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Gavin comments on Mathematics as a lossy compression algorithm gone wild - Less Wrong
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I would think those would all be representable by a Turing Machine, but I could be wrong about that. Certainly, my understanding of the Ultimate Ensemble is that it would include universes that are continuous or include irrational numbers, etc.
Turing Machines have discrete, not continous states. There is a countable infinity of Turing Machines.