Advice On A "friend"

I was going out with this girl and i felt like i was giving it my all in that relationship. On her end it seemed like nothing. Things were not working out and i knew it, and she broke up with me. She said she still wanted to be there for me after she broke up with me. She said she wanted to be friends and that she wanted to talk and everything. She still texts me sometimes and we mostly never say hi to each other in school. Would you still be friends after they said they lost interest in you? In my opinion, i want her out of my life, but another side of me say's that confronting her and being her friend will make me stronger. It also hurts me because i still think we can get back together. I don't want that to happen. Should i stop talking to her completely or should i be on the friend side.
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Jan 14, 2013