## LESSWRONGLW

There are more hypotheses with a high complexity than with a low complexity, so it is mathematically necessary to assign lower probabilities to high complexity cases than to low complexity cases (broadly speaking and in general -- obviously you can make particular exceptions) if you want your probabilities to sum to 1, because you are summing an infinite series, and to get it to come to a limit, the terms in the series must be generally decreasing.

But in the infinite series of possibilities summing to 1, why should the hypotheses with the highest probability be the ones with the lowest complexity, as opposed to having each consecutive hypothesis having an arbitrary complexity level?