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Baughn comments on Harry Potter and the Methods of Rationality discussion thread - Less Wrong
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Time-travel doesn't make the universe uncomputable, is the thing.
Time-travel makes certain laws of physics uncomputable, but there are any number of equivalent, far more complex sets of laws that would look the same to humans but remain computable - Eliezer's mind is running one, for starters. When writing a simulation, you would use one of those.