The non-Euclidean revolution
著者
書誌事項
The non-Euclidean revolution
（Modern Birkhäuser classics）
Birkhäuser, c2008
- : pbk.
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注記
Reprint of the 1987 edition.
Includes bibliographical references (p. 261-262) and index
内容説明・目次
内容説明
Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution. First, the author analyzes geometry in its historical and philosophical setting; second, he examines a revolution every bit as significant as the Copernican revolution in astronomy and the Darwinian revolution in biology; third, on the most speculative level, he questions the possibility of absolute knowledge of the world. A portion of the book won the Polya Prize, a distinguished award from the Mathematical Association of America.
目次
Preface.- Introduction.- First Things.- Euclidean Geometry.- Geometry and the Diamond Theory of Truth.- The Problem with Postulate 5.- The Possibility of Non-Euclidean Geometry.- Hyperbolic Geometry.- Consistency.- Geometry and the Story Theory of Truth.- Bibliography.- Index.
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