Problem

Mark each statement True or False. Justify each answer.(a) When an implication p ⇒ q is us...

Mark each statement True or False. Justify each answer.

(a) When an implication p ⇒ q is used as a theorem, we refer to p as the antecedent.


(b) The contrapositive of pq is ~p ⇒ ~ q.


(c) The inverse of pq is ~ q ⇒ ~p.


(d) To prove "∀ n, p(n)" is true, it takes only one example.


(e) To prove "∃ n, ∋ p(n)" is true, it takes only one example.

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Solutions For Problems in Chapter 1.3S