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    A reduction of a concept cannot legitimately presuppose t... — Carmelics
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    Challenges→The proposed microscopic reduction of gas temperature is circular and therefore fails as a genuine reduction

    A reduction of a concept cannot legitimately presuppose that concept in its defining conditions

    Philosophy of LanguageTruth & Knowledge
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    Philosophy of LanguageTruth & Knowledge

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    Causation2 linkedSkepticism

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    The Boltzmann distribution is expressed as a function of temperature itselfThe Boltzmann distribution is the microscopic condition required to complement a...The derivation of the Boltzmann distribution appeals to the thermodynamic law co...The proposed microscopic reduction of gas temperature is circular and therefore ...

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    Consider first the relatively simple case of gas temperature, which has often been supposed reducible to the average kinetic energy of the gas’s molecules (cf. Nagel 1961, p. 343). A particular average kinetic energy of the molecules is only a necessary condition for having a given temperature, however. Only gases at equilibrium have a definite temperature, when all the spatial parts have the same temperature as the whole (reflecting the fact that temperature is an intensive property). A suffici

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