Axiom of Comprehension

<mathematics, logic> 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.

[FOLDOC]

<2001-03-16>

Try this search on OneLook / Google


Nearby terms: axiomatic semantics « axiomatic set theory « Axiom of Choice « Axiom of Comprehension » Ayer Alfred Jules » Babbage Charles » Bachelard Gaston