单词 | logical addition |
释义 | > as lemmaslogical addition logical addition n. the formation of a logical sum. 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 7 250 Let a + b denote all the individuals contained under a and b together. The operation here performed will differ from arithmetical addition in two respects: 1st, that it has reference to identity, not to equality; and 2d, that what is common to a and b is not taken into account twice over... The process denoted by +..I shall call the process of logical addition. 1903 B. Russell Princ. Math. ii. 18 From this point we can prove the laws of contradiction and excluded middle and double negation, and establish all the formal properties of logical multiplication and addition—the associative, commutative and distributive laws. 1970 O. Dopping Computers & Data Processing i. 23 In Boolean algebra..instead of the usual mathematical operations, there are certain logical operations; the most common ones of these are logical addition, logical multiplication, and negation. < as lemmas |
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