universal quantifier

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Definitions from WordNet

Noun universal quantifier has 1 sense

universal quantifier - a logical quantifier of a proposition that asserts that the proposition is true for all members of a class of things
--₁ is a kind of quantifier

Definitions from the Web

Universal Quantifier

Description:

A universal quantifier is a logical term used in formal logic and mathematics to express that a statement is true for every element within a given set or domain. It is typically represented by the symbol ∀ (the upside-down A). Universal quantifiers are used to make general statements that apply to all members of a set.

Example Sentences:

The statement "For all x, P(x)" uses a universal quantifier to indicate that the property P holds true for every element x in the set.
In mathematics, universal quantifiers are frequently used in theorems and proofs to establish universally valid results.
The universal quantifier is an essential concept in predicate logic, allowing us to express general statements with precision.

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