Universal quantifier

From Encyclopedia of Mathematics
Jump to: navigation, search

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 $(\mathbf{A} x)$, $\cap_x$, $\wedge_x$, $\Pi_x$.


See also Quantifier.

How to Cite This Entry:
Universal quantifier. Encyclopedia of Mathematics. URL:
This article was adapted from an original article by V.E. Plisko (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article