Item description for THINKING ABOUT GÖDEL AND TURING: Essays on Complexity, 1970-2007 by Gregory J. Chaitin...
Dr Gregory Chaitin, one of the world's leading mathematicians, is best known for his discovery of the remarkable omega 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.
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Studio: World Scientific Publishing Company
Est. Packaging Dimensions: Length: 10.08" Width: 7.01" Height: 0.94" Weight: 1.94 lbs.
Release Date Aug 6, 2007
Publisher World Scientific Publishing Company
ISBN 9812708952 ISBN13 9789812708953
Availability 0 units.
More About Gregory J. Chaitin
Gregory J. Chaitin currently resides in Hawthorne, in the state of New York.
Reviews - What do customers think about THINKING ABOUT GÖDEL AND TURING: Essays on Complexity, 1970-2007?
More Chaitin silliness Jan 13, 2008
This book is drivel by a blowhard. There's a perfect example of how idiotic he is, in his discussion of Garciadiego's book on Russell, which was written in part to show that the so-called set 'paradoxes' are not paradoxes. Note the title to Garciadiego's book: Bertrand Russell and the origins of the set-theoretic 'paradoxes.' The word, paradoxes, is put in quotes. Does this silly clown Chaitin pay the least attention to that? Nope! He breezes right past it, to cite Garciadiego both for Russell's 'paradox' and for Burali-Forti's. (There is no such thing as the Burali-Forti 'paradox' and Russell's 'paradox' is not a paradox.)
Chaitin is so out of touch, so addicted to the idea that there must be paradoxes, that he completely ignores the evidence that 'paradoxes' are simply seductive rhetorical constructions which have no internal consistency.
And yet this person is supposedly interested in logic? He's a very sloppy, glib, simplistic skimmer who doesn't have the slightest understanding of the material he's discussing.
A self-satisfied buffoon. Ignore everything he says. He's a gobbling clown, a sort of Harold Bloom of mathematics. When will he die?
Very interesting Jan 7, 2008
I bought this book, from a New Scientist review, for my husband who is extremely gifted in math, and not so much verbally. Reading is a chore. So when, out of all the Christmas books past, he pronounced this volume a really, really good book and read some every day - I knew it was extraordinary. Now I hope he finishes soon so I can start it!