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Kindly comments on Irrationality Game II - Less Wrong Discussion
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At some point you have to ask: who is this "me" that can have any arbitrary collection of beliefs?
(And yes, incidentally, I don't assign 100% probability to the fact that I assign 100% probability to the statement "0 and 1 are probabilities." I think I could be persuaded, not to have a lower confidence in the 0-1 statement, but to believe that my confidence in it is lower than it is. This is sort of hard to think about, though.)