that suggest if some algae are unicellular while others are multicellular , then medications can significantly lessen the overall impact of a virus on the family are wrong, then some people mistakenly believe that corporations have tremendous power, even more so than governments today. Whenever it is true that big money plays an enormous role in campaign-finance because the government is involved in business, 'if maximization is increases, then if those that suggest if some algae are unicellular while others are multicellular , then medications can significantly lessen the overall impact of a virus on the family are wrong, then some people mistakenly believe that corporations have tremendous power, even more so than governments today' is true. It is the case that big money plays an enormous role in campaign-finance because the government is involved in business.
|
The claim that pigments are insoluble and impart colour by reflecting and imparting visible light holds true.
|
The notion that 'pigments are insoluble and impart colour by reflecting and imparting visible light' is untrue.
|
FALSE
|
Modus Ponens:
If (If [1], then [2].), then [0].
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then [2].).), then [3]. [SC1-2]
If (Not (If [1], then [2].).), then (Not [3].). [SC2-2]
Therefore, If [1], then [2]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If [1], then [2].).), then [3].).
Not [4].
Therefore, If (Not (If [1], then [2].).), then [3]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (If (Not (If [1], then [2].).), then (Not [3].).).
If [6], then (If (Not (If [1], then [2].).), then (Not [3].).). [SC3-3]
Therefore, If (Not (If [1], then [2].).), then (Not [3].)..
[SC3-3]
Modus Ponens:
If [7], then (If [6], then (If (Not (If [1], then [2].).), then (Not [3].).).).
[7]
Therefore, If [6], then (If (Not (If [1], then [2].).), then (Not [3].).)..
|
{0: 'Pigments are insoluble and impart colour by reflecting and imparting visible light.', 1: 'Some algae are unicellular while others are multicellular .', 2: 'Medications can significantly lessen the overall impact of a virus on the family.', 3: 'Corporations have tremendous power, even more so than governments today.', 4: 'Some trees can tolerate a lot of water while others can tolerate a lot of heat and drought.', 5: 'Individuals best adapted to the environment are the most successful at reproduction.', 6: 'Maximization is increases.', 7: 'Big money plays an enormous role in campaign-finance because the government is involved in business.'}
| 5 |
4,667 |
['The statement, muslim women enjoy an exceptional and profound position in society, does not hold.', 'Once we know eagles are very large when compared to most other birds, we also know that the claim that acupuncture is an ancient system of healing working with the energy body is false.', 'It is the case that eagles are very large when compared to most other birds.', 'Once we know it is not the case that either muslim women enjoy an exceptional and profound position in society or either acupuncture is an ancient system of healing working with the energy body or twins are the norm for healthy adult cows, we also know that reflexology works the nerve endings in the hands, feet, and ears.', 'Either one or both of these statements are true: cacti have (part) sections, or vision therapy involves a medically supervised program of therapeutic procedures.', 'When cacti have (part) sections is true, it follows that we know that the claim that reflexology works the nerve endings in the hands, feet, and ears is false.', 'On the condition that vision therapy involves a medically supervised program of therapeutic procedures, it is definitely the case that we know that the claim that reflexology works the nerve endings in the hands, feet, and ears is false.']
|
The statement, muslim women enjoy an exceptional and profound position in society, does not hold. Once we know eagles are very large when compared to most other birds, we also know that the claim that acupuncture is an ancient system of healing working with the energy body is false. It is the case that eagles are very large when compared to most other birds. Once we know it is not the case that either muslim women enjoy an exceptional and profound position in society or either acupuncture is an ancient system of healing working with the energy body or twins are the norm for healthy adult cows, we also know that reflexology works the nerve endings in the hands, feet, and ears. Either one or both of these statements are true: cacti have (part) sections, or vision therapy involves a medically supervised program of therapeutic procedures. When cacti have (part) sections is true, it follows that we know that the claim that reflexology works the nerve endings in the hands, feet, and ears is false. On the condition that vision therapy involves a medically supervised program of therapeutic procedures, it is definitely the case that we know that the claim that reflexology works the nerve endings in the hands, feet, and ears is false.
|
The statement 'twins are the norm for healthy adult cows' is true.
|
The statement 'twins are the norm for healthy adult cows' is true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [2] or (Either [1] or [0].). [SC1-2]
Not [2].
Therefore, Either [1] or [0]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or (Either [1] or [0].).).), then [4].
Not [4]. [SC2-3]
Therefore, Either [2] or (Either [1] or [0].)..
[SC2-3]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [4].).
If [6], then (Not [4].).
Therefore, Not [4]..
[SC2-1]
Modus Ponens:
If [3], then (Not [1].).
[3]
Therefore, Not [1]..
|
{0: 'Twins are the norm for healthy adult cows.', 1: 'Acupuncture is an ancient system of healing working with the energy body.', 2: 'Muslim women enjoy an exceptional and profound position in society.', 3: 'Eagles are very large when compared to most other birds.', 4: 'Reflexology works the nerve endings in the hands, feet, and ears.', 5: 'Cacti have (part) sections.', 6: 'Vision therapy involves a medically supervised program of therapeutic procedures.'}
| 5 |
4,085 |
["Whenever it is true that the statement that states if some people mistakenly believe that scanners help businesses keep track of their inventory and speed service at the check-out counter, then every particle has an antiparticle which is identical except the charge is opposite is false, 'the notion that 'if isolation is a very important part of the exorcism process, then salt is a vitally needed element in the treatment of diabetics' is untrue' is true.", "It is a fact that either gods are sometimes stars and planets, sometimes they are cognitive centers or if some people mistakenly believe that scanners help businesses keep track of their inventory and speed service at the check-out counter, then the notion that 'every particle has an antiparticle which is identical except the charge is opposite' is untrue.", 'The statement that states gods are sometimes stars and planets, sometimes they are cognitive centers is false.', 'On the condition that some women also have very light bleeding, or spotting, during ovulation, it is definitely the case that if the statement that states if some people mistakenly believe that scanners help businesses keep track of their inventory and speed service at the check-out counter, then every particle has an antiparticle which is identical except the charge is opposite is false, then if isolation is a very important part of the exorcism process, then salt is a vitally needed element in the treatment of diabetics.', 'It is rational to believe that either vision is a whole brain process or some women also have very light bleeding, or spotting, during ovulation.', 'The statement, vision is a whole brain process, does not hold.']
|
Whenever it is true that the statement that states if some people mistakenly believe that scanners help businesses keep track of their inventory and speed service at the check-out counter, then every particle has an antiparticle which is identical except the charge is opposite is false, 'the notion that 'if isolation is a very important part of the exorcism process, then salt is a vitally needed element in the treatment of diabetics' is untrue' is true. It is a fact that either gods are sometimes stars and planets, sometimes they are cognitive centers or if some people mistakenly believe that scanners help businesses keep track of their inventory and speed service at the check-out counter, then the notion that 'every particle has an antiparticle which is identical except the charge is opposite' is untrue. The statement that states gods are sometimes stars and planets, sometimes they are cognitive centers is false. On the condition that some women also have very light bleeding, or spotting, during ovulation, it is definitely the case that if the statement that states if some people mistakenly believe that scanners help businesses keep track of their inventory and speed service at the check-out counter, then every particle has an antiparticle which is identical except the charge is opposite is false, then if isolation is a very important part of the exorcism process, then salt is a vitally needed element in the treatment of diabetics. It is rational to believe that either vision is a whole brain process or some women also have very light bleeding, or spotting, during ovulation. The statement, vision is a whole brain process, does not hold.
|
Many people rightly believe that scanners help businesses keep track of their inventory and speed service at the check-out counter.
|
The claim that scanners help businesses keep track of their inventory and speed service at the check-out counter is false.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then [1].).), then (If [3], then [4].). [SC1-2]
If (Not (If (Not [0].), then [1].).), then (Not (If [3], then [4].).).
Therefore, If (Not [0].), then [1]..
[SC1-2]
Modus Ponens:
If [5], then (If (Not (If (Not [0].), then [1].).), then (If [3], then [4].).).
[5] [SC2-3]
Therefore, If (Not (If (Not [0].), then [1].).), then (If [3], then [4].)..
[SC2-3]
Disjunctive Syllogism:
Either [6] or [5].
Not [6].
Therefore, [5].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If (Not [0].), then (Not [1].).).
Not [2].
Therefore, If (Not [0].), then (Not [1].)..
|
{0: 'Scanners help businesses keep track of their inventory and speed service at the check-out counter.', 1: 'Every particle has an antiparticle which is identical except the charge is opposite.', 2: 'Gods are sometimes stars and planets, sometimes they are cognitive centers.', 3: 'Isolation is a very important part of the exorcism process.', 4: 'Salt is a vitally needed element in the treatment of diabetics.', 5: 'Some women also have very light bleeding, or spotting, during ovulation.', 6: 'Vision is a whole brain process.'}
| 5 |
4,969 |
["On the condition that the notion that 'either inflation reduces the buying power of money or if some babies seem to adapt best to the bottle when sleeping, then generators use principles' is untrue, it is definitely the case that teenagers Living with teenagers can sometimes be like living in another world.", "When the notion that 'either inflation reduces the buying power of money or if some babies seem to adapt best to the bottle when sleeping, then generators use principles' is untrue is true, it follows that it is a common misconception that teenagers Living with teenagers can sometimes be like living in another world.", "Once we know some people mistakenly believe that if inflation reduces the buying power of money, then the claim that many hunters prefer to owl call early in the morning and use crow callers after the sun is up does not correspond with reality, we also know that the statement, devoted parents can be a loving and supporting force in a child's life, does not hold.", 'If if most bikes have wheels, then american women understand facts, then if if some babies seem to adapt best to the bottle when sleeping, then generators use principles, then the claim that many hunters prefer to owl call early in the morning and use crow callers after the sun is up does not correspond with reality.', 'One may reasonably assume that if most bikes have wheels, then american women understand facts.', 'Given that some people mistakenly believe that if inflation reduces the buying power of money, then the claim that many hunters prefer to owl call early in the morning and use crow callers after the sun is up does not correspond with reality, it can be inferred that insects are bugs.', "So long as insects are bugs, 'devoted parents can be a loving and supporting force in a child's life' is true."]
|
On the condition that the notion that 'either inflation reduces the buying power of money or if some babies seem to adapt best to the bottle when sleeping, then generators use principles' is untrue, it is definitely the case that teenagers Living with teenagers can sometimes be like living in another world. When the notion that 'either inflation reduces the buying power of money or if some babies seem to adapt best to the bottle when sleeping, then generators use principles' is untrue is true, it follows that it is a common misconception that teenagers Living with teenagers can sometimes be like living in another world. Once we know some people mistakenly believe that if inflation reduces the buying power of money, then the claim that many hunters prefer to owl call early in the morning and use crow callers after the sun is up does not correspond with reality, we also know that the statement, devoted parents can be a loving and supporting force in a child's life, does not hold. If if most bikes have wheels, then american women understand facts, then if if some babies seem to adapt best to the bottle when sleeping, then generators use principles, then the claim that many hunters prefer to owl call early in the morning and use crow callers after the sun is up does not correspond with reality. One may reasonably assume that if most bikes have wheels, then american women understand facts. Given that some people mistakenly believe that if inflation reduces the buying power of money, then the claim that many hunters prefer to owl call early in the morning and use crow callers after the sun is up does not correspond with reality, it can be inferred that insects are bugs. So long as insects are bugs, 'devoted parents can be a loving and supporting force in a child's life' is true.
|
The claim that many hunters prefer to owl call early in the morning and use crow callers after the sun is up does not correspond with reality.
|
The claim that hunters shoot mammals has no merit.
|
Uncertain
|
Disjunction Elimination:
Either [1] or (If [2], then [3].). [SC1-1]
If [1], then (Not [0].). [SC2-1]
If (If [2], then [3].), then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or (If [2], then [3].).).), then [4].
If (Not (Either [1] or (If [2], then [3].).).), then (Not [4].).
Therefore, Either [1] or (If [2], then [3].)..
[SC2-1]
Reductio Ad Absurdum:
If (Not (If [1], then (Not [0].).).), then [7]. [SC1-2]
If (Not (If [1], then (Not [0].).).), then (Not [7].).
Therefore, If [1], then (Not [0].)..
[SC1-2]
Hypothetical Syllogism:
If (Not (If [1], then (Not [0].).).), then [8].
If [8], then [7].
Therefore, If (Not (If [1], then (Not [0].).).), then [7]..
[SC3-1]
Modus Ponens:
If (If [5], then [6].), then (If (If [2], then [3].), then (Not [0].).).
If [5], then [6].
Therefore, If (If [2], then [3].), then (Not [0].)..
|
{0: 'Many hunters prefer to owl call early in the morning and use crow callers after the sun is up.', 1: 'Inflation reduces the buying power of money.', 2: 'Some babies seem to adapt best to the bottle when sleeping.', 3: 'Generators use principles.', 4: 'Teenagers Living with teenagers can sometimes be like living in another world.', 5: 'Most bikes have wheels.', 6: 'American women understand facts.', 7: "Devoted parents can be a loving and supporting force in a child's life.", 8: 'Insects are bugs.'}
| 5 |
4,075 |
['It is rational to believe that either detoxification is a treatment or some dingos become major predators.', "At least one of two things is true: domesticate yaks have ranges, or either skeletal muscle comprises about half of a person's lean body weight or the statement, detoxification is a treatment, does not hold.", 'The statement that states domesticate yaks have ranges is false.', 'The statement, hard frost damages leaves, does not hold.', "Should it be the case that skeletal muscle comprises about half of a person's lean body weight, it follows that electronic communication sends instant messages across the world.", 'On the condition that electronic communication sends instant messages across the world, it is definitely the case that hard frost damages leaves.']
|
It is rational to believe that either detoxification is a treatment or some dingos become major predators. At least one of two things is true: domesticate yaks have ranges, or either skeletal muscle comprises about half of a person's lean body weight or the statement, detoxification is a treatment, does not hold. The statement that states domesticate yaks have ranges is false. The statement, hard frost damages leaves, does not hold. Should it be the case that skeletal muscle comprises about half of a person's lean body weight, it follows that electronic communication sends instant messages across the world. On the condition that electronic communication sends instant messages across the world, it is definitely the case that hard frost damages leaves.
|
The claim that some dingos become major predators is true.
|
The claim that some dingos become major predators is false.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunctive Syllogism:
Either [2] or (Not [1].). [SC1-2]
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (Either [2] or (Not [1].).).
Not [3].
Therefore, Either [2] or (Not [1].)..
[SC2-2]
Modus Tonens:
If [2], then [4]. [SC1-3]
Not [4].
Therefore, Not [2]..
[SC1-3]
Hypothetical Syllogism:
If [2], then [5].
If [5], then [4].
Therefore, If [2], then [4]..
|
{0: 'Some dingos become major predators.', 1: 'Detoxification is a treatment.', 2: "Skeletal muscle comprises about half of a person's lean body weight.", 3: 'Domesticate yaks have ranges.', 4: 'Hard frost damages leaves.', 5: 'Electronic communication sends instant messages across the world.'}
| 5 |
4,786 |
["The statement that 'if organic carbon comes from living or once-living things, including fossil fuels, then some plastic has carbon' is incorrect.", 'On the condition that most embryos go through various stages, it is definitely the case that the claim that most reptiles exist on earth does not reflect reality.', 'Given that most bodily functions require energy, it can be inferred that the claim that most reptiles exist on earth does not reflect reality.', "Should it be the case that the statement that 'either if organic carbon comes from living or once-living things, including fossil fuels, then some plastic has carbon or either most reptiles exist on earth or either charcoal gives off large quantities of carbon monoxide while burning or basophils are present in blood' is incorrect, it follows that some cannon bones are part of asses.", 'It is not the case that some cannon bones are part of asses.', 'On the condition that the claim that either most embryos go through various stages or most bodily functions require energy does not reflect reality, it is definitely the case that gems can speak louder than words.', 'Those that suggest gems can speak louder than words are wrong.']
|
The statement that 'if organic carbon comes from living or once-living things, including fossil fuels, then some plastic has carbon' is incorrect. On the condition that most embryos go through various stages, it is definitely the case that the claim that most reptiles exist on earth does not reflect reality. Given that most bodily functions require energy, it can be inferred that the claim that most reptiles exist on earth does not reflect reality. Should it be the case that the statement that 'either if organic carbon comes from living or once-living things, including fossil fuels, then some plastic has carbon or either most reptiles exist on earth or either charcoal gives off large quantities of carbon monoxide while burning or basophils are present in blood' is incorrect, it follows that some cannon bones are part of asses. It is not the case that some cannon bones are part of asses. On the condition that the claim that either most embryos go through various stages or most bodily functions require energy does not reflect reality, it is definitely the case that gems can speak louder than words. Those that suggest gems can speak louder than words are wrong.
|
It is rational to believe that either charcoal gives off large quantities of carbon monoxide while burning or basophils are present in blood.
|
It is not true that either charcoal gives off large quantities of carbon monoxide while burning or basophils are present in blood.
|
FALSE
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Disjunctive Syllogism:
Either (If [5], then [6].) or (Either [2] or (Either [0] or [1].).). [SC1-2]
Not (If [5], then [6].).
Therefore, Either [2] or (Either [0] or [1].)..
[SC1-2]
Modus Tonens:
If (Not (Either (If [5], then [6].) or (Either [2] or (Either [0] or [1].).).).), then [8].
Not [8].
Therefore, Either (If [5], then [6].) or (Either [2] or (Either [0] or [1].).)..
[SC2-1]
Disjunction Elimination:
Either [3] or [4]. [SC1-2]
If [3], then (Not [2].).
If [4], then (Not [2].).
Therefore, Not [2]..
[SC1-2]
Modus Tonens:
If (Not (Either [3] or [4].).), then [7].
Not [7].
Therefore, Either [3] or [4]..
|
{0: 'Charcoal gives off large quantities of carbon monoxide while burning.', 1: 'Basophils are present in blood.', 2: 'Most reptiles exist on earth.', 3: 'Most embryos go through various stages.', 4: 'Most bodily functions require energy.', 5: 'Organic carbon comes from living or once-living things, including fossil fuels.', 6: 'Some plastic has carbon.', 7: 'Gems can speak louder than words.', 8: 'Some cannon bones are part of asses.'}
| 5 |
4,658 |
['One may reasonably assume that if the claim that if information literacy includes the skills needed to find, evaluate, and communicate information, then children definitely recover more quickly than adults from hip and knee fractures has no merit, then some shrews consume small animals.', 'The statement, some shrews consume small animals, does not hold.', 'Provided that children definitely recover more quickly than adults from hip and knee fractures, we know that food gives people something to do with their hands.', "Provided that food gives people something to do with their hands, we know that the statement 'either magnesium works very closely with calcium or hair follicles rise from the dermis layer' can be considered false.", 'One may reasonably assume that if lubricants known as hydraulic fluid are used as the working fluid in hydrostatic power transmission, then if food gives people something to do with their hands, then either magnesium works very closely with calcium or hair follicles rise from the dermis layer.', 'We can assume that lubricants known as hydraulic fluid are used as the working fluid in hydrostatic power transmission.']
|
One may reasonably assume that if the claim that if information literacy includes the skills needed to find, evaluate, and communicate information, then children definitely recover more quickly than adults from hip and knee fractures has no merit, then some shrews consume small animals. The statement, some shrews consume small animals, does not hold. Provided that children definitely recover more quickly than adults from hip and knee fractures, we know that food gives people something to do with their hands. Provided that food gives people something to do with their hands, we know that the statement 'either magnesium works very closely with calcium or hair follicles rise from the dermis layer' can be considered false. One may reasonably assume that if lubricants known as hydraulic fluid are used as the working fluid in hydrostatic power transmission, then if food gives people something to do with their hands, then either magnesium works very closely with calcium or hair follicles rise from the dermis layer. We can assume that lubricants known as hydraulic fluid are used as the working fluid in hydrostatic power transmission.
|
The claim that information literacy includes the skills needed to find, evaluate, and communicate information does not correspond with reality.
|
The idea that information literacy includes the skills needed to find, evaluate, and communicate information is true.
|
FALSE
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [1].).), then [3].
Not [3].
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If [2], then (Either [4] or [5].). [SC1-3]
If [2], then (Not (Either [4] or [5].).).
Therefore, Not [2]..
[SC1-3]
Modus Ponens:
If [6], then (If [2], then (Either [4] or [5].).).
[6]
Therefore, If [2], then (Either [4] or [5].)..
|
{0: 'Information literacy includes the skills needed to find, evaluate, and communicate information.', 1: 'Children definitely recover more quickly than adults from hip and knee fractures.', 2: 'Food gives people something to do with their hands.', 3: 'Some shrews consume small animals.', 4: 'Magnesium works very closely with calcium.', 5: 'Hair follicles rise from the dermis layer.', 6: 'Lubricants known as hydraulic fluid are used as the working fluid in hydrostatic power transmission.'}
| 5 |
4,465 |
['It is not true that helminths are a group of evolutionary unrelated organisms which share a similar form.', 'Given that we know that the claim that if either some operating systems support more than one type of encryption or small pigs benefit from split nursing, then sand is softer than concrete, but it provides an uneven shifting base is false, it can be inferred that cotton is grown and protected with the aid of harmful pesticides.', "The statement that 'cotton is grown and protected with the aid of harmful pesticides' is incorrect.", 'We know that either hearing aids come with a long string attached in case they go in too far or if stomachs perform functions, then sand is softer than concrete, but it provides an uneven shifting base.', 'The statement, hearing aids come with a long string attached in case they go in too far, does not hold.', 'There is good reason to believe that either many medications can result in hematuria or spotted owls are known to be relatively tame birds, often unfazed by the presence of humans.', 'Once we know many medications can result in hematuria, we also know that helminths are a group of evolutionary unrelated organisms which share a similar form.', 'If spotted owls are known to be relatively tame birds, often unfazed by the presence of humans, then either either some operating systems support more than one type of encryption or small pigs benefit from split nursing or stomachs perform functions.']
|
It is not true that helminths are a group of evolutionary unrelated organisms which share a similar form. Given that we know that the claim that if either some operating systems support more than one type of encryption or small pigs benefit from split nursing, then sand is softer than concrete, but it provides an uneven shifting base is false, it can be inferred that cotton is grown and protected with the aid of harmful pesticides. The statement that 'cotton is grown and protected with the aid of harmful pesticides' is incorrect. We know that either hearing aids come with a long string attached in case they go in too far or if stomachs perform functions, then sand is softer than concrete, but it provides an uneven shifting base. The statement, hearing aids come with a long string attached in case they go in too far, does not hold. There is good reason to believe that either many medications can result in hematuria or spotted owls are known to be relatively tame birds, often unfazed by the presence of humans. Once we know many medications can result in hematuria, we also know that helminths are a group of evolutionary unrelated organisms which share a similar form. If spotted owls are known to be relatively tame birds, often unfazed by the presence of humans, then either either some operating systems support more than one type of encryption or small pigs benefit from split nursing or stomachs perform functions.
|
It is rational to agree that sand is softer than concrete, but it provides an uneven shifting base.
|
It is rational to agree that sand is softer than concrete, but it provides an uneven shifting base.
|
TRUE
|
Disjunction Elimination:
Either (Either [1] or [2].) or [3]. [SC1-1]
If (Either [1] or [2].), then [0]. [SC2-1]
If [3], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [5] or (Either (Either [1] or [2].) or [3].). [SC1-2]
Not [5].
