Difference between revisions of "Universal quantifier"
From Encyclopedia of Mathematics
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− | 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 | + | {{TEX|done}} |
+ | 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==== | ====Comments==== | ||
− | See also [[ | + | See also [[Quantifier]]. |
Latest revision as of 12:39, 24 December 2014
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
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