Leibniz and the Second Law of Thermodynamics
PDF

Keywords

Gottfried Wilhelm Leibniz
vis viva
energy
thermodynamics

How to Cite

Leibniz and the Second Law of Thermodynamics. (2025). Teorie vědy Theory of Science. https://doi.org/10.46938/tv.2025.630

Abstract

This article is a loose sequel to a previous article Leibniz and the First Law of Thermodynamics (Theory of Science 46(1):89–114, 2024). But this time I analyze in detail the modern debate between Leibniz, Newton, Clarke, and Descartes, anticipating later considerations regarding the Second Law of Thermodynamics. Although Leibniz’s aposteriori proof refuting the Second Law of Thermodynamics turns out to be less convincing than his apriori proof in support of the First Law, both came to be reflected in the formulation of the Second Law of Thermodynamics. After all, as Leibniz himself stated, and also demonstrated in the Protogaea, physics can get by without it.

PDF

References

Primary sources

A Leibniz, Gottfried W. Sämtliche Schriften und Briefe. Darmstadt: O. Reichl, 1923–2013.

AT Descartes, René. Œuvres de Descartes. Edited by Charles Adam, and Paul Tannery. Paris: J. Vrin.

CC Comenius, Jan A. De rerum humanarum emendatione consultatio catholica: Ad genus humanum. Vol. 1: Panegersia, Panaugia, Pansophia. Edited by Otokar Chlup. Prague: Academia scientiarum Bohemoslovaka, 1992.

DC Comenius, Jan A. “Disquisitiones de caloris et frigoris natura.” In Dílo Jana Amose Komenského 12, 267–292. Prague: Academia, 1978.

DFS Leibniz, Gottfried W. Dialoghi filosofici e scientifici. Edited by Francesco Piro, Gianfranco Mormino, and Enrico Pasini. Milano: Bompiani, 2007.

G&M Leibniz, Gottfried W. “Appendix: Leibniz’s Writings.” In Geometry and Monadology: Leibniz’s Analysis Situs and Philosophy of Space, edited by Vincenzo de Risi, 579–629. Berlin: Birkhäuser, 2007.

GLW Leibniz, Gottfried W. Briefwechsel zwischen Leibniz und Christian Wolff. Ed. by Carl I. Gerhardt. Halle: H. W. Schmidt, 1860.

GM Leibniz, Gottfried W. Leibnizens Mathematische Schriften, edited by Carl I. Gerhardt. Halle: H. W. Schmidt, 1849–1863.

GP Leibniz, Gottfried W. Die philosophischen Schriften, edited by Carl I. Gerhardt. Berlin: Weidmann, 1875–1890.

Iz Isaiah. In Bible: New Revised Standard Version: Catholic Edition. https://www.biblegateway.com/

LC Leibniz, Gottfried W. and Samuel Clarke. Correspondance Leibniz-Clarke: Présentée d’après les manuscrits originaux des bibliothèques de Hanovre et de Londres, edited by André Robinet. Paris: Presses Universitaires de France, 1957.

LH Leibniz, Gottfried W. Die Handschriften der Königlichen Öffentlichen Bibliotek zu Hannover, edited by Eduard Bodemann. Hannover: Hahn’sche Buchhandlung, 1867.

LO Lochmanová, Kateřina (ed.). “Příloha č. 1: Překlad a transkripce rukopisu LH, 35,10,15.” In Analysis situs v kontextu Leibnizovy korespondence s Clarkem. Doctoral thesis, 306–315. University of Ostrava. Supervisor: Jan Čížek, 2021.

Mt. Aristotle. Meteorologica: With an English Translation by H.D.P. Lee. Edited by Henry Desmond Pritchard Lee. Cambridge: Harvard University Press, 1952. https://doi.org/10.4159/DLCL.aristotle-meteorlogica.1952

O Newton, Isaac. Optice: Sive De Reflexionibus, Refractionibus, Inflexionibus  Coloribus Lucis libri tres, edited by Samuel Clarke. London: Sam. Smith  Ben J. Walford, 1706.

