universal quantifier

[/ˌjuːnɪˈvɜːrsəl ˈkwɒntɪfaɪər/]
nounpl: universal quantifiers
quantificador universal
1. A logical operator in first-order logic symbolized by ∀ (inverted A) that indicates a statement applies to all members of a given domain or set
The universal quantifier in 'for all x, x is mortal' asserts that every member of the domain is mortal.
O quantificador universal em 'para todo x, x é mortal' afirma que cada membro do domínio é mortal.
2. A symbol or word used in formal logic to express that a property or relation holds for all elements within a specified set or universe of discourse
In the formula ∀x(P(x)), the universal quantifier indicates that the predicate P applies to all values of x.
Na fórmula ∀x(P(x)), o quantificador universal indica que o predicado P se aplica a todos os valores de x.
This is a technical term from formal logic and mathematics, used consistently across English and Portuguese-speaking academic communities. It is primarily encountered in university-level logic courses, mathematics, computer science, and philosophy programs. The term is not subject to regional variation or slang usage, as it maintains standardized meaning in formal contexts.
Synonyms / Sinônimos
for allfor everyuniversal operatoruniversal quantification
Antonyms / Antônimos
existential quantifierthere exists

Regional Variations

General Brazilian Portuguese
quantificador universal
Standard term used in logic and mathematics education
Portugal
quantificador universal
Same standard terminology as in Brazil
Academic/Technical
quantificador universal
Primarily used in academic and technical contexts across all Portuguese-speaking regions

Related Words

existential quantifierfirst-order logicpredicate logicdomain of discourselogical operatorquantificationscope

Related Idioms & Phrases

for all intents and purposes
across the board
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