Magician Systems and Abstract Algebras
Many systems theorists have stressed the “reflexive,” “autopoietic” or “self-producing” nature of complex systems (Varela, 1978; Kampis, 1991; Goertzel, 1994; Palmer, 1994). This literature is intriguing and inspiring, and contains many detailed mathematical investigations. On the whole, though, a really useful mathematical model of the concept of reflexive self-production has never emerged. Varela’s (1978) “Brownian Logic” may be considered a candidate for this role, as may be Kampis’s “component-systems theory.” But these theories are more conceptual than operational; they are not easily applied to obtain useful answers to specific questions about specific complex systems.
KeywordsRandom Graph Universal Algebra Multiplication Table Dynamical System Theory Abstract Algebra
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