Tautology And Contradiction In Mathematics: Exploring The Basics

True or False: The negation of a tautology is a contradiction

True.

A tautology is a statement that is always true, no matter the truth values of its component propositions. Therefore, the negation of a tautology would be a statement that is always false.

On the other hand, a contradiction is a statement that is always false, no matter the truth values of its component propositions. Since the negation of a tautology is always false, it fits the definition of a contradiction.

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Tautology And Contradiction In Mathematics: Exploring The Basics

True or False: The negation of a tautology is a contradiction

1

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