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Axiom of Comprehension definition
<mathematics> 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)
Nearby terms:
axiomatic semantics « axiomatic set theory « Axiom of Choice « Axiom of Comprehension » AXLE » ayacc » AYT
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