Axiom of Comprehension
Axiom of Comprehension
(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.
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.
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)