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gjm comments on Simulations Map: what is the most probable type of the simulation in which we live? - Less Wrong Discussion
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If you understand "defining a process" so broadly as to not suggest temporality ... then in what sense does your system "appear to have time"?
It is hard to see how any argument or evidence could possibly show that our perceived world is derived from (say) a universal Turing machine carrying out every possible computation. (Even if it's true.)