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wedrifid comments on Fundamentally Flawed, or Fast and Frugal? - Less Wrong
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In chess or go idealized Bayesians just make the right move because they are logically omniscient.
Logical omniscience comes close to the perfect move but understanding the imperfections of the opponent can alter what the ideal move is slightly. This requires prior information that can not be derived logically (from the rules of the game).