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David Hilbert's lectures on the foundations of geometry, 1891-1902

Author: David Hilbert; Michael Hallett; Ulrich Majer
Publisher: Berlin : Springer, ©2004.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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"This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert's Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study (the 'axiomatic method'), which  Read more...
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Document Type: Book
All Authors / Contributors: David Hilbert; Michael Hallett; Ulrich Majer
ISBN: 3540643737 9783540643739
OCLC Number: 56419419
Language Note: Text in English and German.
Description: xxviii, 661 p. : ill. ; 24 cm.
Contents: Preface.- Introduction to the Edition.- Introduction to the Contents of the Volume.- Chapter 1: Lectures on Projective Geometry (1891).- Chapter 2: Lectures on the Foundations of Geometry (1894).- Chapter 3: Holiday Courses, 1896 and 1898.- Chapter 4: Lectures on Euclidean Geometry (1898-99).- Chapter 5: The Foundations of Geometry: The Festschrift of 1899.- Chapter 6: Lectures on the Foundations of Geometry (1902).
Responsibility: Michael Hallett, Ulrich Majer, editors.
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Abstract:

This volume contains notes for lectures on the foundations of geometry held by Hilbert from 1891-1902. These contain material which never found its way into print. The volume also reprints the first  Read more...

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From the reviews: "This book represents ... Hilbert's work on the foundations of mathematics, understood in a broad sense as an enterprise impinging on all exact knowledge. ... The editors have Read more...

 
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schema:reviewBody""This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert's Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study (the 'axiomatic method'), which concentrates on assessing the logical weight of central propositions by exploiting to the full the method of independence proofs by modelling. This culminates in the lectures of 1898/1899 (the immediate precursor of the 1899 monograph) and 1902. The lectures contain many reflections and investigations which never found their way into print."--BOOK JACKET."
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