= 27d567bc2d48d9f40e9ccc20ea370b15)
cousin_it comments on The prior of a hypothesis does not depend on its complexity - Less Wrong
You are viewing a comment permalink. View the original post to see all comments and the full post content.
= 783df68a0f980790206b9ea87794c5b6)
Loading…= b715d02e85f7b3b4ae65ca3d3e450868)
Subscribe to RSS Feed
Powered by Reddit
= f037147d6e6c911a85753b9abdedda8d)
You are viewing a comment permalink. View the original post to see all comments and the full post content.
Comments (59)
Huh? All hypotheses of a given complexity don't have to sum to 1, because they aren't mutually exclusive.
The math of it isn't as neat as I'd like, but what I mean is that there are only finitely many hypotheses of each complexity, exponentially many as the complexity goes up, and that most of them differ from each other at some point, so ordinary summability criteria "almost" apply. I don't think that the number of epiphenomenal hypotheses could be enough to keep the average up.
A hypothesis has approximately the same complexity as its negation, so we have many pairs that sum to 1 each.