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\item Russell's paradox: let $S = \Setabs{x}{x \notin x}$. Then $x | |
\in S$ if and only if $x \notin S$, a contradiction. | |
\emph{Conclusion:} There is no such set~$S$. Assuming the existence of a | |
``set of all sets'' is inconsistent with the other axioms of set | |
theory. |
I think this should say "then
Also: Is the "the set of all sets" trying to refer to S? I would have expected S to be described as "the set of all sets that do not contain themself".
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