"The equations of Newtonian mechanics are reversible in time and Poincaré proved that if a mechanical system is in a given state it will return infinitely often to a state arbitrarily close to the given one. Zermelo deduced that the Second Law of Thermodynamics is impossible in a mechanical system. Boltzmann asserted that entropy increases almost always, rather than always. However he believed that Poincaré's result, although correct in theory, was in practice impossible to observe since the time before a system returns to near its original state was too long."
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J.J. O'Conner, E.F. Robertson, "Ludwig Boltzmann" (Sept, 1998) Ernst Zermelo ref: "On the Mechanical Explanation of Irreversible Processes"
https://en.wikiquote.org/wiki/Entropy_(thermodynamics)
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Entropy (thermodynamics)
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