Therefore, Either (Either [1] or [2].) or [3]..
[SC1-2]
Constructive Dilemma:
Either [7] or [8].
If [7], then [5].
If [8], then (Either (Either [1] or [2].) or [3].).
Therefore, Either [5] or (Either (Either [1] or [2].) or [3].)..
[SC2-1]
Modus Tonens:
If (Not (If (Either [1] or [2].), then [0].).), then [6].
Not [6].
Therefore, If (Either [1] or [2].), then [0]..
[SC3-1]
Disjunctive Syllogism:
Either [4] or (If [3], then [0].).
Not [4].
Therefore, If [3], then [0]..
|
{0: 'Sand is softer than concrete, but it provides an uneven shifting base.', 1: 'Some operating systems support more than one type of encryption.', 2: 'Small pigs benefit from split nursing.', 3: 'Stomachs perform functions.', 4: 'Hearing aids come with a long string attached in case they go in too far.', 5: 'Helminths are a group of evolutionary unrelated organisms which share a similar form.', 6: 'Cotton is grown and protected with the aid of harmful pesticides.', 7: 'Many medications can result in hematuria.', 8: 'Spotted owls are known to be relatively tame birds, often unfazed by the presence of humans.'}
| 5 |
4,920 |
['On the condition that it is not true that if trace elements are elements present in the environment and organisms at low concentrations, then severe droughts kill crops, shrink lakes, and dry topsoil until it is carried away by the wind, it is definitely the case that either pineapple plants have pretty flowers or force is that which originates or arrests motion.', 'Should it be the case that it is not true that if trace elements are elements present in the environment and organisms at low concentrations, then severe droughts kill crops, shrink lakes, and dry topsoil until it is carried away by the wind, it follows that it is not the case that either pineapple plants have pretty flowers or force is that which originates or arrests motion.', 'On the condition that severe droughts kill crops, shrink lakes, and dry topsoil until it is carried away by the wind, it is definitely the case that some bats invade territory.', 'Some people mistakenly believe that exotic species are dangers on the biodiversity front.', "So long as the claim that if some bats invade territory, then exotic species are dangers on the biodiversity front does not reflect reality, 'agricultural producers invest vast amounts of capital and labor' is true.", "So long as the claim that if some bats invade territory, then exotic species are dangers on the biodiversity front does not reflect reality, 'the statement that states agricultural producers invest vast amounts of capital and labor is false' is true."]
|
On the condition that it is not true that if trace elements are elements present in the environment and organisms at low concentrations, then severe droughts kill crops, shrink lakes, and dry topsoil until it is carried away by the wind, it is definitely the case that either pineapple plants have pretty flowers or force is that which originates or arrests motion. Should it be the case that it is not true that if trace elements are elements present in the environment and organisms at low concentrations, then severe droughts kill crops, shrink lakes, and dry topsoil until it is carried away by the wind, it follows that it is not the case that either pineapple plants have pretty flowers or force is that which originates or arrests motion. On the condition that severe droughts kill crops, shrink lakes, and dry topsoil until it is carried away by the wind, it is definitely the case that some bats invade territory. Some people mistakenly believe that exotic species are dangers on the biodiversity front. So long as the claim that if some bats invade territory, then exotic species are dangers on the biodiversity front does not reflect reality, 'agricultural producers invest vast amounts of capital and labor' is true. So long as the claim that if some bats invade territory, then exotic species are dangers on the biodiversity front does not reflect reality, 'the statement that states agricultural producers invest vast amounts of capital and labor is false' is true.
|
The claim that trace elements are elements present in the environment and organisms at low concentrations has no merit.
|
The claim that trace elements are critically important for our health and for the development of the brain is false.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [0], then [1].).), then (Either [3] or [4].).
If (Not (If [0], then [1].).), then (Not (Either [3] or [4].).).
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If [1], then [2].
Not [2]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If [2], then [5]. [SC1-3]
Not [5].
Therefore, Not [2]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [2], then [5].).), then [6].
If (Not (If [2], then [5].).), then (Not [6].).
Therefore, If [2], then [5]..
|
{0: 'Trace elements are elements present in the environment and organisms at low concentrations.', 1: 'Severe droughts kill crops, shrink lakes, and dry topsoil until it is carried away by the wind.', 2: 'Some bats invade territory.', 3: 'Pineapple plants have pretty flowers.', 4: 'Force is that which originates or arrests motion.', 5: 'Exotic species are dangers on the biodiversity front.', 6: 'Agricultural producers invest vast amounts of capital and labor.'}
| 5 |
4,038 |
["So long as boards are dashboards, 'sticklebacks obtain oxygen through countercurrent exchange in the gills' is true.", 'On the condition that boards are dashboards, it is definitely the case that convection is another way heat moves through windows.', 'The claim that all grains produce tillers, although the tillers on corn are called suckers does not correspond with reality.', 'Given that bluefishes have (part) nuclei, it can be inferred that all grains produce tillers, although the tillers on corn are called suckers.', 'Assuming cholesterol has many important functions in the body, we know that if the claim that if convection is another way heat moves through windows, then we know that the claim that sticklebacks obtain oxygen through countercurrent exchange in the gills is false does not correspond with reality, then bluefishes have (part) nuclei.', 'The statement that states cholesterol has many important functions in the body is right.']
|
So long as boards are dashboards, 'sticklebacks obtain oxygen through countercurrent exchange in the gills' is true. On the condition that boards are dashboards, it is definitely the case that convection is another way heat moves through windows. The claim that all grains produce tillers, although the tillers on corn are called suckers does not correspond with reality. Given that bluefishes have (part) nuclei, it can be inferred that all grains produce tillers, although the tillers on corn are called suckers. Assuming cholesterol has many important functions in the body, we know that if the claim that if convection is another way heat moves through windows, then we know that the claim that sticklebacks obtain oxygen through countercurrent exchange in the gills is false does not correspond with reality, then bluefishes have (part) nuclei. The statement that states cholesterol has many important functions in the body is right.
|
It is not the case that boards are dashboards.
|
It is not the case that boards are dashboards.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Hypothetical Syllogism:
If [0], then [2].
If [2], then (Not [1].). [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (Not [1].).).), then [3]. [SC1-3]
Not [3].
Therefore, If [2], then (Not [1].)..
[SC1-3]
Hypothetical Syllogism:
If (Not (If [2], then (Not [1].).).), then [4]. [SC1-4]
If [4], then [3].
Therefore, If (Not (If [2], then (Not [1].).).), then [3]..
[SC1-4]
Modus Ponens:
If [5], then (If (Not (If [2], then (Not [1].).).), then [4].).
[5]
Therefore, If (Not (If [2], then (Not [1].).).), then [4]..
|
{0: 'Boards are dashboards.', 1: 'Sticklebacks obtain oxygen through countercurrent exchange in the gills.', 2: 'Convection is another way heat moves through windows.', 3: 'All grains produce tillers, although the tillers on corn are called suckers.', 4: 'Bluefishes have (part) nuclei.', 5: 'Cholesterol has many important functions in the body.'}
| 5 |
4,944 |
['The statement that states searobins have large bony heads with ridges and spines is false.', 'At least one of two things is true: either humans even use technology to adapt or some insects resemble other insects or parts of their environment, or krill feed whales.', 'One may reasonably assume that if either humans even use technology to adapt or some insects resemble other insects or parts of their environment, then if response time is a function of the number of items in working memory, then the claim that an isometric exercise is an exercise does not reflect reality.', 'Given that krill feed whales, it can be inferred that if response time is a function of the number of items in working memory, then the claim that an isometric exercise is an exercise does not reflect reality.', 'One may reasonably assume that if attraction isa force, then scientific understanding based on the experimental method has a history of only three hundred years.', 'Once we know scientific understanding based on the experimental method has a history of only three hundred years, we also know that the claim that an isometric exercise is an exercise does not reflect reality.', 'Once we know the claim that either response time is a function of the number of items in working memory or attraction isa force is false, we also know that engineers are operators.', 'Provided that engineers are operators, we know that searobins have large bony heads with ridges and spines.']
|
The statement that states searobins have large bony heads with ridges and spines is false. At least one of two things is true: either humans even use technology to adapt or some insects resemble other insects or parts of their environment, or krill feed whales. One may reasonably assume that if either humans even use technology to adapt or some insects resemble other insects or parts of their environment, then if response time is a function of the number of items in working memory, then the claim that an isometric exercise is an exercise does not reflect reality. Given that krill feed whales, it can be inferred that if response time is a function of the number of items in working memory, then the claim that an isometric exercise is an exercise does not reflect reality. One may reasonably assume that if attraction isa force, then scientific understanding based on the experimental method has a history of only three hundred years. Once we know scientific understanding based on the experimental method has a history of only three hundred years, we also know that the claim that an isometric exercise is an exercise does not reflect reality. Once we know the claim that either response time is a function of the number of items in working memory or attraction isa force is false, we also know that engineers are operators. Provided that engineers are operators, we know that searobins have large bony heads with ridges and spines.
|
The claim that an isometric exercise is an exercise does not reflect reality.
|
It is the case that an isometric exercise is an exercise.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then (Not [0].). [SC2-1]
If [2], then (Not [0].). [SC3-1]
Therefore, Not [0]..
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [7]. [SC1-2]
Not [7].
Therefore, Either [1] or [2]..
[SC1-2]
Hypothetical Syllogism:
If (Not (Either [1] or [2].).), then [8].
If [8], then [7].
Therefore, If (Not (Either [1] or [2].).), then [7]..
[SC2-1]
Disjunction Elimination:
Either (Either [3] or [4].) or [5].
If (Either [3] or [4].), then (If [1], then (Not [0].).).
If [5], then (If [1], then (Not [0].).).
Therefore, If [1], then (Not [0].)..
[SC3-1]
Hypothetical Syllogism:
If [2], then [6].
If [6], then (Not [0].).
Therefore, If [2], then (Not [0].)..
|
{0: 'An isometric exercise is an exercise.', 1: 'Response time is a function of the number of items in working memory.', 2: 'Attraction isa force.', 3: 'Humans even use technology to adapt.', 4: 'Some insects resemble other insects or parts of their environment.', 5: 'Krill feed whales.', 6: 'Scientific understanding based on the experimental method has a history of only three hundred years.', 7: 'Searobins have large bony heads with ridges and spines.', 8: 'Engineers are operators.'}
| 5 |
4,725 |
['It is rational to believe that either liposomes are but one way of putting DNA into living cells or the claim that most rainfall causes growth does not reflect reality.', 'Should it be the case that the claim that if liposomes are but one way of putting DNA into living cells, then either human bones lay just centimeters from the surface or crystals come in a variety of shapes and sizes does not correspond with reality, it follows that either cassowaries have (part) corpi or individuals have instinct.', 'Some people mistakenly believe that either cassowaries have (part) corpi or individuals have instinct.', 'Given that african elephants have ribs, it can be inferred that the claim that either human bones lay just centimeters from the surface or crystals come in a variety of shapes and sizes is false.', "So long as liposomes are but one way of putting DNA into living cells, 'universal motors are popular in many appliances because of their flexibility' is true.", 'Provided that universal motors are popular in many appliances because of their flexibility, we know that african elephants have ribs.']
|
It is rational to believe that either liposomes are but one way of putting DNA into living cells or the claim that most rainfall causes growth does not reflect reality. Should it be the case that the claim that if liposomes are but one way of putting DNA into living cells, then either human bones lay just centimeters from the surface or crystals come in a variety of shapes and sizes does not correspond with reality, it follows that either cassowaries have (part) corpi or individuals have instinct. Some people mistakenly believe that either cassowaries have (part) corpi or individuals have instinct. Given that african elephants have ribs, it can be inferred that the claim that either human bones lay just centimeters from the surface or crystals come in a variety of shapes and sizes is false. So long as liposomes are but one way of putting DNA into living cells, 'universal motors are popular in many appliances because of their flexibility' is true. Provided that universal motors are popular in many appliances because of their flexibility, we know that african elephants have ribs.
|
The claim that most rainfall causes growth does not reflect reality.
|
The statement that 'rainfall is weather' is incorrect.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].).
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC2-1]
Reductio Ad Absurdum:
If [1], then (Either [2] or [3].). [SC1-2]
If [1], then (Not (Either [2] or [3].).). [SC2-2]
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then (Either [2] or [3].).).), then (Either [5] or [6].).
Not (Either [5] or [6].).
Therefore, If [1], then (Either [2] or [3].)..
[SC2-2]
Hypothetical Syllogism:
If [1], then [4]. [SC1-3]
If [4], then (Not (Either [2] or [3].).).
Therefore, If [1], then (Not (Either [2] or [3].).)..
[SC1-3]
Hypothetical Syllogism:
If [1], then [7].
If [7], then [4].
Therefore, If [1], then [4]..
|
{0: 'Most rainfall causes growth.', 1: 'Liposomes are but one way of putting DNA into living cells.', 2: 'Human bones lay just centimeters from the surface.', 3: 'Crystals come in a variety of shapes and sizes.', 4: 'African elephants have ribs.', 5: 'Cassowaries have (part) corpi.', 6: 'Individuals have instinct.', 7: 'Universal motors are popular in many appliances because of their flexibility.'}
| 5 |
4,436 |
["On the condition that the statement that 'either gray lenses don t distort colors, such as traffic lights or automatic writing is a method that many people enjoy' is incorrect, it is definitely the case that salamanders occupy sites.", "When the statement 'if gray lenses don t distort colors, such as traffic lights, then colonial organisms have bilateral symmetry' can be considered false is true, it follows that encantos products contain no mineral oils, synthetic colorings, or artificial preservatives.", 'The claim that encantos products contain no mineral oils, synthetic colorings, or artificial preservatives is false.', 'Provided that automatic writing is a method that many people enjoy, we know that pure tungsten is relatively soft and can be cut with a hacksaw.', 'If pure tungsten is relatively soft and can be cut with a hacksaw, then colonial organisms have bilateral symmetry.', 'Provided that salamanders occupy sites, we know that patients have thumbs.', 'Some people mistakenly believe that patients have thumbs.']
|
On the condition that the statement that 'either gray lenses don t distort colors, such as traffic lights or automatic writing is a method that many people enjoy' is incorrect, it is definitely the case that salamanders occupy sites. When the statement 'if gray lenses don t distort colors, such as traffic lights, then colonial organisms have bilateral symmetry' can be considered false is true, it follows that encantos products contain no mineral oils, synthetic colorings, or artificial preservatives. The claim that encantos products contain no mineral oils, synthetic colorings, or artificial preservatives is false. Provided that automatic writing is a method that many people enjoy, we know that pure tungsten is relatively soft and can be cut with a hacksaw. If pure tungsten is relatively soft and can be cut with a hacksaw, then colonial organisms have bilateral symmetry. Provided that salamanders occupy sites, we know that patients have thumbs. Some people mistakenly believe that patients have thumbs.
|
It is a simple truth that colonial organisms have bilateral symmetry.
|
Colonial organisms are the result of many identical individuals joining together to form a colony.
|
Uncertain
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Modus Tonens:
If (Not (Either [1] or [2].).), then [3].
Not [3]. [SC2-2]
Therefore, Either [1] or [2]..
[SC2-2]
Modus Tonens:
If [3], then [6].
Not [6].
Therefore, Not [3]..
[SC2-1]
Modus Tonens:
If (Not (If [1], then [0].).), then [5].
Not [5].
Therefore, If [1], then [0]..
[SC3-1]
Hypothetical Syllogism:
If [2], then [4].
If [4], then [0].
Therefore, If [2], then [0]..
|
{0: 'Colonial organisms have bilateral symmetry.', 1: 'Gray lenses don t distort colors, such as traffic lights.', 2: 'Automatic writing is a method that many people enjoy.', 3: 'Salamanders occupy sites.', 4: 'Pure tungsten is relatively soft and can be cut with a hacksaw.', 5: 'Encantos products contain no mineral oils, synthetic colorings, or artificial preservatives.', 6: 'Patients have thumbs.'}
| 5 |
4,140 |
['At least one of two things is true: if sepsis remains a major cause of potentially preventable mortality, then cardiovascular health promotes cardiovascular health, or sociology is the study of human group life.', 'Should it be the case that sociology is the study of human group life, it follows that it is not true that men suffer from a kind of stress syndrome.', "So long as if sepsis remains a major cause of potentially preventable mortality, then cardiovascular health promotes cardiovascular health, 'either cookies are small bits of information that can be placed onto the hard drive of a Web site visitor or protractors have (part) sections' is true.", 'Should it be the case that some people mistakenly believe that if the claim that if either cookies are small bits of information that can be placed onto the hard drive of a Web site visitor or protractors have (part) sections, then it is not true that men suffer from a kind of stress syndrome has no merit, then vitamin E appears to play some part in delaying neuronal dysfunction, it follows that some wood has structural properties.', 'The claim that some wood has structural properties is false.', 'Provided that vitamin E appears to play some part in delaying neuronal dysfunction, we know that bacteria can also adapt to new environments.', "The statement 'bacteria can also adapt to new environments' can be considered false."]
|
At least one of two things is true: if sepsis remains a major cause of potentially preventable mortality, then cardiovascular health promotes cardiovascular health, or sociology is the study of human group life. Should it be the case that sociology is the study of human group life, it follows that it is not true that men suffer from a kind of stress syndrome. So long as if sepsis remains a major cause of potentially preventable mortality, then cardiovascular health promotes cardiovascular health, 'either cookies are small bits of information that can be placed onto the hard drive of a Web site visitor or protractors have (part) sections' is true. Should it be the case that some people mistakenly believe that if the claim that if either cookies are small bits of information that can be placed onto the hard drive of a Web site visitor or protractors have (part) sections, then it is not true that men suffer from a kind of stress syndrome has no merit, then vitamin E appears to play some part in delaying neuronal dysfunction, it follows that some wood has structural properties. The claim that some wood has structural properties is false. Provided that vitamin E appears to play some part in delaying neuronal dysfunction, we know that bacteria can also adapt to new environments. The statement 'bacteria can also adapt to new environments' can be considered false.
|
It is not true that men suffer from a kind of stress syndrome.
|
The claim that some men live out their failed careers via their children is false.
|
Uncertain
|
Disjunction Elimination:
Either (If [1], then [2].) or [3].
If (If [1], then [2].), then (Not [0].). [SC2-1]
If [3], then (Not [0].).
Therefore, Not [0]..
[SC2-1]
Hypothetical Syllogism:
If (If [1], then [2].), then (Either [4] or [5].).
If (Either [4] or [5].), then (Not [0].). [SC2-2]
Therefore, If (If [1], then [2].), then (Not [0].)..
[SC2-2]
Modus Tonens:
If (Not (If (Either [4] or [5].), then (Not [0].).).), then [6]. [SC1-3]
Not [6]. [SC2-3]
Therefore, If (Either [4] or [5].), then (Not [0].)..
[SC1-3]
Modus Tonens:
If (Not (If (Not (If (Either [4] or [5].), then (Not [0].).).), then [6].).), then [7].
Not [7].
Therefore, If (Not (If (Either [4] or [5].), then (Not [0].).).), then [6]..
[SC2-3]
Modus Tonens:
If [6], then [8].
Not [8].
Therefore, Not [6]..
|
{0: 'Men suffer from a kind of stress syndrome.', 1: 'Sepsis remains a major cause of potentially preventable mortality.', 2: 'Cardiovascular health promotes cardiovascular health.', 3: 'Sociology is the study of human group life.', 4: 'Cookies are small bits of information that can be placed onto the hard drive of a Web site visitor.', 5: 'Protractors have (part) sections.', 6: 'Vitamin E appears to play some part in delaying neuronal dysfunction.', 7: 'Some wood has structural properties.', 8: 'Bacteria can also adapt to new environments.'}
| 5 |
4,818 |
['The statement that states smoking is a major cause of heart and blood vessel disease is false.', "Whenever it is true that the claim that if the claim that if diets include cholesterol food, then students review lessons has no merit, then smoking is a major cause of heart and blood vessel disease does not correspond with reality, 'graduates see graduates' is true.", 'Once we know forms carbamate upon exposure to air, which is corrosive when combined with moisture, we also know that either lizards live in habitats or if the claim that if the claim that if diets include cholesterol food, then students review lessons has no merit, then smoking is a major cause of heart and blood vessel disease does not correspond with reality, then it is a common misconception that graduates see graduates.', 'It is true that forms carbamate upon exposure to air, which is corrosive when combined with moisture.', 'We know that at least one of two things is true: most colonies start to disperse soon after the young are weaned, or bears has-part hearts.', "Assuming most colonies start to disperse soon after the young are weaned, we know that the notion that 'lizards live in habitats' is untrue.", "Whenever it is true that bears has-part hearts, 'the notion that 'lizards live in habitats' is untrue' is true."]
|
The statement that states smoking is a major cause of heart and blood vessel disease is false. Whenever it is true that the claim that if the claim that if diets include cholesterol food, then students review lessons has no merit, then smoking is a major cause of heart and blood vessel disease does not correspond with reality, 'graduates see graduates' is true. Once we know forms carbamate upon exposure to air, which is corrosive when combined with moisture, we also know that either lizards live in habitats or if the claim that if the claim that if diets include cholesterol food, then students review lessons has no merit, then smoking is a major cause of heart and blood vessel disease does not correspond with reality, then it is a common misconception that graduates see graduates. It is true that forms carbamate upon exposure to air, which is corrosive when combined with moisture. We know that at least one of two things is true: most colonies start to disperse soon after the young are weaned, or bears has-part hearts. Assuming most colonies start to disperse soon after the young are weaned, we know that the notion that 'lizards live in habitats' is untrue. Whenever it is true that bears has-part hearts, 'the notion that 'lizards live in habitats' is untrue' is true.
|
Should it be the case that diets include cholesterol food, it follows that students review lessons.
|
When diets help fundamental problems is true, it follows that students review lessons.
|
Uncertain
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2]. [SC1-1]
Not [2].
