David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Philosophy of Science 76 (2):160-178 (2009)
This article explores the relation between the concept of symmetry and its formalisms. The standard view among philosophers and physicists is that symmetry is completely formalized by mathematical groups. For some mathematicians however, the groupoid is a competing and more general formalism. An analysis of symmetry that justifies this extension has not been adequately spelled out. After a brief explication of how groups, equivalence, and symmetries classes are related, we show that, while it’s true in some instances that groups are too restrictive, there are other instances for which the standard extension to groupoids is too un restrictive. The connection between groups and equivalence classes, when generalized to groupoids, suggests a middle ground between the two. *Received July 2007. †To contact the authors, please write to: Alexandre Guay, UFR Sciences et Techniques, Université de Bourgogne, 9 Avenue Alain Savary, 21078 Dijon Cedex, France; e‐mail: email@example.com ; or to Brian Hepburn, Department of Philosophy, University of British Columbia, 1866 Main Mall E370, Vancouver, BC, Canada V6T 1Z1; e‐mail: firstname.lastname@example.org.
|Keywords||No keywords specified (fix it)|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
David John Baker (2010). Symmetry and the Metaphysics of Physics. Philosophy Compass 5 (12):1157-1166.
Similar books and articles
Peter Kosso (2000). Fundamental and Accidental Symmetries. International Studies in the Philosophy of Science 14 (2):109 – 121.
P. Kosso (1999). Symmetry Arguments in Physics. Studies in History and Philosophy of Science Part A 30 (3):479-492.
Katherine A. Brading & Elena Castellani (eds.) (2003). Symmetries in Physics: Philosophical Reflections. Cambridge University Press.
P. Kosso (2000). The Empirical Status of Symmetries in Physics. British Journal for the Philosophy of Science 51 (1):81-98.
D. Corfield (2001). The Importance of Mathematical Conceptualisation. Studies in History and Philosophy of Science Part A 32 (3):507-533.
Alexandre Laforgue (1994). Les Brisures de Symetrie du Temps. Acta Biotheoretica 42 (1):105-117.
Alexandre Laforgue (1993). Les Brisures de Symetrie du Temps. Acta Biotheoretica 41 (1-2):105-117.
Added to index2009-01-28
Total downloads41 ( #47,605 of 1,413,361 )
Recent downloads (6 months)5 ( #41,815 of 1,413,361 )
How can I increase my downloads?