allquantifikation
Allquantifikation is the universal quantification in formal logic and semantics. It refers to an operator that asserts a predicate holds for every element of the domain of discourse.
In first-order logic the standard notation is ∀x φ(x). The formula ∀x φ(x) is true exactly when
Examples illustrate its meaning. For the real numbers, ∀x x^2 ≥ 0 is true. A statement such as
Applications of allquantifikation appear across mathematics, computer science, and linguistics. In mathematics, axioms are commonly stated