Axiom of ComprehensionAn {axiom schema} of {set theory} which states: if P(x) is a {property} then {x : P} is a set. I.e. all the things with some property form a set. Acceptance of this axiom leads to {Russell's Paradox} which is why {Zermelo set theory} replaces it with a restricted form. (1995-03-31)