## 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

### Nearby terms:

axiomatic set theory ♦ Axiom of Choice ♦ **Axiom of Comprehension** ♦ axiom schema ♦ AXLE

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