Last Updated
：2025/11/29
vacuous truth
Noun
Japanese Meaning
論理学において、必ず偽となる前提を含む条件文が真であるために成立する命題、または空の論域におけるすべての要素に対する性質の主張として解釈される命題を指す。
（ plural ）
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(logic) A proposition which is true only because it is a conditional statement with a necessarily false premise, or which asserts a property of all elements of an empty domain of discourse.
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vacuous truth
When the domain of discourse is empty, the implication 'if unicorns exist, then they have horns' is considered a vacuous truth in formal logic.
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When the domain of discourse is empty, the implication 'if unicorns exist, then they have horns' is considered a vacuous truth in formal logic.
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