Magician Systems and Abstract Algebras

Part of the IFSR International Series on Systems Science and Engineering book series (IFSR, volume 11)


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.


Random Graph Universal Algebra Multiplication Table Dynamical System Theory Abstract Algebra 
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© Plenum Press, New York 1997

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