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SimonF comments on The Irrationality Game - Less Wrong
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Clearly, I do not understand how this data point should influence my estimate of the probablity that general, computationally tractable methods exist.
To me it seems a lot like the question of whether general, computationally tractable methods of compression exist.
Provided you are allowed to assume that the expected inputs obey some vaguely-sensible version of Occam's razor, I would say that the answer is just "yes, they do".