front cover of Bigger than Chaos
Bigger than Chaos
Understanding Complexity through Probability
Michael Strevens
Harvard University Press, 2003

Many complex systems—from immensely complicated ecosystems to minute assemblages of molecules—surprise us with their simple behavior. Consider, for instance, the snowflake, in which a great number of water molecules arrange themselves in patterns with six-way symmetry. How is it that molecules moving seemingly at random become organized according to the simple, six-fold rule? How do the comings, goings, meetings, and eatings of individual animals add up to the simple dynamics of ecosystem populations? More generally, how does complex and seemingly capricious microbehavior generate stable, predictable macrobehavior?

In this book, Michael Strevens aims to explain how simplicity can coexist with, indeed be caused by, the tangled interconnections between a complex system’s many parts. At the center of Strevens’s explanation is the notion of probability and, more particularly, probabilistic independence. By examining the foundations of statistical reasoning about complex systems such as gases, ecosystems, and certain social systems, Strevens provides an understanding of how simplicity emerges from complexity. Along the way, he draws lessons concerning the low-level explanation of high-level phenomena and the basis for introducing probabilistic concepts into physical theory.

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front cover of The Mermaid’s Tale
The Mermaid’s Tale
Four Billion Years of Cooperation in the Making of Living Things
Kenneth M. Weiss and Anne V. Buchanan
Harvard University Press, 2009

Even after 150 years, Darwin’s theory of evolution by natural selection is irresistibly compelling. But how can this idea—in which competition prevails—be consistent with all that we know about the thoroughly cooperative nature of life at the genetic and cellular level? This book reconciles these discrepancies.

Assembling a set of general principles, authors Kenneth Weiss and Anne Buchanan build a comprehensive, unified theory that applies on the evolutionary time scale but also on the developmental and ecological scales where daily life is lived, and cells, organisms, and species interact. They present this story through a diversity of examples spanning the fundamental challenges that organisms have faced throughout the history of life. This shows that even very complex traits can be constructed simply, based on these principles. Although relentless competitive natural selection is widely assumed to be the primary mover of evolutionary change, The Mermaid’s Tale shows how life more generally works on the basis of cooperation. The book reveals that the focus on competition and cooperation is largely an artifact of the compression of time—a distortion that dissolves when the nature and origins of adapted life are viewed primarily from developmental and evolutionary time scales.

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front cover of Self-Organization and Dissipative Structures
Self-Organization and Dissipative Structures
Applications in the Physical and Social Sciences
Edited by William C. Schieve and Peter M. Allen
University of Texas Press, 1982

The contributions to this volume attempt to apply different aspects of Ilya Prigogine's Nobel-prize-winning work on dissipative structures to nonchemical systems as a way of linking the natural and social sciences. They address both the mathematical methods for description of pattern and form as they evolve in biological systems and the mechanisms of the evolution of social systems, containing many variables responding to subjective, qualitative stimuli.

The mathematical modeling of human systems, especially those far from thermodynamic equilibrium, must involve both chance and determinism, aspects both quantitative and qualitative. Such systems (and the physical states of matter which they resemble) are referred to as self-organized or dissipative structures in order to emphasize their dependence on the flows of matter and energy to and from their surroundings. Some such systems evolve along lines of inevitable change, but there occur instances of choice, or bifurcation, when chance is an important factor in the qualitative modification of structure. Such systems suggest that evolution is not a system moving toward equilibrium but instead is one which most aptly evokes the patterns of the living world.

The volume is truly interdisciplinary and should appeal to researchers in both the physical and social sciences. Based on a workshop on dissipative structures held in 1978 at the University of Texas, contributors include Prigogine, A. G. Wilson, Andre de Palma, D. Kahn, J. L. Deneubourgh, J. W. Stucki, Richard N. Adams, and Erick Jantsch.

The papers presented include Allen, "Self-Organization in the Urban System"; Robert Herman, "Remarks on Traffic Flow Theories and the Characterization of Traffic in Cities"; W. H. Zurek and Schieve, "Nucleation Paradigm: Survival Threshold in Population Dynamics"; De Palma et al., "Boolean Equations with Temporal Delays"; Nicholas Georgescu-Roegin, "Energy Analysis and Technology Assessment"; Magoroh Maruyama, "Four Different Causal Meta-types in Biological and Social Sciences"; and Jantsch, "From Self-Reference to Self-Transcendence: The Evolution of Self-Organization Dynamics."

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