Seriously (seriously people): I've had dreams where I'm doing something ordinary. 2 months or so later, I find myself doing in reality what I dreamed of. This has happened many times over the last 6 years (once a month or so), and what I dream about is random, besides the fact that it is always something I am doing. It can be anything from waking up and going to class to sitting at my desk neffing (although in such cases the screen is blurry). However, recently I have recognized when I am doing said things in reality, and before the sequence I saw is up, I force myself to do something differing (I'm experimenting). To me, this proves that free will exists. If we can see the future of anything, it is only one of many possible futures.
I'm not crazy, and I'm not lying. I actually have 2 friends who have reported similar dreams. It may defy science, but so do a lot of things. I don't know what it is, I can't control it, but there are records of much more powerful psychics that science could not explain (ie: There was one guy in the 1950s who could speak like an MD on illnesses while in a trance, even though he had nothing past a primary school education. History Channel did a special on him)