P Leibniz, Gottfried W. Protogaea: Sive de prima facie telluris et antiquissimae historiae vestigiis in ipsis naturae monumentis dissertatio, edited by Claudine Cohen and André Wakefield. Chicago: University of Chicago Press, 2008. https://doi.org/10.7208/chicago/9780226112978.001.0001

PS Comenius, Jan A. “Physicae ad lumen divinu reformandae synopsis.” In Dílo Jana Amose Komenského 12, 71–264. Prague: Academia, 1978.

WC Clarke, Samuel. The Works of Samuel Clarke. Vol. 4. New York: Garland, 1978.

Translations

AG Leibniz, Gottfried Wilhelm. Philosophical Essays, edited by Roger Ariew and Daniel Garber. Cambridge: Hackett Publishing Company, 1989.

WFPT Leibniz, Gottfried Wilhelm. Philosophical Texts, edited by Roger Stuart Woolhouse. Oxford: Oxford University Press, 1998.

Secondary sources

Beiser, Arthur. Perspectives of Modern Physics. New York: McGraw-Hill, 1969.

Beringer, Carl Ch. Geschichte der Geologie und des Geologischen Weltbildes. Stuttgart: Ferdinand Enke Verlag, 1954. https://doi.org/10.1080/11035895409453548

Van Besouw, Jip. “The Wedge and the Vis Viva Controversy: How Concepts of Force Influenced the Practice of Early Eighteenth-Century Mechanics.” Archive for History of Exact Sciences, no. 71 (2017): 109–56. https://doi.org/10.1007/s00407-016-0182-3

Blatt, Frank J. Modern Physics. New York: McGraw-Hill, 1992.

Bouquiaux, Laurence. “Monads and Chaos: The Vitality of Leibnizʼs Philosophy.” Transl. by Thomas Epstein. Diogenes, no. 161 (1993): 87–105. https://doi.org/10.1177/039219219304116107

Clarke, Bruce. Energy Forms: Allegory and Science in the Era of Classical Thermodynamics. Ann Arbor: University of Michigan Press, 2001. https://doi.org/10.3998/mpub.16450

Daggett, Cara N. The Birth of Energy: Fossil Fuels, Thermodynamics & the Politics of Work. London: Duke University Press, 2019. https://doi.org/10.1515/9781478090007

Deparis Vincent, and Hilaire Legros. Voyage à l’intérieur de la Terre: De la géographie antique à la géophysique moderne: Une histoire des idées. Paris: CNRS Éditions, 2002.

Dolnick, Edward. The Clockwork Universe. New York: HarperCollins Publishers, 2011.

Dugas, René. Histoire de la mécanique. Neuchâtel: Éditions du Griffon, 1950.

Dugas, René. Mechanics in the Seventeenth Century. Neuchatel: Editions du Griffon, 1958.

Einstein, Albert. “Newton’s Mechanik und ihr Einfluß auf die Gestaltung der theoretischen Physik.” Die Naturwissenschaften, no. 15 (1927): 273–76. https://doi.org/10.1007/BF01506256

Fors, Hjalmar. The Limits of Matter: Chemistry, Mining Enlightenment. Chicago: University of Chicago Press, 2015. https://doi.org/10.7208/chicago/9780226195049.001.0001

Freudenthal, Gideon. “Perpetuum Mobile, The Leibniz–Papin Controversy.” Studies in History and Philosophy of Science 33 (2002), 573–637. https://doi.org/10.1016/S0039-3681(01)00040-1

Gaukroger, Stephen. The Collapse of Mechanism and the Rise of Sensibility: Science and the Shaping of Modernity, 1680–1760. Oxford: Clarendon Press, 2010. https://doi.org/10.1093/acprof:oso/9780199594931.001.0001

’S Gravesande, William. Essai d’une nouvelle théorie sur le choc des corps: Fondée sur l’experience. La Haye: T. Johnson, 1722.

