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.

  1. Premise: "Randy works hard" (H1)
  2. Premise: "If Randy works hard, then he is a dull boy" (H2)
  3. Premise: "If Randy is a dull boy, then he will not get the job" (H3)
  4. Inference rule: Modus Ponens (MP): If H1 and H2, then conclude C (where C is the conclusion).
  5. Conclude: If Randy works hard (H1) and if he is a dull boy (H2), then he will not get the job (H3).
  6. MP: From H1 and H2, conclude H3.
  7. 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."

Sign up or log in to comment