You know right up until this moment I had this awful suppressed thought somewhere in the back of my mind that the only remaining answer was that my whole universe was a computer simulation like in the book Simulacron 3 but now even that is ruled out because this little toy ISN’T TURING COMPUTABLE!
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.
Mentioned in passing in chapter 14:
Best wishes, the Less Wrong Reference Desk.
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!