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:
“Of lower states, of acts of routine and sense, we can tell somewhat; but the masterpieces of God, the total growths and universal movements of the soul, he hideth; they are incalculable. I can know that truth is divine and helpful; but how it shall help me I can have no guess, for so to be is the sole inlet of so to know.”
—Ralph Waldo Emerson (1803–1882)