Determine the truth values of the following propositions. (Predicate Calculus) (

Question

Determine the truth values of the following propositions. (Predicate Calculus) (a) If x < y and y < z, then x < z. (b) For every x > 0, there exists an n in N(natural numbers) such that n > x and x > 1/n. (c) For every m, n E(element of) N, there exists p E N such that m < p and p < n. (d) There exists u E N so that un = n for all n E N. (e) For each n E N, there exists m E N such that m < n. (f) For every n E N, there exists m E N such that 2^m <= n and n < 2 ^m+1.

Explanation / Answer

a. T b. T c. F d. T e. T f. F

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