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Raiden comments on Preferences without Existence - Less Wrong Discussion
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I guess what I'm saying is that since simpler ones are run more, they are more important. That would be true if every simulation was individually important, but I think one thing about this is that the mathematical entity itself is important, regardless of the number of times it's instituted. But it still intuitively feels as though there would be more "weight" to the ones run more often. Things that happen in such universes would have more "influence" over reality as a whole.
I am saying that in order to make the claim "simple universes are run more," you first need the claim that "most universes are more likely to run simple simulations than complex simulations." In order to make that second claim, you need to start with a measure of what "most universes" means, which you do using simplicity. (Most universes run simple simulations more because running simple simulations is simpler.)
I think there is a circular logic there that you cannot get past.