Incompleteness: The Proof and Paradox of Kurt Gödel (Great Discoveries)

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W. W. Norton & Company, Feb 17, 2006 - Biography & Autobiography - 296 pages
A masterly introduction to the life and thought of the man who transformed our conception of math forever. Kurt Gödel is considered the greatest logician since Aristotle. His monumental theorem of incompleteness demonstrated that in every formal system of arithmetic there are true statements that nevertheless cannot be proved. The result was an upheaval that spread far beyond mathematics, challenging conceptions of the nature of the mind.
 

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LibraryThing Review

User Review  - Eoin - LibraryThing

A good, not great, focused biography on one of the more misunderstood mathematician/logicians of the 20th cent. Inefficient exposition drags down an otherwise effective book. Worth it for a generally readable explanation of the theorems and the (lonesome) end. Read full review

LibraryThing Review

User Review  - antao - LibraryThing

“It is really not so surprising that Wittgenstein would dismiss Gödel’s result with a belittling description like ‘logische Kunstücke,’ logical conjuring tricks, patently devoid of the large ... Read full review

Contents

Introduction
13
A Platonist among the Positivists
53
Hilbert and the Formalists
121
The Proof of Incompleteness
147
Godels Incompleteness
207
Notes
263
Acknowledgments
279
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About the author (2006)

Rebecca Goldstein is a MacArthur Fellow, a professor of philosophy, and the author of five novels and a collection of short stories. She lives in Cambridge, Massachusetts.

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