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Eliezer_Yudkowsky comments on The Second Law of Thermodynamics, and Engines of Cognition - Less Wrong
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The fact that you know all the trajectories/positions couldn't matter less to the glass of water, the only thing that matters is (using your jargon) the phase space volume it occupies.
What, precisely, do you think it means for a statistically viewed system to "occupy a volume of phase space"? When you talk about the "number of microstates", what exactly do you think you are counting?