Wednesday, June 14, 2017

The ideal and the real

Continuing the last post, some of the references I've provided show that cognitive functioning, and natural phenomenon generally, operate via multifractal cascades, not linear, repeated, monofractal similarities. The latter are an imposition created by formal mathematics under the guise of ideal Platonic forms and/or ideal Aristotelian rules and categories. As much is admitted in this MHC paper (pp. 113-15). Even advanced maths operate via such cascades and not formal necessary and sufficient conditions that fit into tidy, reiterated sets. It seems to me that any model of complexity should be based on how dynamic systems actually operate rather than trying to fit them into a formal ideal.

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