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If P is always against the testimony of Q, then the compound statement P→(P v ~Q) is a __________

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If P is always against the testimony of Q, then the compound statement P→(P v ~Q) is a __________

(a) Tautology

(b) Contradiction

(c) Contingency

(d) None of the mentioned

The question was posed to me in unit test.

Asked question is from Logics and Proofs topic in portion The Foundation: Logics and Proofs of Discrete Mathematics

1 Answer

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Right choice is (a) Tautology

The explanation is: Since either hypothesis is false or both (hypothesis as well as conclusion) are true.

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