The metaphysics of symmetries

My main aim in this paper is to lay out a metaphysical map of the possible metaphysical attitudes that philosophers may hold with respect to physical symmetries. Even though it is customary to distinguish between realism vs. anti-realism, I show that the metaphysical landscape looks a bit more complex. To show this, I differentiate at least nine different views that have been held, or might be held, concerning which place physical symmetries occupy in one’s ontology.

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Publication Details

Journal
THEORIA An International Journal for Theory History and Foundations of Science
Published
2025-08-15
DOI
https://doi.org/10.1387/theoria.27141
Primary Topic
History and Theory of Mathematics
Type
article
Field-Weighted Citation Impact
0.00

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article

The metaphysics of symmetries

Cristian López
THEORIA An International Journal for Theory History and Foundations of Science
History and Theory of Mathematics
article

The metaphysics of symmetries

Cristian López
article en

Abstract

My main aim in this paper is to lay out a metaphysical map of the possible metaphysical attitudes that philosophers may hold with respect to physical symmetries. Even though it is customary to distinguish between realism vs. anti-realism, I show that the metaphysical landscape looks a bit more complex. To show this, I differentiate at least nine different views that have been held, or might be held, concerning which place physical symmetries occupy in one’s ontology.

THEORIA An International Journal for Theory History and Foundations of Science
University of Lausanne (CH)
National Science Foundation, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Consejo Nacional de Investigaciones Científicas y Técnicas, Université de Lausanne
Openalex Percentile: Top 85%
History and Theory of Mathematics
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