| 单词 | logical product |
| 释义 | > as lemmaslogical product logical product n. the conjunction of two or more propositions, or the intersection of two or more sets (written p ∧ q, p ∩ q, p.q, pq, p and 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 product depends on the identity or diversity..of parts of the factors. 1903 B. Russell Princ. Math. ii. 21 Most of the propositions of the class-calculus are easily deduced from those of the propositional calculus. The logical product or common part of two classes a and b is the class of x's such that the logical product of ‘x is an a’ and ‘x is a b’ is true. Similarly we can define the logical sum of two classes (a or b). 1941 R. Courant & H. E. Robbins What is Math.? ii. 110 By the ‘intersection’ or ‘logical product’ of A and B we mean the set consisting only of those elements which are in both A and B. 1955 A. N. Prior Formal Logic i. i. 7 We may also have a conjunction or logical product of more than two propositions, the analogy with arithmetical multiplication still holding. 1959Logical product [see logical sum n.]. < as lemmas |
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