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More copies of this ISBN:This title in other formats:Other titles in the Peter N. Nevraumont Books series:Meta Math! The Quest for Omegaby Gregory Chaitin
Synopses & ReviewsPublisher Comments:In All of science is based on mathematics, but mathematicians have become painfully aware that math itself has serious limitations. This notion was first revealed in the work of two giants of twentieth-century mathematics: Kurt Godel and Alan Turing. Now their successor, Gregory Chaitin, digs even deeper into the foundations of mathematics, demonstrating that mathematics is riddled with randomness, enigmas, and paradoxes. Chaitin's revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what, ultimately, we can know about the universe and the very nature of life. But if unknowability is at the core of Chaitin's theories, the great gift of his book is its completely engaging knowability. In an infectious and enthusiastic narrative, Chaitin introduces us to his passion for mathematics at its deepest and most philosophical level, and delineates the specific intellectual and intuitive steps he took toward the discovery of Omega. In the final analysis, he shows us that mathematics is as much art as logic, as much experimental science as pure reasoning. And by the end, he has helped us to see and appreciate the art (and the sheer beauty) in the science of math. In Meta Math!, Gregory Chaitin takes us to the very frontiers of scientific thinking. It is a thrilling ride. Review:“A startling vision of the future of mathematics. . . . The Chaitinesque intellectual future will be eternally youthful and anarchic.”American Scientist Review:“Math’s dark secret is out. . . . Chaitin explains why omega, a number he discovered thirty years ago, has him convinced that math is based on randomness.” Time Magazine Review:“Captivating. . . . With extraordinary skill and a gentle humor, Chaitin shares his profound insights.” Paul Davies, author of How to Build a Time Machine Review:“A clearly written and witty look at a difficult subject. . . . Chaitin explains with infectious enthusiasm how mathematics doesn't equal certainty.” –Science News Synopsis:Gregory Chaitin, one of the world’s foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory. Chaitin’s revolutionary discovery, the Omega number, is an exquisitely complex representation of unknowability in mathematics. His investigations shed light on what we can ultimately know about the universe and the very nature of life. In an infectious and enthusiastic narrative, Chaitin delineates the specific intellectual and intuitive steps he took toward the discovery. He takes us to the very frontiers of scientific thinking, and helps us to appreciate the art—and the sheer beauty—in the science of math. About the AuthorGregory Chaitin works at the IBM Thomas J. Watson Research Center in Westchester County, New York, and is a visiting professor in the Computer Science Department of the University of Auckland, New Zealand. The author of eight previous books on mathematics, he lives in New York. Table of ContentsPreface Quotes by Leibniz/Galileo Franz Kafka: Before the Law One Introduction Two Three Strange Loves: Primes/Gödel/LISP Three Digital Information: DNA/Software/Leibniz Four Intermezzo Five The Labyrinth of the Continuum Six Complexity, Randomness & Incompleteness Seven Conclusion Poem by Robert Chute Poem by Marion Cohen Further Reading Appendix I Appendix II Index What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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