proper class

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proper class

mathematics

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set theory
The Neumann-Bernays-Gödel axioms
…are not sets are called proper classes. Intuitively, sets are intended to be those classes that are adequate for mathematics, and proper classes are thought of as those collections that are “so big” that, if they were permitted to be sets, contradictions would follow. In NBG, the classical paradoxes are…
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…are not sets are called proper classes. Intuitively, sets are intended to be those classes that are adequate for mathematics, and proper classes are thought of as those collections that are “so big” that, if they were permitted to be sets, contradictions would follow. In NBG, the classical paradoxes are…
Read More