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PopularScience
Susan Stepney
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Jack Cohen

The collapse of chaos

The aim of science is to explain what goes on in the world using the simplest underlying rules. But chaos theory shows how simple rules can lead to complex behaviour, whilst complexity science shows how relatively simple behaviour can emerge from complex systems. The combination of these should lead us to question whether the simplicities we deduce about the world should really be used as evidence for a simple underlying mechanism. This is the subject of The Collapse of Chaos by Jack Cohen and Ian Stewart. The book has information about fractals, theories of everything and such, but much of it looks at DNA and the part it plays in determining the nature of living things.

The authors argue against reductionism, and in particular the idea that DNA is a sort of blueprint for the organism. I didn't find the arguments that convincing though. For instance, there is the claim that DNA is not like a computer program because the development of organisms depends on their environment - but so does the execution of computer programs. And the idea that the same DNA might lead to totally different species seems to be the same as suggesting that you could have the same source code which would produce a Java compiler if compiled by a Java compiler and a Pascal compiler if compiled by a Pascal compiler. I wouldn't buy that, and the DNA idea seems even less credible.

This is a long book and I feel it might have been better as two books - one on reductionism and DNA and one on the relationship between complexity and chaos. But it is written in an entertaining way and you may well find it worth reading for some of the thought provoking ideas that it contains, even if you disagree with them as I do.

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Paperback 512 pages  
ISBN: 0140291253
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Published: 2000 Penguin Books Ltd
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Paperback 512 pages  
ISBN: 0140291253
Salesrank: 44369
Weight:0.79 lbs
Published: 2000 Penguin Books Ltd
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Paperback 512 pages  
ISBN: 0140291253
Salesrank: 72945
Weight:0.79 lbs
Published: 2000 Penguin UK
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From simplicity and complexity to simplexity and complicity ****
Jack Cohen is a biologist and Ian Stewart is a mathematician. It is interesting to see the impact of chaos theory and complexity theory to their specialized areas. This book represents thoughts beyond the new science made popular by James Gleick in his far reaching book Chaos: Making a New Science, in which his description of Edward Lorenz's notion of Butterfly Effect dramatically altered the perception of many people from a orderly world to a chaotic world. The overwhelmingly numerous occurring phenomenon of chaos in nature was brought to the attention of the scientific circle. Chaos was found to be actually complexity beyond the comprehension of our mind but there is also naturally emerging simplicity out of the complexity. The collapse of chaos is the path of the development of our thinking from chaos/complexity towards simplicity. The opening of the book presents the intertwining phenomenon of complexity and simplicity.

The first half of the book is devoted to explaining the current reductionist paradigm by which cosmology, evolution and human intelligence are the consequences of lower level and simpler theories of quantum mechanics, chemistry and the genetic code. The content of the chapters on prevailing science is amazingly rich. It gives a concise and clear description of the foundation of modern science. Just these few chapters alone, before examining the authors' arguments on the collapse of chaos, make the money spent on the book worth.

On physics, it is Newton's laws of motion and gravity, Einstein's theory of relativity and also the basis of quantum mechanics, explaining in their own way the cosmos starting from the Big Bang and all the way down to atoms and sub-atomic matter.

On chemistry, it is Mendeleev's periodic table, supplemented by the explanation of electron shells, and also the versatility of the carbon atom which make up the complex hydrocarbon molecules: the origin of life.

On evolution, it's Darwin's natural selection, DNA and the genetic code, and in particular the interaction between genes and the environment.

These are strong illustrations of the complexity around us. The simple rules from our discovery of the laws of nature do not necessarily and adequately explain all the observed occurrences of natural phenomenon. We are therefore living in a chaotic world full of events we do not understand, but we choose to explain a very small proportion of the chanced events which happen to fit our perceived laws.

