From Kant to Hilbert
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From Kant to Hilbert

From Kant to Hilbert


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About the Book

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 century ideas. This two-volume work provides an overview of this important era of mathematical 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 an understanding of the foundation of modern mathematics. From reviews of the hardback: '...well prepared and paves the way to a profound study of the concerned subject.' E. Knobloch in Zentrallblatt fur Mathematik. '...the book is a wide-ranging and substantial contribution to the accessibility of writings on the foundation of various branches of mathematics. ' I. Grattan-Guinness in History and Philosophy of Logic.

Table of Contents:
VOLUME 1; Introduction; 1. George Berkeley (1685-1753); 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 Gregory (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); VOLUME II; 16. Georg Friedrich Bernhard Riemann (1826-1866); 17. Hermann von Helmholtz (1821-1894); 18. Julius Wilhelm Richard Dedekind (1831-1916); 19. Georg Cantor (1845-1918); 20. Leopold Kronecker (1823-1891); 21. Christian Felix Klein (1849-1925); 22. Jules Henri Poincare (1854-1912); 23. The French analysts; 24. David Hilbert (1862-1943); 25. Luitzen Egbertus Jean Brouwer (1881-1966); 26. Ernst Zermelo (1871-1953); 27. Godfrey Harold Hardy (1877-1947); 28. Nicolaus Bourbaki

Review :
"There are already two great collections of key texts of the history of modern logic and the foundations of mathematics available: J. van Heijenoort's book From Frege to Gödel and P. Benacerf's and H. Putnam's selected readings in Philosophy of Mathematics. The marvelous two-volume set under review complements these predecessors in a perfect way." --Mathematical Reviews "I cannot begin to express my admiration or appreciation for the work that has gone into making this wonderful collection. Our thanks to William Ewald for this invaluable source book should be unbounded...[E]very serious library should have a copy. It is an invaluable resource and anyone interested in the philosophy and foundations of mathematics should start perusing its pages right away."--International Studies in the Philosophy of Science


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Product Details
  • ISBN-13: 9780198505372
  • Publisher: Oxford University Press
  • Publisher Imprint: Oxford University Press
  • Edition: New edition
  • ISBN-10: 019850537X
  • Publisher Date: 01 May 2000
  • Binding: Paperback
  • Language: English


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