Axiom of Comprehension

<mathematics> An 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.

Nearby terms:
axiomatic semantics « axiomatic set theory « Axiom of Choice « Axiom of Comprehension » AXLE » ayacc » AYT