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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
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.
(1995-03-31)