FOM: Russell paradox for naive category theory

Carsten BUTZ butz at math.mcgill.ca
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




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