Therefore, If [0], then [1]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not (If [0], then [1].).), then [2].).), then [3].
If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [3].). [SC2-2]
Therefore, If (Not (If [0], then [1].).), then [2]..
[SC2-2]
Disjunctive Syllogism:
Either [4] or (If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [3].).). [SC1-3]
Not [4]. [SC2-3]
Therefore, If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [3].)..
[SC1-3]
Modus Ponens:
If [5], then (Either [4] or (If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [3].).).).
[5]
Therefore, Either [4] or (If (Not (If (Not (If [0], then [1].).), then [2].).), then (Not [3].).)..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [4].).
If [7], then (Not [4].).
Therefore, Not [4]..
|
{0: 'Diets include cholesterol food.', 1: 'Students review lessons.', 2: 'Smoking is a major cause of heart and blood vessel disease.', 3: 'Graduates see graduates.', 4: 'Lizards live in habitats.', 5: 'Forms carbamate upon exposure to air, which is corrosive when combined with moisture.', 6: 'Most colonies start to disperse soon after the young are weaned.', 7: 'Bears has-part hearts.'}
| 5 |
4,602 |
["So long as the statement that 'gravity exerts a force downward, elevator floor upward' is incorrect, 'mollies are the same, especially the black mollies' is true.", "Whenever it is true that the statement that 'gravity exerts a force downward, elevator floor upward' is incorrect, 'if astronomers use the same principle to calculate the distances to the nearer stars, then folic acid is found mainly in orange juice, green leafy vegetables, and beans ' is true.", 'One may reasonably assume that if we know that the claim that if if astronomers use the same principle to calculate the distances to the nearer stars, then folic acid is found mainly in orange juice, green leafy vegetables, and beans , then the claim that mollies are the same, especially the black mollies has no merit is false, then assumptions are acts.', 'Either one or both of these statements are true: performance is accomplishment, or if we know that the claim that if if astronomers use the same principle to calculate the distances to the nearer stars, then folic acid is found mainly in orange juice, green leafy vegetables, and beans , then the claim that mollies are the same, especially the black mollies has no merit is false, then the claim that assumptions are acts does not reflect reality.', 'We know that either firms have ideas or a jumping bean is a seed.', "So long as firms have ideas, 'the statement that states performance is accomplishment is false' is true.", 'Once we know a jumping bean is a seed, we also know that the statement that states performance is accomplishment is false.']
|
So long as the statement that 'gravity exerts a force downward, elevator floor upward' is incorrect, 'mollies are the same, especially the black mollies' is true. Whenever it is true that the statement that 'gravity exerts a force downward, elevator floor upward' is incorrect, 'if astronomers use the same principle to calculate the distances to the nearer stars, then folic acid is found mainly in orange juice, green leafy vegetables, and beans ' is true. One may reasonably assume that if we know that the claim that if if astronomers use the same principle to calculate the distances to the nearer stars, then folic acid is found mainly in orange juice, green leafy vegetables, and beans , then the claim that mollies are the same, especially the black mollies has no merit is false, then assumptions are acts. Either one or both of these statements are true: performance is accomplishment, or if we know that the claim that if if astronomers use the same principle to calculate the distances to the nearer stars, then folic acid is found mainly in orange juice, green leafy vegetables, and beans , then the claim that mollies are the same, especially the black mollies has no merit is false, then the claim that assumptions are acts does not reflect reality. We know that either firms have ideas or a jumping bean is a seed. So long as firms have ideas, 'the statement that states performance is accomplishment is false' is true. Once we know a jumping bean is a seed, we also know that the statement that states performance is accomplishment is false.
|
It is the case that gravity exerts a force downward, elevator floor upward.
|
It is the case that gravity exerts a force downward, elevator floor upward.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Hypothetical Syllogism:
If (Not [0].), then (If [2], then [3].).
If (If [2], then [3].), then (Not [1].). [SC2-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (If [2], then [3].), then (Not [1].).).), then [4].
If (Not (If (If [2], then [3].), then (Not [1].).).), then (Not [4].). [SC2-3]
Therefore, If (If [2], then [3].), then (Not [1].)..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (If (Not (If (If [2], then [3].), then (Not [1].).).), then (Not [4].).).
Not [5]. [SC2-4]
Therefore, If (Not (If (If [2], then [3].), then (Not [1].).).), then (Not [4].)..
[SC2-4]
Disjunction Elimination:
Either [6] or [7].
If [6], then (Not [5].).
If [7], then (Not [5].).
Therefore, Not [5]..
|
{0: 'Gravity exerts a force downward, elevator floor upward.', 1: 'Mollies are the same, especially the black mollies.', 2: 'Astronomers use the same principle to calculate the distances to the nearer stars.', 3: 'Folic acid is found mainly in orange juice, green leafy vegetables, and beans .', 4: 'Assumptions are acts.', 5: 'Performance is accomplishment.', 6: 'Firms have ideas.', 7: 'A jumping bean is a seed.'}
| 5 |
4,745 |
['Given that endometriosis can affect different organs, it can be inferred that azathioprine depresses both cell mediated and humeral immunity.', 'Either readers find success or some organic matter tends to work better than others.', 'It is rational to believe that either jirds have (part) ears or cardinals live for years.', 'On the condition that jirds have (part) ears, it is definitely the case that if readers find success, then endometriosis can affect different organs.', 'On the condition that cardinals live for years, it is definitely the case that if readers find success, then endometriosis can affect different organs.', 'Assuming some organic matter tends to work better than others, we know that either clowns are a traditional part of celebrations in Mexico or most caribou lives in groups.', 'Either one or both of these statements are true: porridge is made of grind corn, or truth always exists in a pure unmixed state.', 'Once we know porridge is made of grind corn, we also know that if either clowns are a traditional part of celebrations in Mexico or most caribou lives in groups, then endometriosis can affect different organs.', 'Provided that truth always exists in a pure unmixed state, we know that if either clowns are a traditional part of celebrations in Mexico or most caribou lives in groups, then endometriosis can affect different organs.']
|
Given that endometriosis can affect different organs, it can be inferred that azathioprine depresses both cell mediated and humeral immunity. Either readers find success or some organic matter tends to work better than others. It is rational to believe that either jirds have (part) ears or cardinals live for years. On the condition that jirds have (part) ears, it is definitely the case that if readers find success, then endometriosis can affect different organs. On the condition that cardinals live for years, it is definitely the case that if readers find success, then endometriosis can affect different organs. Assuming some organic matter tends to work better than others, we know that either clowns are a traditional part of celebrations in Mexico or most caribou lives in groups. Either one or both of these statements are true: porridge is made of grind corn, or truth always exists in a pure unmixed state. Once we know porridge is made of grind corn, we also know that if either clowns are a traditional part of celebrations in Mexico or most caribou lives in groups, then endometriosis can affect different organs. Provided that truth always exists in a pure unmixed state, we know that if either clowns are a traditional part of celebrations in Mexico or most caribou lives in groups, then endometriosis can affect different organs.
|
azathioprine depresses both cell mediated and humeral immunity.
|
It is not the case that azathioprine depresses both cell mediated and humeral immunity.
|
FALSE
|
Modus Ponens:
If [1], then [0].
[1] [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then [1]. [SC2-2]
If [3], then [1]. [SC3-2]
Therefore, [1].
[SC2-2]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If [2], then [1].).
If [7], then (If [2], then [1].).
Therefore, If [2], then [1]..
[SC3-2]
Hypothetical Syllogism:
If [3], then (Either [4] or [5].).
If (Either [4] or [5].), then [1]. [SC2-3]
Therefore, If [3], then [1]..
[SC2-3]
Disjunction Elimination:
Either [8] or [9].
If [8], then (If (Either [4] or [5].), then [1].).
If [9], then (If (Either [4] or [5].), then [1].).
Therefore, If (Either [4] or [5].), then [1]..
|
{0: 'Azathioprine depresses both cell mediated and humeral immunity.', 1: 'Endometriosis can affect different organs.', 2: 'Readers find success.', 3: 'Some organic matter tends to work better than others.', 4: 'Clowns are a traditional part of celebrations in Mexico.', 5: 'Most caribou lives in groups.', 6: 'Jirds have (part) ears.', 7: 'Cardinals live for years.', 8: 'Porridge is made of grind corn.', 9: 'Truth always exists in a pure unmixed state.'}
| 5 |
4,471 |
["Whenever it is true that most fungi are multicellular eukaryotes, 'fur farming is practiced throughout Michigan' is true.", 'At least one of two things is true: international migration is projected to remain high during the twenty-first century, or if if most fungi are multicellular eukaryotes, then fur farming is practiced throughout Michigan, then patients consume freshwater fish.', 'It is a fact that either whiteflies are efficient vectors of viral diseases or people vary in their response to allergens and sensitizers.', "When whiteflies are efficient vectors of viral diseases is true, it follows that the statement that 'international migration is projected to remain high during the twenty-first century' is incorrect.", "When it is not the case that if people vary in their response to allergens and sensitizers, then the statement that 'international migration is projected to remain high during the twenty-first century' is incorrect is true, it follows that columns are located in tables.", 'At least one of two things is true: water is one of the most important nutrients required by swine, or walruses use their whiskers to cradle their eggs.', "Provided that water is one of the most important nutrients required by swine, we know that the statement 'columns are located in tables' can be considered false.", "When walruses use their whiskers to cradle their eggs is true, it follows that the statement 'columns are located in tables' can be considered false."]
|
Whenever it is true that most fungi are multicellular eukaryotes, 'fur farming is practiced throughout Michigan' is true. At least one of two things is true: international migration is projected to remain high during the twenty-first century, or if if most fungi are multicellular eukaryotes, then fur farming is practiced throughout Michigan, then patients consume freshwater fish. It is a fact that either whiteflies are efficient vectors of viral diseases or people vary in their response to allergens and sensitizers. When whiteflies are efficient vectors of viral diseases is true, it follows that the statement that 'international migration is projected to remain high during the twenty-first century' is incorrect. When it is not the case that if people vary in their response to allergens and sensitizers, then the statement that 'international migration is projected to remain high during the twenty-first century' is incorrect is true, it follows that columns are located in tables. At least one of two things is true: water is one of the most important nutrients required by swine, or walruses use their whiskers to cradle their eggs. Provided that water is one of the most important nutrients required by swine, we know that the statement 'columns are located in tables' can be considered false. When walruses use their whiskers to cradle their eggs is true, it follows that the statement 'columns are located in tables' can be considered false.
|
The statement that states patients consume freshwater fish is right.
|
The statement, patients consume freshwater fish, does not hold.
|
FALSE
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2].
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either [3] or (If (If [1], then [2].), then [0].).
Not [3]. [SC2-2]
Therefore, If (If [1], then [2].), then [0]..
[SC2-2]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not [3].).
If [5], then (Not [3].). [SC3-3]
Therefore, Not [3]..
[SC3-3]
Modus Tonens:
If (Not (If [5], then (Not [3].).).), then [6].
Not [6]. [SC2-4]
Therefore, If [5], then (Not [3].)..
[SC2-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (Not [6].).
If [8], then (Not [6].).
Therefore, Not [6]..
|
{0: 'Patients consume freshwater fish.', 1: 'Most fungi are multicellular eukaryotes.', 2: 'Fur farming is practiced throughout Michigan.', 3: 'International migration is projected to remain high during the twenty-first century.', 4: 'Whiteflies are efficient vectors of viral diseases.', 5: 'People vary in their response to allergens and sensitizers.', 6: 'Columns are located in tables.', 7: 'Water is one of the most important nutrients required by swine.', 8: 'Walruses use their whiskers to cradle their eggs.'}
| 5 |
4,342 |
["Whenever it is true that it is not the case that skunks often become trapped in window wells, 'a neutering is sterilisation' is true.", 'There is good reason to believe that either listeners have (part) personality or penicillins are bacteriocidal .', "Whenever it is true that listeners have (part) personality, 'the notion that 'a neutering is sterilisation' is untrue' is true.", "If phytoplankton have an important role in the marine ecosystem, then either elk are big animals, with long legs, that can cover a lot of real estate in a short period of time or if penicillins are bacteriocidal , then the notion that 'a neutering is sterilisation' is untrue.", 'Many people rightly believe that phytoplankton have an important role in the marine ecosystem.', 'It is a fact that either thaw takes places or some people mistakenly believe that elk are big animals, with long legs, that can cover a lot of real estate in a short period of time.', 'It is not the case that thaw takes places.']
|
Whenever it is true that it is not the case that skunks often become trapped in window wells, 'a neutering is sterilisation' is true. There is good reason to believe that either listeners have (part) personality or penicillins are bacteriocidal . Whenever it is true that listeners have (part) personality, 'the notion that 'a neutering is sterilisation' is untrue' is true. If phytoplankton have an important role in the marine ecosystem, then either elk are big animals, with long legs, that can cover a lot of real estate in a short period of time or if penicillins are bacteriocidal , then the notion that 'a neutering is sterilisation' is untrue. Many people rightly believe that phytoplankton have an important role in the marine ecosystem. It is a fact that either thaw takes places or some people mistakenly believe that elk are big animals, with long legs, that can cover a lot of real estate in a short period of time. It is not the case that thaw takes places.
|
We can assume that skunks often become trapped in window wells.
|
We can assume that skunks often become trapped in window wells.
|
TRUE
|
Modus Tonens:
If (Not [0].), then [1].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].).
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC3-2]
Disjunctive Syllogism:
Either [4] or (If [3], then (Not [1].).). [SC1-3]
Not [4]. [SC2-3]
Therefore, If [3], then (Not [1].)..
[SC1-3]
Modus Ponens:
If [6], then (Either [4] or (If [3], then (Not [1].).).).
[6]
Therefore, Either [4] or (If [3], then (Not [1].).)..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (Not [4].).
Not [5].
Therefore, Not [4]..
|
{0: 'Skunks often become trapped in window wells.', 1: 'A neutering is sterilisation.', 2: 'Listeners have (part) personality.', 3: 'Penicillins are bacteriocidal .', 4: 'Elk are big animals, with long legs, that can cover a lot of real estate in a short period of time.', 5: 'Thaw takes places.', 6: 'Phytoplankton have an important role in the marine ecosystem.'}
| 5 |
4,416 |
['If either meniscal tears are among the most common knee injuries or most people adopt diets, then the claim that bacteria can hide in the wooden fibers is false.', 'Should it be the case that the claim that if either meniscal tears are among the most common knee injuries or most people adopt diets, then bacteria can hide in the wooden fibers is false, it follows that if rAVE is an acronym for real animated vector effects, then british bats eat insects and nothing else.', 'It is rational to believe that either accountants do a variety of jobs or if the claim that if either meniscal tears are among the most common knee injuries or most people adopt diets, then bacteria can hide in the wooden fibers is false, then serious disorder impairs kidney functions.', 'It is not true that accountants do a variety of jobs.', 'Provided that the claim that if serious disorder impairs kidney functions, then the claim that if rAVE is an acronym for real animated vector effects, then british bats eat insects and nothing else does not correspond with reality does not correspond with reality, we know that oscillating sprinklers apply water to medium-sized areas.', "If the claim that if serious disorder impairs kidney functions, then the claim that if rAVE is an acronym for real animated vector effects, then british bats eat insects and nothing else does not correspond with reality does not correspond with reality, then the notion that 'oscillating sprinklers apply water to medium-sized areas' is untrue."]
|
If either meniscal tears are among the most common knee injuries or most people adopt diets, then the claim that bacteria can hide in the wooden fibers is false. Should it be the case that the claim that if either meniscal tears are among the most common knee injuries or most people adopt diets, then bacteria can hide in the wooden fibers is false, it follows that if rAVE is an acronym for real animated vector effects, then british bats eat insects and nothing else. It is rational to believe that either accountants do a variety of jobs or if the claim that if either meniscal tears are among the most common knee injuries or most people adopt diets, then bacteria can hide in the wooden fibers is false, then serious disorder impairs kidney functions. It is not true that accountants do a variety of jobs. Provided that the claim that if serious disorder impairs kidney functions, then the claim that if rAVE is an acronym for real animated vector effects, then british bats eat insects and nothing else does not correspond with reality does not correspond with reality, we know that oscillating sprinklers apply water to medium-sized areas. If the claim that if serious disorder impairs kidney functions, then the claim that if rAVE is an acronym for real animated vector effects, then british bats eat insects and nothing else does not correspond with reality does not correspond with reality, then the notion that 'oscillating sprinklers apply water to medium-sized areas' is untrue.
|
The statement that states either meniscal tears are among the most common knee injuries or most people adopt diets is false.
|
Either one or both of these statements are true: meniscal tears are among the most common knee injuries, or most people adopt diets.
|
FALSE
|
Reductio Ad Absurdum:
If (Either [0] or [1].), then [2]. [SC1-1]
If (Either [0] or [1].), then (Not [2].).
Therefore, Not (Either [0] or [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Either [0] or [1].), then [2].).), then (If [3], then [4].).
If (Not (If (Either [0] or [1].), then [2].).), then (Not (If [3], then [4].).). [SC2-2]
Therefore, If (Either [0] or [1].), then [2]..
[SC2-2]
Hypothetical Syllogism:
If (Not (If (Either [0] or [1].), then [2].).), then [5]. [SC1-3]
If [5], then (Not (If [3], then [4].).). [SC2-3]
Therefore, If (Not (If (Either [0] or [1].), then [2].).), then (Not (If [3], then [4].).)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If (Not (If (Either [0] or [1].), then [2].).), then [5].).
Not [6].
Therefore, If (Not (If (Either [0] or [1].), then [2].).), then [5]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [5], then (Not (If [3], then [4].).).).), then [7].
If (Not (If [5], then (Not (If [3], then [4].).).).), then (Not [7].).
Therefore, If [5], then (Not (If [3], then [4].).)..
|
{0: 'Meniscal tears are among the most common knee injuries.', 1: 'Most people adopt diets.', 2: 'Bacteria can hide in the wooden fibers.', 3: 'RAVE is an acronym for real animated vector effects.', 4: 'British bats eat insects and nothing else.', 5: 'Serious disorder impairs kidney functions.', 6: 'Accountants do a variety of jobs.', 7: 'Oscillating sprinklers apply water to medium-sized areas.'}
| 5 |
4,711 |
["So long as if many different factors contribute to the destruction of biodiversity on Earth, then infected rabbits die within a week or ten days following the onset of the illness, 'either metamorphism isa process or inflammatory disorder is caused by deposition' is true.", 'We know that either codeine is an opiate analgesic and antitussive or either eyes occur in varying degrees near the outside surface of any nodular banded agate or mammalian prey is the most important group, and the bobcat is best adapted to prey on rabbits.', 'Should it be the case that codeine is an opiate analgesic and antitussive, it follows that if if many different factors contribute to the destruction of biodiversity on Earth, then infected rabbits die within a week or ten days following the onset of the illness, then the claim that either metamorphism isa process or inflammatory disorder is caused by deposition has no merit.', 'If either eyes occur in varying degrees near the outside surface of any nodular banded agate or mammalian prey is the most important group, and the bobcat is best adapted to prey on rabbits, then rape has a relatively low incidence rate.', 'When rape has a relatively low incidence rate is true, it follows that hypertension can lead to heart disease, stroke, and kidney failure.', 'Should it be the case that hypertension can lead to heart disease, stroke, and kidney failure, it follows that government is the agency that holds a monopoly on the legal use of physical force.', 'One may reasonably assume that if government is the agency that holds a monopoly on the legal use of physical force, then if if many different factors contribute to the destruction of biodiversity on Earth, then infected rabbits die within a week or ten days following the onset of the illness, then the claim that either metamorphism isa process or inflammatory disorder is caused by deposition has no merit.']
|
So long as if many different factors contribute to the destruction of biodiversity on Earth, then infected rabbits die within a week or ten days following the onset of the illness, 'either metamorphism isa process or inflammatory disorder is caused by deposition' is true. We know that either codeine is an opiate analgesic and antitussive or either eyes occur in varying degrees near the outside surface of any nodular banded agate or mammalian prey is the most important group, and the bobcat is best adapted to prey on rabbits. Should it be the case that codeine is an opiate analgesic and antitussive, it follows that if if many different factors contribute to the destruction of biodiversity on Earth, then infected rabbits die within a week or ten days following the onset of the illness, then the claim that either metamorphism isa process or inflammatory disorder is caused by deposition has no merit. If either eyes occur in varying degrees near the outside surface of any nodular banded agate or mammalian prey is the most important group, and the bobcat is best adapted to prey on rabbits, then rape has a relatively low incidence rate. When rape has a relatively low incidence rate is true, it follows that hypertension can lead to heart disease, stroke, and kidney failure. Should it be the case that hypertension can lead to heart disease, stroke, and kidney failure, it follows that government is the agency that holds a monopoly on the legal use of physical force. One may reasonably assume that if government is the agency that holds a monopoly on the legal use of physical force, then if if many different factors contribute to the destruction of biodiversity on Earth, then infected rabbits die within a week or ten days following the onset of the illness, then the claim that either metamorphism isa process or inflammatory disorder is caused by deposition has no merit.
|
The claim that if many different factors contribute to the destruction of biodiversity on Earth, then infected rabbits die within a week or ten days following the onset of the illness does not reflect reality.
|
The claim that if many different factors contribute to the destruction of biodiversity on Earth, then infected rabbits die within a week or ten days following the onset of the illness does not reflect reality.
|
TRUE
|
Reductio Ad Absurdum:
If (If [0], then [1].), then (Either [2] or [3].).
