Omega then picks one of those individuals which isn’t you and simulates it; then Omega knows with high confidence which way you will choose.
Seems like Omega is simulating me for the purposes which matter. The “isn’t you” statement is not as trivial as it sounds, it requires a widely agreed upon definition of identity, something that gets blurred easily once you allow for human simulation. For example, how do you know you are not a part of the proof? How do you know that the statement that Omega tells you that it simulated “someone else” is even truth-evaluable? (And not, for example, a version of “this statement is false”.)
There’s a wormhole between our present and our future. Omega looks through it and sees your lips move.
Ah, Novikov’s self-consistent time loops. Given that there is no way to construct those using currently known physics, I tend to discard those. Given how they reduce all NP-hard problems to O(1) and such, making the world too boring to live in.
Seems like Omega is simulating me for the purposes which matter. The “isn’t you” statement is not as trivial as it sounds, it requires a widely agreed upon definition of identity, something that gets blurred easily once you allow for human simulation. For example, how do you know you are not a part of the proof? How do you know that the statement that Omega tells you that it simulated “someone else” is even truth-evaluable? (And not, for example, a version of “this statement is false”.)
Ah, Novikov’s self-consistent time loops. Given that there is no way to construct those using currently known physics, I tend to discard those. Given how they reduce all NP-hard problems to O(1) and such, making the world too boring to live in.