You seem to be saying that your choice is already made up from your prior mind-state, and there is no decision to be made after Omega presents you with the situation.
Not exactly; just because Omega knows what you will do beforehand with 1-epsilon certainty doesn’t mean you don’t have a choice, just that you will do what you’ll choose to do.
You still make your decision, and just like every other decision you’ve ever made in your life it would be based on your goals values intuitions biases emotions and memories. The only difference is that someone else has already taken all of those things into account and made a projection beforehand. The decision is still real, and you’re still the one who makes it, it’s just that Omega has a faster clock rate and could figure out what that decision would likely be beforehand using the same initial conditions and laws of physics.
I think I agree with your description of how choice works. Regarding the decision you should make, I can’t think of anything to say that I didn’t say before. If the question specifies how reality/physics works, the decision is obvious.
Not exactly; just because Omega knows what you will do beforehand with 1-epsilon certainty doesn’t mean you don’t have a choice, just that you will do what you’ll choose to do.
You still make your decision, and just like every other decision you’ve ever made in your life it would be based on your goals values intuitions biases emotions and memories. The only difference is that someone else has already taken all of those things into account and made a projection beforehand. The decision is still real, and you’re still the one who makes it, it’s just that Omega has a faster clock rate and could figure out what that decision would likely be beforehand using the same initial conditions and laws of physics.
I think I agree with your description of how choice works. Regarding the decision you should make, I can’t think of anything to say that I didn’t say before. If the question specifies how reality/physics works, the decision is obvious.