'If it rains, the match is cancelled. The match was not cancelled.' Which valid conclusion follows?
ANothing follows
BIt rained
CIt did not rain (modus tollens: P → Q, ¬Q ∴ ¬P)
DThe match was scheduled
Answer & Solution
Correct answer: C. It did not rain (modus tollens: P → Q, ¬Q ∴ ¬P)
Modus tollens — denying the consequent. From P → Q and ¬Q, we validly infer ¬P. The contrapositive logic gives the correct conclusion.
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