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 freedom to share one’s insights and judgments verbally or in writing is, just like the freedom to think, a holy and inalienable right of humanity that, as a universal human right, is above all the rights of princes.”
—Carl Friedrich Bahrdt (1740–1792)