Library Header Image
LSE Research Online LSE Library Services

Regarding 'Leibniz Equivalence'

Roberts, Bryan W. ORCID: 0000-0003-0548-1280 (2020) Regarding 'Leibniz Equivalence'. Foundations of Physics, 50 (4). 250 - 269. ISSN 0015-9018

[img] Text (Regarding Leibniz Equivalence) - Published Version
Available under License Creative Commons Attribution.

Download (983kB)

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


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:
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: 13 Jun 2024 19:39

Actions (login required)

View Item View Item


Downloads per month over past year

View more statistics