The false statement in the following is ______.

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KollegeApply · Accepted Answer

The false statement in the following is (p → q) ↔ (∼ q → ∼ p) is a contradiction. Explanation: (p → q) ↔ (∼ q → ∼ p) p q ∼ p ∼ q p → q ∼ q → ∼ p (p → q) ↔ (∼ q → ∼ p) T T F F T T T T F F T F F T F T T F T T T F F T T T T T In the above table, all the entries in the last column are T. Therefore, the given statement pattern is a tautology. ∴ The false statement is (p → q) ↔ (∼ q → ∼ p) is a contradiction.

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