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Meta Math! The Quest for Omega

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Meta Math! The Quest for Omega  Cover

 

Synopses & Reviews

Publisher Comments:


In , Gregory Chaitin, one of the world's foremost mathematicians, leads us on a spellbinding journey of scientific discovery and illuminates the process by which he arrived at his groundbreaking theories.

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.

Synopsis:

Gregory Chaitin, one of the worlds foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory.

Chaitins 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 Author

Gregory 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 Contents

Preface

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

Product Details

ISBN:
9781400077977
Author:
Chaitin, Gregory
Publisher:
Vintage Books USA
Subject:
Stochastic processes
Subject:
Machine Theory
Subject:
History -- Philosophy.
Subject:
Computational complexity
Subject:
General Mathematics
Subject:
Mathematics -- History.
Copyright:
Edition Description:
Trade paper
Series:
Vintage
Publication Date:
November 2006
Binding:
TRADE PAPER
Grade Level:
General/trade
Language:
English
Illustrations:
Y
Pages:
240
Dimensions:
7.94x5.28x.63 in. .55 lbs.

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Related Subjects


Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » History
Science and Mathematics » Mathematics » Popular Surveys and Recreational

Meta Math! The Quest for Omega New Trade Paper
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Product details 240 pages Vintage Books USA - English 9781400077977 Reviews:
"Synopsis" by , Gregory Chaitin, one of the worlds foremost mathematicians, leads us on a spellbinding journey, illuminating the process by which he arrived at his groundbreaking theory.

Chaitins 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.

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