If (If [0], then [1].), then (Not (Either [2] or [3].).). [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC2-1]
Disjunction Elimination:
Either [4] or (Either [5] or [6].).
If [4], then (If (If [0], then [1].), then (Not (Either [2] or [3].).).).
If (Either [5] or [6].), then (If (If [0], then [1].), then (Not (Either [2] or [3].).).). [SC3-2]
Therefore, If (If [0], then [1].), then (Not (Either [2] or [3].).)..
[SC3-2]
Hypothetical Syllogism:
If (Either [5] or [6].), then [7]. [SC1-3]
If [7], then (If (If [0], then [1].), then (Not (Either [2] or [3].).).). [SC2-3]
Therefore, If (Either [5] or [6].), then (If (If [0], then [1].), then (Not (Either [2] or [3].).).)..
[SC1-3]
Hypothetical Syllogism:
If (Either [5] or [6].), then [8].
If [8], then [7].
Therefore, If (Either [5] or [6].), then [7]..
[SC2-3]
Hypothetical Syllogism:
If [7], then [9].
If [9], then (If (If [0], then [1].), then (Not (Either [2] or [3].).).).
Therefore, If [7], then (If (If [0], then [1].), then (Not (Either [2] or [3].).).)..
|
{0: 'Many different factors contribute to the destruction of biodiversity on Earth.', 1: 'Infected rabbits die within a week or ten days following the onset of the illness.', 2: 'Metamorphism isa process.', 3: 'Inflammatory disorder is caused by deposition.', 4: 'Codeine is an opiate analgesic and antitussive.', 5: 'Eyes occur in varying degrees near the outside surface of any nodular banded agate.', 6: 'Mammalian prey is the most important group, and the bobcat is best adapted to prey on rabbits.', 7: 'Hypertension can lead to heart disease, stroke, and kidney failure.', 8: 'Rape has a relatively low incidence rate.', 9: 'Government is the agency that holds a monopoly on the legal use of physical force.'}
| 5 |
4,557 |
['If air has low thermal conductivity, then evangelicalism teaches unity, while scripture teaches separation.', 'There is good reason to believe that either phospholipids are essential for trophoblast growth and development or gangs affect society in terms of heightened fear, crime, and economic costs.', 'If phospholipids are essential for trophoblast growth and development, then if the claim that insulated boots are lined with heat-trapping fabric for supreme warmth in cold conditions does not reflect reality, then the claim that evangelicalism teaches unity, while scripture teaches separation is false.', 'There is good reason to believe that either either intellectual virtues are superior to moral virtues or most goldfinches feed in trees or if the claim that insulated boots are lined with heat-trapping fabric for supreme warmth in cold conditions does not reflect reality, then air has low thermal conductivity.', 'It is not true that either intellectual virtues are superior to moral virtues or most goldfinches feed in trees.', "Whenever it is true that gangs affect society in terms of heightened fear, crime, and economic costs, 'camels are well adapted because they can minimise the stress caused by high temperatures' is true.", 'Should it be the case that camels are well adapted because they can minimise the stress caused by high temperatures, it follows that if the claim that insulated boots are lined with heat-trapping fabric for supreme warmth in cold conditions does not reflect reality, then the claim that evangelicalism teaches unity, while scripture teaches separation is false.']
|
If air has low thermal conductivity, then evangelicalism teaches unity, while scripture teaches separation. There is good reason to believe that either phospholipids are essential for trophoblast growth and development or gangs affect society in terms of heightened fear, crime, and economic costs. If phospholipids are essential for trophoblast growth and development, then if the claim that insulated boots are lined with heat-trapping fabric for supreme warmth in cold conditions does not reflect reality, then the claim that evangelicalism teaches unity, while scripture teaches separation is false. There is good reason to believe that either either intellectual virtues are superior to moral virtues or most goldfinches feed in trees or if the claim that insulated boots are lined with heat-trapping fabric for supreme warmth in cold conditions does not reflect reality, then air has low thermal conductivity. It is not true that either intellectual virtues are superior to moral virtues or most goldfinches feed in trees. Whenever it is true that gangs affect society in terms of heightened fear, crime, and economic costs, 'camels are well adapted because they can minimise the stress caused by high temperatures' is true. Should it be the case that camels are well adapted because they can minimise the stress caused by high temperatures, it follows that if the claim that insulated boots are lined with heat-trapping fabric for supreme warmth in cold conditions does not reflect reality, then the claim that evangelicalism teaches unity, while scripture teaches separation is false.
|
It is rational to agree that insulated boots are lined with heat-trapping fabric for supreme warmth in cold conditions.
|
It is rational to agree that insulated boots are lined with heat-trapping fabric for supreme warmth in cold conditions.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1]. [SC1-1]
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If (Not [0].), then [2]. [SC1-2]
If [2], then [1].
Therefore, If (Not [0].), then [1]..
[SC1-2]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If (Not [0].), then [2].).
Not (Either [5] or [6].).
Therefore, If (Not [0].), then [2]..
[SC2-1]
Disjunction Elimination:
Either [3] or [4].
If [3], then (If (Not [0].), then (Not [1].).).
If [4], then (If (Not [0].), then (Not [1].).). [SC3-2]
Therefore, If (Not [0].), then (Not [1].)..
[SC3-2]
Hypothetical Syllogism:
If [4], then [7].
If [7], then (If (Not [0].), then (Not [1].).).
Therefore, If [4], then (If (Not [0].), then (Not [1].).)..
|
{0: 'Insulated boots are lined with heat-trapping fabric for supreme warmth in cold conditions.', 1: 'Evangelicalism teaches unity, while scripture teaches separation.', 2: 'Air has low thermal conductivity.', 3: 'Phospholipids are essential for trophoblast growth and development.', 4: 'Gangs affect society in terms of heightened fear, crime, and economic costs.', 5: 'Intellectual virtues are superior to moral virtues.', 6: 'Most goldfinches feed in trees.', 7: 'Camels are well adapted because they can minimise the stress caused by high temperatures.'}
| 5 |
4,050 |
['Given that we know that the claim that if the claim that most many birds find animal food does not correspond with reality, then if an eye is a sense organ, then neuroscience is neurobiology is false, it can be inferred that hate crimes are serious offenses.', 'Once we know we know that the claim that if the claim that most many birds find animal food does not correspond with reality, then if an eye is a sense organ, then neuroscience is neurobiology is false, we also know that the claim that hate crimes are serious offenses does not reflect reality.', "Whenever it is true that the statement, if the claim that most many birds find animal food does not correspond with reality, then it is not the case that if an eye is a sense organ, then neuroscience is neurobiology, does not hold, 'true hibernation affects dormouses' is true.", 'Should it be the case that depression often begins as grief, it follows that the statement that states true hibernation affects dormouses is false.', 'Given that the statement that states depression often begins as grief is false, it can be inferred that communications technology is a key element in the success of any business.', "The statement 'communications technology is a key element in the success of any business' can be considered false."]
|
Given that we know that the claim that if the claim that most many birds find animal food does not correspond with reality, then if an eye is a sense organ, then neuroscience is neurobiology is false, it can be inferred that hate crimes are serious offenses. Once we know we know that the claim that if the claim that most many birds find animal food does not correspond with reality, then if an eye is a sense organ, then neuroscience is neurobiology is false, we also know that the claim that hate crimes are serious offenses does not reflect reality. Whenever it is true that the statement, if the claim that most many birds find animal food does not correspond with reality, then it is not the case that if an eye is a sense organ, then neuroscience is neurobiology, does not hold, 'true hibernation affects dormouses' is true. Should it be the case that depression often begins as grief, it follows that the statement that states true hibernation affects dormouses is false. Given that the statement that states depression often begins as grief is false, it can be inferred that communications technology is a key element in the success of any business. The statement 'communications technology is a key element in the success of any business' can be considered false.
|
Many people rightly believe that most many birds find animal food.
|
The statement that 'most many birds find animal food' is incorrect.
|
FALSE
|
Reductio Ad Absurdum:
If (Not [0].), then (If [1], then [2].). [SC1-1]
If (Not [0].), then (Not (If [1], then [2].).). [SC2-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (If (Not [0].), then (If [1], then [2].).).), then [4].
If (Not (If (Not [0].), then (If [1], then [2].).).), then (Not [4].).
Therefore, If (Not [0].), then (If [1], then [2].)..
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not (If [1], then [2].).).).), then [3].
Not [3]. [SC2-2]
Therefore, If (Not [0].), then (Not (If [1], then [2].).)..
[SC2-2]
Modus Ponens:
If [5], then (Not [3].).
[5] [SC2-3]
Therefore, Not [3]..
[SC2-3]
Modus Tonens:
If (Not [5].), then [6].
Not [6].
Therefore, [5].
|
{0: 'Most many birds find animal food.', 1: 'An eye is a sense organ.', 2: 'Neuroscience is neurobiology.', 3: 'True hibernation affects dormouses.', 4: 'Hate crimes are serious offenses.', 5: 'Depression often begins as grief.', 6: 'Communications technology is a key element in the success of any business.'}
| 5 |
4,162 |
['We know that at least one of two things is true: bugs have heads, or capacitance is the Charges on the plate divided by the Potential difference.', 'On the condition that capacitance is the Charges on the plate divided by the Potential difference, it is definitely the case that percentages represent the portion of the total parasitic energy consumed.', 'It is rational to believe that either bright red berries have sweet flavour or some mounds contain no eggs and are referred to as test redds, false redds, or scrapes.', 'If members have (part) necks, then if bugs have heads, then dense forests alternate with rolling meadows and fields.', 'Once we know the statement, if some mounds contain no eggs and are referred to as test redds, false redds, or scrapes, then if bugs have heads, then dense forests alternate with rolling meadows and fields, does not hold, we also know that either athletic trainers work with both professional and amateur athletes or heat cramps develop because of excessive perspiration and loss of salt from the body.', 'It is not the case that either athletic trainers work with both professional and amateur athletes or heat cramps develop because of excessive perspiration and loss of salt from the body.', 'It is rational to believe that either some seabirds eat salmon or either first floors are used for garages or some powder produces gases.', 'Given that some seabirds eat salmon, it can be inferred that if bright red berries have sweet flavour, then members have (part) necks.', "So long as either first floors are used for garages or some powder produces gases, 'if bright red berries have sweet flavour, then members have (part) necks' is true."]
|
We know that at least one of two things is true: bugs have heads, or capacitance is the Charges on the plate divided by the Potential difference. On the condition that capacitance is the Charges on the plate divided by the Potential difference, it is definitely the case that percentages represent the portion of the total parasitic energy consumed. It is rational to believe that either bright red berries have sweet flavour or some mounds contain no eggs and are referred to as test redds, false redds, or scrapes. If members have (part) necks, then if bugs have heads, then dense forests alternate with rolling meadows and fields. Once we know the statement, if some mounds contain no eggs and are referred to as test redds, false redds, or scrapes, then if bugs have heads, then dense forests alternate with rolling meadows and fields, does not hold, we also know that either athletic trainers work with both professional and amateur athletes or heat cramps develop because of excessive perspiration and loss of salt from the body. It is not the case that either athletic trainers work with both professional and amateur athletes or heat cramps develop because of excessive perspiration and loss of salt from the body. It is rational to believe that either some seabirds eat salmon or either first floors are used for garages or some powder produces gases. Given that some seabirds eat salmon, it can be inferred that if bright red berries have sweet flavour, then members have (part) necks. So long as either first floors are used for garages or some powder produces gases, 'if bright red berries have sweet flavour, then members have (part) necks' is true.
|
It is a fact that either dense forests alternate with rolling meadows and fields or percentages represent the portion of the total parasitic energy consumed.
|
We know that the claim that either dense forests alternate with rolling meadows and fields or percentages represent the portion of the total parasitic energy consumed is false.
|
FALSE
|
Constructive Dilemma:
Either [2] or [3].
If [2], then [0]. [SC2-1]
If [3], then [1].
Therefore, Either [0] or [1]..
[SC2-1]
Disjunction Elimination:
Either [4] or [5].
If [4], then (If [2], then [0].). [SC2-2]
If [5], then (If [2], then [0].). [SC3-2]
Therefore, If [2], then [0]..
[SC2-2]
Hypothetical Syllogism:
If [4], then [6]. [SC1-3]
If [6], then (If [2], then [0].).
Therefore, If [4], then (If [2], then [0].)..
[SC1-3]
Disjunction Elimination:
Either [9] or (Either [10] or [11].).
If [9], then (If [4], then [6].).
If (Either [10] or [11].), then (If [4], then [6].).
Therefore, If [4], then [6]..
[SC3-2]
Modus Tonens:
If (Not (If [5], then (If [2], then [0].).).), then (Either [7] or [8].).
Not (Either [7] or [8].).
Therefore, If [5], then (If [2], then [0].)..
|
{0: 'Dense forests alternate with rolling meadows and fields.', 1: 'Percentages represent the portion of the total parasitic energy consumed.', 2: 'Bugs have heads.', 3: 'Capacitance is the Charges on the plate divided by the Potential difference.', 4: 'Bright red berries have sweet flavour.', 5: 'Some mounds contain no eggs and are referred to as test redds, false redds, or scrapes.', 6: 'Members have (part) necks.', 7: 'Athletic trainers work with both professional and amateur athletes.', 8: 'Heat cramps develop because of excessive perspiration and loss of salt from the body.', 9: 'Some seabirds eat salmon.', 10: 'First floors are used for garages.', 11: 'Some powder produces gases.'}
| 5 |
4,765 |
['Provided that it is not the case that either endogenous depression tends to occur in mid-life and is more common in women or salt is a vitally needed element in the treatment of diabetics, we know that poinsettias are perhaps the most difficult flowering potted plants to rebloom indoors.', 'Once we know it is not the case that either endogenous depression tends to occur in mid-life and is more common in women or salt is a vitally needed element in the treatment of diabetics, we also know that some people mistakenly believe that poinsettias are perhaps the most difficult flowering potted plants to rebloom indoors.', 'If some larvae transform into adult fleas, then amoebas use their pseudopodia for mobility and to obtain food.', 'Assuming it is not the case that if salt is a vitally needed element in the treatment of diabetics, then amoebas use their pseudopodia for mobility and to obtain food, we know that either water marks are present on trees or other erect object or marmots have (part) faces.', 'The claim that either water marks are present on trees or other erect object or marmots have (part) faces does not correspond with reality.', 'Once we know we know that the claim that if endogenous depression tends to occur in mid-life and is more common in women, then some larvae transform into adult fleas is false, we also know that weight is part of weight machines.', 'The claim that weight is part of weight machines does not reflect reality.']
|
Provided that it is not the case that either endogenous depression tends to occur in mid-life and is more common in women or salt is a vitally needed element in the treatment of diabetics, we know that poinsettias are perhaps the most difficult flowering potted plants to rebloom indoors. Once we know it is not the case that either endogenous depression tends to occur in mid-life and is more common in women or salt is a vitally needed element in the treatment of diabetics, we also know that some people mistakenly believe that poinsettias are perhaps the most difficult flowering potted plants to rebloom indoors. If some larvae transform into adult fleas, then amoebas use their pseudopodia for mobility and to obtain food. Assuming it is not the case that if salt is a vitally needed element in the treatment of diabetics, then amoebas use their pseudopodia for mobility and to obtain food, we know that either water marks are present on trees or other erect object or marmots have (part) faces. The claim that either water marks are present on trees or other erect object or marmots have (part) faces does not correspond with reality. Once we know we know that the claim that if endogenous depression tends to occur in mid-life and is more common in women, then some larvae transform into adult fleas is false, we also know that weight is part of weight machines. The claim that weight is part of weight machines does not reflect reality.
|
The statement 'amoebas use their pseudopodia for mobility and to obtain food' can be considered true.
|
The notion that 'amoebas use their pseudopodia for mobility and to obtain food' is untrue.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2]. [SC1-1]
If [1], then [0]. [SC2-1]
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or [2].).), then [6].
If (Not (Either [1] or [2].).), then (Not [6].).
Therefore, Either [1] or [2]..
[SC2-1]
Hypothetical Syllogism:
If [1], then [5]. [SC1-2]
If [5], then [0].
Therefore, If [1], then [0]..
[SC1-2]
Modus Tonens:
If (Not (If [1], then [5].).), then [7].
Not [7].
Therefore, If [1], then [5]..
[SC3-1]
Modus Tonens:
If (Not (If [2], then [0].).), then (Either [3] or [4].).
Not (Either [3] or [4].).
Therefore, If [2], then [0]..
|
{0: 'Amoebas use their pseudopodia for mobility and to obtain food.', 1: 'Endogenous depression tends to occur in mid-life and is more common in women.', 2: 'Salt is a vitally needed element in the treatment of diabetics.', 3: 'Water marks are present on trees or other erect object.', 4: 'Marmots have (part) faces.', 5: 'Some larvae transform into adult fleas.', 6: 'Poinsettias are perhaps the most difficult flowering potted plants to rebloom indoors.', 7: 'Weight is part of weight machines.'}
| 5 |
4,856 |
['Provided that the claim that if deciduous woodlands provide conditions, then it is a common misconception that if most transvestites have their first cross-dressing experience around puberty or in adolescence, then biscuits are also tasty snacks and can be used for training is false, we know that risk is defined as the sensitivity of an indicator to an ecological disturbance .', 'On the condition that the claim that if deciduous woodlands provide conditions, then it is a common misconception that if most transvestites have their first cross-dressing experience around puberty or in adolescence, then biscuits are also tasty snacks and can be used for training is false, it is definitely the case that the statement that states risk is defined as the sensitivity of an indicator to an ecological disturbance is false.', 'Should it be the case that pacemaker implants to treat cardiac patients, it follows that deciduous woodlands provide conditions.', 'Should it be the case that the statement, either racism is located in souths or pacemaker implants to treat cardiac patients, does not hold, it follows that spittlebugs have sharp beaks with which they pierce the stems of plants and suck the plant juices.', "When the statement, either racism is located in souths or pacemaker implants to treat cardiac patients, does not hold is true, it follows that the statement that 'spittlebugs have sharp beaks with which they pierce the stems of plants and suck the plant juices' is incorrect.", 'Should it be the case that racism is located in souths, it follows that synapsids develop teeth.', 'Given that synapsids develop teeth, it can be inferred that deciduous woodlands provide conditions.']
|
Provided that the claim that if deciduous woodlands provide conditions, then it is a common misconception that if most transvestites have their first cross-dressing experience around puberty or in adolescence, then biscuits are also tasty snacks and can be used for training is false, we know that risk is defined as the sensitivity of an indicator to an ecological disturbance . On the condition that the claim that if deciduous woodlands provide conditions, then it is a common misconception that if most transvestites have their first cross-dressing experience around puberty or in adolescence, then biscuits are also tasty snacks and can be used for training is false, it is definitely the case that the statement that states risk is defined as the sensitivity of an indicator to an ecological disturbance is false. Should it be the case that pacemaker implants to treat cardiac patients, it follows that deciduous woodlands provide conditions. Should it be the case that the statement, either racism is located in souths or pacemaker implants to treat cardiac patients, does not hold, it follows that spittlebugs have sharp beaks with which they pierce the stems of plants and suck the plant juices. When the statement, either racism is located in souths or pacemaker implants to treat cardiac patients, does not hold is true, it follows that the statement that 'spittlebugs have sharp beaks with which they pierce the stems of plants and suck the plant juices' is incorrect. Should it be the case that racism is located in souths, it follows that synapsids develop teeth. Given that synapsids develop teeth, it can be inferred that deciduous woodlands provide conditions.
|
It is a common misconception that if most transvestites have their first cross-dressing experience around puberty or in adolescence, then biscuits are also tasty snacks and can be used for training.
|
It is a common misconception that if most transvestites have their first cross-dressing experience around puberty or in adolescence, then biscuits are also tasty snacks and can be used for training.
|
TRUE
|
Modus Ponens:
If [2], then (Not (If [0], then [1].).). [SC1-1]
[2] [SC2-1]
Therefore, Not (If [0], then [1].)..
[SC1-1]
Reductio Ad Absurdum:
If (Not (If [2], then (Not (If [0], then [1].).).).), then [3].
If (Not (If [2], then (Not (If [0], then [1].).).).), then (Not [3].).
Therefore, If [2], then (Not (If [0], then [1].).)..
[SC2-1]
Disjunction Elimination:
Either [4] or [5]. [SC1-2]
If [4], then [2]. [SC2-2]
If [5], then [2].
Therefore, [2].
[SC1-2]
Reductio Ad Absurdum:
If (Not (Either [4] or [5].).), then [7].
If (Not (Either [4] or [5].).), then (Not [7].).
Therefore, Either [4] or [5]..
[SC2-2]
Hypothetical Syllogism:
If [4], then [6].
If [6], then [2].
