Regarding ‘Leibniz Equivalence’

Foundations of Physics 50 (4):250-269 (2020)
  Copy   BIBTEX

Abstract

Leibniz Equivalence is a principle of applied mathematics that is widely assumed in both general relativity textbooks and in the philosophical literature on Einstein’s hole argument. In this article, I clarify an ambiguity in the statement of this Leibniz Equivalence, and argue that the relevant expression of it for the hole argument is strictly false. I then show that the hole argument still succeeds as a refutation of manifold substantivalism; however, recent proposals that the hole argument is undermined by principles of representational equivalence do not fare so well.

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 101,601

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Some Philosophical Prehistory of the (Earman-Norton) hole argument.James Owen Weatherall - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 70:79-87.
Regarding the ‘Hole Argument’.James Owen Weatherall - 2016 - British Journal for the Philosophy of Science:axw012.
Regarding the ‘Hole Argument’.James Owen Weatherall - 2018 - British Journal for the Philosophy of Science 69 (2):329-350.
The Hole Argument in Homotopy Type Theory.James Ladyman & Stuart Presnell - 2020 - Foundations of Physics 50 (4):319-329.
Einstein's hole argument.Alan Macdonald - 2001 - American Journal of Physics 69:223-225.
The Hole Argument, Manifold Substantivalism, and Ontic Structural Realism.Saeed Masoumi - 2021 - Journal of Philosophical Investigations 15 (35):379-401.

Analytics

Added to PP
2020-01-28

Downloads
50 (#445,273)

6 months
8 (#636,535)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Bryan W. Roberts
London School of Economics

References found in this work

The Shaky Game: Einstein, Realism, and the Quantum Theory.Arthur Fine - 1986 - Chicago: University of Chicago Press.
Interpreting Quantum Theories: The Art of the Possible.Laura Ruetsche - 2011 - Oxford, GB: Oxford University Press UK.
The unreasonable effectiveness of mathematics in the natural sciences.Eugene Wigner - 1960 - Communications in Pure and Applied Mathematics 13:1-14.
Wandering Significance: An Essay on Conceptual Behavior.Mark Wilson - 2006 - Oxford, GB: Oxford: Clarendon Press.

View all 21 references / Add more references