Axiom of Comprehension

<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.

Last updated: 1995-03-31

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Nearby terms:

axiomatic semantics « axiomatic set theory « Axiom of Choice « Axiom of Comprehension » axiom schema » AXLE » ayacc

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