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Ok, also, if you're interested in learning more about this, but are
philosophically attached to something like the "set of all sets" you
might find it interesting to read up on Neumann–Bernays–Gödel set theory
(http://en.wikipedia.org/wiki/Von_Neumann%E2%80%93Bernays%E2%80%93G%C3%B6del_set_theory).
It doesn't really 'fix' things like you might be hoping it would, but
it's an interesting approach to the matter.
Cheers!
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