Can there be infinitely many categories?

[WWW]

If objects can be replaced between categories, do we get mathematical structures that can be ordered by their abilities to replace objects, and if so, how this CAT structure will look like?

 

[matt grime]

Your last post looks like something that organic would post and makes no sense at all so I correspondenigly refuse to answer it.

 

[meteor]

I'm wondering if there exist a category in which the objects are tensors; if this category exist, please what's its name and what morphisms it has.

 

[matt grime]

Whilst there are tensor categories you ought to bear in mind these tensors are not the tensors I'm guessing you know about (invariant under rotation), so don't be mislead.