Transformability of cognitive pantheons

Oppositional Logic as Comprehensible Key to Sustainable Democracy (Part #12)

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Whether associated with the set of polyhedra or music, the emphasis of this argument is on the transformation between modalities and the transformation pathways which enable this. This can be readily defined in geometrical and topological terms in the case of polyhedra -- for which animated visualizations are available. Such transformation is of course far more easily comprehended in familiar musical terms.

The question is how to use such templates to map the variety of otherness -- highlighting both the viable transformations between them and those which are problematic, for which the musical understanding of discord is helpful (if it cannot be encompassed by music of larger scope). Related issues are fruitfully explored by catastrophe theory in the light of the arguments of René Thom (Structural Stability and Morphogenesis, 1972), These are notably relevant in the case of psychodynamics (Rene Thom, Semio Physics: A Sketch, 1990; Apologie du Logos, 1990)

Especially intriguing is the possibility that the threads of this argument lend themselves to be interwoven in a self-referential mapping of some form, following the arguments of Douglas Hofstadter (Gödel, Escher, Bach: An Eternal Golden Braid, 1979).