Firstly, if it was a bad breakup, don't take it personally. A lot of people I talk to that decide to cut things off in an immediate fashion in their romantic lives is mostly due to their own personal shortcomings that they aren't comfortable with at the time.
Secondly, express yourself. I know we're INTPs and at some points in our lives are terribly equipped to do so, but find a way. Try writing a letter to the other person describing how you feel and how you wanted things to work out, but never send it to them. Instead, stash it someplace private, and when you get to the point (Weeks, months, possibly years later) where you can rip it up/burn it/etc without thinking twice about it, then you can start the real healing process. A few glasses of wine will help this along.
Third, don't push yourself to move on too quickly. We all have our own pace, so don't let your friends convince you that seeing someone else will help you get over the situation. It only helps in the same way as breaking your finger helps take away the pain from a gunshot wound in the leg. I lost the only woman I've loved to a drug addiction years ago, and have from then on filled that space with meaningless flings. It's a slippery slope, and it's not worth it.
Lastly, get out of the house, and stay out. Burn the candle at both ends in your extracurricular life for a little while. Introverted thinking is the enemy in this situation, and the simplest way to battle it is to keep yourself busy.
"Pick yourself up, Dust yourself off, Start all over again..."