Science explains complexities as the interaction of a huge quantity of possibilities by finding simple causes which could produce a proportion of the predictable complex effects, and call them the laws of nature. The result is used to explain predicted large-scale simplicities observed, among the complexities. We think that the laws of nature represent the underlying simplicities, and therefore these simple causes produce simple effects, despite complexities involved. However, we ignore the reality that our laws also produce complexities which are not accordingly explainable.

Cohen and Stewart explain that reductionism, i.e. the use of reducing behavior to the interactions of the smallest entity, has brought forth great advances in biology, chemistry, and physics. They believe, however, that the potential of such scientific approach is exhausted.

Starting from the middle of the book, the authors expand the new science of chaos theory and complexity theory to show how inadequate our laws of nature in dealing with complexity which is all around us. Chaos theory, made popular by the butterfly effect on the sensitive dependence on initial conditions, shows that simple causes can produce complex unpredictable effects. Whereas complexity theory suggests the opposite, that complex causes can produce simple effects.

Here, there are two main features emerging from the style of the authors. First, owing to the biology background of Jack Cohen, there are detailed examples and explanations on the complexity of evolution, the embryological growth and the development of consciousness and intelligence. They are eye-openers. Second, the authors introduce a conversation between human: the spaceship crew, and the alien: inhabitants of another planet. The core of the conversation is the difference in culture and the laws of nature between lives in different world. It proposes that our world is not unique and life form in another world may be developed along a completely different path, including the atom composition and DNA composition. The conversation is quite inspiring and humorous. However, it attracted criticism from some reviewers who have expectation of more serious writing from a supposedly science book.

The interaction between simplicity and complexity gradually escapes the paradigm of reductionism and the authors introduce two new terms: simplexity and complicity.

Simplexity refers to the tendency of a simpler order to emerge from complexity. It is the emergence of large-scale simplicities as direct consequences of rules. It covers any features that emerge from sets of similar ground rules.

Complicity is a kind of interaction between co-evolving systems that supports a tendency toward complexity. It is more like convergent evolution: different sets of rules generating similar features. Both concepts of simplexity and complicity bring about a collapse of chaos.

The moral of the book is on the inadequacy of reductionism, building toward the two explanatory principles of simplexity and complicity. For example, one cannot simply map a lower level of organization, such as the DNA code, into a living organism. There is a dynamic in which both content and context are critical.
 
Non-Elementalism As A Paradigm. ****
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.
 
Brilliant ****
I loved this book. I have never seen such a huge compilation of ideas from so many different topics compiled into one place. Not only that, but all the topics interlink to show the obvious as well as subtle connections. I especially like the fact that throughout the book, the authors manage to show numerous points of view, but without trying to force the reader to fall into any specific belief. I'll admit that not all the ideas are original in this book, but that fact is even stated within the book. For a second-year chemical engineering major such as myself, this was a real inspiration for thinking "out of the box", and really made me think about some of the "knowns" tought in science. A deffinite must. I have several friends in line to borrow this book already!
 
Disappointing **
Not terribly impressive. The first two thirds of the book offer no new ideas, the authors just rehash material you'll find elsewhere. This part of the book spends *far* too much time on the subject of evolution and DNA in my opinion, perhaps because one of the co-authors is a biologist. How about cosmology or neurology, for example - both important fields in which low-level interactions give rise to high-level emergent behaviour ?

The final third of the book also fall a little flat, IMHO. The authors' grand insights seem trivial and unoriginal. One idea in particular seems to be 'borrowed' without acknowledgement from Douglas Hofstadter's amazing "Godel, Escher, Bach" : that a message and its context are inseparable (remember the dialogues with records and record players ?) I came away feeling distinctly un-enlightened.

One aspect that really annoyed me is the use of the awful hybrid words "simplexity" and "complicity", used to describe two quite different concepts. Every time they're used, the reader is left struggling to remember which word is which. I wish the authors had aimed for clarity, rather than playing silly word-games.

