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Russell's Paradox

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Description: By A. D. Irvine.
Russell's Paradox (Stanford Encyclopedia of Philosophy) First published Fri Dec 8, 1995; substantive revision Tue Dec 3, 2013 Russell's paradox is the most famous of the logical or set-theoretical paradoxes. Also known as the Russell-Zermelo paradox, the paradox arises within naïve set theory by considering the set of all sets that are not members of themselves. Such a set appears to be a member of itself if and only if it is not a member of itself. Hence the paradox.
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