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ORDER (Degrees of)

From glossaLAB
Charles François (2004). ORDER (Degrees of), International Encyclopedia of Systems and Cybernetics, 2(2): 2379.
Collection International Encyclopedia of Systems and Cybernetics
Year 2004
Vol. (num.) 2(2)
ID 2379
Object type Epistemology, ontology or semantics, Methodology or model

According to D. BÖHM and F.D. PEAT, order is embedding, or enfolding, or implicite (1987, p.121— 129).

These authors hypothetize “orders of infinite degree… which contain a very rich but little explored domain”. They contend that: “Within this domain are to be found whole ranges of subtle and complex orders, some of infinite degree, which contain embedded within them many orders of lower degree. This hierarchical nesting of these suborders forms a greater order of its own” (Ibid, p.129).

These somewhat speculative ideas are at least in consonance with:

1. — WEIERSTRASS renormalization equation

2. — MANDELBROT's fractals

3. — MATURANA and VARELA's recursivity

They moreover seem to lurk somehow in the human brain, as shown by the existence of the Russian matrioshka, the Japanese kokeshi, and some of ESCHER's engravings.

In the same vein, J. BRIGGS and F.D. PEAT observe that simple and regular order is exceptional in nature… The real nature's archetypes seem to be nearer to RUELLE's strange attractors and MANDELBROT's fractals than to Platonic solids (1991, French translation, p.110).

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