universal quantifier Synonyms
No Synonyms and anytonyms found
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
universal quantifier Sentence Examples
- 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.
FAQs About the word universal quantifier
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.
