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on
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Running
on
Zero
GenAi Evaluation 6
#71
by
Ravka
- opened
😃: Use rules of inference to show that the hypotheses “Randy
works hard,” “If Randy works hard, then he is a dull boy,”
and “If Randy is a dull boy, then he will not get the job”
imply the conclusion “Randy will not get the job.”
🤖: Sure! Let's use rules of inference to derive the conclusion "Randy will not get the job" from the given hypotheses.
- Premise: "Randy works hard" (H1)
- Premise: "If Randy works hard, then he is a dull boy" (H2)
- Premise: "If Randy is a dull boy, then he will not get the job" (H3)
- Inference rule: Modus Ponens (MP): If H1 and H2, then conclude C (where C is the conclusion).
- Conclude: If Randy works hard (H1) and if he is a dull boy (H2), then he will not get the job (H3).
- MP: From H1 and H2, conclude H3.
- Therefore, Randy will not get the job.
So, by applying the modus ponens rule to the premises provided, we can deduce the conclusion "Randy will not get the job."