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So, you're a two-boxer? Your current action/thinking having an impact on the predictor's choice is too hard to fathom in this gedanken experiment?
Yes, two-boxer.
I think the paradox comes because we have to assume an impossible precondition. An accurate predictor cannot exist as postulated. If it exists, our current understanding of the world is wrong.
It reminds me of Pascal's wager, and one-boxing is believing the predictor can exist.
So, you're a two-boxer? Your current action/thinking having an impact on the predictor's choice is too hard to fathom in this gedanken experiment?