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Order within chaos

P. Berge, Y. Pomeau & C. Vidal

Wiley (1987)

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Simple theories of a messy world: Truth and explanatory power in nonlinear dynamics.Alexander Rueger & W. David Sharp - 1996 - British Journal for the Philosophy of Science 47 (1):93-112.details Philosophers like Duhem and Cartwright have argued that there is a tension between laws' abilities to explain and to represent. Abstract laws exemplify the first quality, phenomenological laws the second. This view has both metaphysical and methodological aspects: the world is too complex to be represented by simple theories; supplementing simple theories to make them represent reality blocks their confirmation. We argue that both aspects are incompatible with recent developments in nonlinear dynamics. Confirmation procedures and modelling strategies in nonlinear dynamics (...) Download Export citation Bookmark 10 citations
Natural selection and self-organization.Bruce H. Weber & David J. Depew - 1996 - Biology and Philosophy 11 (1):33-65.details The Darwinian concept of natural selection was conceived within a set of Newtonian background assumptions about systems dynamics. Mendelian genetics at first did not sit well with the gradualist assumptions of the Darwinian theory. Eventually, however, Mendelism and Darwinism were fused by reformulating natural selection in statistical terms. This reflected a shift to a more probabilistic set of background assumptions based upon Boltzmannian systems dynamics. Recent developments in molecular genetics and paleontology have put pressure on Darwinism once again. Current work (...) Download Export citation Bookmark 24 citations
Models and Simulations in the Historical Emergence of the Science of Complexity.Franck Varenne - 2009 - In Moulay Aziz-Alaoui & Cyrille Bertelle (eds.), From System Complexity to Emergent Properties. Springer. pp. 3--21.details As brightly shown by Mainzer [24], the science of complexity has many distinct origins in many disciplines. Those various origins has led to “an interdisciplinary methodology to explain the emergence of certain macroscopic phenomena via the nonlinear interactions of microscopic elements” (ibid.). This paper suggests that the parallel and strong expansion of modeling and simulation - especially after the Second World War and the subsequent development of computers - is a rationale which also can be counted as an explanation of (...) Download Export citation Bookmark 3 citations

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