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DanielVarga comments on Harry Potter and the Methods of Rationality discussion thread, part 7 - Less Wrong
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Thanks! All right, that rules it out. It is a bit weird, because I think the quote ends with a non sequitur. If we live in a Turing-noncomputable universe, we can build a computing device (hypercomputer) that can run the simulation of another Turing-noncomputable universe. (*) So the non-Turingness of a Universe is orthogonal to its simulatedness.
(*) Not always, but this is irrelevant here.
More directly, making something close enough to a time-turner to fool the residents is certainly Turing-computable.
ETA: Especially if you're in charge of computing the residents!