Spencer-Brown, Luhmann and Klein on Symmetry

Author:

Guy Jean-Sébastien1

Affiliation:

1. Dalhousie University Department of Sociology and Social Anthropology Halifax Canada

Abstract

Abstract This article discusses the concept of symmetry as Felix Klein developed it in his works on geometry as a measure of invariance. The objective is to generalize from Klein’s model and principles to be able to apply the concept of symmetry to the study of social structures or social formations in sociology. To achieve this goal, the article goes on to consider how the concept of symmetry bears on the Laws of Form of George Spencer-Brown and on Niklas Luhmann’s theory of functional differentiation. Both of them are reinterpreted in terms of symmetry breaking.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Reference42 articles.

1. Aczel, Amir D. (2009): Nicolas Bourbaki, histoire d’un génie des mathématiques qui n’a jamais existé. Paris: JC Lattès.

2. Barbosa de Almeida, Mauro W. (1990): Symmetry and Entropy: Mathematical Structures in the Works of Lévi-Strauss. Current Anthropology 31, 367–385.

3. Baecker, Dirk (ed.) (1999): Problems of Form. Stanford: Stanford University Press.

4. Baecker, Dirk (2005): Form und Formen der Kommunikation. Frankfurt a.M.: Suhrkamp.

5. Birkhoff, Garrett/Bennett, M. K. (1988): Felix Klein and his “Erlanger Programm”, in: William Aspray/Philip Kitcher (eds.), Minnesota Studies in the Philosophy of Science, Vol. XI: History and Philosophy of Modern Mathematics. Minneapolis: University of Minnesota Press, 145–176.

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