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:
“I admit that the generation which produced Stalin, Auschwitz and Hiroshima will take some beating; but the radical and universal consciousness of the death of God is still ahead of us; perhaps we shall have to colonize the stars before it is finally borne in upon us that God is not out there.”
—R.J. Hollingdale (b. 1930)