cousin_it comments on Born rule or universal prior? - Less Wrong Discussion
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I'm having trouble figuring out a proof for your last claim... But then again, maybe I'm just being stupid because two other people have tried to explain it to me and I didn't understand their attempts either :-(
These two pages from the 1997 edition of "An Introduction to Kolmogorov Complexity and Its Applications" seem relevant.
Thanks a lot! I'm now convinced that the claim is true, but have no idea why :-) Will try to work through the proof.