What Do Symmetries Tell Us About Structure?

Philosophy of Science (4):617-639 (2017)
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Mathematicians, physicists, and philosophers of physics often look to the symmetries of an object for insight into the structure and constitution of the object. My aim in this paper is to explain why this practice is successful. In order to do so, I present a collection of results that are closely related to (and in a sense, generalizations of) Beth’s and Svenonius’ theorems.
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Glymour and Quine on Theoretical Equivalence.Barrett, Thomas William & Halvorson, Hans

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