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Chance in Boltzmannian Statistical Mechanics

Published online by Cambridge University Press:  01 January 2022

Roman Frigg
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Abstract

In two recent papers Barry Loewer (2001, 2004) has suggested to interpret probabilities in statistical mechanics as chances in David Lewis's (1994) sense. I first give a precise formulation of this proposal, then raise two fundamental objections, and finally conclude that these can be overcome only at the price of interpreting these probabilities epistemically.

Type
New Approaches to Equilibrium in Thermodynamics and Statistical
Information
Philosophy of Science , Volume 75 , Issue 5: Proceedings of the 2006 Biennial Meeting of the Philosophy of Science Association. Part II: Symposia Papers. Edited by Cristina Bicchieri and Jason Alexander , December 2008 , pp. 670 - 681
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

‡

Thanks to Jossi Berkovitz, Nancy Cartwright, David Lavis, Carl Hoefer, Barry Loewer, and Charlotte Werndl for helpful discussion and/or comments on earlier drafts. Thanks also to the audiences of the conference Time, Chance, and Reduction in Munich and the PSA meeting in Vancouver for feedback and suggestions.

References

Albert, David (2000), Time and Chance. Cambridge, MA: Harvard University Press.Google Scholar
Callender, Craig (1999), “Reducing Thermodynamics to Statistical Mechanics: The Case of Entropy”, Journal of Philosophy 96:348–373.Google Scholar
Clark, Peter (2001), “Statistical Mechanics and the Propensity Interpretation of Probability”, in Bricmont, Jean, Dürr, Detlef, Galavotti, Maria Carla, Ghirardi, Gian Carlo, Petruccione, Francesco, and Zanghì, Nino (eds.), Chance in Physics: Foundations and Perspectives. Berlin: Springer, 271–281.CrossRefGoogle Scholar
Earman, John (2006), ‘‘The ‘Past Hypothesis’: Not Even False’’, Studies in History and Philosophy of Modern Physics 37:399–430.CrossRefGoogle Scholar
Earman, John, and Rédei, Miklós (1996), ‘‘Why Ergodic Theory Does Not Explain the Success of Equilibrium Statistical Mechanics’’, British Journal for the Philosophy of Science 47:63–78.CrossRefGoogle Scholar
Elga, Adam (2004), ‘‘Infinitesimal Chances and the Laws of Nature’’, Australasian Journal of Philosophy 82:67–76.CrossRefGoogle Scholar
Frigg, Roman, and Hoefer, Carl (2007), ‘‘Probability in GRW Theory’’, Studies in History and Philosophy of Science 38:371–389.CrossRefGoogle Scholar
Goldstein, Sheldon (2001), ‘‘Boltzmann's Approach to Statistical Mechanics’’,S0031824800011740jra@ in Bricmont, Jean, Dürr, Detlef, Galavotti, Maria Carla, Ghirardi, Gian Carlo, Petruccione, Francesco, and Zanghì, Nino (eds.), Chance in Physics: Foundations and Perspectives. Berlin: Springer, 39–54.CrossRefGoogle Scholar
Hoefer, Carl (2007), ‘‘The Third Way on Objective Probability: A Sceptic's Guide to Objective Chance’’, Mind 116:549–596.CrossRefGoogle Scholar
Kac, Mark (1959), Probability and Related Topics in Physical Science. New York: Interscience Publishing.Google Scholar
Lebowitz, Joel (1993), “Macroscopic Laws, Microscopic Dynamics, Time's Arrow and Boltzmann's Entropy”, Physica A 194:1–27.Google Scholar
Lewis, David (1986), ‘‘A Subjectivist's Guide to Objective Chance’’ and “Postscripts to ‘A Subjectivist's Guide to Objective Chance'”, in his Philosophical Papers, Vol. 2. Oxford: Oxford University Press, 83–132.Google Scholar
Lewis, David (1994), ‘‘Humean Supervenience Debugged’’, Mind 103:473–90.Google Scholar
Loewer, Barry (2001), ‘‘Determinism and Chance’’, Studies in History and Philosophy of Modern Physics 32:609–629.CrossRefGoogle Scholar
Loewer, Barry (2004), ‘‘David Lewis's Humean Theory of Objective Chance’’, Philosophy of Science 71:1115–1125.CrossRefGoogle Scholar
Meacham, Christopher (2005), ‘‘Three Proposals Regarding a Theory of Chance’’, Philosophical Perspectives 19:281–307.CrossRefGoogle Scholar
Redhead, Michael (1995), From Physics to Metaphysics. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
van Lith, Janneke (2001), ‘‘Ergodic Theory, Interpretations of Probability and the Foundations of Statistical Mechanics’’, Studies in History and Philosophy of Modern Physics 32:581–594.CrossRefGoogle Scholar