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Moderate structural realism about space-time

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Abstract

This paper sets out a moderate version of metaphysical structural realism that stands in contrast to both the epistemic structural realism of Worrall and the—radical—ontic structural realism of French and Ladyman. According to moderate structural realism, objects and relations (structure) are on the same ontological footing, with the objects being characterized only by the relations in which they stand. We show how this position fares well as regards philosophical arguments, avoiding the objections against the other two versions of structural realism. In particular, we set out how this position can be applied to space-time, providing for a convincing understanding of space-time points in the standard tensor formulation of general relativity as well as in the fibre bundle formulation.

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References

  • Adams R.M. (1979). Primitive thisness and primitive identity. Journal of Philosophy 76, 5–26

    Article  Google Scholar 

  • Auyang S.Y. (1995). How is quantum field theory possible? Oxford University Press, New York

    Google Scholar 

  • Baez J., Munian J.P. (1994). Gauge fields, knots and gravity. World Scientific, Singapore

    Google Scholar 

  • Belot G., Earman J. (2001). Presocratic quantum gravity. In: Callender C., Huggett N. (eds). Physics meets philosophy at the Planck scale. Cambridge University Press, Cambridge, pp. 213–255

    Google Scholar 

  • Bergmann P.G., Komar A. (1960). Poisson brackets between locally defined observables in general relativity. Physical Review Letters 4, 432–433

    Article  Google Scholar 

  • Brighouse, C. (1994). Spacetime and holes. In D. Hull, M. Forbes, & R. M. Burian (Eds.), PSA 1994. Proceedings of the 1994 biennial meeting of the philosophy of science association (Vol. 1, pp. 117–125). East Lansing: Philosophy of Science Association.

  • Busch J. (2003). What structures could not be. International Studies in the Philosophy of Science 17, 211–223

    Article  Google Scholar 

  • Butterfield J., Isham C. (2001). Spacetime and the philosophical challenge of quantum gravity. In: Callender C., Huggett N. (eds). Physics meets philosophy at the Planck scale. Cambridge University Press, Cambridge, pp. 33–89

    Google Scholar 

  • Cao T.Y. (2003a). Structural realism and the interpretation of quantum field theory. Synthese 136, 3–24

    Article  Google Scholar 

  • Cao T.Y. (2003b). Can we dissolve physical entities into mathematical structure? Synthese 136, 51–71

    Google Scholar 

  • Chakravartty A. (2003). The structuralist conception of objects. Philosophy of Science 70, 867–878

    Article  Google Scholar 

  • Chakravartty A. (2004). Structuralism as a form of scientific realism. International Studies in the Philosophy of Science 18, 151–171

    Article  Google Scholar 

  • Demopoulos W., Friedman M. (1985). Critical notice: Bertrand Russell’s the analysis of matter: Its historical context and contemporary interest. Philosophy of Science 52, 621–639

    Article  Google Scholar 

  • Dipert R.R. (1997). The mathematical structure of the world: The world as a graph. Journal of Philosophy 94, 329–358

    Article  Google Scholar 

  • Dorato M. (2000). Substantivalism, relationism, and structural spacetime realism. Foundations of Physics 30, 1605–1628

    Article  Google Scholar 

  • Dorato, M., & Pauri, M. (2005). Holism and structuralism in classical and quantum general relativity (forthcoming). In S. French, D. Rickles, & J. Saatsi (Eds.), Structural foundations of quantum gravity, Oxford: Oxford University Press. http://philsci-archive.pitt.edu/archive/00001606/

  • Earman J. (2006). Two challenges to the requirement of substantive general covariance. Synthese 148, 443–468

    Article  Google Scholar 

  • Earman J., Norton J. (1987). What price spacetime substantivalism? The hole story. British Journal for the Philosophy of Science 38, 515–525

    Article  Google Scholar 

  • Esfeld M. (2004). Quantum entanglement and a metaphysics of relations. Studies in History and Philosophy of Modern Physics 35B, 601–617

    Article  Google Scholar 

  • French S., Ladyman J. (2003). Remodelling structural realism: Quantum physics and the metaphysics of structure. Synthese 136, 31–56

    Article  Google Scholar 

  • French S., Redhead M.L.G. (1988). Quantum physics and the identity of indiscernibles. British Journal for the Philosophy of Science 39, 233–246

    Article  Google Scholar 

  • Heller M. (1992). Theoretical foundations of cosmology. World Scientific, Singapore

