Philosophy of Science 59 (4):572-589 (1992)

Authors
Robert Rynasiewicz
Johns Hopkins University
Abstract
In a number of publications, John Earman has advocated a tertium quid to the usual dichotomy between substantivalism and relationism concerning the nature of spacetime. The idea is that the structure common to the members of an equivalence class of substantival models is captured by a Leibniz algebra which can then be taken to directly characterize the intrinsic reality only indirectly represented by the substantival models. An alleged virtue of this is that, while a substantival interpretation of spacetime theories falls prey to radical local indeterminism, the Leibniz algebras do not. I argue that the program of Leibniz algebras is subject to radical local indeterminism to the same extent as substantivalism. In fact, for the category of topological spaces of interest in spacetime physics, the program is equivalent to the original spacetime approach. Moreover, the motivation for the program--that isomorphic substantival models should be regarded as representing the same physical situation--is misguided
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DOI 10.1086/289696
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References found in this work BETA

What Price Spacetime Substantivalism? The Hole Story.John Earman & John Norton - 1987 - British Journal for the Philosophy of Science 38 (4):515-525.
The Identity of Indiscernibles.Ian Hacking - 1975 - Journal of Philosophy 72 (9):249-256.
The Inscrutability of Reference.Donald Davidson - 1979 - Southwestern Journal of Philosophy 10 (2):7-19.
The Lessons of the Hole Argument.Robert Rynasiewicz - 1994 - British Journal for the Philosophy of Science 45 (2):407-436.

View all 7 references / Add more references

Citations of this work BETA

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Regarding the ‘Hole Argument’.James Owen Weatherall - 2016 - British Journal for the Philosophy of Science:axw012.
Equivalent and Inequivalent Formulations of Classical Mechanics.Thomas William Barrett - 2019 - British Journal for the Philosophy of Science 70 (4):1167-1199.

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