Discussion
Which of the following well-formed formula(s) are valid?
Answer: A
Correct answer: ((P → Q)^(Q → R))→ (P → R)
This is the hypothetical syllogism and it is valid: if P leads to Q and Q leads to R, then P leads to R. The second option is the fallacy of denying the antecedent, the third fails when P is false and Q false, and the fourth confuses the disjunction of two implications with the implication of a disjunction.
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