From Kant to Hilbert Volume 1 : A Source Book in the Foundations of Mathematics: A Source Book in the Foundations of Mathematics, Volume 1 (Google eBook)

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Oxford University Press, Apr 21, 2005 - Mathematics - 678 pages
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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 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.
  

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Contents

Introduction
1
1 GEORGE BERKELEY 16851753
11
2 COLIN MACLAURIN 16981746
93
3 JEAN LEROND DALEMBERT 17171783
123
4 IMMANUEL KANT 17241804
132
5 JOHANN HEINRICH LAMBERT 17281777
152
6 BERNARD BOLZANO 17811848
168
7 CARL FRIEDRICH GAUSS 17771855
293
10 WILLIAM ROWAN HAMILTON 18051865
362
11 GEORGE BOOLE 18151864
442
12 JAMES JOSEPH SYLVESTER 18141897
510
13 WILLIAM KINGDON CLIFFORD 18451879
523
14 ARTHUR CAYLEY 18211895
542
15 CHARLES SANDERS PEIRCE 18391914
574
References
i
Index
xxiii

8 DUNCAN GREGORY 18131844
314
9 AUGUSTUS DE MORGAN 18061871
331

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