Definition of existential quantifier in English:

existential quantifier

noun

Logic

A formal expression used in asserting that something exists of which a stated general proposition can be said to be true.
〔逻〕存在量词
Example sentencesExamples
- Disjunction, implication and the existential quantifier are definable making free use of double negation.
- By contraposition and the definition of the existential quantifier, the latter axiom is equivalent to x = x y (y = x).
- The epsilon calculus is, in its most basic form, an extension of first-order predicate logic with an ‘epsilon operation’ that picks out, for any true existential formula, a witness to the existential quantifier.
- On this view, existence is no longer seen as a (first-level) predicate, but instead, existential statements are analyzed in terms of the (second-level) predicate is instantiated, represented by the existential quantifier.
- In each case, the proposition expressed is argued to be that which would be expressed if the indefinite determiner were replaced by the existential quantifier.

Definition of existential quantifier in US English:

existential quantifier

noun

Logic

A formal expression used in asserting that something exists of which a stated general proposition can be said to be true.
〔逻〕存在量词
Example sentencesExamples
- Disjunction, implication and the existential quantifier are definable making free use of double negation.
- By contraposition and the definition of the existential quantifier, the latter axiom is equivalent to x = x y (y = x).
- The epsilon calculus is, in its most basic form, an extension of first-order predicate logic with an ‘epsilon operation’ that picks out, for any true existential formula, a witness to the existential quantifier.
- On this view, existence is no longer seen as a (first-level) predicate, but instead, existential statements are analyzed in terms of the (second-level) predicate is instantiated, represented by the existential quantifier.
- In each case, the proposition expressed is argued to be that which would be expressed if the indefinite determiner were replaced by the existential quantifier.

词汇	existential quantifier
释义	Definition of existential quantifier in English: existential quantifier noun Logic A formal expression used in asserting that something exists of which a stated general proposition can be said to be true. 〔逻〕存在量词 Example sentencesExamples Disjunction, implication and the existential quantifier are definable making free use of double negation. By contraposition and the definition of the existential quantifier, the latter axiom is equivalent to x = x y (y = x). The epsilon calculus is, in its most basic form, an extension of first-order predicate logic with an ‘epsilon operation’ that picks out, for any true existential formula, a witness to the existential quantifier. On this view, existence is no longer seen as a (first-level) predicate, but instead, existential statements are analyzed in terms of the (second-level) predicate is instantiated, represented by the existential quantifier. In each case, the proposition expressed is argued to be that which would be expressed if the indefinite determiner were replaced by the existential quantifier. Definition of existential quantifier in US English: existential quantifier noun Logic A formal expression used in asserting that something exists of which a stated general proposition can be said to be true. 〔逻〕存在量词 Example sentencesExamples Disjunction, implication and the existential quantifier are definable making free use of double negation. By contraposition and the definition of the existential quantifier, the latter axiom is equivalent to x = x y (y = x). The epsilon calculus is, in its most basic form, an extension of first-order predicate logic with an ‘epsilon operation’ that picks out, for any true existential formula, a witness to the existential quantifier. On this view, existence is no longer seen as a (first-level) predicate, but instead, existential statements are analyzed in terms of the (second-level) predicate is instantiated, represented by the existential quantifier. In each case, the proposition expressed is argued to be that which would be expressed if the indefinite determiner were replaced by the existential quantifier.
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