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The reversibility objection against the Second Law of thermodynamics viewed, and avoided, from a logical point of view

Bibliographic Data

ID19501461
AuthorsThomas Mueller (0000-0001-9305-7716), Thomas Müller (0000-0003-1225-1483, University of Konstanz, corresponding author)
Year2019
Volume66
Pages52-61
Publication date2019-05-01
Open AccessYes
TypeARTICLE
VenueStudies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics (JOURNAL)
Journal identifiersISSN: 1355-2198 • E-ISSN: 1879-2502
PublisherElsevier BV (PUBLISHER)
DOI10.1016/j.shpsb.2018.09.002
OpenAlexW2908143725
LanguageEN
References cited10

In this paper we offer a formal-logical analysis of the famous reversibility objection against the Second Law of thermodynamics. We reconstruct the objection as a deductive argument leading to a contradiction, employing resources of standard quantified modal logic and thereby highlighting explicit and implicit assumptions with respect to possibility, identity, and their interaction. We then describe an alternative framework, case-intensional first order logic, that has greater expressive resources than standard quantified modal logic. We show that in that framework we can account for the role of sortals in possibility judgments. This allows us to formalize the relevant truths involved in the reversibility objection in such a way that no contradiction ensues. We claim that this analysis helps to understand in which way the Second Law is, specifically, a law of thermodynamics, but not of systems of particles in general

Laws of thermodynamics · Non-equilibrium thermodynamics · Physics · Political science · Second law of thermodynamics · Theoretical physics · Thermodynamics · Law · Mathematics · Molecular spectroscopy and chirality · Protein Structure and Dynamics · Topological and Geometric Data Analysis

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