OK, I understand now. I agree that the problem needs a bit of specification. If we treat the assumption that Omega is a perfect (or quasi-perfect) predictor as fixed, I see two possibilities:
Omega predicts by taking a sufficiently inclusive initial state and running a simulation. The initial state must include everything that predictably affects your choice (e.g. Mentok, or classical coin flips), so there is no trickery like “adding nodes” possible. The assumption of a Predictor requires that your choice is deterministic: either quantum mechanics is wrong, or Omega only offers the problem in the first place to people whose choice will not depend on quantum effects. So you cannot (or “will not”) use the qubit strategy.
Omega predicts by magic. I don’t know how magic works, but assuming it is more or less my choice affecting the prediction directly in an effective back-in-time causation, then the one-box solution becomes trivial as you say.
So I think the first interpretation is the one that makes the problem interesting. I was assuming it in my analogy to Smoking.
OK, I understand now. I agree that the problem needs a bit of specification. If we treat the assumption that Omega is a perfect (or quasi-perfect) predictor as fixed, I see two possibilities:
Omega predicts by taking a sufficiently inclusive initial state and running a simulation. The initial state must include everything that predictably affects your choice (e.g. Mentok, or classical coin flips), so there is no trickery like “adding nodes” possible. The assumption of a Predictor requires that your choice is deterministic: either quantum mechanics is wrong, or Omega only offers the problem in the first place to people whose choice will not depend on quantum effects. So you cannot (or “will not”) use the qubit strategy.
Omega predicts by magic. I don’t know how magic works, but assuming it is more or less my choice affecting the prediction directly in an effective back-in-time causation, then the one-box solution becomes trivial as you say.
So I think the first interpretation is the one that makes the problem interesting. I was assuming it in my analogy to Smoking.