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MMLU-Pro / 10952 / Construct a complete truth table for the following argument. Then, using the…

Problem

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question

Construct a complete truth table for the following argument. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)
~C ⊃ D
D ⊃ C / C

category

philosophy

options

  1. Invalid. Counterexample when C is true and D is false
  2. Invalid. Counterexample when D is false and C is true
  3. Invalid. Counterexample when C and D are true
  4. Invalid. Counterexample when C and D are both false
  5. Invalid. Counterexample when C is false and D is true
  6. Invalid. Counterexample when D is true and C is false
  7. Valid
  8. Valid. No counterexample exists
  9. Invalid. Counterexample when D and C are both true

src

ori_mmlu-formal_logic

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