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Vladimir_Nesov comments on Would AIXI protect itself? - Less Wrong
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This is probably false. Its programs-hypotheses are computable, but they don't have to be the universe. And they could be proving useful facts about the universe and about AIXI itself.
Additionally, AIXI could possess a simplified but still useful model of itself. Any one of the already-described Monte-Carlo approximations could provide a starting point.
Humans only ever model imperfect approximations of themselves, and we get by okay.