axiom of comprehension

Computing Dictionary

Axiom of Comprehension definition

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.
The Free On-line Dictionary of Computing, © Denis Howe 2010
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