Haldane, John S. Mechanism, Life and Personality: An Examination of the Mechanistic Theory of Life and Mind. London: John Murray, 1913. https://doi.org/10.5962/bhl.title.19254

Hassing, Richard. “Leibniz without Physics.” The Review of Metaphysics 56, no. 4 (2003): 721–61.

Huggett, Nicholas. “Motion in Leibnizʼs Physics and Metaphysics.” In True Motion, 2019 in print, https://philpapers.org/rec/HUGCL

Chambers, Ephraim. Cyclopaedia: Or, An Universal Dictionary of Arts and Sciences: Containing the Definitions of the Terms, and Accounts of the Things Signifyʼd thereby, in the Several Arts, Both Liberal and Mechanical, and the Several Sciences, Human and Divine: The Whole Intended as a Course of Antient and Modern Learning. London: James and John Knapton, 1728.

Iltys, Carolyn. “Leibniz and the Vis Viva Controversy.” Isis 62, no. 1 (1971): 21–35. https://doi.org/10.1086/350705

Iltys, Carolyn. “The Decline of Cartesianism in Mechanics.” Isis 64, no. 3 (1973): 356–73. https://doi.org/10.1086/351129

Iltys, Carolyn. “The Leibnizian-Newtonian Debates: Natural Philosophy and Social Psychology.” British Journal for the History of Science 6, no. 24 (1973): 343–77. https://doi.org/10.1017/S000708740001253X

Jauernig, Anja. “Leibniz on Motion and the Equivalence of Hypotheses.” The Leibniz Review, no. 18 (2008): 1–40. https://doi.org/10.5840/leibniz2008181

Jost, Jürgen. Leibniz und die moderne Naturwissenschaft. Berlin: Springer, 2019. https://doi.org/10.1007/978-3-662-59236-6

Kecskés, Arpád, Aba Teleki, and Ľubomír Zelenický. Jadrová fyzika. Nitra: Univerzita Konštantína Filozofa, 2001.

Khamara, Edward. Space, Time and Theology in the Leibniz-Newton Controversy. Frankfurt: Ontos Verlag, 2006. https://doi.org/10.1515/9783110328301

Klein, Ursula, and Wolfgang Lefèvre, Materials in Eighteenth-Century Science: A Historical Ontology. Cambridge, MA: MIT Press, 2007. https://doi.org/10.7551/mitpress/4474.001.0001

Krempaský, Július. Fyzika: Príručka pre vysoké školy technické. Prague: SNTL, 1987.

Laudan, Rachel. From Mineralogy to Geology: The Foundations of a Science 1650–1830. Chicago: University of Chicago Press, 1993.

Lawrenz, Jürgen. Leibniz: The Nature of Reality and the Reality of Nature: A Study of Leibniz’s Double-Aspect Ontology and the Labyrinth of the Continuum. Cambridge: Cambridge Scholars Publishing, 2010.

Loemker, Leroy. “Introduction: Leibniz as Philosopher.” In Philosophical Papers and Letters, edited by Leroy Loemker, 1–62. Chicago: University of Chicago Press, 1956.

Lochmanová, Kateřina. “Leibniz and The First Law of Thermodynamics.” Teorie vědy/Theory of Science 46, no. 1 (2024): 89–114. https://doi.org/10.46938/tv.2024.619

Mackie, John. Life of Godrey William von Leibnitz. Boston: Gould, Kendall & Lincoln, 1845.

Meli, Domenico Bertoloni. Equivalence and Priority: Newton versus Leibniz. Oxford: Clarendon Press, 1993. https://doi.org/10.1093/oso/9780198539452.001.0001

Meli, Domenico Bertoloni. Thinking with Objects: The Transformation of Mechanics in the Seventeenth Century. Baltimore: Johns Hopkins University Press, 2006. https://doi.org/10.1353/book.3275

Mercer, Christia. Leibnizʼs Metaphysics: Its Origins and Development. Cambridge: Cambridge University Press, 2021.

