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单词 existential quantifier
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existential quantifier
existential quantifier n. Logic a quantifier which serves the purpose of asserting that the proposition to which it is attached is true in at least one instance in the given universe of discourse; the mathematical symbol for this quantifier.
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the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > quantification > elements of
quantifier1864
universal quantifier1931
existential quantifier1933
1933 Ann. Math. 34 385 The propositions and rules of Hilbert and Ackermann concerning the existential quantifier can be proved.
1951 J. Łukasiewicz Aristotle's Syllogistic iv. 84 I denote quantifiers by Greek capitals, the universal quantifier by Π, and the particular or existential quantifier by Σ.
1984 P. H. Winston Artific. Intelligence (ed. 2) vii. 210 The symbol ∃ is called the existential quantifier.
2007 D. Westerståhl in D. M. Gabbay & F. Guenthner Handbk. Philos. Logic (ed. 2) XIV. 229 The invention of predicate logic with the universal and existential quantifiers can also be attributed to Peano and Russell.
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