Main Ideas in the Axiomatics of Thermodynamics

Abstract

Recent advances in axiomatic treatments of thermodynamics are surveyed, by considering the new ideas rather than the mathematical technicalities. It is shown that the advance has been considerable, and can be summarized by the remark that the number of primitive concepts needed (for example to arrive at the notion of entropy) has been steadily decreased. The importance and significance of certain mathematical notions, notably those of various forms of order, is emphasized. It is explained in what connections broad continuity assumptions are convenient and indications are given of how these can be replaced by more rigorous procedures. Remarks about extensive properties and about the zeroth law are also included. © 1970, Walter de Gruyter. All rights reserved.