# Universal quantifier

From Encyclopedia of Mathematics

A logical operator which serves to form propositions using the expression "for all x" . In formal languages the universal quantifier is most often denoted by $\forall x$, $(\forall x)$, or $(x)$. Also used are the notations $(\mathbf{A} x)$, $\cap_x$, $\wedge_x$, $\Pi_x$.

#### Comments

See also Quantifier.

**How to Cite This Entry:**

Universal quantifier.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Universal_quantifier&oldid=35864

This article was adapted from an original article by V.E. Plisko (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article