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单词 material implication
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material implication
material implication n. Logic the truth-functional relationship which obtains between the antecedent and the consequent of a conditional proposition except when the antecedent is true and the consequent false.
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the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > implication
logical implication1887
prehensiveness1897
formal implication1903
material implication1903
implication1906
strict implication1912
entailment1933
1903 B. Russell Princ. Math. ii. 14 How far formal implication is definable in terms of implication simply, or material implication as it may be called, is a difficult question.
1932 C. I. Lewis & C. H. Langford Symbolic Logic 101 The relation of formal implication is transitive, like material implication.
1992 Mind 101 76 We are to think of the dyadic construction they feature as really monadic after all, with Intend (α/β) being an alternative notation for (3) Intend (β → Sα) in which the arrow symbolizes (let's say) material implication, and the ‘S’ is a subjunctivizing operator.
extracted from materialadj.n.adv.
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