Therefore, If [4], then [2]..
|
{0: 'Most transvestites have their first cross-dressing experience around puberty or in adolescence.', 1: 'Biscuits are also tasty snacks and can be used for training.', 2: 'Deciduous woodlands provide conditions.', 3: 'Risk is defined as the sensitivity of an indicator to an ecological disturbance .', 4: 'Racism is located in souths.', 5: 'Pacemaker implants to treat cardiac patients.', 6: 'Synapsids develop teeth.', 7: 'Spittlebugs have sharp beaks with which they pierce the stems of plants and suck the plant juices.'}
| 5 |
4,867 |
['Once we know it is not true that either loss of sensation carries a risk of foot ulceration or either illiteracy is a fact of life for roughly three fifths of the population or histamine is made predominantly by the mast cell, we also know that bobcats are active any time.', 'Assuming loss of sensation carries a risk of foot ulceration, we know that either topology studies the structures of geometric objects in a very general way or hotels have (part) window frames.', 'Provided that loss of sensation carries a risk of foot ulceration, we know that the claim that either topology studies the structures of geometric objects in a very general way or hotels have (part) window frames has no merit.', 'Should it be the case that bobcats are active any time, it follows that the claim that africa has (part) Tunisia does not reflect reality.', "Provided that the statement 'if bobcats are active any time, then africa has (part) Tunisia' can be considered false, we know that if term is the type of insurance that everybody understands, then larger fish take proportionately more terrestrial insects.", "Once we know the statement 'if bobcats are active any time, then africa has (part) Tunisia' can be considered false, we also know that the claim that if term is the type of insurance that everybody understands, then larger fish take proportionately more terrestrial insects does not reflect reality."]
|
Once we know it is not true that either loss of sensation carries a risk of foot ulceration or either illiteracy is a fact of life for roughly three fifths of the population or histamine is made predominantly by the mast cell, we also know that bobcats are active any time. Assuming loss of sensation carries a risk of foot ulceration, we know that either topology studies the structures of geometric objects in a very general way or hotels have (part) window frames. Provided that loss of sensation carries a risk of foot ulceration, we know that the claim that either topology studies the structures of geometric objects in a very general way or hotels have (part) window frames has no merit. Should it be the case that bobcats are active any time, it follows that the claim that africa has (part) Tunisia does not reflect reality. Provided that the statement 'if bobcats are active any time, then africa has (part) Tunisia' can be considered false, we know that if term is the type of insurance that everybody understands, then larger fish take proportionately more terrestrial insects. Once we know the statement 'if bobcats are active any time, then africa has (part) Tunisia' can be considered false, we also know that the claim that if term is the type of insurance that everybody understands, then larger fish take proportionately more terrestrial insects does not reflect reality.
|
There is good reason to believe that either illiteracy is a fact of life for roughly three fifths of the population or histamine is made predominantly by the mast cell.
|
It is a fact that either illiteracy is a curse and denial of human dignity or histamine is a potent inhibitor of neutrophil microbicidal activity.
|
Uncertain
|
Disjunctive Syllogism:
Either [2] or (Either [0] or [1].). [SC1-1]
Not [2]. [SC2-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or (Either [0] or [1].).).), then [5].
Not [5]. [SC2-2]
Therefore, Either [2] or (Either [0] or [1].)..
[SC2-2]
Reductio Ad Absurdum:
If [5], then [6]. [SC1-3]
If [5], then (Not [6].).
Therefore, Not [5]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If [5], then [6].).), then (If [7], then [8].).
If (Not (If [5], then [6].).), then (Not (If [7], then [8].).).
Therefore, If [5], then [6]..
[SC2-1]
Reductio Ad Absurdum:
If [2], then (Either [3] or [4].).
If [2], then (Not (Either [3] or [4].).).
Therefore, Not [2]..
|
{0: 'Illiteracy is a fact of life for roughly three fifths of the population.', 1: 'Histamine is made predominantly by the mast cell.', 2: 'Loss of sensation carries a risk of foot ulceration.', 3: 'Topology studies the structures of geometric objects in a very general way.', 4: 'Hotels have (part) window frames.', 5: 'Bobcats are active any time.', 6: 'Africa has (part) Tunisia.', 7: 'Term is the type of insurance that everybody understands.', 8: 'Larger fish take proportionately more terrestrial insects.'}
| 5 |
4,524 |
["Whenever it is true that needles can transmit disease and cause injuries to others, 'if if most banks provide financial services, then school is one kind of social group, then osteoporosis is most common in women after menopause but elderly men are also commonly affected' is true.", 'We can assume that needles can transmit disease and cause injuries to others.', 'There is good reason to believe that either chemical weathering initially works along contacts between mineral grains or anthrax is a bacteria.', 'When some women notice their allergies get better during pregnancy, and symptoms improve is true, it follows that if either chemical weathering initially works along contacts between mineral grains or anthrax is a bacteria, then if most banks provide financial services, then school is one kind of social group.', 'On the condition that if fantails are overhangs, then smoking also raises the risk of blood clots, it is definitely the case that if either chemical weathering initially works along contacts between mineral grains or anthrax is a bacteria, then if most banks provide financial services, then school is one kind of social group.', 'It is a fact that either stingrays are inactive for the vast majority of time or caterpillars eat leaves, and live and pupate in tents of folded, sealed leaves.', 'Provided that stingrays are inactive for the vast majority of time, we know that some women notice their allergies get better during pregnancy, and symptoms improve.', 'If caterpillars eat leaves, and live and pupate in tents of folded, sealed leaves, then if fantails are overhangs, then smoking also raises the risk of blood clots.']
|
Whenever it is true that needles can transmit disease and cause injuries to others, 'if if most banks provide financial services, then school is one kind of social group, then osteoporosis is most common in women after menopause but elderly men are also commonly affected' is true. We can assume that needles can transmit disease and cause injuries to others. There is good reason to believe that either chemical weathering initially works along contacts between mineral grains or anthrax is a bacteria. When some women notice their allergies get better during pregnancy, and symptoms improve is true, it follows that if either chemical weathering initially works along contacts between mineral grains or anthrax is a bacteria, then if most banks provide financial services, then school is one kind of social group. On the condition that if fantails are overhangs, then smoking also raises the risk of blood clots, it is definitely the case that if either chemical weathering initially works along contacts between mineral grains or anthrax is a bacteria, then if most banks provide financial services, then school is one kind of social group. It is a fact that either stingrays are inactive for the vast majority of time or caterpillars eat leaves, and live and pupate in tents of folded, sealed leaves. Provided that stingrays are inactive for the vast majority of time, we know that some women notice their allergies get better during pregnancy, and symptoms improve. If caterpillars eat leaves, and live and pupate in tents of folded, sealed leaves, then if fantails are overhangs, then smoking also raises the risk of blood clots.
|
It is a simple truth that osteoporosis is most common in women after menopause but elderly men are also commonly affected.
|
Osteoporosis is a silent disease, however.
|
Uncertain
|
Modus Ponens:
If (If [1], then [2].), then [0]. [SC1-1]
If [1], then [2]. [SC2-1]
Therefore, [0].
[SC1-1]
Modus Ponens:
If [5], then (If (If [1], then [2].), then [0].).
[5]
Therefore, If (If [1], then [2].), then [0]..
[SC2-1]
Modus Ponens:
If (Either [3] or [4].), then (If [1], then [2].). [SC1-2]
Either [3] or [4].
Therefore, If [1], then [2]..
[SC1-2]
Disjunction Elimination:
Either [6] or (If [7], then [8].). [SC1-3]
If [6], then (If (Either [3] or [4].), then (If [1], then [2].).).
If (If [7], then [8].), then (If (Either [3] or [4].), then (If [1], then [2].).).
Therefore, If (Either [3] or [4].), then (If [1], then [2].)..
[SC1-3]
Constructive Dilemma:
Either [9] or [10].
If [9], then [6].
If [10], then (If [7], then [8].).
Therefore, Either [6] or (If [7], then [8].)..
|
{0: 'Osteoporosis is most common in women after menopause but elderly men are also commonly affected.', 1: 'Most banks provide financial services.', 2: 'School is one kind of social group.', 3: 'Chemical weathering initially works along contacts between mineral grains.', 4: 'Anthrax is a bacteria.', 5: 'Needles can transmit disease and cause injuries to others.', 6: 'Some women notice their allergies get better during pregnancy, and symptoms improve.', 7: 'Fantails are overhangs.', 8: 'Smoking also raises the risk of blood clots.', 9: 'Stingrays are inactive for the vast majority of time.', 10: 'Caterpillars eat leaves, and live and pupate in tents of folded, sealed leaves.'}
| 5 |
4,443 |
['Should it be the case that the claim that advertising is an invention of the capitalist society is false, it follows that frictional costs are the total costs of trading, whether that trading method is passive or active.', 'Those that suggest vascular plants carry water and nutrients up and down the plant are wrong.', 'On the condition that it is a common misconception that either blood is necessary for egg development following mating or if the claim that if the claim that advertising is an invention of the capitalist society is false, then it is a common misconception that frictional costs are the total costs of trading, whether that trading method is passive or active has no merit, then vascular plants carry water and nutrients up and down the plant, it is definitely the case that floods can also traumatise victims and their families for long periods of time.', 'The claim that floods can also traumatise victims and their families for long periods of time does not reflect reality.', 'It is a fact that either some floods develop slowly, sometimes over a period of days or children have exposure.', 'One may reasonably assume that if some floods develop slowly, sometimes over a period of days, then it is not true that blood is necessary for egg development following mating.', 'Should it be the case that children have exposure, it follows that it is not true that blood is necessary for egg development following mating.']
|
Should it be the case that the claim that advertising is an invention of the capitalist society is false, it follows that frictional costs are the total costs of trading, whether that trading method is passive or active. Those that suggest vascular plants carry water and nutrients up and down the plant are wrong. On the condition that it is a common misconception that either blood is necessary for egg development following mating or if the claim that if the claim that advertising is an invention of the capitalist society is false, then it is a common misconception that frictional costs are the total costs of trading, whether that trading method is passive or active has no merit, then vascular plants carry water and nutrients up and down the plant, it is definitely the case that floods can also traumatise victims and their families for long periods of time. The claim that floods can also traumatise victims and their families for long periods of time does not reflect reality. It is a fact that either some floods develop slowly, sometimes over a period of days or children have exposure. One may reasonably assume that if some floods develop slowly, sometimes over a period of days, then it is not true that blood is necessary for egg development following mating. Should it be the case that children have exposure, it follows that it is not true that blood is necessary for egg development following mating.
|
The statement 'advertising is an invention of the capitalist society' can be considered true.
|
The statement 'advertising is an invention of the capitalist society' can be considered true.
|
TRUE
|
Reductio Ad Absurdum:
If (Not [0].), then [1].
If (Not [0].), then (Not [1].). [SC2-1]
Therefore, [0].
[SC2-1]
Modus Tonens:
If (Not (If (Not [0].), then (Not [1].).).), then [2]. [SC1-2]
Not [2].
Therefore, If (Not [0].), then (Not [1].)..
[SC1-2]
Disjunctive Syllogism:
Either [3] or (If (Not (If (Not [0].), then (Not [1].).).), then [2].). [SC1-3]
Not [3]. [SC2-3]
Therefore, If (Not (If (Not [0].), then (Not [1].).).), then [2]..
[SC1-3]
Modus Tonens:
If (Not (Either [3] or (If (Not (If (Not [0].), then (Not [1].).).), then [2].).).), then [6].
Not [6].
Therefore, Either [3] or (If (Not (If (Not [0].), then (Not [1].).).), then [2].)..
[SC2-3]
Disjunction Elimination:
Either [4] or [5].
If [4], then (Not [3].).
If [5], then (Not [3].).
Therefore, Not [3]..
|
{0: 'Advertising is an invention of the capitalist society.', 1: 'Frictional costs are the total costs of trading, whether that trading method is passive or active.', 2: 'Vascular plants carry water and nutrients up and down the plant.', 3: 'Blood is necessary for egg development following mating.', 4: 'Some floods develop slowly, sometimes over a period of days.', 5: 'Children have exposure.', 6: 'Floods can also traumatise victims and their families for long periods of time.'}
| 5 |
4,172 |
['Assuming accountability begins when a child is able to reason and discern right from wrong, we know that either qualifiers are contestants or most bats eat fruit and insects.', 'Once we know accountability begins when a child is able to reason and discern right from wrong, we also know that either obesity is a serious health problem that can be helped with a sensible diet and exercise program or mottles are in various shades of brown, red, and gray.', 'Assuming the statement, if either obesity is a serious health problem that can be helped with a sensible diet and exercise program or mottles are in various shades of brown, red, and gray, then it is not the case that either qualifiers are contestants or most bats eat fruit and insects, does not hold, we know that frogs feel the heat Amphibian populations are in rapid and concerning decline globally.', 'There is good reason to believe that either if most hormones regulate endocrine glands, then back pain is a fairly common disorder, with which most of the population learns to cope or luck is the derivative of good planning.', 'When luck is the derivative of good planning is true, it follows that if the statement, if either obesity is a serious health problem that can be helped with a sensible diet and exercise program or mottles are in various shades of brown, red, and gray, then it is not the case that either qualifiers are contestants or most bats eat fruit and insects, does not hold, then the claim that frogs feel the heat Amphibian populations are in rapid and concerning decline globally has no merit.', 'One may reasonably assume that if some vampires notice a change in muscle movement, then if if most hormones regulate endocrine glands, then back pain is a fairly common disorder, with which most of the population learns to cope, then if the statement, if either obesity is a serious health problem that can be helped with a sensible diet and exercise program or mottles are in various shades of brown, red, and gray, then it is not the case that either qualifiers are contestants or most bats eat fruit and insects, does not hold, then the claim that frogs feel the heat Amphibian populations are in rapid and concerning decline globally has no merit.', 'We can assume that some vampires notice a change in muscle movement.']
|
Assuming accountability begins when a child is able to reason and discern right from wrong, we know that either qualifiers are contestants or most bats eat fruit and insects. Once we know accountability begins when a child is able to reason and discern right from wrong, we also know that either obesity is a serious health problem that can be helped with a sensible diet and exercise program or mottles are in various shades of brown, red, and gray. Assuming the statement, if either obesity is a serious health problem that can be helped with a sensible diet and exercise program or mottles are in various shades of brown, red, and gray, then it is not the case that either qualifiers are contestants or most bats eat fruit and insects, does not hold, we know that frogs feel the heat Amphibian populations are in rapid and concerning decline globally. There is good reason to believe that either if most hormones regulate endocrine glands, then back pain is a fairly common disorder, with which most of the population learns to cope or luck is the derivative of good planning. When luck is the derivative of good planning is true, it follows that if the statement, if either obesity is a serious health problem that can be helped with a sensible diet and exercise program or mottles are in various shades of brown, red, and gray, then it is not the case that either qualifiers are contestants or most bats eat fruit and insects, does not hold, then the claim that frogs feel the heat Amphibian populations are in rapid and concerning decline globally has no merit. One may reasonably assume that if some vampires notice a change in muscle movement, then if if most hormones regulate endocrine glands, then back pain is a fairly common disorder, with which most of the population learns to cope, then if the statement, if either obesity is a serious health problem that can be helped with a sensible diet and exercise program or mottles are in various shades of brown, red, and gray, then it is not the case that either qualifiers are contestants or most bats eat fruit and insects, does not hold, then the claim that frogs feel the heat Amphibian populations are in rapid and concerning decline globally has no merit. We can assume that some vampires notice a change in muscle movement.
|
It is a common misconception that accountability begins when a child is able to reason and discern right from wrong.
|
It is a common misconception that accountability begins when a child is able to reason and discern right from wrong.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then (Either [1] or [2].).
If [0], then (Not (Either [1] or [2].).). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Hypothetical Syllogism:
If [0], then (Either [3] or [4].).
If (Either [3] or [4].), then (Not (Either [1] or [2].).). [SC2-2]
Therefore, If [0], then (Not (Either [1] or [2].).)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Either [3] or [4].), then (Not (Either [1] or [2].).).).), then [5].
If (Not (If (Either [3] or [4].), then (Not (Either [1] or [2].).).).), then (Not [5].). [SC2-3]
Therefore, If (Either [3] or [4].), then (Not (Either [1] or [2].).)..
[SC2-3]
Disjunction Elimination:
Either (If [6], then [7].) or [8].
If (If [6], then [7].), then (If (Not (If (Either [3] or [4].), then (Not (Either [1] or [2].).).).), then (Not [5].).). [SC2-4]
If [8], then (If (Not (If (Either [3] or [4].), then (Not (Either [1] or [2].).).).), then (Not [5].).).
Therefore, If (Not (If (Either [3] or [4].), then (Not (Either [1] or [2].).).).), then (Not [5].)..
[SC2-4]
Modus Ponens:
If [9], then (If (If [6], then [7].), then (If (Not (If (Either [3] or [4].), then (Not (Either [1] or [2].).).).), then (Not [5].).).).
[9]
Therefore, If (If [6], then [7].), then (If (Not (If (Either [3] or [4].), then (Not (Either [1] or [2].).).).), then (Not [5].).)..
|
{0: 'Accountability begins when a child is able to reason and discern right from wrong.', 1: 'Qualifiers are contestants.', 2: 'Most bats eat fruit and insects.', 3: 'Obesity is a serious health problem that can be helped with a sensible diet and exercise program.', 4: 'Mottles are in various shades of brown, red, and gray.', 5: 'Frogs feel the heat Amphibian populations are in rapid and concerning decline globally.', 6: 'Most hormones regulate endocrine glands.', 7: 'Back pain is a fairly common disorder, with which most of the population learns to cope.', 8: 'Luck is the derivative of good planning.', 9: 'Some vampires notice a change in muscle movement.'}
| 5 |
4,956 |
['At least one of two things is true: peregrines generally mate for life, returning each year to the same area and even the same nest, or either plants are the lungs and heart of the planet or rainfalls occur throughout the year.', 'When either most diets consist of organic matter or parasites can cause deformities, and they have found the parasites living alongside the frogs is true, it follows that it is a common misconception that speech therapists are therapists.', 'Either one or both of these statements are true: most diets consist of organic matter, or parasites can cause deformities, and they have found the parasites living alongside the frogs.', 'When some people mistakenly believe that if peregrines generally mate for life, returning each year to the same area and even the same nest, then if it is not the case that dolphins feed in ecosystems, then speech therapists are therapists is true, it follows that storms produce intense rainfall.', 'The statement that states storms produce intense rainfall is false.', 'Should it be the case that either plants are the lungs and heart of the planet or rainfalls occur throughout the year, it follows that bacteria can hide in the grooves of wooden ones.', "Whenever it is true that bacteria can hide in the grooves of wooden ones, 'if it is not the case that dolphins feed in ecosystems, then speech therapists are therapists' is true."]
|
At least one of two things is true: peregrines generally mate for life, returning each year to the same area and even the same nest, or either plants are the lungs and heart of the planet or rainfalls occur throughout the year. When either most diets consist of organic matter or parasites can cause deformities, and they have found the parasites living alongside the frogs is true, it follows that it is a common misconception that speech therapists are therapists. Either one or both of these statements are true: most diets consist of organic matter, or parasites can cause deformities, and they have found the parasites living alongside the frogs. When some people mistakenly believe that if peregrines generally mate for life, returning each year to the same area and even the same nest, then if it is not the case that dolphins feed in ecosystems, then speech therapists are therapists is true, it follows that storms produce intense rainfall. The statement that states storms produce intense rainfall is false. Should it be the case that either plants are the lungs and heart of the planet or rainfalls occur throughout the year, it follows that bacteria can hide in the grooves of wooden ones. Whenever it is true that bacteria can hide in the grooves of wooden ones, 'if it is not the case that dolphins feed in ecosystems, then speech therapists are therapists' is true.
|
Many people rightly believe that dolphins feed in ecosystems.
|
It is not true that dolphins feed in ecosystems.
|
FALSE
|
Modus Tonens:
If (Not [0].), then [1]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Disjunction Elimination:
Either [2] or (Either [3] or [4].).
If [2], then (If (Not [0].), then [1].). [SC2-2]
If (Either [3] or [4].), then (If (Not [0].), then [1].). [SC3-2]
Therefore, If (Not [0].), then [1]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (If (Not [0].), then [1].).).), then [8].
Not [8].
Therefore, If [2], then (If (Not [0].), then [1].)..
[SC3-2]
Hypothetical Syllogism:
If (Either [3] or [4].), then [7].
If [7], then (If (Not [0].), then [1].).
Therefore, If (Either [3] or [4].), then (If (Not [0].), then [1].)..
[SC2-1]
Modus Ponens:
If (Either [5] or [6].), then (Not [1].).
Either [5] or [6].
Therefore, Not [1]..
|
{0: 'Dolphins feed in ecosystems.', 1: 'Speech therapists are therapists.', 2: 'Peregrines generally mate for life, returning each year to the same area and even the same nest.', 3: 'Plants are the lungs and heart of the planet.', 4: 'Rainfalls occur throughout the year.', 5: 'Most diets consist of organic matter.', 6: 'Parasites can cause deformities, and they have found the parasites living alongside the frogs.', 7: 'Bacteria can hide in the grooves of wooden ones.', 8: 'Storms produce intense rainfall.'}
| 5 |
4,330 |
['There is good reason to believe that either tangs are an excelent fish for controlling any algae, some pigmy angels, and many others or dehydration occurs more readily because older people frequently have less of a sense of thirst.', 'Either one or both of these statements are true: most scientists discover bacteria, or if tangs are an excelent fish for controlling any algae, some pigmy angels, and many others, then either engineers to apply basic engineer concepts or muntjacs make their homes out of large broken branches.', 'Some people mistakenly believe that most scientists discover bacteria.', 'Should it be the case that lotus require good rich soil as the lilies do, it follows that either engineers to apply basic engineer concepts or muntjacs make their homes out of large broken branches.', 'The claim that either sheep are grazers or primary growth refers to a. b. c. d. the germination of a seedling has no merit.', 'If the claim that either either sheep are grazers or primary growth refers to a. b. c. d. the germination of a seedling or if dehydration occurs more readily because older people frequently have less of a sense of thirst, then lotus require good rich soil as the lilies do does not reflect reality, then either people use stimulants to stay alert, to get a rapid surge of energy, or to lose weight or some atoms are part of gelatin.', 'We know that the claim that either people use stimulants to stay alert, to get a rapid surge of energy, or to lose weight or some atoms are part of gelatin is false.']
|
There is good reason to believe that either tangs are an excelent fish for controlling any algae, some pigmy angels, and many others or dehydration occurs more readily because older people frequently have less of a sense of thirst. Either one or both of these statements are true: most scientists discover bacteria, or if tangs are an excelent fish for controlling any algae, some pigmy angels, and many others, then either engineers to apply basic engineer concepts or muntjacs make their homes out of large broken branches. Some people mistakenly believe that most scientists discover bacteria. Should it be the case that lotus require good rich soil as the lilies do, it follows that either engineers to apply basic engineer concepts or muntjacs make their homes out of large broken branches. The claim that either sheep are grazers or primary growth refers to a. b. c. d. the germination of a seedling has no merit. If the claim that either either sheep are grazers or primary growth refers to a. b. c. d. the germination of a seedling or if dehydration occurs more readily because older people frequently have less of a sense of thirst, then lotus require good rich soil as the lilies do does not reflect reality, then either people use stimulants to stay alert, to get a rapid surge of energy, or to lose weight or some atoms are part of gelatin. We know that the claim that either people use stimulants to stay alert, to get a rapid surge of energy, or to lose weight or some atoms are part of gelatin is false.
|
We know that either engineers to apply basic engineer concepts or muntjacs make their homes out of large broken branches.
|
There is good reason to believe that either engineers work in teams or muntjacs cause injuries.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3].