    Google Scholar 

  • Hoefer C. (1996). The metaphysics of space-time substantivalism. Journal of Philosophy 93, 5–27

    Article  Google Scholar 

  • Jackson F. (1998). From metaphysics to ethics. A defence of conceptual analysis. Oxford University Press, Oxford

    Google Scholar 

  • Ladyman J. (1998). What is structural realism? Studies in History and Philosophy of Modern Science 29, 409–424

    Article  Google Scholar 

  • Langton R. (1998). Kantian humility. Our ignorance of things in themselves. Oxford University Press, Oxford

    Google Scholar 

  • Langton R., Lewis D. (1998). Defining ‘intrinsic’. Philosophy and Phenomenological Research 58, 333–345

    Article  Google Scholar 

  • Lewis D. (1986). Philosophical papers (Vol. 2). Oxford University Press, Oxford

    Google Scholar 

  • Lewis D. (2001). Redefining ‘intrinsic’. Philosophy and Phenomenological Research 63, 381–398

    Google Scholar 

  • Lusanna, L., & Pauri, M. (2005). General covariance and the objectivity of space-time point-events, Invited Contribution to the ESF 2004 Oxford Conference on Space-Time, arXiv: gr-qc/0503069.

  • Pooley O. (2005). Points, particles, and structural realism (forthcoming). In: French S., Rickles D., Saatsi J. (eds). Structural foundations of quantum gravity. Oxford University Press, Oxford

    Google Scholar 

  • Psillos, S. (2004). The structure, the whole structure and nothing but the structure (forthcoming). In Philosophy of Science. Proceedings of the 2004 biennial meeting of the Philosophy of Science Association, ttp://philsci-archive.pitt.edu/archive/00002068/

  • Quine W.V.O. (1951). Two dogmas of empiricism. Philosophical Review 60, 20–43

    Article  Google Scholar 

  • Rovelli C. (2004). Quantum gravity. Cambridge University Press, Cambridge

    Google Scholar 

  • Slowik E. (2005). Spacetime, ontology, and structural realism. International Studies in the Philosophy of Science 19, 147–166

    Article  Google Scholar 

  • Stachel J. (1986). What a physicist can learn from the discovery of general relativity. In: Ruffini R. (eds). Proceedings of the fourth Marcel Grossmann meeting on general relativity. Elsevier, Amsterdam, pp. 1857–1862

    Google Scholar 

  • Stachel J. (1993). The meaning of general covariance. The hole story. In: Earman J., Janis I., Massey G.J., Rescher N. (eds). Philosophical problems of the internal and external worlds. Essays on the philosophy of Adolf Gruenbaum. University of Pittsburgh Press, Pittsburgh, pp. 129–160

    Google Scholar 

  • Stachel, J. (2002). ‘The relations between things’ versus ‘The things between relations’: The deeper meaning of the hole argument. In D. B. Malament (Ed.), Reading natural philosophy. Essays in the history and philosophy of science and mathematics (pp. 231–266). Chicago: Open Court.

  • Stachel, J., & Iftime, M. (2005). Fibered manifolds, natural bundles, structured sets, G-spaces and all that: The hole story from space-time to elementary particles, preprint, arXiv: gr-qc/0505138, to appear in J. Stachel, Going Critical. Vol. 2. The practice of relativity. Dordercht: Kluwer.

  • Synge, J. L. (1960). Relativity: The general theory. North Holland: Amsterdam.

  • Trautman A. (1980). Fibre bundles, gauge fields, and gravitation. In: Held A. (eds). General relativity and gravitation: One hundred years after the birth of Albert Einstein. Plenum, New York, pp. 287–308

    Google Scholar 

  • Wald R.M. (1984). General relativity. University of Chicago Press, Chicago

    Google Scholar 

  • van Fraassen B.C. (1997). Structure and perspective: Philosophical perplexity and paradox. In: Dalla Chiara M.L. (eds). Logic and scientific methods. Kluwer, Dordrecht, pp. 511–530

    Google Scholar 

  • Worrall, J. (1989). Structural realism: The best of two worlds? Dialectica, 43, 99–124. Reprinted in D. Papineau (ed.): 1996, The philosophy of science (pp. 139–165). Oxford: Oxford University Press.

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Correspondence to Michael Esfeld.

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Esfeld, M., Lam, V. Moderate structural realism about space-time. Synthese 160, 27–46 (2008). https://doi.org/10.1007/s11229-006-9076-2

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