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Unknowns comments on Green Emeralds, Grue Diamonds - Less Wrong
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Excellent post. Basically simpler hypotheses are on average more probable than more complex ones, no matter how complexity is defined, as long as there is a minimum complexity and no maximum complexity. But some measures of simplicity are more useful than others, and this is determined by the world we live in; thus we learn by experience that mathematical simplicity is a better measure than "number of words it takes to describe the hypothesis," even though both would work to some extent.
Ah, I see now that we said almost the same thing.
Which is the basic receipt of Solomonoff induction!
I would only say here that simplicity is determined by the agent evaluating it, and while most agent are determined by the world that they live in, some might not.