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Construct the truth table of the following statement pattern. (∼ p → ∼ q) ∧ (∼ q → ∼ p)

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Question

Construct the truth table of the following statement pattern.

(∼ p → ∼ q) ∧ (∼ q → ∼ p)

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Solution

p q ∼ p ∼ q ∼ p → ∼ q ∼ q → ∼ p (∼ p → ∼ q) ∧ (∼ q → ∼ p)
T T F F T T T
T F F T T F F
F T T F F T F
F F T T T T T
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Chapter 1: Mathematical Logic - Exercise 1.2 [Page 13]

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