Michal, Stanislav. Perpetuum mobile včera a dnes. 2nd ed. Prague: SNTS, 1981.

Moreau, Joseph. L’Univers Leibnizien. Hildesheim: Georg Olms, 1987.

Moreau, Joseph. Svět Leibnizova myšlení. Transl. Martin Pokorný. Prague: Oikoymenh, 2000.

Oldroyd, David Roger. Earth Cycles: A Historical Perspective. Westport: Greenwood Press, 2006.

Papineau, David. “The Vis viva Controversy: Do Meanings Matter?” Studies in History and Philosophy of Science 8, no. 2 (1977): 111–42. https://doi.org/10.1016/0039-3681(77)90011-5

Pavlík, Ján. “Dekoherentismus: 4. (a poslední) revoluce ve fyzice ve XX. století.” E-Logos – Electronic Journal for Philosophy 11, no. 1 (2004): 1–88.

Pavlík, Ján. “Informace, Ontologie, Entropie.” E-Logos: Electronic Journal for Philosophy 11, no. 1 (2004): 1–22.

Pavlík, Ján. “Vis viva & vis mortua.” E-Logos: Electronic Journal for Philosophy 21, no. 1 (2009): 1–64.

Perl, Margula. “Physics and Metaphysics in Newton, Leibniz, and Clarke.” Journal of the History of Ideas 30, no. 4 (1969): 507–26. https://doi.org/10.2307/2708608

Rosenberg, Gary. “Introduction: The Revolution in Geology from the Renaissance to the Enlightenment.” In The Revolution in Geology from the Renaissance to the Enlightenment, edited by Gary Rosenberg, 1–11. Boulder: Geological Society of America, 2009. https://doi.org/10.1130/978-0-8137-1203-1-203.0.1

Ross, George M. “Leibniz and the Origin of Things.” In Leibniz and Adam, edited by Marcelo Dascal and Elhanan Yakira, 241–58. Tel Aviv: University Publishing Projects, 1993.

Rossi, Paolo. The Dark Abyss of Time. Chicago: University of Chicago Press, 1984.

Rovelli, Carlo. Lʼordine del tempo. Milano: Adelphi, 2017.

Saslow, Wayne. “A History of Thermodynamics: The Missing Manual.” Entropy 22, no. 77 (2020): 1–48. https://doi.org/10.3390/e22010077

Sousedík, Stanislav. “Shrnutí latinské Isagoge.” In Dílo Jana Amose Komenského 12, 218f., 286. Prague: Academia, 1978.

Stan, Marius. “Reflection: Perpetuum Mobiles and Eternity.” In: Eternity: A History, edited by Yitzhak Melamed, 173–78. New York: Oxford University Press, 2016. https://doi.org/10.1093/acprof:oso/9780199781874.003.0011

Tho Tzuchien. Vis, Vim, Vi: Declinations of Force in Leibnizʼs Dynamics. Cham: Springer, 2017. https://doi.org/10.1007/978-3-319-59055-4

Westfall, Richard. Force in Newtonʼs Physics: The Science of Dynamics in the Seventeenth Century. London: Macdonald, 1971.

Westfall, Richard. The Construction of Modern Science: Mechanisms and Mechanics. 2nd ed. Cambridge: Cambridge University Press, 1977.

Wilson, Mark. “What Iʼve Learned form the Early Moderns.” Synthese, no. 196 (2019): 3465–81. https://doi.org/10.1007/s11229-017-1361-8

Winchester, Simon. Exactly: How Precision Engineers Created the Modern World. London: William Collins, 2018.

Woolhouse, Roger. “Leibniz’s Collision Rules for Inertialess Bodies Indifferent to Motion.” History of Philosophy Quarterly 17, no. 2 (2000): 143–57.

Ziman, John. The Force of Knowledge. Cambridge: Cambridge University Press, 1976.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright (c) 2025 Kateřina Lochmanová

Downloads

Download data is not yet available.