Axiom schema of specification: Difference between revisions

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In many popular versions of [[axiomatic set theory]], the '''axiom schema of specification''',<ref name=":1" /> also known as the '''axiom schema of separation''', '''subset axiom<ref name=":0" scheme/>''' or '''axiom schema of restricted comprehension''' is an [[axiom schema]]. Essentially, it says that any definable [[subclass (set theory)|subclass]] of a set is a set.
 
Some mathematicians call it the '''axiom schema of comprehension''', although others use that term for '''''unrestricted'' comprehension''', discussed below.