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The_Duck comments on Completeness of simulations - Less Wrong Discussion
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OK, but again this simply may not be possible even if you have an accurate GLUT. If you give him anything that lets him compute your true prediction in finite time, then he can compute your true prediction and then do the opposite. Even if we have a complete and accurate GLUT, we can never supply him with a true prediction if the accurate GLUT contains no entries of the form "Subject is told he is predicted to do X" -> subject does X.
Well, that's precisely my point. But see prase's comment below, with the very interesting point that every sufficiently-nice function f(x) has some x for which f(x)=x. The question is whether the human brain is sufficiently nice.