And finally, I have to mention the appalling design of the UK edition of this book. The type is far too small, and the cover (white text on bright yellow) is unreadable. There's a quote on the cover from Terry Pratchett, and his name is so prominent it honestly looks as though HE wrote the book. It is possibly the worst jacket design I've ever seen.

I really admired Ian Stewart's earlier books, but my advice is to avoid this one.

 
all they want to do is remake science ***
This is a witty and at times brilliant book. The authors argue that the reductionist approach to science, which has flourished over the last 300 years, for a more holistic or contrextual approach. In the reductionist approach, scientists have choped problems into manageable bits - lab experiments or discreet mathematical problems - that eventually they assume will be fit together into a coherent whole. Nature in this view functions as a vast machine they can reduce and separate into its component parts.

TO prove their point, the authors embark on a dazzling tour of biology, chemistry and physics. But something is missing say the authors. What we know, they claim, are tiny islands in a sea of ignorance; it is self limiting as the larger questions get neglected. It is the causes of simplicity, they say - the order that suddenly emerges - that researchers should explore.

So, they conclude, it is time for a new set of questions. Unfortunately, just when we expect something new, it is here that the book gets a bit vague, with the authors falling back on anecdotes and speculation. They try to coin a new vocabulary ("simplexity" for the old and "complicity" for theirs); offer some diagrams of what they want, including an odd picture of mixing smoke with a unicorn head; and they harp on strange and abrupt conclusions, such as the importance of squid fat to the evolution of the human brain. But they do not offer a coherent new paradigm.

An uneven effort, but fun and very funny at times.

 
Hard to follow ***
So without repeating a lot of what has already been written above, I'd like to concur Bobobob5 on the whole.

The first half of the book is a quick romp through 'conventional' science, as they would have it, which is ok, but marred by the regular snidey asides at science and scientists. I think they are supposed to be jokey, but in fact it justs put your back up.

A lot of the science described is baldly stated and therefore not terribly interesting to read, especially as you know they are about to 'debunk' it. This is unlike Bill Bryson's 'Short History of Everthing', for example, which is a far more detailed and enjoyable overview of Science's achievements thus far. I would recommend Mr Bryson's book in place of this first half of the 'Collapse of Chaos'.

And then the 2nd half is indeed muddled and confusing. We certainly get the impression that they think 'reductionism' is limited, but they don't half have trouble trying to explain why. They seem unable to explain their ideas without a myriad of odd analogies to 'prove their point', which do more to obfuscate than clarify. Talking endlessly around a subject is no substitute for a clear point rationally argued.

For a more rigourous and intellectually stimulating discussion of how consciousness can arise from simple rules, and whether a conscious being can ever 'know' itself, Hofstadter's 'Godel, Escher, Bach' is still lightyears ahead.

 
Interesting, funny and erudite *****
In my view an excellent book. It is hard to make science interesting and few writers do it well. It is even harder to make it funny, which these two also manage to do. But best of all is the quality of the thinking and the creativity of the ideas in this book.

There is much in science that is asserted without there being real evidence, and many theories which are accepted by science as proven when there are fundamental questions still remaining. If you have read "The Selfish Gene", and despite the brilliance and persuasiveness of the arguments still feel (as I do) that something is wrong you will like this book.

If you like to think, to be intellectually challenged and stimulated, to explore ideas, or to look at science in different ways than the conventional, I don't think you will be disappointed with this book.

 
Thorough and thought-provoking *****
The title of this book is slightly misleading, as it implies it is about chaos, complexity and simplicity.

In fact the first half of the book is a guided tour of biology, chemisty and physics. Covering how these great sciences got where they are today, from Newton to Darwin, DNA to the lattice structure of diamonds.

The second half then presents a new way to look at science. Rather then delving inside something to find underlying rules, we should view things in context.

