Abstract
Abstract
Theoretical equivalence and duality are two closely related notions: but their interconnection has so far not been well understood. In this paper I explicate the contribution of a recent schema for duality to discussions of theoretical equivalence. I argue that duality suggests a construal of theoretical equivalence in the physical sciences. The construal is in terms of the isomorphism of models, as defined by the schema. This construal gives interpretative constraints that should be useful for discussions of theoretical equivalence more generally. I illustrate the construal in various formulations of Maxwell’s electromagnetic theory.
Funder
Trinity College, University of Cambridge
Publisher
Springer Science and Business Media LLC
Subject
General Social Sciences,Philosophy
Reference65 articles.
1. Arnold, V. I. (1989). Mathematical methods of classical mechanics (2nd ed.). Berlin: Springer.
2. Barrett, T. W. (2018). Equivalent and inequivalent formulations of classical mechanics. The British Journal for the Philosophy of Science (forthcoming).
3. Barrett, T. W., & Halvorson, H. (2016). Glymour and Quine on theoretical equivalence. Journal of Philosophical Logic, 45(5), 467–483.
4. Belot, G. (1995). Determinism and ontology. International Studies in the Philosophy of Science, 9(1), 85–101.
5. Butterfield, J. (2018). On dualities and equivalences between physical theories. In N. Huggett & C. Wüthrich (Eds.), Space and time after quantum gravity (forthcoming).
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