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Regarding 'Leibniz Equivalence'

Roberts, Bryan W. (2020) Regarding 'Leibniz Equivalence'. Foundations of Physics. ISSN 0015-9018

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Identification Number: 10.1007/s10701-020-00325-9

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.

Item Type: Article
Official URL: https://link.springer.com/journal/10701
Additional Information: © 2020 The Author
Divisions: Philosophy, Logic and Scientific Method
Subjects: Q Science > QC Physics
B Philosophy. Psychology. Religion > B Philosophy (General)
Date Deposited: 20 Jan 2020 13:42
Last Modified: 29 Mar 2020 00:10
URI: http://eprints.lse.ac.uk/id/eprint/103131

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