From Kant To Hilbert Volume 1: A Source Book In The Foundations Of Mathematics

Hardcover | December 31, 2004

byWilliam Bragg Ewald

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Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era ofmathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics--algebra, geometry, number theory, analysis, logic and set theory--with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain anunderstanding of the foundation of modern mathematics.

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Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era ofmathematical research through a carefully c...

William Ewald is at Assistant Professor of Law and Philosophy, University of Pennsylvania.

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Format:HardcoverDimensions:678 pages, 9.13 × 6.14 × 1.38 inPublished:December 31, 2004Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198505353

ISBN - 13:9780198505358

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Table of Contents

1. George Berkeley (1965-1753)2. Colin MacLaurin (1698-1746)3. Jen LeRond D'Alembert (1717-1783)4. Immanuel Kant (1724-1804)5. Johann Heinrich Lambert (1728-1777)6. Bernard Bolzano (1781-1848)7. Carl Friedrich Gauss (1777-1855)8. Duncan Gregroy (1813-1844)9. Augustus De Morgan (1806-1871)10. William Rowan Hamilton (1805-1865)11. George Boole (1815-1864)12. James Joseph Sylvester (1814-1897)13. William Kingdon Clifford (1845-1879)14. Arthur Cayley (1821-1895)15. Charles Sanders Peirce (1839-1914)