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单词 natural deduction
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natural deduction
natural deduction n. Logic a method, devised separately in 1934 by G. Gentzen ( Math. Zeitschr. (1935) 39) and S. Jaśkowski ( Studia Logica (1934) 1), whereby formal proofs are obtained solely by the application of rules of inference without appeal to axioms.
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the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > logical inference > terms relating to
simplification1903
natural deduction1947
inference rule1962
the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > mathematical or symbolic logic > Polish school of symbolic logic > natural deduction
natural deduction1947
1947 Jrnl. Symbolic Logic 12 95 The paper is an exposition of methods of natural deduction developed by Hertz, Jaśkowski and Gentzen.
1969 Aristotelian Soc. Suppl. Vol. 43 53 The expression ‘natural deduction’ was introduced, I surmise, under the influence partly of the name bestowed on Herbrand's ‘theorem of deduction’ and partly of the French expression ‘la déduction naturelle’.
1991 Mind 100 58 Thomason succeeds in specifying a natural deduction system that is sound and complete with respect to Stalnaker's semantics.
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