FOM: Russell paradox, NFU, categories
Stephen G Simpson
simpson at math.psu.edu
Tue Feb 22 11:30:25 EST 2000
Mathias, 22 Feb 2000:
> 11. Some years ago I saw a preprint of a paper by Feferman
> investigating the possibility of a category of all categories
> within the framework of Quine's system of New Foundations, which
> admits a set of all sets. Can anyone tell me more about that ?
There was discussion of this NFU issue around May 1999 on FOM, in
connection with my Russell paradox for naive category theory. Forster
helped me get clear on this. As I recall, the conclusion was that my
paradox doesn't work in the setting of NFU, because my notion of
autistic category isn't definable by a stratified formula. In NFU you
can have something called ``the category of all categories'', but at
huge cost.
I still think my Russell paradox for naive category theory is
interesting and I am thinking of writing it up for publication.
-- Steve
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