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axiom of comprehension

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Computing Dictionary

Axiom of Comprehension mathematics
An axiom schema of set theory which states: if P(x) is a property then
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.
(1995-03-31)

The Free On-line Dictionary of Computing, © 1993-2007 Denis Howe
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