On Dualities and Equivalences Between Physical Theories

In Christian Wüthrich, Baptiste Le Bihan & Nick Huggett (eds.), Philosophy Beyond Spacetime. Oxford: Oxford University Press (forthcoming)
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Abstract

The main aim of this paper is to make a remark about the relation between dualities between theories, as `duality' is understood in physics and equivalence of theories, as `equivalence' is understood in logic and philosophy. The remark is that in physics, two theories can be dual, and accordingly get called `the same theory', though we interpret them as disagreeing---so that they are certainly not equivalent, as `equivalent' is normally understood. So the remark is simple: but, I shall argue, worth stressing---since often neglected. My argument for this is based on the account of duality developed by De Haro: which is illustrated here with several examples, from both elementary physics and string theory. Thus I argue that in some examples, including in string theory, two dual theories disagree in their claims about the world. I also spell out how this remark implies a limitation of proposals to understand theoretical equivalence as either logical equivalence or a weakening of it.

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Jeremy Butterfield
Cambridge University

Citations of this work

What Theoretical Equivalence Could Not Be.Trevor Teitel - 2021 - Philosophical Studies 178 (12):4119-4149.
Motivating dualities.James Read & Thomas Møller-Nielsen - 2020 - Synthese 197 (1):263-291.
String Theory, Loop Quantum Gravity and Eternalism.Baptiste Le Bihan - 2020 - European Journal for Philosophy of Science 10:17.
Sophistry about symmetries?Niels C. M. Martens & James Read - 2020 - Synthese 199 (1-2):315-344.

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Two Dogmas of Empiricism.W. Quine - 1951 - [Longmans, Green].
Laws and symmetry.Bas C. van Fraassen - 1989 - New York: Oxford University Press.
General semantics.David K. Lewis - 1970 - Synthese 22 (1-2):18--67.
Two Dogmas of Empiricism.W. V. O. Quine - 1951 - In Robert B. Talisse & Scott F. Aikin (eds.), The Pragmatism Reader: From Peirce Through the Present. Princeton University Press. pp. 202-220.

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