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC2-1]
Disjunctive Syllogism:
Either [5] or (If [2], then (Either [0] or [1].).).
Not [5].
Therefore, If [2], then (Either [0] or [1].)..
[SC3-1]
Hypothetical Syllogism:
If [3], then [4]. [SC1-2]
If [4], then (Either [0] or [1].).
Therefore, If [3], then (Either [0] or [1].)..
[SC1-2]
Disjunctive Syllogism:
Either (Either [6] or [7].) or (If [3], then [4].). [SC1-3]
Not (Either [6] or [7].).
Therefore, If [3], then [4]..
[SC1-3]
Modus Tonens:
If (Not (Either (Either [6] or [7].) or (If [3], then [4].).).), then (Either [8] or [9].).
Not (Either [8] or [9].).
Therefore, Either (Either [6] or [7].) or (If [3], then [4].)..
|
{0: 'Engineers to apply basic engineer concepts.', 1: 'Muntjacs make their homes out of large broken branches.', 2: 'Tangs are an excelent fish for controlling any algae, some pigmy angels, and many others.', 3: 'Dehydration occurs more readily because older people frequently have less of a sense of thirst.', 4: 'Lotus require good rich soil as the lilies do.', 5: 'Most scientists discover bacteria.', 6: 'Sheep are grazers.', 7: 'Primary growth refers to a. b. c. d. the germination of a seedling.', 8: 'People use stimulants to stay alert, to get a rapid surge of energy, or to lose weight.', 9: 'Some atoms are part of gelatin.'}
| 5 |
4,352 |
['We can assume that pathogenic microorganisms reproduce by cell division.', "Either one or both of these statements are true: if terrapins have (part) carapaces, then some pork tapeworms live up to years, or if pathogenic microorganisms reproduce by cell division, then rock mediates thrombin's endothelial barrier dysfunction.", 'At least one of two things is true: either animals show responses or spades have (part) handles, or if if terrapins have (part) carapaces, then some pork tapeworms live up to years, then traits are relatively permanent and enduring qualities that a person shows in most situations.', 'The claim that either animals show responses or spades have (part) handles does not correspond with reality.', 'At least one of two things is true: estate planning is simply another form of financial planning, or proteins also supply energy when fed in excess of protein needs.', "Provided that estate planning is simply another form of financial planning, we know that if if terrapins have (part) carapaces, then some pork tapeworms live up to years, then the statement that 'traits are relatively permanent and enduring qualities that a person shows in most situations' is incorrect.", "On the condition that proteins also supply energy when fed in excess of protein needs, it is definitely the case that if if terrapins have (part) carapaces, then some pork tapeworms live up to years, then the statement that 'traits are relatively permanent and enduring qualities that a person shows in most situations' is incorrect."]
|
We can assume that pathogenic microorganisms reproduce by cell division. Either one or both of these statements are true: if terrapins have (part) carapaces, then some pork tapeworms live up to years, or if pathogenic microorganisms reproduce by cell division, then rock mediates thrombin's endothelial barrier dysfunction. At least one of two things is true: either animals show responses or spades have (part) handles, or if if terrapins have (part) carapaces, then some pork tapeworms live up to years, then traits are relatively permanent and enduring qualities that a person shows in most situations. The claim that either animals show responses or spades have (part) handles does not correspond with reality. At least one of two things is true: estate planning is simply another form of financial planning, or proteins also supply energy when fed in excess of protein needs. Provided that estate planning is simply another form of financial planning, we know that if if terrapins have (part) carapaces, then some pork tapeworms live up to years, then the statement that 'traits are relatively permanent and enduring qualities that a person shows in most situations' is incorrect. On the condition that proteins also supply energy when fed in excess of protein needs, it is definitely the case that if if terrapins have (part) carapaces, then some pork tapeworms live up to years, then the statement that 'traits are relatively permanent and enduring qualities that a person shows in most situations' is incorrect.
|
The statement 'rock mediates thrombin's endothelial barrier dysfunction' can be considered true.
|
We know that the claim that rock mediates thrombin's endothelial barrier dysfunction is false.
|
FALSE
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1]
Therefore, [0].
[SC1-1]
Disjunctive Syllogism:
Either (If [2], then [3].) or (If [1], then [0].).
Not (If [2], then [3].). [SC2-2]
Therefore, If [1], then [0]..
[SC2-2]
Reductio Ad Absurdum:
If (If [2], then [3].), then [4]. [SC1-3]
If (If [2], then [3].), then (Not [4].). [SC2-3]
Therefore, Not (If [2], then [3].)..
[SC1-3]
Disjunctive Syllogism:
Either (Either [5] or [6].) or (If (If [2], then [3].), then [4].).
Not (Either [5] or [6].).
Therefore, If (If [2], then [3].), then [4]..
[SC2-3]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (If [2], then [3].), then (Not [4].).).
If [8], then (If (If [2], then [3].), then (Not [4].).).
Therefore, If (If [2], then [3].), then (Not [4].)..
|
{0: "Rock mediates thrombin's endothelial barrier dysfunction.", 1: 'Pathogenic microorganisms reproduce by cell division.', 2: 'Terrapins have (part) carapaces.', 3: 'Some pork tapeworms live up to years.', 4: 'Traits are relatively permanent and enduring qualities that a person shows in most situations.', 5: 'Animals show responses.', 6: 'Spades have (part) handles.', 7: 'Estate planning is simply another form of financial planning.', 8: 'Proteins also supply energy when fed in excess of protein needs.'}
| 5 |
4,857 |
['There is good reason to believe that either light can move an electron up to an excited state that occupies a higher orbital or most birds kill insects.', "Should it be the case that light can move an electron up to an excited state that occupies a higher orbital , it follows that the notion that 'either horsepower is a power unit or most termites are inside walls' is untrue.", 'Should it be the case that either saliva is part of mouths or child prodigies are usually abnormal, unfulfilled adults, it follows that if light can move an electron up to an excited state that occupies a higher orbital , then power laws are the statistical counterpart of punctuated equilibrium.', 'Either saliva is part of mouths or child prodigies are usually abnormal, unfulfilled adults.', "Provided that the notion that 'if power laws are the statistical counterpart of punctuated equilibrium, then either horsepower is a power unit or most termites are inside walls' is untrue, we know that either some zoologists work with animals in the field or intolerance is intolerance.", "Assuming the notion that 'if power laws are the statistical counterpart of punctuated equilibrium, then either horsepower is a power unit or most termites are inside walls' is untrue, we know that the statement, either some zoologists work with animals in the field or intolerance is intolerance, does not hold."]
|
There is good reason to believe that either light can move an electron up to an excited state that occupies a higher orbital or most birds kill insects. Should it be the case that light can move an electron up to an excited state that occupies a higher orbital , it follows that the notion that 'either horsepower is a power unit or most termites are inside walls' is untrue. Should it be the case that either saliva is part of mouths or child prodigies are usually abnormal, unfulfilled adults, it follows that if light can move an electron up to an excited state that occupies a higher orbital , then power laws are the statistical counterpart of punctuated equilibrium. Either saliva is part of mouths or child prodigies are usually abnormal, unfulfilled adults. Provided that the notion that 'if power laws are the statistical counterpart of punctuated equilibrium, then either horsepower is a power unit or most termites are inside walls' is untrue, we know that either some zoologists work with animals in the field or intolerance is intolerance. Assuming the notion that 'if power laws are the statistical counterpart of punctuated equilibrium, then either horsepower is a power unit or most termites are inside walls' is untrue, we know that the statement, either some zoologists work with animals in the field or intolerance is intolerance, does not hold.
|
It is the case that most birds kill insects.
|
The statement that 'most birds kill insects' is incorrect.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Reductio Ad Absurdum:
If [1], then (Either [2] or [3].). [SC1-2]
If [1], then (Not (Either [2] or [3].).).
Therefore, Not [1]..
[SC1-2]
Hypothetical Syllogism:
If [1], then [4]. [SC1-3]
If [4], then (Either [2] or [3].). [SC2-3]
Therefore, If [1], then (Either [2] or [3].)..
[SC1-3]
Modus Ponens:
If (Either [7] or [8].), then (If [1], then [4].).
Either [7] or [8].
Therefore, If [1], then [4]..
[SC2-3]
Reductio Ad Absurdum:
If (Not (If [4], then (Either [2] or [3].).).), then (Either [5] or [6].).
If (Not (If [4], then (Either [2] or [3].).).), then (Not (Either [5] or [6].).).
Therefore, If [4], then (Either [2] or [3].)..
|
{0: 'Most birds kill insects.', 1: 'Light can move an electron up to an excited state that occupies a higher orbital .', 2: 'Horsepower is a power unit.', 3: 'Most termites are inside walls.', 4: 'Power laws are the statistical counterpart of punctuated equilibrium.', 5: 'Some zoologists work with animals in the field.', 6: 'Intolerance is intolerance.', 7: 'Saliva is part of mouths.', 8: 'Child prodigies are usually abnormal, unfulfilled adults.'}
| 5 |
4,766 |
["If the notion that 'either doves are signs of life or most wild pepper grows in patches' is untrue, then cystine disulfides involved in catalysis of peroxide reduction.", 'Given that globulin is a protein fraction, it can be inferred that if doves are signs of life, then either physical healing starts with the healing to get the peace or divine involvement is seen in the belief of the truth.', "The statement 'globulin is a protein fraction' can be considered true.", 'It is rational to believe that either either canine distemper is extremely contagious or whales have eyes or streets can become swift moving rivers, while basements can fill with water.', 'Assuming either canine distemper is extremely contagious or whales have eyes, we know that if most wild pepper grows in patches, then either physical healing starts with the healing to get the peace or divine involvement is seen in the belief of the truth.', 'Should it be the case that streets can become swift moving rivers, while basements can fill with water, it follows that if most wild pepper grows in patches, then either physical healing starts with the healing to get the peace or divine involvement is seen in the belief of the truth.', 'If cystine disulfides involved in catalysis of peroxide reduction, then alcoholism is characterized by craving, uncontrolled drinking, tolerance and physical dependence.', 'Those that suggest alcoholism is characterized by craving, uncontrolled drinking, tolerance and physical dependence are wrong.']
|
If the notion that 'either doves are signs of life or most wild pepper grows in patches' is untrue, then cystine disulfides involved in catalysis of peroxide reduction. Given that globulin is a protein fraction, it can be inferred that if doves are signs of life, then either physical healing starts with the healing to get the peace or divine involvement is seen in the belief of the truth. The statement 'globulin is a protein fraction' can be considered true. It is rational to believe that either either canine distemper is extremely contagious or whales have eyes or streets can become swift moving rivers, while basements can fill with water. Assuming either canine distemper is extremely contagious or whales have eyes, we know that if most wild pepper grows in patches, then either physical healing starts with the healing to get the peace or divine involvement is seen in the belief of the truth. Should it be the case that streets can become swift moving rivers, while basements can fill with water, it follows that if most wild pepper grows in patches, then either physical healing starts with the healing to get the peace or divine involvement is seen in the belief of the truth. If cystine disulfides involved in catalysis of peroxide reduction, then alcoholism is characterized by craving, uncontrolled drinking, tolerance and physical dependence. Those that suggest alcoholism is characterized by craving, uncontrolled drinking, tolerance and physical dependence are wrong.
|
It is rational to believe that either physical healing starts with the healing to get the peace or divine involvement is seen in the belief of the truth.
|
We know that either physical Healings involve a restoration of our bodies to health and wholeness or shipwrecks have (part) walls.
|
Uncertain
|
Disjunction Elimination:
Either [2] or [3]. [SC1-1]
If [2], then (Either [0] or [1].). [SC2-1]
If [3], then (Either [0] or [1].). [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Tonens:
If (Not (Either [2] or [3].).), then [8].
Not [8]. [SC2-2]
Therefore, Either [2] or [3]..
[SC2-2]
Modus Tonens:
If [8], then [9].
Not [9].
Therefore, Not [8]..
[SC2-1]
Modus Ponens:
If [4], then (If [2], then (Either [0] or [1].).).
[4]
Therefore, If [2], then (Either [0] or [1].)..
[SC3-1]
Disjunction Elimination:
Either (Either [5] or [6].) or [7].
If (Either [5] or [6].), then (If [3], then (Either [0] or [1].).).
If [7], then (If [3], then (Either [0] or [1].).).
Therefore, If [3], then (Either [0] or [1].)..
|
{0: 'Physical healing starts with the healing to get the peace.', 1: 'Divine involvement is seen in the belief of the truth.', 2: 'Doves are signs of life.', 3: 'Most wild pepper grows in patches.', 4: 'Globulin is a protein fraction.', 5: 'Canine distemper is extremely contagious.', 6: 'Whales have eyes.', 7: 'Streets can become swift moving rivers, while basements can fill with water.', 8: 'Cystine disulfides involved in catalysis of peroxide reduction.', 9: 'Alcoholism is characterized by craving, uncontrolled drinking, tolerance and physical dependence.'}
| 5 |
4,039 |
['There is good reason to believe that either a weir is a dam or grids are located in templates.', 'There is good reason to believe that either most infection is caused by bacteria or athletic ability increases the longer the child takes lessons.', 'Assuming the statement that states if most infection is caused by bacteria, then the claim that a weir is a dam has no merit is false, we know that authority is the supreme test of faith and the fountain of faith as well.', 'Provided that the statement that states if most infection is caused by bacteria, then the claim that a weir is a dam has no merit is false, we know that the claim that authority is the supreme test of faith and the fountain of faith as well is false.', 'Many people rightly believe that some turtles seek shelter.', 'We know that either rain fills ponds or if some turtles seek shelter, then if athletic ability increases the longer the child takes lessons, then the claim that a weir is a dam has no merit.', 'It is not true that rain fills ponds.']
|
There is good reason to believe that either a weir is a dam or grids are located in templates. There is good reason to believe that either most infection is caused by bacteria or athletic ability increases the longer the child takes lessons. Assuming the statement that states if most infection is caused by bacteria, then the claim that a weir is a dam has no merit is false, we know that authority is the supreme test of faith and the fountain of faith as well. Provided that the statement that states if most infection is caused by bacteria, then the claim that a weir is a dam has no merit is false, we know that the claim that authority is the supreme test of faith and the fountain of faith as well is false. Many people rightly believe that some turtles seek shelter. We know that either rain fills ponds or if some turtles seek shelter, then if athletic ability increases the longer the child takes lessons, then the claim that a weir is a dam has no merit. It is not true that rain fills ponds.
|
It is reasonable to believe that grids are located in templates.
|
It is reasonable to believe that grids are located in templates.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].). [SC3-2]
Therefore, Not [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [2], then (Not [1].).).), then [5].
If (Not (If [2], then (Not [1].).).), then (Not [5].).
Therefore, If [2], then (Not [1].)..
[SC3-2]
Modus Ponens:
If [4], then (If [3], then (Not [1].).). [SC1-3]
[4]
Therefore, If [3], then (Not [1].)..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [4], then (If [3], then (Not [1].).).).
Not [6].
Therefore, If [4], then (If [3], then (Not [1].).)..
|
{0: 'Grids are located in templates.', 1: 'A weir is a dam.', 2: 'Most infection is caused by bacteria.', 3: 'Athletic ability increases the longer the child takes lessons.', 4: 'Some turtles seek shelter.', 5: 'Authority is the supreme test of faith and the fountain of faith as well.', 6: 'Rain fills ponds.'}
| 5 |
4,852 |
['There is good reason to believe that either seaweeds are vascular plants or if meditation is the bath of the mind, just as a water bath freshens the body, then either horses chew vegetation or women lose pounds.', 'The claim that seaweeds are vascular plants does not reflect reality.', 'When either horses chew vegetation or women lose pounds is true, it follows that digestive herbs help with abdominal discomfort, water metabolism and stimulate Blood replenishment.', "Whenever it is true that the statement 'if either horses chew vegetation or women lose pounds, then the notion that 'digestive herbs help with abdominal discomfort, water metabolism and stimulate Blood replenishment' is untrue' can be considered false, 'the claim that obesity also causes liver and kidney disease does not reflect reality' is true.", "Once we know it is not the case that if the statement 'if either horses chew vegetation or women lose pounds, then the notion that 'digestive herbs help with abdominal discomfort, water metabolism and stimulate Blood replenishment' is untrue' can be considered false, then obesity also causes liver and kidney disease, we also know that collision detection is applied when two or more devices transmit at the same time.", "Assuming it is not the case that if the statement 'if either horses chew vegetation or women lose pounds, then the notion that 'digestive herbs help with abdominal discomfort, water metabolism and stimulate Blood replenishment' is untrue' can be considered false, then obesity also causes liver and kidney disease, we know that the claim that collision detection is applied when two or more devices transmit at the same time is false."]
|
There is good reason to believe that either seaweeds are vascular plants or if meditation is the bath of the mind, just as a water bath freshens the body, then either horses chew vegetation or women lose pounds. The claim that seaweeds are vascular plants does not reflect reality. When either horses chew vegetation or women lose pounds is true, it follows that digestive herbs help with abdominal discomfort, water metabolism and stimulate Blood replenishment. Whenever it is true that the statement 'if either horses chew vegetation or women lose pounds, then the notion that 'digestive herbs help with abdominal discomfort, water metabolism and stimulate Blood replenishment' is untrue' can be considered false, 'the claim that obesity also causes liver and kidney disease does not reflect reality' is true. Once we know it is not the case that if the statement 'if either horses chew vegetation or women lose pounds, then the notion that 'digestive herbs help with abdominal discomfort, water metabolism and stimulate Blood replenishment' is untrue' can be considered false, then obesity also causes liver and kidney disease, we also know that collision detection is applied when two or more devices transmit at the same time. Assuming it is not the case that if the statement 'if either horses chew vegetation or women lose pounds, then the notion that 'digestive herbs help with abdominal discomfort, water metabolism and stimulate Blood replenishment' is untrue' can be considered false, then obesity also causes liver and kidney disease, we know that the claim that collision detection is applied when two or more devices transmit at the same time is false.
|
Some people mistakenly believe that meditation is the bath of the mind, just as a water bath freshens the body.
|
It is a simple truth that meditation is the bath of the mind, just as a water bath freshens the body.
|
FALSE
|
Modus Tonens:
If [0], then (Either [1] or [2].). [SC1-1]
Not (Either [1] or [2].). [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [4] or (If [0], then (Either [1] or [2].).).
Not [4].
Therefore, If [0], then (Either [1] or [2].)..
[SC2-1]
Reductio Ad Absurdum:
If (Either [1] or [2].), then [3].
If (Either [1] or [2].), then (Not [3].). [SC2-2]
Therefore, Not (Either [1] or [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If (Either [1] or [2].), then (Not [3].).).), then [5]. [SC1-3]
If (Not (If (Either [1] or [2].), then (Not [3].).).), then (Not [5].).
Therefore, If (Either [1] or [2].), then (Not [3].)..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (If (Either [1] or [2].), then (Not [3].).).), then [5].).), then [6].
If (Not (If (Not (If (Either [1] or [2].), then (Not [3].).).), then [5].).), then (Not [6].).
Therefore, If (Not (If (Either [1] or [2].), then (Not [3].).).), then [5]..
|
{0: 'Meditation is the bath of the mind, just as a water bath freshens the body.', 1: 'Horses chew vegetation.', 2: 'Women lose pounds.', 3: 'Digestive herbs help with abdominal discomfort, water metabolism and stimulate Blood replenishment.', 4: 'Seaweeds are vascular plants.', 5: 'Obesity also causes liver and kidney disease.', 6: 'Collision detection is applied when two or more devices transmit at the same time.'}
| 5 |
4,875 |
['The statement, if calcium salts form the bulk of the inorganic material in bone, then a league is association, does not hold.', "So long as some diets cause permanent damage, 'hydrocortisone passes into breast milk' is true.", 'Once we know many people like to carry ski-poles to help with stability, we also know that if those that suggest if hydrocortisone passes into breast milk, then if calcium salts form the bulk of the inorganic material in bone, then a league is association are wrong, then kyphosis is spinal curvature, usually indicated by a forward bow in the upper back.', 'Those that suggest many people like to carry ski-poles to help with stability are right.', 'There is good reason to believe that either exorcism is the treatment for severe cases or ionic silver is more toxic to aquatic organisms than silver compounds.', 'One may reasonably assume that if exorcism is the treatment for severe cases, then if those that suggest if hydrocortisone passes into breast milk, then if calcium salts form the bulk of the inorganic material in bone, then a league is association are wrong, then the claim that kyphosis is spinal curvature, usually indicated by a forward bow in the upper back does not correspond with reality.', "So long as ionic silver is more toxic to aquatic organisms than silver compounds, 'if those that suggest if hydrocortisone passes into breast milk, then if calcium salts form the bulk of the inorganic material in bone, then a league is association are wrong, then the claim that kyphosis is spinal curvature, usually indicated by a forward bow in the upper back does not correspond with reality' is true."]
|
The statement, if calcium salts form the bulk of the inorganic material in bone, then a league is association, does not hold. So long as some diets cause permanent damage, 'hydrocortisone passes into breast milk' is true. Once we know many people like to carry ski-poles to help with stability, we also know that if those that suggest if hydrocortisone passes into breast milk, then if calcium salts form the bulk of the inorganic material in bone, then a league is association are wrong, then kyphosis is spinal curvature, usually indicated by a forward bow in the upper back. Those that suggest many people like to carry ski-poles to help with stability are right. There is good reason to believe that either exorcism is the treatment for severe cases or ionic silver is more toxic to aquatic organisms than silver compounds. One may reasonably assume that if exorcism is the treatment for severe cases, then if those that suggest if hydrocortisone passes into breast milk, then if calcium salts form the bulk of the inorganic material in bone, then a league is association are wrong, then the claim that kyphosis is spinal curvature, usually indicated by a forward bow in the upper back does not correspond with reality. So long as ionic silver is more toxic to aquatic organisms than silver compounds, 'if those that suggest if hydrocortisone passes into breast milk, then if calcium salts form the bulk of the inorganic material in bone, then a league is association are wrong, then the claim that kyphosis is spinal curvature, usually indicated by a forward bow in the upper back does not correspond with reality' is true.
|
The claim that some diets cause permanent damage is false.
|
It is rational to agree that some diets cause permanent damage.
|
FALSE
|
Modus Tonens:
If [0], then (If [1], then [2].). [SC1-1]
Not (If [1], then [2].).
