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Vacuous truth
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== See also == * [[Definite description]] * [[De Morgan's laws#Extension_to_predicate_and_modal_logic|De Morgan's laws]] β specifically the law that a universal statement is true just in case no counterexample exists: <math>\forall x \, P(x) \equiv \neg \exists x \, \neg P(x)</math> * [[Empty sum]] and [[empty product]] * [[Empty function]] * [[Paradoxes of material implication]], especially the [[principle of explosion]] * [[Presupposition]], [[double question]] * [[State of affairs (philosophy)]] * [[Tautology (logic)]] β another type of true statement that also fails to convey any substantive information * [[Triviality (mathematics)]] and [[degeneracy (mathematics)]]
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