In predicate logic, universal quantification formalizes the notion that something (a logical predicate) is true for everything, or every relevant thing. It is usually denoted by the turned A (∀) logical operator symbol which is interpreted as "given any" or "for all", and which, when used together with a predicate variable, is called a universal quantifier. Universal quantification is distinct from existential quantification ("there exists"), which asserts that the property or relation holds for at least one member of the domain.
Quantification in general is covered in the article on quantification. Symbols are encoded U+2200 ∀ for all (HTML: ∀ ∀ as a mathematical symbol).
Read more about Universal Quantification: Basics, Universal Closure
Famous quotes containing the word universal:
“The experience of the gangster as an experience of art is universal to Americans. There is almost nothing we understand better or react to more readily or with quicker intelligence.... In ways that we do not easily or willingly define, the gangster speaks for us, expressing that part of the American psyche which rejects the qualities and the demands of modern life, which rejects “Americanism” itself.”
—Robert Warshow (1917–1955)