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单词 sheffer stroke function
释义

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Sheffer stroke function
Sheffer('s) stroke: the symbol |; also, the logical function of non-conjunction (and sometimes non-disjunction) that it represents, described by Sheffer in 1913 ( Trans. Amer. Math. Soc. XIV. 481–8) (so Sheffer stroke function).
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the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > mathematical or symbolic logic > Polish school of symbolic logic > symbols
parenthesis1880
incomplete symbol1910
stroke1925
horseshoe1926
Sheffer('s) stroke1932
hook1967
tilde1979
1932 C. I. Lewis & C. H. Langford Symbolic Logic ix. 306 The prefixes are analogues of Sheffer's stroke-function p|q in its two interpretations.
1950 L. M. Hammond et al. tr. D. Hilbert & W. Ackermann Princ. Math. Logic i. 11 Since ∨ and — can be expressed by Sheffer's stroke, the same holds for the other fundamental connectives.
1957 Encycl. Brit. XIV. 306/1 We shall use..the sign | to denote non-conjunction (‘p|q’ to mean ‘not both p and q’)... If the sign of non-conjunction (Sheffer's stroke) is taken as primitive, all the other connectives can be defined from this one.
1960 N. R. Scott Analog & Digital Computer Technol. x. 392 If the low-potential and high-potential signal levels are identified respectively with binary 0 and 1, this circuit performs the Sheffer stroke function.
1972 A. G. Howson Handbk. Terms Algebra & Anal. i. 2 More basic still are the Sheffer stroke | and the connective ↓..since all the other connectives can be defined in terms of | (or ↓) alone.
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