FOM: Russell paradox for naive category theory

Carsten BUTZ butz at
Thu May 6 17:38:04 EDT 1999

On Thu, 6 May 1999, Stephen G Simpson wrote:

> The real question that I was asking is: Why do people keep talking
> about ``the category of all categories'', when there is (my version
> of) the Russell paradox for naive category theory?  Are they unaware
> of this paradox?  Perhaps they are aware of it but don't accept it?
> If they don't accept it, why not?  Have they considered ways of
> evading it?  I would like answers to these questions.

Who does this? I for myself have not seen this. And I would not trust a
paper doing this unless the typing is easy to restore (i.e., that it is
meant the (large) category of all (small) categories, i.e., Cat).

Carsten Butz

Carsten Butz
Dept. of Mathematics and Statistics 
McGill University, Montreal, Canada

More information about the FOM mailing list