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MMLU-Pro / 10955 / Construct a complete truth table for the following pairs of propositions. Then,…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

 Construct a complete truth table for the following pairs of propositions. Then, using the truth tables, determine whether the statements are logically equivalent or contradictory. If neither, determine whether they are consistent or inconsistent. Justify your answers.
~(J ∨ K) · L and (L ⊃ J) · K

category

philosophy

options

  1. Logically equivalent and inconsistent
  2. Neither logically equivalent nor contradictory, but consistent
  3. Logically equivalent
  4. Inconsistent
  5. Contradictory
  6. Both contradictory and inconsistent
  7. Neither contradictory nor consistent, but logically equivalent
  8. Both logically equivalent and contradictory
  9. Contradictory and consistent

src

ori_mmlu-formal_logic

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Official source

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