>> You could argue that Occam's Razor is a reasonable distribution on prior probabilities. But what is a "reasonable" distribution?
If you make the assumption that what you observe is the result of a computational process, the prior probability of a lossless description/explanation/theory of length l becomes inversely proportional to the size of the space of halting programs of length l. You're free to dismiss the assumption, of course.
>>"But," you cry, "why is the universe itself orderly?"
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>> You could argue that Occam's Razor is a reasonable distribution on prior probabilities. But what is a "reasonable" distribution?
If you make the assumption that what you observe is the result of a computational process, the prior probability of a lossless description/explanation/theory of length l becomes inversely proportional to the size of the space of halting programs of length l. You're free to dismiss the assumption, of course.
>>"But," you cry, "why is the universe itself orderly?"
One reason among many may be the KAM-Theorem.