info prev up next book cdrom email home

Class (Set)

A class is a special kind of Set invented to get around Russell's Paradox while retaining the arbitrary criteria for membership which leads to difficulty for Sets. The members of classes are Sets, but it is possible to have the class $C$ of ``all Sets which are not members of themselves'' without producing a paradox (since $C$ is a proper class (and not a Set), it is not a candidate for membership in $C$).

See also Aggregate, Russell's Paradox, Set

© 1996-9 Eric W. Weisstein