| 单词 | logical sum |
| 释义 | > as lemmaslogical sum logical sum n. the disjunction of two or more propositions, or the union of two or more sets (written p ∨ q, p ∪ q, p or q, p + q). ΘΚΠ the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > set theory or extension > conjunction or disjunction of sets logical addition1868 logical multiplication1868 logical product1868 logical sum1868 sum1870 1868 C. S. Peirce in Proc. Amer. Acad. Arts & Sci. 1865–8 7 411 The numerical rank of a logical sum depends on the identity or diversity..of the integrant parts. 1903 [see logical product n.]. 1959 C. V. L. Smith Electronic Digital Computers ii. 32 Given two binary words..it is possible to generate a third word each bit of which is the logical sum or the logical product or, indeed, any Boolean function of the bits in the corresponding position of the given words. Operations of this sort may be called ‘logical operations’. 1963 G. T. Kneebone Math. Logic ii. 53 In older accounts of symbolic logic, the terms ‘logical sum’ and ‘logical product’ are often used where ‘disjunction’ and ‘conjunction’ would now be preferred. There is indeed an analogy between the arithmetical operations of addition and multiplication. < as lemmas |
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