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On the Cartesian Ontology of General Relativity: Or, Conventionalism in the History of the Substantival-Relational Debate

Published online by Cambridge University Press:  01 January 2022

Abstract

Using Einstein's comparison of General Relativity and Descartes’ physics, this investigation explores the alleged conventionalism that pervades the ontology of substantival and relationist conceptions of spacetime. Although previously discussed, namely by Rynasiewicz and Hoefer, it will be argued that the close similarities between General Relativity and Cartesian physics have not been adequately treated in the literature—and that the disclosure of these similarities bolsters the case for a conventionalist interpretation of spacetime ontology.

Type
General Relativity
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

I would like to thank Carl Hoefer, Robert Rynasiewicz, and John Norton for helpful comments and suggestions in the development of this essay.

References

Barbour, J. (1999), The End of Time. Oxford: Oxford University Press.Google Scholar
Descartes, R. ([1644–47] 1983), Principles of Philosophy. Translated by Miller, V. R. and Miller, R. P.. Dordrecht: Kluwer.Google Scholar
Earman, J. (1989), World Enough and Space-Time. Cambridge, MA: MIT Press.Google Scholar
Earman, J., and Norton, J. (1987), “What Price Spacetime Substantivalism? The Hole Story”, What Price Spacetime Substantivalism? The Hole Story 38:515525.Google Scholar
Einstein, A. ([1952] 1961), “Relativity and the Problem of Space”, in Relativity: The Special and the General Theory. New York: Crown.Google Scholar
Hoefer, C. (1996), “The Metaphysics of Space-Time Substantivalism”, The Metaphysics of Space-Time Substantivalism 93:527.Google Scholar
Hoefer, C. (1998), “Absolute versus Relational Spacetime: For Better or Worse, the Debate Goes On”, Absolute versus Relational Spacetime: For Better or Worse, the Debate Goes On 49:451467.Google Scholar
Hoefer, C. (2000), “Energy Conservation in GTR”, Energy Conservation in GTR 31:187199.Google Scholar
Huygens, C. (1950), Oeuvres complètes. La Haye: Société Hollandaise des Sciences.Google Scholar
Leibniz, G. W. ([1690] 1962), Leibnizens Mathematische Schriften. Edited by C. I. Gerhardt. Hildesheim: Olms.Google Scholar
Leibniz, G. W. ([1686] 1989), Leibniz: Philosophical Essays. Translated and edited by R. Ariew and D. Garber. Indianapolis: Hackett.Google Scholar
Mach, E. ([1883] 1942), The Science of Mechanics, 9th ed. London: Open Court.Google Scholar
Newton, I. (1962), “De Gravitatione et Aequipondio Fluidorum”, in Unpublished Scientific Papers of Isaac Newton. Translated and edited by A. R. Hall and M. B. Hall. Cambridge: Cambridge University Press.Google Scholar
Newton, I. ([1687] 1999), The Principia: Mathematical Principles of Natural Philosophy. Translated by Cohen, I. B. and Whitman, A.. Berkeley: University of California Press.Google Scholar
Rynasiewicz, R. (1995), “By Their Properties, Causes, and Effects: Newton’s Scholium on Time, Space, Place, and Motion,” parts I and II, Studies in History and Philosophy of Science 26:133153; 295–321.CrossRefGoogle Scholar
Rynasiewicz, R. (1996), “Absolute versus Relational Space-Time: An Outmoded Debate?”, Absolute versus Relational Space-Time: An Outmoded Debate? 93:279306.Google Scholar
Rynasiewicz, R. (2000), “On the Distinction between Absolute and Relative Motion”, On the Distinction between Absolute and Relative Motion 67:7093.Google Scholar
Sklar, L. (1974), Space, Time, and Spacetime. Berkeley: University of California Press.Google Scholar
Slowik, E. (1999), “Descartes, Space-Time, and Relational Motion”, Descartes, Space-Time, and Relational Motion 66:117139.Google Scholar
Slowik, E. (2002), Cartesian Spacetime. Dordrecht: Kluwer.CrossRefGoogle Scholar
Snelders, H. A. M. (1980), “Christiaan Huygens and the Concepts of Matter”, in Bos, H. J. M. et al. (eds.), Studies on Christiaan Huygens. Linse: Swetz & Zeitlinger, 104125.Google Scholar
Stein, H. (1967), “Newtonian Space-Time”, Newtonian Space-Time 10:174200.Google Scholar