> Actually, I don't think that the answer that was given is right.

The enrichment doesn't give us any information about how objects are related, so we can only really get a set, as Anindya points out -- and there's a trivial information-free preorder, the codiscrete preorder, which we can endow on any set. Can you explain where this logic falls through?

**EDIT:** changed "discrete" to "codiscrete" -- all arrows need to be the same, but the discrete preorder has "existing" identity arrows and "nonexistent" other arrows. The codiscrete preorder has all arrows.