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. [1] It is not required that a valid argument have premises that are actually true, [2] but to have premises that, if they were true, would guarantee the truth of the argument's conclusion. A formula is valid if and only if it is true under every interpretation , and an argument form (or schema) is valid if and only if every argument of that logical form is valid.

hold water To be valid, sound, and defensible; to show no inconsistency or deficiency when put to the test. As early as the beginning of the 17th century, this expression was used figuratively of arguments, statements, etc., although both hold and water can be taken literally to describe a vessel or other receptacle’s soundness in retaining a liquid.


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