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Bigger Than Chaos Understanding Complexity Through Probability

Strevens, Michael
ISBN-10: 0674044061
ISBN-13: 9780674044067

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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Note to the Reader
The Simple Behavior of Complex Systems
Simplicity in Complex Systems
Enion Probability Analysis
Towards an Understanding of Enion Probabilities
The Physics of Complex Probability
Complex Probability Quantified
Microconstant Probability
The Interpretation of IC-Variable Distributions
Probabilistic Networks
Standard IC-Variables
Complex Probability and Probabilistic Laws
Effective and Critical IC-Values
The Method of Arbitrary Functions
More on the Tossed Coin
Proofs
The Independence of Complex Probabilities
Stochastic Independence and Selection Rules
Probabilities of Composite Events
Causal Independence
Microconstancy and Independence
The Probabilistic Patterns Explained
Causally Coupled Experiments
Chains of Linked IC-Values
Conditional Probability
Proofs
The Simple Behavior of Complex Systems Explained
Representing Complex Systems
Enion Probabilities and Their Experiments
The Structure of Microdynamics
Microconstancy and Independence of Enion Probabilities
Independence of Microdynamic Probabilities
Aggregation of Enion Probabilities
Grand Conditions for Simple Macrolevel Behavior
Statistical Physics
Population Ecology
Implications for the Philosophy of the Higher-Level Sciences
Reduction
Higher-Level Laws
Causal Relevance
The Social Sciences
The Mathematics of Complex Systems
Are There Simple Probabilities?
Notes
Glossary
References
Index
Michael Strevens is Professor of Philosophy at New York University.

List price: $30.50
Edition: 2003
Publisher: Harvard University Press
Binding: E-Book 
Pages: 432
Size:
Weight: N/A
Language: English

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