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May 2nd, 2004, 03:30 AM
#1
Russell's Paradox
And I quote
Russell's paradox is the most famous of the logical or set-theoretical paradoxes. The paradox arises within naive 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.
While I have understood this, I was wondering of some examples of "sets of sets which are not members of themselves."
Off the top of my head, {NULL} would be an example. Is this correct? (How do I type that null symbol, where's NoteMe when you need him? )
Can I see more examples of such sets?
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