note: Nozick does NOT say that he endorses two-boxing. He describes the argument for it as you say, without stating that he believes it’s correct.
I disagree with your analysis
The point isn’t that Omega is a faulty predictor. The point is that even if Omega is an awesome predictor, then what you do now can’t magically fill or empty box B”.
That second part is equivalent to “in this case, Omega can fail to predict my next action”. If you believe it’s possible to two-box and get $1.001M, you’re rejecting the premise.
What you do next being very highly correlated with whether the $1M is in a box is exactly the important part of the thought experiment, and if you deny it, you’re answering a different question. Whether it’s ‘magic’ or not is irrelevant (though it does show that the problem may have little to do with the real world).
I’m FINE with saying “this is an impossible situation that doesn’t apply to the real world”. That’s different from saying “I accept all the premises (including magic prediction and correlation with my own actions) and I still recommend 2-boxing”.
note: Nozick does NOT say that he endorses two-boxing. He describes the argument for it as you say, without stating that he believes it’s correct.
I disagree with your analysis
That second part is equivalent to “in this case, Omega can fail to predict my next action”. If you believe it’s possible to two-box and get $1.001M, you’re rejecting the premise.
What you do next being very highly correlated with whether the $1M is in a box is exactly the important part of the thought experiment, and if you deny it, you’re answering a different question. Whether it’s ‘magic’ or not is irrelevant (though it does show that the problem may have little to do with the real world).
I’m FINE with saying “this is an impossible situation that doesn’t apply to the real world”. That’s different from saying “I accept all the premises (including magic prediction and correlation with my own actions) and I still recommend 2-boxing”.