For example, traditionally the law of gravity is seen as the underlying principle that explains planetary motion. Cohen and Stewart argue that it is just a rule (of thumb?) that fits the facts, and that there is no LAW of gravity, no grand design. Gravity is just the way it is, and our 'Law' of gravity suits our needs.

It seems a subtle distinction, but on reading this book it is quite an important one, and it has certainly given me a different view of the world.

Very intelligent and always interesting, this book is written for the layman and is always at pains to explains matters thoroughly and use every possible analogy to help get ideas across.

This book is worth twice the money for the first half alone - a perfect primer for those interested in science, but who dont want to get technical.

Cohen and Stewart are high level experts in their respective fields, and yet they write simply and lucidly, resulting in a desire to read further.

 
Lacks cohesion and analysis ***
This book is from what I call the 'anti-reductionist' school of scientific thinking. Its aim is apparently to break the link between what happens at the atomic level and the higher level, i.e. the more visible world of plants, animals, planets etc. If this break could be achieved, the world could then be claimed as free from determinism. This is a key area for philosophers and physicists, and it is linked to the existence of free will. The authors, who are experts in the fields of evolution and modern mathematics, have a mass of material at their disposal, and this seems at times to overwhelm them; my impression is that they could quite easily turn out thousands and thousands of pages on the theme! And that is, in my opinion, the main problem, for if one truly understands a subject, one should be able to express ideas and conclusions quite concisely. After reading the book from cover to cover, I was not at all convinced that there was a cohesive message in any of it. That isn't to say that it doesn't contain a mass of most interesting information; there is surely a lot of fascinating material in the book. But, it seems to lack analysis.
 
Excellent new approach to explaining the world and science *****
I have been reading quite a few books on the emerging science of complexity, on evolution and I am even trying to do a degree in 'chaos'. Something seemed to be lacking.

I certainly did like Dawkins' "The selfish gene", but, somehow I had difficulty believing that something that fundamental as our evolution could be explained by the selfishness of (rather complex) molecules that act as selfish replicators.

Cohen (a molecular biologist) and Stewart (a mathematician) take another approach. By looking at most contemporary science, and its history, ranging from Newton to Einstein to Darwin and Dawkins they describe in the first part of their book the reductionalist approach to explaining the world. In the second part they take the reverse approach, looking at the same 'features' (their word) from a more 'holistic' view point (although they rightly object to the word 'holistic').

They point out, in a way, where both approached flaw. It is, essentially, about explaining not why the world is so complicated and complex, but more why, on earth!, does it display so many simplicities? A fascinating approach that was new to me when I read it. Cohen and Stewart introdue two new concepts: simplexity and complicity to approach this, both looking through a different 'funnel' to the same features.

Their book is challenging and also very witty, with as a 'case study' a nice alien case study from the planet Zarathustra.

After having read this book I have adjusted the way I looked at the world. Therefore I also bought their latest book 'Figments of Reality' (Sep 1999). I have high hopes.

 
Thorough *****
The title of this book is slightly misleading, as it implies it is about chaos, complexity and simplicity.

In fact the first half of the book is a guided tour of biology, chemisty and physics. Covering how these great sciences got where they are today, from Newton to Darwin, DNA to the lattice structure of diamonds.

The second half then presents a new way to look at science. Rather then delving inside something to find underlying rules, we should view things in context.

For example, traditionally the law of gravity is seen as the underlying principle that explains planetary motion. Cohen and Stewart argue that it is just a rule (of thumb?) that fits the facts, and that there is no LAW of gravity.

It seems a subtle distinction, but on reading this book it is quite an important one, and it has certainly given me a different view of the world.

Very intelligent and always interesting, this book is written for the layman and is always at pains to explains matters thoroughly and use every possible analogy to help get ideas across.

This book is worth twice the money for the first half alone - a perfect primer for those interested in science, but who dont want to get technical.

Cohen and Stewart are high level experts in their respective fields, and yet they write simply and lucidly, resulting in a desire to read further.


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