Word info Synonyms

existential quantifier

Noun

Meaning

a logical quantifier of a proposition that asserts the existence of at least one thing for which the proposition is true

Source: WordNet

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Examples

Finally, we would like, for reasons of technical convenience, that the prefix of φ (that is, the string of quantifiers at the beginning of φ, which is in normal form) begin with a universal quantifier and end with an existential quantifier. Source: Internet

Here the order of the universal quantifiers for x and for ε is not important, but the order of the former and the existential quantifier for N is. Source: Internet

Quine argued that the only ontologically committing expressions are variables bound by a first-order existential quantifier, and natural language expressions which were formalized using variables bound by first-order existential quantifiers. Source: Internet

Reducing the theorem to formulas of degree 1 Our generic formula φ now is a sentence, in normal form, and its prefix starts with a universal quantifier and ends with an existential quantifier. Source: Internet

The existential quantifier "there exists" expresses the idea that the claim "a is a philosopher and a is not a scholar" holds for some choice of a. The predicates "is a philosopher" and "is a scholar" each take a single variable. Source: Internet

The Frege-Brentano view is the basis of the dominant position in modern Anglo-American philosophy : that existence is asserted by the existential quantifier (as expressed by Quine 's slogan "To be is to be the value of a variable." Source: Internet

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