Definition:Universal Class

Definition
The universal class is the class of which all sets are elements.

The universal class is defined most commonly in literature as:


 * $V = \set {x: x = x}$

where $x$ ranges over all sets.

It can be briefly defined as the class of all sets.

Also see

 * Definition:Universal Set


 * Definition:Model of Class-Set Theory


 * Fundamental Law of Universal Class