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MMLU-Pro / 11162 / Use indirect truth tables to determine whether each set of propositions is…

Problem

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

question

 Use indirect truth tables to determine whether each set of propositions is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)
~N ≡ (O · P)
~O ⊃ Q
N · ~Q

category

philosophy

options

  1. Inconsistent. Inconsistent valuation when N, O, P, and Q are all false
  2. Inconsistent
  3. Consistent. Consistent valuation when N, O, and P are true and Q is false
  4. Inconsistent. Inconsistent valuation when N and P are true and O and Q are false
  5. Consistent. Consistent valuation when N and P are true and O and Q are false
  6. Inconsistent. Inconsistent valuation when N, O, P, and Q are all true
  7. Consistent. Consistent valuation when N and O are true and P and Q are false
  8. Consistent. Consistent valuation when O, P, and Q are true and N is false

src

ori_mmlu-formal_logic

Discussion

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Source and history

upstream_id / Original problem ID
11162
task_id
e2b829ea-c15d-5fb2-9b2f-c4ee1aee3a42
task_key
default--test--11162
task_revision_id
1
config / split
default / test

Official source

initial import