Relationship ended, he wants to be friends but I don't - advice?

So I just got out of a rather short relationship – just a couple of months – we basically hit it off after the first date and moved pretty fast emotionally. He was crazy about me, telling me that I’m the girl he’s been looking for, told his family about me, and “couldn’t wait to introduce [me] to them.” Long story short, he fucked up big-time last week and it’s over. I think he’s bipolar, because the way he treated me when I confronted him about his fuck-up was TOTALLY unlike him. Very cold and distant, making me feel like a nuisance, when he’s always been overly concerned for my feelings and well-being in the past.

Now that his “mood” has blown over, he wants to be friends; but frankly, I don’t want to ever talk to him again. We never WERE friends, so why would we be now?? I don’t understand why men expect women to be their friends after they treat them like shit. So here’s my dilemma: When I tell him that it’s over COMPLETELY and that friendship is not an option, he acts like I’m over-reacting and being emotional. So it’s a lose-lose situation for me. I don’t want him thinking that I’m being uber-dramatic and so emotionally scarred that I can’t be his friend – because that’s not the case. I simply do not want to invest the time into being friends with some asshole who can turn on me so unexpectedly. I wanted MORE than friendship from him, and he couldn’t deliver. However, if I were to choose to be his friend, I would feel like a doormat.

Advice?