Regarding ‘Leibniz Equivalence’

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

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Bryan W. Roberts
London School of Economics

References found in this work

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

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