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existential quantifier

 

Definitions from WordNet

Noun existential quantifier has 1 sense
  1. existential quantifier, existential operator - a logical quantifier of a proposition that asserts the existence of at least one thing for which the proposition is true
    --1 is a kind of quantifier, logical quantifier

Definitions from the Web

Existential quantifier

Definition: In logic and mathematics, the existential quantifier is a symbol or word used to indicate that there exists at least one element satisfying a logical or mathematical statement.

Examples:

  1. Logic: In predicate logic, the existential quantifier (∃) is used to express the existence of an object that satisfies a given property. For example, the statement (∃x)(P(x)) denotes that there exists at least one element x that satisfies the property P.
  2. Mathematics: In set theory, the existential quantifier (∃) is used to describe the existence of an element in a set. For instance, if we have a set A = {1, 2, 3}, (∃x ∈ A) refers to the existence of an element x in set A.

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