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

B The structure of the continuum 1186
4
GEORGE BERKELEY 16851753
11
GODFREY HAROLD HARDY
27
COLIN MACLAURIN 16981746
93
JEAN LeROND DALEMBERT 17171783
123
IMMANUEL KANT 17241804
132
JOHANN HEINRICH LAMBERT 17281777
152
B Mathematical proof 1243
158
AUGUSTUS DE MORGAN 18061871
331
WILLIAM ROWAN HAMILTON 18051865
362
GEORGE BOOLE 18151864
442
A The mathematical analysis of logic being an essay
451
JAMES JOSEPH SYLVESTER 18141897
510
WILLIAM KINGDON CLIFFORD 18451879
523
ARTHUR CAYLEY 18211895
542
CHARLES SANDERS PEIRCE 18391914
574

BERNARD BOLZANO 17811848
168
E Was sind und was sollen die Zahlen? 787
170
GEORG CANTOR 18451918 838
249
CARL FRIEDRICH GAUSS 17771855
293
DUNCAN GREGORY 18131844
314

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Philosophy of Logic

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