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Openness and Closure in Pattern Language

Geometry versus Resonance (Part #1)

Pattern of ways of knowing
Fruitful "marriage" of modes
Focus on the brightest "stars" and stellar evolution
Closure, openness and complementarity
Decisive illusion and cyclic engagement

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Pattern of ways of knowing

This forms part of a more general discussion, where relevant references are located (Way Round Cognitive Ground Zero and Pointlessness: embodying the geometry of fundamental cognitive dynamics, 2012; see alternative table of contents). Such considerations offer the tantalizing implication that the very "organization of knowledge", through distinguishing "disciplines", may come to be understood as a complex pattern of "ways of knowing" -- beyond the relatively arbitrary "objective" clustering of the library sciences or of the academic professions.

This was the assumption underlying the experimental Functional Classification in an Integrative Matrix of Human Preoccupations (1982) used to order the Encyclopedia of World Problems and Human Potential. Given its claim to be the discipline with most insight into "relationships", there is an extreme irony to the fact that such insights are not brought to bear on a more fruitfully meaningful ordering of the many "branches" of mathematics itself, as separately argued (Missing "map" of mathematics: a self-reflexive "periodic table"? 2009). Is it from the patterns of mathematical order that the most powerful insights are yet to be obtained, as separately argued (Towards a Periodic Table of Ways of Knowing -- in the light of metaphors of mathematics, 2009)?