Therefore, Not [0]..
[SC1-1]
Hypothetical Syllogism:
If [0], then [3].
If [3], then (If [1], then [2].). [SC2-2]
Therefore, If [0], then (If [1], then [2].)..
[SC2-2]
Reductio Ad Absurdum:
If (Not (If [3], then (If [1], then [2].).).), then [4]. [SC1-3]
If (Not (If [3], then (If [1], then [2].).).), then (Not [4].). [SC2-3]
Therefore, If [3], then (If [1], then [2].)..
[SC1-3]
Modus Ponens:
If [5], then (If (Not (If [3], then (If [1], then [2].).).), then [4].).
[5]
Therefore, If (Not (If [3], then (If [1], then [2].).).), then [4]..
[SC2-3]
Disjunction Elimination:
Either [6] or [7].
If [6], then (If (Not (If [3], then (If [1], then [2].).).), then (Not [4].).).
If [7], then (If (Not (If [3], then (If [1], then [2].).).), then (Not [4].).).
Therefore, If (Not (If [3], then (If [1], then [2].).).), then (Not [4].)..
|
{0: 'Some diets cause permanent damage.', 1: 'Calcium salts form the bulk of the inorganic material in bone.', 2: 'A league is association.', 3: 'Hydrocortisone passes into breast milk.', 4: 'Kyphosis is spinal curvature, usually indicated by a forward bow in the upper back.', 5: 'Many people like to carry ski-poles to help with stability.', 6: 'Exorcism is the treatment for severe cases.', 7: 'Ionic silver is more toxic to aquatic organisms than silver compounds.'}
| 5 |
4,156 |
['We know that at least one of two things is true: some trees require summer irrigation, or untreated chlamydia can lead to infertility in both men and women.', 'Provided that some trees require summer irrigation, we know that cadets are people.', 'It is fair to say that humans have a shared biology with other vertebrates and a shared contamination.', "When many parents are unaware children can have glaucoma is true, it follows that if the statement that 'if untreated chlamydia can lead to infertility in both men and women, then cadets are people' is incorrect, then the statement that 'golf is an endeavor that produces character, sportsmanship, and pride' is incorrect.", 'many parents are unaware children can have glaucoma.', "We know that at least one of two things is true: some calves have reddish coats, or if humans have a shared biology with other vertebrates and a shared contamination, then if the statement that 'if untreated chlamydia can lead to infertility in both men and women, then cadets are people' is incorrect, then golf is an endeavor that produces character, sportsmanship, and pride.", 'It is not true that some calves have reddish coats.']
|
We know that at least one of two things is true: some trees require summer irrigation, or untreated chlamydia can lead to infertility in both men and women. Provided that some trees require summer irrigation, we know that cadets are people. It is fair to say that humans have a shared biology with other vertebrates and a shared contamination. When many parents are unaware children can have glaucoma is true, it follows that if the statement that 'if untreated chlamydia can lead to infertility in both men and women, then cadets are people' is incorrect, then the statement that 'golf is an endeavor that produces character, sportsmanship, and pride' is incorrect. many parents are unaware children can have glaucoma. We know that at least one of two things is true: some calves have reddish coats, or if humans have a shared biology with other vertebrates and a shared contamination, then if the statement that 'if untreated chlamydia can lead to infertility in both men and women, then cadets are people' is incorrect, then golf is an endeavor that produces character, sportsmanship, and pride. It is not true that some calves have reddish coats.
|
It is reasonable to believe that cadets are people.
|
The statement 'cadets are people' can be considered false.
|
FALSE
|
Disjunction Elimination:
Either [1] or [2].
If [1], then [0].
If [2], then [0]. [SC3-1]
Therefore, [0].
[SC3-1]
Reductio Ad Absurdum:
If (Not (If [2], then [0].).), then [3]. [SC1-2]
If (Not (If [2], then [0].).), then (Not [3].). [SC2-2]
Therefore, If [2], then [0]..
[SC1-2]
Modus Ponens:
If [4], then (If (Not (If [2], then [0].).), then [3].). [SC1-3]
[4]
Therefore, If (Not (If [2], then [0].).), then [3]..
[SC1-3]
Disjunctive Syllogism:
Either [6] or (If [4], then (If (Not (If [2], then [0].).), then [3].).).
Not [6].
Therefore, If [4], then (If (Not (If [2], then [0].).), then [3].)..
[SC2-2]
Modus Ponens:
If [5], then (If (Not (If [2], then [0].).), then (Not [3].).).
[5]
Therefore, If (Not (If [2], then [0].).), then (Not [3].)..
|
{0: 'Cadets are people.', 1: 'Some trees require summer irrigation.', 2: 'Untreated chlamydia can lead to infertility in both men and women.', 3: 'Golf is an endeavor that produces character, sportsmanship, and pride.', 4: 'Humans have a shared biology with other vertebrates and a shared contamination.', 5: 'Many parents are unaware children can have glaucoma.', 6: 'Some calves have reddish coats.'}
| 5 |
4,222 |
['One may reasonably assume that if allowances promote responsibility and show children how to manage money, then spring loaded door traps use a spring latch on the door to open and close it.', 'The statement that states farmers are the largest occupational group among suicides in Powys is false.', "When it is not true that if the notion that 'if sides are surfaces, then allowances promote responsibility and show children how to manage money' is untrue, then farmers are the largest occupational group among suicides in Powys is true, it follows that coffee allows people to sit relax, talk, and socialize without becoming intoxicated.", 'It is not true that ciliates have a very complex organization.', 'There is good reason to believe that either if risk is shown in levels of standard deviation, a commonly used measure of volatility, then source codes are the designs that make software and Internet sites function or either ciliates have a very complex organization or the statement, coffee allows people to sit relax, talk, and socialize without becoming intoxicated, does not hold.', 'The statement, if risk is shown in levels of standard deviation, a commonly used measure of volatility, then source codes are the designs that make software and Internet sites function, does not hold.']
|
One may reasonably assume that if allowances promote responsibility and show children how to manage money, then spring loaded door traps use a spring latch on the door to open and close it. The statement that states farmers are the largest occupational group among suicides in Powys is false. When it is not true that if the notion that 'if sides are surfaces, then allowances promote responsibility and show children how to manage money' is untrue, then farmers are the largest occupational group among suicides in Powys is true, it follows that coffee allows people to sit relax, talk, and socialize without becoming intoxicated. It is not true that ciliates have a very complex organization. There is good reason to believe that either if risk is shown in levels of standard deviation, a commonly used measure of volatility, then source codes are the designs that make software and Internet sites function or either ciliates have a very complex organization or the statement, coffee allows people to sit relax, talk, and socialize without becoming intoxicated, does not hold. The statement, if risk is shown in levels of standard deviation, a commonly used measure of volatility, then source codes are the designs that make software and Internet sites function, does not hold.
|
When sides are surfaces is true, it follows that spring loaded door traps use a spring latch on the door to open and close it.
|
We know that the claim that if sides are surfaces, then spring loaded door traps use a spring latch on the door to open and close it is false.
|
FALSE
|
Hypothetical Syllogism:
If [0], then [2]. [SC1-1]
If [2], then [1].
Therefore, If [0], then [1]..
[SC1-1]
Modus Tonens:
If (Not (If [0], then [2].).), then [3]. [SC1-2]
Not [3].
Therefore, If [0], then [2]..
[SC1-2]
Modus Tonens:
If (Not (If (Not (If [0], then [2].).), then [3].).), then [4].
Not [4]. [SC2-3]
Therefore, If (Not (If [0], then [2].).), then [3]..
[SC2-3]
Disjunctive Syllogism:
Either [5] or (Not [4].). [SC1-4]
Not [5].
Therefore, Not [4]..
[SC1-4]
Disjunctive Syllogism:
Either (If [6], then [7].) or (Either [5] or (Not [4].).).
Not (If [6], then [7].).
Therefore, Either [5] or (Not [4].)..
|
{0: 'Sides are surfaces.', 1: 'Spring loaded door traps use a spring latch on the door to open and close it.', 2: 'Allowances promote responsibility and show children how to manage money.', 3: 'Farmers are the largest occupational group among suicides in Powys.', 4: 'Coffee allows people to sit relax, talk, and socialize without becoming intoxicated.', 5: 'Ciliates have a very complex organization.', 6: 'Risk is shown in levels of standard deviation, a commonly used measure of volatility.', 7: 'Source codes are the designs that make software and Internet sites function.'}
| 5 |
4,641 |
['At least one of two things is true: laminitis can be acute or chronic, or organisms have symmetry.', 'One may reasonably assume that if laminitis can be acute or chronic, then hairdressers have (part) plasma membranes.', "So long as identity isa cognition, 'those that suggest hairdressers have (part) plasma membranes are wrong' is true.", 'On the condition that organisms have symmetry, it is definitely the case that cedar chests provide natural moth and insect protection for textiles.', 'One may reasonably assume that if cedar chests provide natural moth and insect protection for textiles, then some medical people say steroid use increases injuries.', 'It is a fact that either healthy snacks help to bridge the gap between meals or incontinence can occur in mild or severe forms.', "So long as healthy snacks help to bridge the gap between meals, 'identity isa cognition' is true.", 'If incontinence can occur in mild or severe forms, then identity isa cognition.']
|
At least one of two things is true: laminitis can be acute or chronic, or organisms have symmetry. One may reasonably assume that if laminitis can be acute or chronic, then hairdressers have (part) plasma membranes. So long as identity isa cognition, 'those that suggest hairdressers have (part) plasma membranes are wrong' is true. On the condition that organisms have symmetry, it is definitely the case that cedar chests provide natural moth and insect protection for textiles. One may reasonably assume that if cedar chests provide natural moth and insect protection for textiles, then some medical people say steroid use increases injuries. It is a fact that either healthy snacks help to bridge the gap between meals or incontinence can occur in mild or severe forms. So long as healthy snacks help to bridge the gap between meals, 'identity isa cognition' is true. If incontinence can occur in mild or severe forms, then identity isa cognition.
|
The statement 'some medical people say steroid use increases injuries' can be considered true.
|
Medical people know diets for children are damaging and they still advocate diets.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or [0]. [SC1-1]
Not [1]. [SC2-1]
Therefore, [0].
[SC1-1]
Constructive Dilemma:
Either [3] or [4].
If [3], then [1].
If [4], then [0]. [SC3-2]
Therefore, Either [1] or [0]..
[SC3-2]
Hypothetical Syllogism:
If [4], then [7].
If [7], then [0].
Therefore, If [4], then [0]..
[SC2-1]
Modus Ponens:
If [2], then (Not [1].).
[2] [SC2-2]
Therefore, Not [1]..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then [2].
If [6], then [2].
Therefore, [2].
|
{0: 'Some medical people say steroid use increases injuries.', 1: 'Hairdressers have (part) plasma membranes.', 2: 'Identity isa cognition.', 3: 'Laminitis can be acute or chronic.', 4: 'Organisms have symmetry.', 5: 'Healthy snacks help to bridge the gap between meals.', 6: 'Incontinence can occur in mild or severe forms.', 7: 'Cedar chests provide natural moth and insect protection for textiles.'}
| 5 |
4,210 |
['One may reasonably assume that if if buckles are connectors, then sand is used for sandboxs, then carbon is diamond, the hardest substance known.', 'There is good reason to believe that either saints go to sleep spiritually or shrubs are immediately noticeable in the landscape because they are at eye level.', "So long as it is not the case that if agriculture uses gravity flow in elevators, in feed plants, and in soils, then bond funds invest in corporate and government bonds, 'marine life is abundant and pristine' is true.", 'Assuming new plants develop from seeds or sometimes from offshoots, we know that if either saints go to sleep spiritually or shrubs are immediately noticeable in the landscape because they are at eye level, then either if buckles are connectors, then sand is used for sandboxs or agriculture uses gravity flow in elevators, in feed plants, and in soils.', 'The claim that new plants develop from seeds or sometimes from offshoots is true.', "There is good reason to believe that either arthritis is the most common cause of front lameness in dogs and the culprit is the elbow or the statement 'marine life is abundant and pristine' can be considered false.", 'It is not true that arthritis is the most common cause of front lameness in dogs and the culprit is the elbow.']
|
One may reasonably assume that if if buckles are connectors, then sand is used for sandboxs, then carbon is diamond, the hardest substance known. There is good reason to believe that either saints go to sleep spiritually or shrubs are immediately noticeable in the landscape because they are at eye level. So long as it is not the case that if agriculture uses gravity flow in elevators, in feed plants, and in soils, then bond funds invest in corporate and government bonds, 'marine life is abundant and pristine' is true. Assuming new plants develop from seeds or sometimes from offshoots, we know that if either saints go to sleep spiritually or shrubs are immediately noticeable in the landscape because they are at eye level, then either if buckles are connectors, then sand is used for sandboxs or agriculture uses gravity flow in elevators, in feed plants, and in soils. The claim that new plants develop from seeds or sometimes from offshoots is true. There is good reason to believe that either arthritis is the most common cause of front lameness in dogs and the culprit is the elbow or the statement 'marine life is abundant and pristine' can be considered false. It is not true that arthritis is the most common cause of front lameness in dogs and the culprit is the elbow.
|
It is rational to believe that either carbon is diamond, the hardest substance known or bond funds invest in corporate and government bonds.
|
We know that the claim that either carbon is diamond, the hardest substance known or bond funds invest in corporate and government bonds is false.
|
FALSE
|
Constructive Dilemma:
Either (If [2], then [3].) or [4]. [SC1-1]
If (If [2], then [3].), then [0].
If [4], then [1]. [SC3-1]
Therefore, Either [0] or [1]..
[SC1-1]
Modus Ponens:
If (Either [6] or [7].), then (Either (If [2], then [3].) or [4].). [SC1-2]
Either [6] or [7].
Therefore, Either (If [2], then [3].) or [4]..
[SC1-2]
Modus Ponens:
If [8], then (If (Either [6] or [7].), then (Either (If [2], then [3].) or [4].).).
[8]
Therefore, If (Either [6] or [7].), then (Either (If [2], then [3].) or [4].)..
[SC3-1]
Modus Tonens:
If (Not (If [4], then [1].).), then [5].
Not [5]. [SC2-2]
Therefore, If [4], then [1]..
[SC2-2]
Disjunctive Syllogism:
Either [9] or (Not [5].).
Not [9].
Therefore, Not [5]..
|
{0: 'Carbon is diamond, the hardest substance known.', 1: 'Bond funds invest in corporate and government bonds.', 2: 'Buckles are connectors.', 3: 'Sand is used for sandboxs.', 4: 'Agriculture uses gravity flow in elevators, in feed plants, and in soils.', 5: 'Marine life is abundant and pristine.', 6: 'Saints go to sleep spiritually.', 7: 'Shrubs are immediately noticeable in the landscape because they are at eye level.', 8: 'New plants develop from seeds or sometimes from offshoots.', 9: 'Arthritis is the most common cause of front lameness in dogs and the culprit is the elbow.'}
| 5 |
4,746 |
['At least one of two things is true: weather works on wood in two ways, causing deterioration from wetness and dryness, or if appropriate units Use units of measure appropriate to the thing being measured, then the claim that many encyclopedias also have articles on extinct or endangered species does not correspond with reality.', 'On the condition that it is a common misconception that appropriate units Use units of measure appropriate to the thing being measured, it is definitely the case that the claim that journalism is concerned properly and inescapably with daily events does not correspond with reality.', 'Either one or both of these statements are true: raincoats have (part) collars, or fishers have (part) cytoplasm.', "Given that raincoats have (part) collars, it can be inferred that the statement that 'weather works on wood in two ways, causing deterioration from wetness and dryness' is incorrect.", "Assuming fishers have (part) cytoplasm, we know that the statement that 'weather works on wood in two ways, causing deterioration from wetness and dryness' is incorrect.", 'Assuming the claim that if it is a common misconception that appropriate units Use units of measure appropriate to the thing being measured, then journalism is concerned properly and inescapably with daily events is false, we know that tight calves can lead to tendonitis of the patellar tendon.', 'Should it be the case that the claim that if it is a common misconception that appropriate units Use units of measure appropriate to the thing being measured, then journalism is concerned properly and inescapably with daily events is false, it follows that those that suggest tight calves can lead to tendonitis of the patellar tendon are wrong.']
|
At least one of two things is true: weather works on wood in two ways, causing deterioration from wetness and dryness, or if appropriate units Use units of measure appropriate to the thing being measured, then the claim that many encyclopedias also have articles on extinct or endangered species does not correspond with reality. On the condition that it is a common misconception that appropriate units Use units of measure appropriate to the thing being measured, it is definitely the case that the claim that journalism is concerned properly and inescapably with daily events does not correspond with reality. Either one or both of these statements are true: raincoats have (part) collars, or fishers have (part) cytoplasm. Given that raincoats have (part) collars, it can be inferred that the statement that 'weather works on wood in two ways, causing deterioration from wetness and dryness' is incorrect. Assuming fishers have (part) cytoplasm, we know that the statement that 'weather works on wood in two ways, causing deterioration from wetness and dryness' is incorrect. Assuming the claim that if it is a common misconception that appropriate units Use units of measure appropriate to the thing being measured, then journalism is concerned properly and inescapably with daily events is false, we know that tight calves can lead to tendonitis of the patellar tendon. Should it be the case that the claim that if it is a common misconception that appropriate units Use units of measure appropriate to the thing being measured, then journalism is concerned properly and inescapably with daily events is false, it follows that those that suggest tight calves can lead to tendonitis of the patellar tendon are wrong.
|
The claim that many encyclopedias also have articles on extinct or endangered species does not correspond with reality.
|
The statement that states many encyclopedias also have articles on extinct or endangered species is right.
|
FALSE
|
Modus Ponens:
If [1], then (Not [0].). [SC1-1]
[1] [SC2-1]
Therefore, Not [0]..
[SC1-1]
Disjunctive Syllogism:
Either [2] or (If [1], then (Not [0].).).
Not [2]. [SC2-2]
Therefore, If [1], then (Not [0].)..
[SC2-2]
Disjunction Elimination:
Either [5] or [6].
If [5], then (Not [2].).
If [6], then (Not [2].).
Therefore, Not [2]..
[SC2-1]
Reductio Ad Absurdum:
If (Not [1].), then [3]. [SC1-2]
If (Not [1].), then (Not [3].).
Therefore, [1].
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not [1].), then [3].).), then [4].
If (Not (If (Not [1].), then [3].).), then (Not [4].).
Therefore, If (Not [1].), then [3]..
|
{0: 'Many encyclopedias also have articles on extinct or endangered species.', 1: 'Appropriate units Use units of measure appropriate to the thing being measured.', 2: 'Weather works on wood in two ways, causing deterioration from wetness and dryness.', 3: 'Journalism is concerned properly and inescapably with daily events.', 4: 'Tight calves can lead to tendonitis of the patellar tendon.', 5: 'Raincoats have (part) collars.', 6: 'Fishers have (part) cytoplasm.'}
| 5 |
4,960 |
["Whenever it is true that most dogs attract people, 'consumer power is the power of confident choice' is true.", 'Should it be the case that healthy foods are just as good for the brain as they are for the body, it follows that periwinkles live high in the inter-tidal region.', 'It is fair to say that healthy foods are just as good for the brain as they are for the body.', 'It is rational to believe that either standards are a central theme in education today or if periwinkles live high in the inter-tidal region, then most dogs attract people.', 'If water is persistent, and shapes the hardest rock, then the claim that standards are a central theme in education today does not correspond with reality.', 'The claim that water is persistent, and shapes the hardest rock is true.']
|
Whenever it is true that most dogs attract people, 'consumer power is the power of confident choice' is true. Should it be the case that healthy foods are just as good for the brain as they are for the body, it follows that periwinkles live high in the inter-tidal region. It is fair to say that healthy foods are just as good for the brain as they are for the body. It is rational to believe that either standards are a central theme in education today or if periwinkles live high in the inter-tidal region, then most dogs attract people. If water is persistent, and shapes the hardest rock, then the claim that standards are a central theme in education today does not correspond with reality. The claim that water is persistent, and shapes the hardest rock is true.
|
Many people rightly believe that consumer power is the power of confident choice.
|
Consumer power is a fact of life.
|
Uncertain
|
Modus Ponens:
If [1], then [0]. [SC1-1]
[1] [SC2-1]
Therefore, [0].
[SC1-1]
Hypothetical Syllogism:
If [1], then [2]. [SC1-2]
If [2], then [0].
Therefore, If [1], then [0]..
[SC1-2]
Disjunctive Syllogism:
Either [4] or (If [1], then [2].).
Not [4]. [SC2-3]
Therefore, If [1], then [2]..
[SC2-3]
Modus Ponens:
If [5], then (Not [4].).
[5]
Therefore, Not [4]..
[SC2-1]
Modus Ponens:
If [3], then [1].
