Question

are the truth values of ∀∃P(x, y),

∀∀P(x, y), ∃∃P(x, y), where the domain of x, y is the set {1, 2, 4, 6, 12}?​

Answer 1

Answer:

(1) ∀x∀yP(x, y) may be read “For every positive integer x and for every real number y, xy = 1. This proposition is false. (2) ∀x∃yP(x, y) may be read “For every positive integer x there is a real number y such that xy = 1. This proposition is true.

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