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单词 predicate calculus
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predicate calculus
predicate calculus n. [after German Prädikatenkalkül ( D. Hilbert & W. Ackermann Grundzüge der theoretischen Logik (1928) ii. 34).] the branch of symbolic logic concerned with the internal structures of propositions containing arguments and quantifiers as well as the relations between them; also called functional calculus; cf. propositional calculus n. at propositional adj. Compounds.
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calculus of variations1810
predicate calculus1938
1938 Jrnl. Symbolic Logic 3 91 By the ‘erweiterten einstelligen Prädikatenkalkul’ is meant the one-place predicate calculus with equality added.
1979 Sci. Amer. May 131/1 Could there exist an algorithm such that when it was given a statement written in precise mathematical language, it would report eventually whether the statement was true or false?.. For a powerful formalized language known as the predicate calculus it has been shown that no such algorithm exists.
2004 M. Potter Set Theory & its Philos. i. 12 First-order predicate calculus is thus contrasted with the second-order version which permits in addition the use of quantified variables ranging over properties of objects.
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