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“In the over-a-hundred-years of the history of the Second Law, people were puzzled by the apparent conflict between the reversibility of the equations of motion, and the irreversibility associated with the Second Law. Boltzmann was the first to attempt to derive the Second Law from the dynamics of the particles. In my opinion, this, as well as other attempts, will inevitably fail in principle. First, because it is impractical to solve the equations of motion for some 1023 particles. Second, because one cannot get probabilities from the deterministic equations of motion. Third, and perhaps most important, because of the indistinguishability of the particles. It is well known that whenever we write the equation of motions of any number of particles, we must first label the particles. This is true for classical as well as for the quantum mechanical equations of motion. However, the very act of labeling the particles violates the principle of ID of the particles.”

Arieh Ben-Naim, Farewell To Entropy, A: Statistical Thermodynamics Based On Information
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Farewell To Entropy, A: Statistical Thermodynamics Based On Information Farewell To Entropy, A: Statistical Thermodynamics Based On Information by Arieh Ben-Naim
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