David Hilbert's Lectures on the Foundations of Geometry, 1891-1902

David Hilbert's Lectures on the Foundations of Geometry, 1891-1902
Format
Hardback
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Country
Germany
Published
1 February 2004
Pages
661
ISBN
9783540643739

David Hilbert’s Lectures on the Foundations of Geometry, 1891-1902

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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 Hilberts celebrated 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.

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