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How to Defeat Wüthrich's Abysmal Embarrassment Argument against Space-Time Structuralism

Published online by Cambridge University Press:  01 January 2022

F. A. Muller
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Abstract

In his award-winning contribution to the biannual PSA conference at Pittsburgh in 2008, Christian Wüthrich mounted an argument against structuralism about space-time in the context of the general theory of relativity (GTR), to the effect that structuralists cannot discern space-time points: an “abysmal embarrassment” for the structuralist, Wüthrich judged. Wüthrich's characterization of space-time structuralism is however incorrect. We demonstrate how, on the basis of a correct characterization of space-time structuralism, it is possible to discern space-time points in the GTR structures under consideration. Thus Wüthrich's argument crumbles.

Type
Research Article
Information
Philosophy of Science , Volume 78 , Issue 5 , December 2011 , pp. 1046 - 1057
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

‡

My gratitude to Chris Wüthrich for valuable communication by e-mail.

References

Earman, J. 1989. World Enough and Space-Time: Absolute versus Relational Theories about Space and Time. Cambridge, MA: MIT Press.Google Scholar
Keränen, J. 2001. “The Identity Problem for Realist Structuralism.” Philosophia Mathematica 9 (3): 308–30.CrossRefGoogle Scholar
McCabe, G. 2004. “The Structure and Interpretation of Cosmology.” Pt. 1, “General Relativistic Cosmology.” Studies in the History and Philosophy of Modern Physics 35 (4): 549–95.CrossRefGoogle Scholar
Muller, F. A. 2011. “Space-Time Structuralism.” Unpublished manuscript, Faculty of Philosophy, Erasmus University Rotterdam.Google Scholar
Muller, F. A., and Saunders, S. W.. 2008. “Discerning Fermions.” British Journal for the Philosophy of Science 59:499–548.CrossRefGoogle Scholar
Saunders, S. W. 2003. “Physics and Leibniz's Principles.” In Symmetries in Physics: Philosophical Reflections, ed. Brading, K. and Castellani, E., 289–307. Cambridge: Cambridge University Press.Google Scholar
Weinberg, S. 1972. Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. New York: Wiley.Google Scholar
Weinberg, S.. 2008. Cosmology. Oxford: Oxford University Press.Google Scholar
Wüthrich, C. 2010. “Challenging the Spacetime Structuralist.” Philosophy of Science 76 (Proceedings): 1039–51.Google Scholar