The problem that’s normally focused on is that we want to think our decision is independent, and not as predictable as stated in the problem. Once you get over that, there’s no more riddle, it’s just math.
Your causality diagram should start at T0: the configuration of the universe is such that there is no freedom at T2, and Omega knows enough about it to predict what will happen. And you’re correct, the problem doesn’t violate causality, it violates the free-will assumption behind the common versions of CDT.
Note: it’s just a thought experiment, and we need to be careful about updating on fiction. It doesn’t say anything about whether a human decision can be known by a real Omega, only that IF it could, that implies the decision isn’t made when we think it is.
The problem that’s normally focused on is that we want to think our decision is independent, and not as predictable as stated in the problem. Once you get over that, there’s no more riddle, it’s just math.
Your causality diagram should start at T0: the configuration of the universe is such that there is no freedom at T2, and Omega knows enough about it to predict what will happen. And you’re correct, the problem doesn’t violate causality, it violates the free-will assumption behind the common versions of CDT.
Note: it’s just a thought experiment, and we need to be careful about updating on fiction. It doesn’t say anything about whether a human decision can be known by a real Omega, only that IF it could, that implies the decision isn’t made when we think it is.