Friday, January 5, 2018

Developmental assumptions

Continuing this post and its linked predecessor, here are the key assumptions of Ross' paper:

"To possess 'universal, scale-free' properties means the MHC’s orders of hierarchical complexity are fractal. Fractal means the repetition of self-similar patterns at different scales" (7).

"This means transitions nested within transitions are ordered in exactly the same way" (8).

This is based on a monofractal with a single power-law relationship. Multifractals interweave disparate monofractals via multiple power-law relationships using multiplicative cascade dynamics. This is typical of biological systems, up to and include brain dynamics.

The MHC's assumption of 'universal, scale-free properties' stems from the metaphysical nature of the system as revealed in this MHC paper: It is a "mathematical theory of the ideal," "a perfect form as Plato would have described it." That is, universal and scale free because math itself is a Platonic abstraction that is the origin and foundation of concrete reality. Whereas the human brain does not operate on such an ideal, or an ideal monofractal, but is grounded per above.

For a much more in-depth discussion of the MHC, visit this discussion thread, only 29 pages.


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