LarryLaffer: By the "dice" you are refering to the uncertainty relation aren't you? AFAIK it's just a law that we can't find out posiiton and speed of particles as exact as we wish, so we have to work with probabilities. But I think there is no real random, we just can't find out these things exactly.
I think there is a real determinism.

But omniscience has also other contradictions. If a computer should know everything about the universe, it should also know everything about itself. This is a recursion because it has to "know what it knows" so the amount of information would be infinitive and couldn't be stored on any harddisc