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Geometry and Special Relativity

Published online by Cambridge University Press:  01 April 2022

Geoffrey Joseph*
Affiliation:
University of Wisconsin-Madison

Abstract

The issue of the conventionality of geometry is considered in the light of the special theory of relativity. The consequences of Minkowski's insights into the ontology of special relativity are elaborated. Several logically distinct senses of “conventionalism” and “realism” are distinguished, and it is argued that the special theory vindicates some of these possible positions but not others. The significance of the usual distinction between relativity and conventionality is discussed. Finally, it is argued that even though the spatial metric within an inertial reference frame is euclidean, it is impossible to define unique objects which can serve as the relativistic surrogates of the spatial points of classical geometry.

Type
Research Article
Copyright
Copyright © Philosophy of Science Association 1979

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References

Bergmann, P. (1942), Introduction to the Theory of Relativity. Englewood Cliffs: Prentice Hall.Google Scholar
Earman, J. (1970), “Are Spatial and Temporal Congruence Conventional?”. General Relativity and Gravitation I, 2: p. 143157.CrossRefGoogle Scholar
Grünbaum, A. (1973), Philosophical Problems of Space and Time. Boston: Reidel.CrossRefGoogle Scholar
Joseph, G. (1977), “Conventionalism and Physical Holism.The Journal of Philosophy 74, 8: p. 439462.CrossRefGoogle Scholar
Landau, L. and Lifshitz, E. (1971), The Classical Theory of Fields. Oxford: Pergamon Press.Google Scholar
Leibniz (1963), Fifth Paper, sec. 54, in The Leibniz-Clarke Correspondence. Edited by Alexander, H. G. Manchester: Manchester University Press.Google Scholar
Minkowski, H. (1952), “Space and Time,” in The Principle of Relativity, Sommerfeld, A. (ed.), New York: Dover.Google Scholar
Reichenbach, H. (1956), The Philosophy of Space and Time. New York: Dover.Google Scholar