Jack Cohen with Ian Stewart in "The Collapse Of Chaos" attempt to show how Science must evolve. Theories such as Chaos, Quantum mechanics, Relativity, etc., require a new paradigm(methodology, worldview, etc., after Thomas Kuhn(1962)) as a way of organizing 'reality'. However since they have not been able to formalize a system(like many before them) involving emergent(Lao-Tse(c.600B.C)- whole is not the sum of the parts) phenomena, they have instead resorted to analogies, images, examples, discussion, etc. Cohen with Stewart appear to recognize self-reflexiveness, that content has context for example; non-identity(an abstraction, anything, etc., is not the 'same') though only through diversity- natural selection as contextual; non-allness(cannot have 'all' abstractions, anything, etc) via the fact that DNA conditionally only directly codes for protein synthesis, further not even indirectly for 'all' the characteristics of the organism, instead context(nurture; mother's genes, hormones, etc; environmental factors like temperature, etc; etc) has a major role; related to non-allness, non-universality: laws are not eternal truths but context-dependent(relative) upon our method of investigation(for 'reality' has a tendency of throwing up facts['filtered' out] that does not fit our laws);etc. Though Cohen with Stewart are not aware that our current inadequate methodology traces back to Aristotle(c.350B.C.), further that just such a Non-Aristotelian paradigm(the foregoing as part) got introduced by Alfred Korzybski(1933). Unfortunately, Cohen with Stewart finally falter with non-elementalism(interchangeable, equivalent, reversible, etc., functional[non-linear-asymmetry-non-additive], packets, etc., emergent, holism), their main thrust. Science has tended to explain complexities(actualities: the sheer multiplication of possibilities due to the 'interactions' of huge quantities) by finding deeper underlying simplicities(the consequence of the operation of simple rules on another level: simple 'causes' produce predictable complex 'effects'), as the laws of nature, etc., such that any large-scale simplicities (from complexities) that we observe, represent the underlying simplicities(simple 'causes' produce simple 'effects', despite complexities involved) becoming visible on a higher level, for example the spiral form of galaxies. Termed 'reductionism'('atomism', 'elementalism': Latin elementum, to 'analyse', 'atomize', etc.,- divide to the indivisible parts, the non-separable, contextually interchangeable whole(s) from part(s); etc), this represented Science's greatest achievement- where the complexity of one level becomes 'analysed' to a simplicity on another level. For example, that the 'interactions' of a range of fundamental 'particles'(-waves-fields) can account for the chemical 'elements', further how they 'react', bond, etc. However this answer is no longer convincing. Chaos theory(for example, butterfly 'effect':"sensitive dependence on initial conditions") suggests that simple 'causes' can produce complex unpredictable 'effects', for example Mitchell Feigenbaum's(1979) number, the basis of Benoit Mandelbrot's(1977) Mandelbrot fractals, etc.; different from the underlying rules. Whereas complexity(Stuart Kaufmann's Anti-chaos) theory suggests the opposite: complex 'causes' can produce simple 'effects'. Echoing 'conventional reductionist' Science current findings that inside the great simplicities of the universe we find not simplicity, but over-whelming complexity. Here Cohen with Stewart introduce the terms complicity(defined as functioning as accomplice; becoming complex) representing chaotic systems, along with simplexity(defined as "comprising a single part"; "process involving simple features arising from a system of rules") representing anti-chaotic systems. Though 'reductionism' appears occasionally great for quantitative mathematical calculations involving content. Our understanding of external large-scale functionings remains instead mostly descriptive, geometric, qualitative, etc.,- emergence involving context. Charles Darwin's(1859) principle of natural selection for example has no agreed upon laws, equations, etc., from which natural selection can become derived. Therefore Cohen with Stewart came to realize that emergent simplicities represent structural patterns created by external constraints, that collapse an underlying sea of random fluctuation- chaos. However though holism would thus appear as the obvious alternative to 'reductionism', yet it is not what Cohen along with Stewart want: "It considers a system as a unit and often ignores its context". Nevertheless though this may appear true for example, Kurt Goldstein's(1934) "organism-as-a-whole", other formulations have intermeshed context(equivalent to Korzybski's(1933) self-reflexive premise), again from Korzybski's(1933) Non-Aristotelian system:"organism-as-a-whole-in-an-environment". But before that we had Edgar Rubin's(1915) "reversible figure(s)-ground(s)" of Gestalt 'Psychology'; which can explain for example Mandelbrot's fractal as a holistic process. Now the problem remains as to how to formulate this emergent process. Firstly our theories as 'generalized-universals' destroy facts, therefore we must formulate them as packets of reversible content(s)-context(s) relative uncertainties. Secondly we must mathematically bridge quantitative(content) with qualitative(context) phenomena as relative uncertainties. Mathematics as the Science of patterns(otherwise function of values), is not another 'reduction' but a language with which we can gain insights into how patterns arise. However Cohen with Stewart in the end fail to see the interchangeability of functional non-additive-asymmetry-non-linearity as mathematical emergence, which finally must have blocked their understanding. Though further diverse insights may well have assisted. Nevertheless despite these flaws, Cohen along with Stewart have made a magnificent effort, for not many would have made it as far as they have. |