Eliezer_Yudkowsky comments on Harry Potter and the Methods of Rationality discussion thread, part 25, chapter 96 - Less Wrong

6 Post author: NancyLebovitz 25 July 2013 04:36AM

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Comment author: Eliezer_Yudkowsky 25 July 2013 06:50:04PM 12 points [-]

1) Why "complexity penalty" should work in fiction, even in a rationalist fiction?

Because there will still be an infinite (countable) number of finite hypotheses which could be considered and only a finite amount of probability to divide among them, which necessarily implies that in the limit more complicated hypotheses will have individual probability approaching zero. This will be true in the limit even if you define 'complexity' differently than the person who constructed the distribution.

Comment author: ThisSpaceAvailable 27 July 2013 09:59:06PM *  2 points [-]

Is "A or B" more "complex" than "A"? It seems to me that it generally takes more bits to say "A or B", but the prior for "A" should be smaller than for "A or B". Is there something in the "assign prior according to complexity" heuristic that accounts for that?