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Zack_M_Davis comments on Getting Over Dust Theory - Less Wrong
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Note that the problem of "Why do I perceive order instead of disorder?" isn't unique to this metaphysical dust theory business. Given that I expect the universe to eventually settle into thermal equilibrium, why do I believe that I'm not a Boltzmann brain temporarily and randomly formed out of that great chaos?
Good point; I don't think there is a lot of difference between the two problem statements. Boltzmann brains may require a somewhat more complex structure, if that problem includes requirements for information processing while time passes. Dust theory doesn't really require such complex structures; just structures that have enough memory and state to perceive a passage of time and a processing of information.