Particularly in this case where Omega is being explicitly dishonest—Omega is claiming to be either be sufficiently omniscient to predict my actions, or insufficiently omniscient to predict the result of a ‘fair’ coin, except that the ‘fair’ coin is explicitly predetermined to always give the same result
Coin is not predetermined, and it doesn’t matter if Omega has hand-selected every result of the coin toss, as long as we don’t have any reason to slide the probability of the result to either direction.
Well, we’re assuming Omega wants more money rather than less, aren’t we?
If it’s sufficiently omniscient to predict us, a much more complicated type of thing than a coin, what reason would it have to ever flip a physically fair coin which would come up heads?
Coin is not predetermined, and it doesn’t matter if Omega has hand-selected every result of the coin toss, as long as we don’t have any reason to slide the probability of the result to either direction.
Well, we’re assuming Omega wants more money rather than less, aren’t we?
If it’s sufficiently omniscient to predict us, a much more complicated type of thing than a coin, what reason would it have to ever flip a physically fair coin which would come up heads?