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I will try to prove that solomonoff induction leads to solipsism:
The most simple explanation for everything is solipsism: Only my mind exists, nothing else. All experiences of an outside world are dream-like illusions. The world is very, very much more complex than my mind. Therefore, according to solomonoffs lightsaber, the prior for Solipsism = 1-epsilon No reasonable amount of evidence can counter a prior that is that extreme.
Therefore, if solomoff induction is true, then solipsism is true.
With "your mind" undefined, solipsism is meaningless.
If only "your mind" exists and nothing else, then "your mind" (whatever it is) is the universe. How this differs from any other kind of universe, part of which can arbitrarily be labelled "you" and another part "me" escapes me. But feel free to disregard my opinion if you think I don't really exist :)