Is the category Hask of haskell objects an example of a locally small category?
http://ncatlab.org/nlab/show/locally+small+category
Maybe not.. hask as cpo htt
Hask objects are Haskell types which are countably infinite. Hask arrows are Haskell functions which are also countably infinite. Therefore Hask is not only locally small, Hask is small.
card(ob(Hask))=card(hom(Hask))=card(N)
More details about Hask here:
http://yannesposito.com/Scratch/en/blog/Category-Theory-Presentation/