Barrett, Thomas William and Manchak, JB (2024) What Do Privileged Coordinates Tell Us About Structure? [Preprint]

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Abstract

We examine whether the ‘privileged coordinates’ of a geometric space encode its ‘amount of structure.’ In doing so, we compare this coordinate approach to comparing amounts of structure to the more familiar auto- morphism approach. We first show that on a natural understanding of the former, it faces one of the same well known problems as the latter. We then capture a precise sense in which the two approaches are closely related to one another, and we conclude by discussing whether they might still prove useful in cases of philosophical interest, despite their shortcomings.

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Item Type:	Preprint
Creators:	Creators Email ORCID Barrett, Thomas William thomaswbarrett@ucsb.edu Manchak, JB jmanchak@uci.edu
Keywords:	coordinates, structure, symmetry
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory General Issues > Structure of Theories Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Thomas Barrett
Date Deposited:	03 Oct 2024 11:56
Last Modified:	03 Oct 2024 11:56
Item ID:	23996
Subjects:	Specific Sciences > Physics Specific Sciences > Physics > Relativity Theory General Issues > Structure of Theories Specific Sciences > Physics > Symmetries/Invariances
Date:	October 2024
URI:	https://philsci-archive.pitt.edu/id/eprint/23996

Available Versions of this Item

• What Do Privileged Coordinates Tell Us About Structure? (deposited 26 Jul 2024 13:34)
  • What Do Privileged Coordinates Tell Us About Structure? (deposited 03 Oct 2024 11:56) [Currently Displayed]

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