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In propositional logic, what is the term for a statement that is true under every possible assignment of truth values to its components?

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Tautology

A tautology is a logical statement that is necessarily true by its own structure, such as the phrase 'It will rain or it will not rain.' While these statements are considered redundant because they provide no new information, they serve as essential building blocks in formal mathematical proofs. The term comes from the Greek word 'tauto,' meaning 'the same,' which highlights how the statement's truth is inherently repetitive.

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  • In propositional logic, what is the term for a formula that remains true under every possible interpretation?

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