Information Theory and Evolution - ISBN:9812383999

Information Theory and Evolution

Date: 21 April 2011, 06:03

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I'd prefer to just extoll the virtues of this book, but given a couple of the other reviews I feel I must defend it first. The complaints and questions about the relationship between physical entropy and Shannon entropy that other reviewers have made are ill-considered and, simply, wrong. Physicist Edwin T. Jaynes, in 1957, identified the direct and profound connection between physical entropy and Shannon entropy in his writings on MaxEnt (Maximum Entropy) thermodynamics. Basically, physical entropy is a measure of how the elements of a physical system (typically molecules) visit the set of possible states of that system. Shannon entropy is a measure of how the elements of a symbolic system (with quite arbitrary symbols) visit the set of possible states of that system. And the two measures employ the same functions of these state visitations to quantify their respective metrics. So they truly are intimately, unequivocally bound up together. Avery's analysis is just the first I've seen that takes this to its logical conclusions, calculating numerical relations between bits of information and standard thermodynamic quantities. Brilliant!

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