Question

define mathematically valid statement

Answer 1

In logic, an argument is valid if and only if it takes a form that makes it impossible for the premises to be true and the conclusion nevertheless to be false.

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Answer 2

Truth and validity are different notions. An argument may be valid and yet the conclusion may be false if one or more of the premises is false, as the following example shows: All men are registered voters. ... Mathematical proofs are also said to be valid or invalid.