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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?
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It reminds me of Pascal's wager, and one-boxing is believing the predictor can exist.
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The video doesn't address the first question I had: how do you explain that the predictor can possibly have such a high accuracy?
Surely there is at least one person that, in such a scenario, will throw a fair coin to decide. You're telling me that the predictor can reliably predict the coin toss. If this is true, the consequences of this fact are far greater than the amount of money I win in the game...