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Cantor’S Paradox

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Set theory Summary

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A Dictionary of Philosophy, Third Edition

Cantor’s paradox

. It is provable that any class has more subclasses than members. Suppose there were a class of all classes. Its subclasses, being classes, would be members of it. So there can be no class of all classes (and also no greatest cardinal NUMBER, not even among infinite numbers).

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Cantor’S Paradox from A Dictionary of Philosophy, Third Edition. ISBN: 0-203-19819-0. Published: 2003–06–08. ©2009 Taylor and Francis. All rights reserved.



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