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Premise: Either the doors were locked, or someone heard the alarm. The doors were NOT locked. Therefore, someone heard the alarm. This is a textbook case of
ADisjunctive syllogism (valid: P∨Q, ¬P, ∴ Q)
BHypothetical syllogism
CBegging the question
DAffirming the consequent
Answer & Solution
Correct answer: A. Disjunctive syllogism (valid: P∨Q, ¬P, ∴ Q)
Disjunctive syllogism: from 'P or Q' and 'not P', infer Q. The argument is deductively valid PROVIDED the disjunction is exclusive or at least exhaustive. The other options are different valid or invalid forms.
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