Unformatted text preview: (d) State in English the contrapositive of the statement. 3. (8 pts. each) Consider the following sentence: For every natural number n , there is a nonnegative integer k and an odd integer m such that n = 2 k m . (a) Translate the above sentence into symbolic form. (b) Write a useful denial of the sentence in symbolic form and translate it into English. 4. (8 pts.) Show that [ Q ∧ ( P = ⇒ Q )] = ⇒ P is neither a tautology nor a contradiction....
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 Fall '08
 Alligood,K
 Math, Logic, Advanced Math, Natural number, symbolic form

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