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MMLU-Pro / 10861 / Construct a complete truth table for the following argument. Then, using the…

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 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.)
~A · ~B
(A ∨ C) ∨ B / C

category

philosophy

options

  1. Invalid. Counterexample when A, B, and C are all true
  2. Invalid. Counterexample when A, B, and C are all false
  3. Invalid. Counterexample when A and B are true and C is false
  4. Invalid. Counterexample when B is true and A and C are false
  5. Invalid. Counterexample when A and C are true and B is false
  6. Invalid. Counterexample when A is true and B and C are false
  7. Invalid. Counterexample when A is false and B and C are true
  8. Valid
  9. Invalid. Counterexample when C is true and A and B are false

src

ori_mmlu-formal_logic

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Source and history

upstream_id / Original problem ID
10861
task_id
000aeb05-092d-5ddb-997d-f594e56cde94
task_key
default--test--10861
task_revision_id
1
config / split
default / test

Official source

initial import