Vassallo, Antonio (2025) Shape space as a conceptual space. [Preprint]
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Abstract
The notion of shape space was introduced in the second half of the 20th Century as a useful analytical tool for tackling problems related to the intrinsic spatial configuration of material systems. In recent years, the geometrical properties of shape spaces have been investigated and exploited to construct a totally relational description of physics (classical, relativistic, and quantum). The main aim of this relational framework - originally championed by Julian Barbour and Bruno Bertotti - is to cast the dynamical description of material systems in dimensionless and scale-invariant terms only. As such, the Barbour-Bertotti approach to dynamics represents the technical implementation of the famous Leibnizian arguments against the reality of space and time as genuine substances. The question then arises about the status of shape space itself in this picture: Is it an actual physical space in which the fundamental relational dynamics unfolds, or is it just a useful mathematical construction? The present paper argues for the latter answer and, in doing so, explores the possibility that shape space is a peculiar case of a conceptual space.
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| Item Type: | Preprint | ||||||
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| Additional Information: | Forthcoming in Synthese | ||||||
| Keywords: | Shape space; conceptual space; Leibnizian/Machian relationalism; pure shape dynamics. | ||||||
| Subjects: | General Issues > Scientific Metaphysics Specific Sciences > Cognitive Science > Concepts and Representations Specific Sciences > Physics |
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| Depositing User: | Antonio Vassallo | ||||||
| Date Deposited: | 14 May 2025 12:14 | ||||||
| Last Modified: | 14 May 2025 12:14 | ||||||
| Item ID: | 25296 | ||||||
| DOI or Unique Handle: | 10.1007/s11229-025-05040-4 | ||||||
| Subjects: | General Issues > Scientific Metaphysics Specific Sciences > Cognitive Science > Concepts and Representations Specific Sciences > Physics |
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| Date: | 2025 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/25296 |
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