[3]
Therefore, [1].
|
{0: 'Consumer power is the power of confident choice.', 1: 'Periwinkles live high in the inter-tidal region.', 2: 'Most dogs attract people.', 3: 'Healthy foods are just as good for the brain as they are for the body.', 4: 'Standards are a central theme in education today.', 5: 'Water is persistent, and shapes the hardest rock.'}
| 5 |
4,700 |
['Once we know notebooks come in all shapes and sizes and prices, we also know that positive trends point to a company experiencing healthy growth.', 'Those that suggest haplorhine primates have only rods in their retina are right.', 'Assuming if aspartic acid is regenerated from fumaric acid produced by the urea cycle, then irregular periods are common in girls who are just beginning to menstruate, we know that some people mistakenly believe that women tend to live longer than men, potentially exhausting other sources of income.', "Whenever it is true that aspartic acid is regenerated from fumaric acid produced by the urea cycle, 'irregular periods are common in girls who are just beginning to menstruate' is true.", "So long as it is not the case that if haplorhine primates have only rods in their retina, then either women tend to live longer than men, potentially exhausting other sources of income or if notebooks come in all shapes and sizes and prices, then the statement that states positive trends point to a company experiencing healthy growth is false, 'feathers have tips' is true.", 'It is a common misconception that feathers have tips.']
|
Once we know notebooks come in all shapes and sizes and prices, we also know that positive trends point to a company experiencing healthy growth. Those that suggest haplorhine primates have only rods in their retina are right. Assuming if aspartic acid is regenerated from fumaric acid produced by the urea cycle, then irregular periods are common in girls who are just beginning to menstruate, we know that some people mistakenly believe that women tend to live longer than men, potentially exhausting other sources of income. Whenever it is true that aspartic acid is regenerated from fumaric acid produced by the urea cycle, 'irregular periods are common in girls who are just beginning to menstruate' is true. So long as it is not the case that if haplorhine primates have only rods in their retina, then either women tend to live longer than men, potentially exhausting other sources of income or if notebooks come in all shapes and sizes and prices, then the statement that states positive trends point to a company experiencing healthy growth is false, 'feathers have tips' is true. It is a common misconception that feathers have tips.
|
It is not true that notebooks come in all shapes and sizes and prices.
|
It is not true that notebooks come in all shapes and sizes and prices.
|
TRUE
|
Reductio Ad Absurdum:
If [0], then [1].
If [0], then (Not [1].). [SC2-1]
Therefore, Not [0]..
[SC2-1]
Disjunctive Syllogism:
Either [2] or (If [0], then (Not [1].).). [SC1-2]
Not [2]. [SC2-2]
Therefore, If [0], then (Not [1].)..
[SC1-2]
Modus Ponens:
If [5], then (Either [2] or (If [0], then (Not [1].).).). [SC1-3]
[5]
Therefore, Either [2] or (If [0], then (Not [1].).)..
[SC1-3]
Modus Tonens:
If (Not (If [5], then (Either [2] or (If [0], then (Not [1].).).).).), then [6].
Not [6].
Therefore, If [5], then (Either [2] or (If [0], then (Not [1].).).)..
[SC2-2]
Modus Ponens:
If (If [3], then [4].), then (Not [2].).
If [3], then [4].
Therefore, Not [2]..
|
{0: 'Notebooks come in all shapes and sizes and prices.', 1: 'Positive trends point to a company experiencing healthy growth.', 2: 'Women tend to live longer than men, potentially exhausting other sources of income.', 3: 'Aspartic acid is regenerated from fumaric acid produced by the urea cycle.', 4: 'Irregular periods are common in girls who are just beginning to menstruate.', 5: 'Haplorhine primates have only rods in their retina.', 6: 'Feathers have tips.'}
| 5 |
4,167 |
['If the claim that if dendrites bring information to the cell body, then autotrophs use light energy directly while heterotrophs benefit from light energy indirectly does not correspond with reality, then water flows into the sponge body by way of pores all over the external surface.', 'One may reasonably assume that if it is not true that if water flows into the sponge body by way of pores all over the external surface, then natural gas is a deregulated commodity, then owls use ears.', 'Should it be the case that it is not true that if water flows into the sponge body by way of pores all over the external surface, then natural gas is a deregulated commodity, it follows that the statement, owls use ears, does not hold.', 'We know that the claim that either a junta is a camp or fish swim in the water all night is false.', 'It is rational to believe that either either perceptions are dynamisms that are always waiting to occur or some oysters occur in environments or square containers tend to encourage burning on the edges of a product.', "Whenever it is true that either perceptions are dynamisms that are always waiting to occur or some oysters occur in environments, 'if natural gas is a deregulated commodity, then either a junta is a camp or fish swim in the water all night' is true.", 'Once we know square containers tend to encourage burning on the edges of a product, we also know that if natural gas is a deregulated commodity, then either a junta is a camp or fish swim in the water all night.']
|
If the claim that if dendrites bring information to the cell body, then autotrophs use light energy directly while heterotrophs benefit from light energy indirectly does not correspond with reality, then water flows into the sponge body by way of pores all over the external surface. One may reasonably assume that if it is not true that if water flows into the sponge body by way of pores all over the external surface, then natural gas is a deregulated commodity, then owls use ears. Should it be the case that it is not true that if water flows into the sponge body by way of pores all over the external surface, then natural gas is a deregulated commodity, it follows that the statement, owls use ears, does not hold. We know that the claim that either a junta is a camp or fish swim in the water all night is false. It is rational to believe that either either perceptions are dynamisms that are always waiting to occur or some oysters occur in environments or square containers tend to encourage burning on the edges of a product. Whenever it is true that either perceptions are dynamisms that are always waiting to occur or some oysters occur in environments, 'if natural gas is a deregulated commodity, then either a junta is a camp or fish swim in the water all night' is true. Once we know square containers tend to encourage burning on the edges of a product, we also know that if natural gas is a deregulated commodity, then either a junta is a camp or fish swim in the water all night.
|
Once we know dendrites bring information to the cell body, we also know that autotrophs use light energy directly while heterotrophs benefit from light energy indirectly.
|
Once we know dendrites bring information to the cell body, we also know that autotrophs use light energy directly while heterotrophs benefit from light energy indirectly.
|
TRUE
|
Modus Tonens:
If (Not (If [0], then [1].).), then [2].
Not [2]. [SC2-1]
Therefore, If [0], then [1]..
[SC2-1]
Modus Tonens:
If [2], then [3]. [SC1-2]
Not [3]. [SC2-2]
Therefore, Not [2]..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If [2], then [3].).), then [6].
If (Not (If [2], then [3].).), then (Not [6].).
Therefore, If [2], then [3]..
[SC2-2]
Modus Tonens:
If [3], then (Either [4] or [5].). [SC1-3]
Not (Either [4] or [5].).
Therefore, Not [3]..
[SC1-3]
Disjunction Elimination:
Either (Either [7] or [8].) or [9].
If (Either [7] or [8].), then (If [3], then (Either [4] or [5].).).
If [9], then (If [3], then (Either [4] or [5].).).
Therefore, If [3], then (Either [4] or [5].)..
|
{0: 'Dendrites bring information to the cell body.', 1: 'Autotrophs use light energy directly while heterotrophs benefit from light energy indirectly.', 2: 'Water flows into the sponge body by way of pores all over the external surface.', 3: 'Natural gas is a deregulated commodity.', 4: 'A junta is a camp.', 5: 'Fish swim in the water all night.', 6: 'Owls use ears.', 7: 'Perceptions are dynamisms that are always waiting to occur.', 8: 'Some oysters occur in environments.', 9: 'Square containers tend to encourage burning on the edges of a product.'}
| 5 |
4,998 |
['Provided that the statement that states either orangutans are much stronger than humans and also bite or the statement, wire cutter Use to cut wires that are applied to branches and small trunks, does not hold is false, we know that we know that the claim that feathers lose insulate ability is false.', 'If either high tide is when the best waves come in or theosophy is that branch of engineering, which bridges the gulf between life and death, then some people mistakenly believe that orangutans are much stronger than humans and also bite.', 'Should it be the case that the statement that states if the statement that states either orangutans are much stronger than humans and also bite or the statement, wire cutter Use to cut wires that are applied to branches and small trunks, does not hold is false, then feathers lose insulate ability is false, it follows that gypsum occurs as micro -xls.', 'When the statement that states if the statement that states either orangutans are much stronger than humans and also bite or the statement, wire cutter Use to cut wires that are applied to branches and small trunks, does not hold is false, then feathers lose insulate ability is false is true, it follows that the statement that states gypsum occurs as micro -xls is false.', 'Either one or both of these statements are true: a dwelling is a housing, or melted equivalent is the amount of water that is produced as the snow melts.', "Whenever it is true that a dwelling is a housing, 'high tide is when the best waves come in' is true.", 'Given that melted equivalent is the amount of water that is produced as the snow melts, it can be inferred that theosophy is that branch of engineering, which bridges the gulf between life and death.']
|
Provided that the statement that states either orangutans are much stronger than humans and also bite or the statement, wire cutter Use to cut wires that are applied to branches and small trunks, does not hold is false, we know that we know that the claim that feathers lose insulate ability is false. If either high tide is when the best waves come in or theosophy is that branch of engineering, which bridges the gulf between life and death, then some people mistakenly believe that orangutans are much stronger than humans and also bite. Should it be the case that the statement that states if the statement that states either orangutans are much stronger than humans and also bite or the statement, wire cutter Use to cut wires that are applied to branches and small trunks, does not hold is false, then feathers lose insulate ability is false, it follows that gypsum occurs as micro -xls. When the statement that states if the statement that states either orangutans are much stronger than humans and also bite or the statement, wire cutter Use to cut wires that are applied to branches and small trunks, does not hold is false, then feathers lose insulate ability is false is true, it follows that the statement that states gypsum occurs as micro -xls is false. Either one or both of these statements are true: a dwelling is a housing, or melted equivalent is the amount of water that is produced as the snow melts. Whenever it is true that a dwelling is a housing, 'high tide is when the best waves come in' is true. Given that melted equivalent is the amount of water that is produced as the snow melts, it can be inferred that theosophy is that branch of engineering, which bridges the gulf between life and death.
|
The statement, wire cutter Use to cut wires that are applied to branches and small trunks, does not hold.
|
We know that the claim that a wire cutter is an edge tool is false.
|
Uncertain
|
Disjunctive Syllogism:
Either [1] or (Not [0].). [SC1-1]
Not [1]. [SC2-1]
Therefore, Not [0]..
[SC1-1]
Reductio Ad Absurdum:
If (Not (Either [1] or (Not [0].).).), then [4]. [SC1-2]
If (Not (Either [1] or (Not [0].).).), then (Not [4].).
Therefore, Either [1] or (Not [0].)..
[SC1-2]
Reductio Ad Absurdum:
If (Not (If (Not (Either [1] or (Not [0].).).), then [4].).), then [7].
If (Not (If (Not (Either [1] or (Not [0].).).), then [4].).), then (Not [7].).
Therefore, If (Not (Either [1] or (Not [0].).).), then [4]..
[SC2-1]
Modus Ponens:
If (Either [2] or [3].), then (Not [1].).
Either [2] or [3]. [SC2-2]
Therefore, Not [1]..
[SC2-2]
Constructive Dilemma:
Either [5] or [6].
If [5], then [2].
If [6], then [3].
Therefore, Either [2] or [3]..
|
{0: 'Wire cutter Use to cut wires that are applied to branches and small trunks.', 1: 'Orangutans are much stronger than humans and also bite.', 2: 'High tide is when the best waves come in.', 3: 'Theosophy is that branch of engineering, which bridges the gulf between life and death.', 4: 'Feathers lose insulate ability.', 5: 'A dwelling is a housing.', 6: 'Melted equivalent is the amount of water that is produced as the snow melts.', 7: 'Gypsum occurs as micro -xls.'}
| 5 |
4,984 |
['We know that at least one of two things is true: a handcart is a vehicle, or white light goes in and red, orange, yellow, green, blue, indigo, and violet come out.', 'If wheat bran is a valuable source of many B-vitamins including folic acid, then the claim that a handcart is a vehicle is false.', 'Assuming some planets have moons similar to our own, we know that the claim that a handcart is a vehicle is false.', 'The claim that if fetus is cushioned against shock by amniotic fluid, then pitchers have (part) corpi does not reflect reality.', "One may reasonably assume that if the statement that 'if the claim that either wheat bran is a valuable source of many B-vitamins including folic acid or some planets have moons similar to our own does not reflect reality, then if fetus is cushioned against shock by amniotic fluid, then pitchers have (part) corpi' is incorrect, then children are more susceptible to mercury poisoning than adults.", 'Either most Daphnes are three or four feet high, or so or possums have (part) cell membranes.', "One may reasonably assume that if most Daphnes are three or four feet high, or so, then if the statement that 'if the claim that either wheat bran is a valuable source of many B-vitamins including folic acid or some planets have moons similar to our own does not reflect reality, then if fetus is cushioned against shock by amniotic fluid, then pitchers have (part) corpi' is incorrect, then the claim that children are more susceptible to mercury poisoning than adults does not correspond with reality.", "On the condition that possums have (part) cell membranes, it is definitely the case that if the statement that 'if the claim that either wheat bran is a valuable source of many B-vitamins including folic acid or some planets have moons similar to our own does not reflect reality, then if fetus is cushioned against shock by amniotic fluid, then pitchers have (part) corpi' is incorrect, then the claim that children are more susceptible to mercury poisoning than adults does not correspond with reality."]
|
We know that at least one of two things is true: a handcart is a vehicle, or white light goes in and red, orange, yellow, green, blue, indigo, and violet come out. If wheat bran is a valuable source of many B-vitamins including folic acid, then the claim that a handcart is a vehicle is false. Assuming some planets have moons similar to our own, we know that the claim that a handcart is a vehicle is false. The claim that if fetus is cushioned against shock by amniotic fluid, then pitchers have (part) corpi does not reflect reality. One may reasonably assume that if the statement that 'if the claim that either wheat bran is a valuable source of many B-vitamins including folic acid or some planets have moons similar to our own does not reflect reality, then if fetus is cushioned against shock by amniotic fluid, then pitchers have (part) corpi' is incorrect, then children are more susceptible to mercury poisoning than adults. Either most Daphnes are three or four feet high, or so or possums have (part) cell membranes. One may reasonably assume that if most Daphnes are three or four feet high, or so, then if the statement that 'if the claim that either wheat bran is a valuable source of many B-vitamins including folic acid or some planets have moons similar to our own does not reflect reality, then if fetus is cushioned against shock by amniotic fluid, then pitchers have (part) corpi' is incorrect, then the claim that children are more susceptible to mercury poisoning than adults does not correspond with reality. On the condition that possums have (part) cell membranes, it is definitely the case that if the statement that 'if the claim that either wheat bran is a valuable source of many B-vitamins including folic acid or some planets have moons similar to our own does not reflect reality, then if fetus is cushioned against shock by amniotic fluid, then pitchers have (part) corpi' is incorrect, then the claim that children are more susceptible to mercury poisoning than adults does not correspond with reality.
|
The statement 'white light goes in and red, orange, yellow, green, blue, indigo, and violet come out' can be considered true.
|
The statement 'white light goes in and red, orange, yellow, green, blue, indigo, and violet come out' can be considered true.
|
TRUE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3]. [SC1-2]
If [2], then (Not [1].).
If [3], then (Not [1].).
Therefore, Not [1]..
[SC1-2]
Modus Tonens:
If (Not (Either [2] or [3].).), then (If [4], then [5].). [SC1-3]
Not (If [4], then [5].).
Therefore, Either [2] or [3]..
[SC1-3]
Reductio Ad Absurdum:
If (Not (If (Not (Either [2] or [3].).), then (If [4], then [5].).).), then [6].
If (Not (If (Not (Either [2] or [3].).), then (If [4], then [5].).).), then (Not [6].). [SC2-4]
Therefore, If (Not (Either [2] or [3].).), then (If [4], then [5].)..
[SC2-4]
Disjunction Elimination:
Either [7] or [8].
If [7], then (If (Not (If (Not (Either [2] or [3].).), then (If [4], then [5].).).), then (Not [6].).).
If [8], then (If (Not (If (Not (Either [2] or [3].).), then (If [4], then [5].).).), then (Not [6].).).
Therefore, If (Not (If (Not (Either [2] or [3].).), then (If [4], then [5].).).), then (Not [6].)..
|
{0: 'White light goes in and red, orange, yellow, green, blue, indigo, and violet come out.', 1: 'A handcart is a vehicle.', 2: 'Wheat bran is a valuable source of many B-vitamins including folic acid.', 3: 'Some planets have moons similar to our own.', 4: 'Fetus is cushioned against shock by amniotic fluid.', 5: 'Pitchers have (part) corpi.', 6: 'Children are more susceptible to mercury poisoning than adults.', 7: 'Most Daphnes are three or four feet high, or so.', 8: 'Possums have (part) cell membranes.'}
| 5 |
4,491 |
["The statement that 'scalar detection occurs in a non-linear transistor amplifier' is incorrect.", 'Given that fads can last forever no matter how weak they are in logical reasoning, it can be inferred that if personality tests are tests, then scalar detection occurs in a non-linear transistor amplifier.', 'If the statement, if the claim that fads can last forever no matter how weak they are in logical reasoning is false, then most beetles eat plants, does not hold, then american parents discuss things with their children and are more considerate of their feelings.', 'The claim that american parents discuss things with their children and are more considerate of their feelings does not correspond with reality.', "One may reasonably assume that if eggs are rich in cholesterol, then if the claim that fads can last forever no matter how weak they are in logical reasoning is false, then the statement that 'most beetles eat plants' is incorrect.", 'It is rational to agree that eggs are rich in cholesterol.']
|
The statement that 'scalar detection occurs in a non-linear transistor amplifier' is incorrect. Given that fads can last forever no matter how weak they are in logical reasoning, it can be inferred that if personality tests are tests, then scalar detection occurs in a non-linear transistor amplifier. If the statement, if the claim that fads can last forever no matter how weak they are in logical reasoning is false, then most beetles eat plants, does not hold, then american parents discuss things with their children and are more considerate of their feelings. The claim that american parents discuss things with their children and are more considerate of their feelings does not correspond with reality. One may reasonably assume that if eggs are rich in cholesterol, then if the claim that fads can last forever no matter how weak they are in logical reasoning is false, then the statement that 'most beetles eat plants' is incorrect. It is rational to agree that eggs are rich in cholesterol.
|
The claim that personality tests are tests does not correspond with reality.
|
The statement 'personality tests look at the habitual ways that people act' can be considered false.
|
Uncertain
|
Modus Tonens:
If [0], then [1]. [SC1-1]
Not [1].
Therefore, Not [0]..
[SC1-1]
Modus Ponens:
If [2], then (If [0], then [1].).
[2] [SC2-2]
Therefore, If [0], then [1]..
[SC2-2]
Reductio Ad Absurdum:
If (Not [2].), then [3]. [SC1-3]
If (Not [2].), then (Not [3].). [SC2-3]
Therefore, [2].
[SC1-3]
Modus Tonens:
If (Not (If (Not [2].), then [3].).), then [5].
Not [5].
Therefore, If (Not [2].), then [3]..
[SC2-3]
Modus Ponens:
If [4], then (If (Not [2].), then (Not [3].).).
[4]
Therefore, If (Not [2].), then (Not [3].)..
|
{0: 'Personality tests are tests.', 1: 'Scalar detection occurs in a non-linear transistor amplifier.', 2: 'Fads can last forever no matter how weak they are in logical reasoning.', 3: 'Most beetles eat plants.', 4: 'Eggs are rich in cholesterol.', 5: 'American parents discuss things with their children and are more considerate of their feelings.'}
| 5 |
4,010 |
['We know that either some wild cottontails have life expectancy or aBO compatibility can influence the results of platelet transfusion.', 'We know that at least one of two things is true: mono Lake is naturally salty and alkaline because it has no outlet, or most goalies use wooden sticks.', 'Once we know most goalies use wooden sticks, we also know that those that suggest some wild cottontails have life expectancy are wrong.', 'Either gas can seem a significant cause of discomfort to the infant or if the claim that if mono Lake is naturally salty and alkaline because it has no outlet, then those that suggest some wild cottontails have life expectancy are wrong is false, then an expose is exposure.', 'The statement that states gas can seem a significant cause of discomfort to the infant is false.', 'On the condition that an expose is exposure, it is definitely the case that planets look like disks, or tiny balls.', 'Once we know an expose is exposure, we also know that the claim that planets look like disks, or tiny balls has no merit.']
|
We know that either some wild cottontails have life expectancy or aBO compatibility can influence the results of platelet transfusion. We know that at least one of two things is true: mono Lake is naturally salty and alkaline because it has no outlet, or most goalies use wooden sticks. Once we know most goalies use wooden sticks, we also know that those that suggest some wild cottontails have life expectancy are wrong. Either gas can seem a significant cause of discomfort to the infant or if the claim that if mono Lake is naturally salty and alkaline because it has no outlet, then those that suggest some wild cottontails have life expectancy are wrong is false, then an expose is exposure. The statement that states gas can seem a significant cause of discomfort to the infant is false. On the condition that an expose is exposure, it is definitely the case that planets look like disks, or tiny balls. Once we know an expose is exposure, we also know that the claim that planets look like disks, or tiny balls has no merit.
|
aBO compatibility can influence the results of platelet transfusion.
|
The statement that 'aBO compatibility can influence the results of platelet transfusion' is incorrect.
|
FALSE
|
Disjunctive Syllogism:
Either [1] or [0].
Not [1]. [SC2-1]
Therefore, [0].
[SC2-1]
Disjunction Elimination:
Either [2] or [3].
If [2], then (Not [1].). [SC2-2]
If [3], then (Not [1].).
Therefore, Not [1]..
[SC2-2]
Modus Tonens:
If (Not (If [2], then (Not [1].).).), then [4]. [SC1-3]
Not [4]. [SC2-3]
Therefore, If [2], then (Not [1].)..
[SC1-3]
Disjunctive Syllogism:
Either [5] or (If (Not (If [2], then (Not [1].).).), then [4].).
Not [5].
Therefore, If (Not (If [2], then (Not [1].).).), then [4]..
[SC2-3]
Reductio Ad Absurdum:
If [4], then [6].
If [4], then (Not [6].).
Therefore, Not [4]..
|
{0: 'ABO compatibility can influence the results of platelet transfusion.', 1: 'Some wild cottontails have life expectancy.', 2: 'Mono Lake is naturally salty and alkaline because it has no outlet.', 3: 'Most goalies use wooden sticks.', 4: 'An expose is exposure.', 5: 'Gas can seem a significant cause of discomfort to the infant.', 6: 'Planets look like disks, or tiny balls.'}
| 5 |
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