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calef comments on Entropy and Temperature - Less Wrong
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I think more precisely, there is such a thing as "the average kinetic energy of the particles", and this agrees with the more general definition of temperature "1 / (derivative of entropy with respect to energy)" in very specific contexts.
That there is a more general definition of temperature which is always true is worth emphasizing.
Rather than 'in very specific contexts' I would say 'in any normal context'. Just because it's not universal doesn't mean it's not the overwhelmingly common case.