On the paradox of reversible processes in thermodynamics

This paper discusses an argument by Norton (in: European Philosophy of Science—Philosophy of Science in Europe and the Viennese Heritage, Vienna Circle Institute Yearbook, vol 17, Springer, Dordrecht, pp 197–210, 2014, 2016) to the effect that reversible processes in thermodynamics have paradoxical character, due to the infinite-time limit. For Norton, one can “dispel the fog of paradox” by adopting a distinction between idealizations and approximations, which he himself puts forward. Accordingly, reversible processes ought to be regarded as approximations, rather than idealizations. Here, we critically assess his proposal. In doing so, we offer a resolution of his alleged paradox based on the original work by Tatiana Ehrenfest-Afanassjeva on the foundations of thermodynamics.