Axiom of Comprehension


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

Nearby terms:

axiomatic set theoryAxiom of ChoiceAxiom of Comprehensionaxiom schemaAXLE

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