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gjm comments on New Philosophical Work on Solomonoff Induction - Less Wrong Discussion

2 Post author: vallinder 27 September 2016 11:12AM

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Comment author: ImmortalRationalist 30 September 2016 04:54:12AM 0 points [-]

But why should the probability for lower-complexity hypotheses be any lower?

Comment author: gjm 01 October 2016 01:02:35AM -1 points [-]

But why should the probability for lower-complexity hypotheses be any lower?

It shouldn't, it should be higher.

If you just meant "... be any higher?" then the answer is that if the probabilities of the higher-complexity hypotheses tend to zero, then for any particular low-complexity hypothesis H all but finitely many of the higher-complexity hypotheses have lower probability. (That's just part of what "tending to zero" means.)