Sophistry about symmetries?

Synthese 199 (1-2):315-344 (2020)
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Abstract

A common adage runs that, given a theory manifesting symmetries, the syntax of that theory should be modified in order to construct a new theory, from which symmetry-variant structure of the original theory has been excised. Call this strategy for explicating the underlying ontology of symmetry-related models reduction. Recently, Dewar has proposed an alternative to reduction as a means of articulating the ontology of symmetry-related models—what he calls sophistication, in which the semantics of the original theory is modified, and symmetry-related models of that theory are treated as if they are isomorphic. In this paper, we undertake a critical evaluation of sophistication about symmetries—we find the programme underdeveloped in a number of regards. In addition, we clarify the interplay between sophistication about symmetries, and a separate debate to which Dewar has contributed—viz., that between interpretational versus motivational approaches to symmetry transformations.

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Author Profiles

James Read
Oxford University
Niels C. M. Martens
University of Bonn

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Machian Comparativism about Mass.Niels C. M. Martens - 2022 - British Journal for the Philosophy of Science 73 (2):325-349.

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