Author: Gregory Chaitin
A metamathematician best known for his discovery of the Omega number explains how Darwin's theory of evolution succeeds on a mathematic level and argues that no one can be certain about evolution without a proven mathematical theory. Original.
Author: Gregory J. Chaitin
Publisher: Springer Science & Business Media
This essential companion to Chaitin's successful books The Unknowable and The Limits of Mathematics, presents the technical core of his theory of program-size complexity. The two previous volumes are more concerned with applications to meta-mathematics. LISP is used to present the key algorithms and to enable computer users to interact with the authors proofs and discover for themselves how they work. The LISP code for this book is available at the author's Web site together with a Java applet LISP interpreter. "No one has looked deeper and farther into the abyss of randomness and its role in mathematics than Greg Chaitin. This book tells you everything hes seen. Don miss it." John Casti, Santa Fe Institute, Author of Goedel: A Life of Logic.'
Science has made great strides in modeling space, time, mass and energy. Yet little attention has been paid to the precise representation of the information ubiquitous in nature. Introduction to Evolutionary Informatics fuses results from complexity modeling and information theory that allow both meaning and design difficulty in nature to be measured in bits. Built on the foundation of a series of peer-reviewed papers published by the authors, the book is written at a level easily understandable to readers with knowledge of rudimentary high school math. Those seeking a quick first read or those not interested in mathematical detail can skip marked sections in the monograph and still experience the impact of this new and exciting model of nature's information. This book is written for enthusiasts in science, engineering and mathematics interested in understanding the essential role of information in closely examined evolution theory.
Author: Gregory J. Chaitin
One of the world's leading mathematicians explores the enigmas, paradoxes, and random qualities that exist within the field of mathematics and discusses his ground-breaking discovery of the Omega number, a complex representation of unknowability. Reprint. 10,000 first printing.
As a teenager, Greg created independently of Kolmogorov and Solomonoff, what we call today algorithmic information theory, a sub ject of which he is the main architect. His 1965 paper on gedanken experiments on automata, which he wrote when he was in high school, is still of interest today. He was also heavily involved in IBM, where he has worked for almost thirty years, on the development of RISC technology. Greg's results are widely quoted. My favorite portrait of Greg can be found in John Horgan's-a writer for Scientific American-1996 book The End 01 Science. Greg has gotten many honors. He was a guest of distinguished people like Prigogine, the King and Queen of Belgium, and the Crown Prince of Japan. Just to be brief, allow me to paraphrase Bette Davis in All About Eve. She said, "Fasten your seat belts, it's going to be a bumpy talk!" Ladies and Gentlemen, Greg Chaitin! [Laughter & Applause] CRISTIAN CALUDE introducing GREGORY CHAITIN at the DMTCS'96 meeting at the University of Auckland.
Computation and Its Limits
Author: W. Paul Cockshott, Paul Cockshott, Lewis M Mackenzie, Gregory Michaelson
Publisher: Oxford University Press
Although we are entirely unaware of it, computation is central to all aspects of our existences. Every day we solve, or try to solve, a myriad of problems, from the utterly trivial to the bafflingly complex. This book explains why it is possible to do computation and what the ultimate limits of it are, as understood by modern science.
Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable ê number, a concrete example of irreducible complexity in pure mathematics which shows that mathematics is infinitely complex. In this volume, Chaitin discusses the evolution of these ideas, tracing them back to Leibniz and Borel as well as Gdel and Turing.This book contains 23 non-technical papers by Chaitin, his favorite tutorial and survey papers, including Chaitin's three Scientific American articles. These essays summarize a lifetime effort to use the notion of program-size complexity or algorithmic information content in order to shed further light on the fundamental work of Gdel and Turing on the limits of mathematical methods, both in logic and in computation. Chaitin argues here that his information-theoretic approach to metamathematics suggests a quasi-empirical view of mathematics that emphasizes the similarities rather than the differences between mathematics and physics. He also develops his own brand of digital philosophy, which views the entire universe as a giant computation, and speculates that perhaps everything is discrete software, everything is 0's and 1's.Chaitin's fundamental mathematical work will be of interest to philosophers concerned with the limits of knowledge and to physicists interested in the nature of complexity.
The author, G. J. Chaitin, shows that God plays dice not only in quantum mechanics but also in the foundations of mathematics. According to Chaitin there exist mathematical facts that are true for no reason. This fascinating and provocative text contains a collection of his most wide-ranging and non-technical lectures and interviews. It will be of interest to anyone concerned with the philosophy of mathematics, the similarities and differences between physics and mathematics, and mathematics as art.
The Edge of Evolution
Author: Michael J. Behe
Publisher: Simon and Schuster
The author of Darwin's Black Box draws on new findings in genetics to pose an argument for intelligent design that refutes Darwinian beliefs about evolution while offering alternative analyses of such factors as disease, random mutations, and the human struggle for survival. Reprint. 40,000 first printing.
Genetics and the Origin of Species
Author: Theodosius Dobzhansky, Theodosius Grigorievich Dobzhansky
Publisher: Columbia University Press
Featuring an introduction by Stephen Jay Gould, "Genetics and the Origin of Species" presents the first edition of Dobzhansky's groundbreaking and now classic inquiry into what has emerged as the most important single area of scientific inquiry in the twentieth century: biological theory of evolution. Genetics and the Origin of Species went through three editions (1937, 1941, and 1951) in which the importance accorded natural selection changed radically.
Why are most plants green? Why doesn't stomach acid dissolve the stomach itself? Why are there more tornados in the Midwest than on the coast? This volume answers these questions and over 200 more, shedding light on the science behind them. As informative as it is entertaining, it addresses every major branch of science, including physics, chemistry, biology, geology, meteorology, astronomy, and cosmology. It highlights some of the big ideas that helped shape science as we know it, and discusses the future of science with regards to nanotechnology, genetic modification, molecular medicine, and string theory. ? Complete Idiot's Guides® have a proven track record of simplifying science with great success, as with volumes on physics and chemistry ? Entertaining scientific overviews of this kind also successful, including such titles as, 'The Pocket Idiot's Guide to Not-So-Useless Facts', and 'The Complete Idiot's Guide® to Understanding Einstein'.
Presenting a theory of the theoryless, a computer scientist provides a model of how effective behavior can be learned even in a world as complex as our own, shedding new light on human nature.
The human race's most "devastatingly" popular humor series returns... With five previous books and more than 1.5 million copies sold, The Darwin Awards is a pop culture phenomenon. Honoring those who improve the species by accidentally removing themselves from it, The Darwin Awards countdown (to human extinction) is well under way-and we won't exit this mortal coil without one last laugh. In The Darwin Awards Countdown to Extinction, readers will find all-new stories chronicling humans who step onto the lowest rung on the evolutionary ladder, including: ? Nine no's with power tools ? Eight ways to incinerate yourself ? Seven safety warnings you should not ignore ? Six romance tips for "safe" sex... Featuring illustrations and brilliant science-of-evolution essays, this latest volume of The Darwin Awards enumerates just how uncommon common sense still is.