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Space is the Place: The Laws of Form and Social Systems

Catholic University, Leuven, Michael.Schiltz{at}arts.kuleuven.be

It is well known that Niklas Luhmann’s theory of social systems is grounded in Spencer-Brown’s seminal Laws of Form (LoF) or ‘calculus of indications’. It is also known that the reception of the latter has been rather problematic. This article attempts to describe the construction of LoF, and confront it with Niklas Luhmann’s ontological and epistemological premises. I show how LoF must be considered a protologic, or research into the fundamentals of logical systems. The clue to its understanding is to be found in its profoundly topological conception of common mathematics and (Boolean) algebra. Both are explained as direct offspring of their planar orientation. Self-reference is a justified instance of an extended, more intricate topological arrangement. Its consequences for ontology (non-identity) and epistemology (autology), I argue, have been adopted correctly by Niklas Luhmann. Separate sections are devoted to how Spencer-Brown’s notion of re-entry relates to Luhmann’s definition of system/environment, and to a comparison between Luhmann’s and Parsons’ functionalism.

Key Words: epistemology • Niklas Luhmann • self-reference • social systems • George Spencer-Brown

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Thesis Eleven, Vol. 88, No. 1, 8-30 (2007)
DOI: 10.1177/0725513607072452


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This Article Abstract Free Full Text (Free PDF) Free Alert me when this article is cited Alert me if a correction is posted Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Add to Saved Citations Download to citation manager Request Permissions Request Reprints Add to My Marked Citations Citing Articles Citing Articles via Google Scholar Citing Articles via Scopus Google Scholar Articles by Schiltz, M. Search for Related Content Social Bookmarking                         What's this?