universal quantifier (Meaning)

Wordnet

universal quantifier (n)

a logical quantifier of a proposition that asserts that the proposition is true for all members of a class of things

No Synonyms and anytonyms found

The universal quantifier asserts that a property holds for all members of a specified domain.
In mathematical logic, the universal quantifier is symbolized by the inverted capital letter A.
The universal quantifier binds a variable, indicating that the property holds for any value of that variable.
The statement "∀x, P(x)" expresses that for all x in the domain, the property P(x) holds.
The universal quantifier can be used to express general laws or principles that apply to all members of a class.
The definition of a set using the universal quantifier ensures that all elements of the set satisfy a specific property.
In predicate logic, the universal quantifier is used to formalize statements that make claims about the entire domain.
The universal quantifier is a crucial tool for expressing universal truths and generalizing over a specified domain.
Proofs involving the universal quantifier require demonstrating that the property holds for all possible values of the bound variable.
The universal quantifier is an essential component of many mathematical and logical arguments and helps to establish the scope and validity of statements.

a logical quantifier of a proposition that asserts that the proposition is true for all members of a class of things

No synonyms found.

No antonyms found.

The universal quantifier asserts that a property holds for all members of a specified domain.

In mathematical logic, the universal quantifier is symbolized by the inverted capital letter A.

The universal quantifier binds a variable, indicating that the property holds for any value of that variable.

The statement "∀x, P(x)" expresses that for all x in the domain, the property P(x) holds.