It has been already stated that those who have a good memory are not identical with those who are quick at recollecting. But the act of recollecting differs from that of remembering, not only chronologically, but also in this, that many also of the other animals (as well as man) have memory, but, of all that we are acquainted with, none, we venture to say, except man, shares in the faculty of recollection
Adding onto this, While remember merely refers to holding something in one's recollection, recollect suggests an intentional attempt to bring something to mind.