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What Do Symmetries Tell Us About Structure?

Barrett, Thomas William (2017) What Do Symmetries Tell Us About Structure? [Preprint]

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Abstract

Mathematicians, physicists, and philosophers of physics often look to the symmetries of an object for insight into the structure or constitution of the object. My aim in this paper is to explain why this practice is successful. In order to do so, I prove two theorems that are closely related to (and in a sense, generalizations of) Beth's and Svenonius' theorems.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Barrett, Thomas Williamthomaswbarrett@nyu.edu
Keywords: symmetry, structure, definability, equivalence
Subjects: Specific Sciences > Mathematics > Logic
General Issues > Structure of Theories
Specific Sciences > Physics > Symmetries/Invariances
Depositing User: Thomas Barrett
Date Deposited: 27 Sep 2017 14:20
Last Modified: 27 Sep 2017 16:52
Item ID: 13487
Subjects: Specific Sciences > Mathematics > Logic
General Issues > Structure of Theories
Specific Sciences > Physics > Symmetries/Invariances
Date: September 2017
URI: https://philsci-archive.pitt.edu/id/eprint/13487

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