Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.
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About the Author
John L. Casti, a member of the faculty of both the Santa Fe Institute and the Technical Unviersity of Vienna, has written numerous acclaimed popular scinece books, including Would-be Worlds, Five Golden Rules, and The Cambridge Quintet. Werner DePauli is University Assistant and Oberrat at the Institute of Statistics and Computer Science of the University of Vienna. He is the author of several books in German about Godel.
Table of Contents
|5||Life in Princeton||75|
|6||Mechanism and Mathematics||95|
|7||Thinking Machines and the Logic of Incompleteness||119|
|8||Time and Time Again||149|
|9||The Complexity of Complexity||163|
|10||Window on the Soul||191|