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In set theory and its applications throughout mathematics, a class is a collection of mathematical objects (often sets) that can be unambiguously defined by a property that all its members share. Classes act as a way to have set-like collections while differing from sets so as to avoid paradoxes, especially Russell's paradox (see § Paradoxes). The…
Examples, Classes in formal set theories & Paradoxes
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class classes set sets theory proper displaystyle objects members paradoxes example numbers many one zf formula nbg collection ordinal used
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