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  • Book
  • © 2004

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

  • The six volume edition makes available for the first time the German text of the most important of David Hilbert's unpublished lectures on the foundations of mathematics and physics, together with a scholarly commentary in English.

  • Includes supplementary material:

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Hardcover Book USD 159.99
Price excludes VAT (USA)

About this book

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 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.


  • 01A55, 01A60, 01A75, 03-03, 51-03, 03A05, 00A30
  • Hilbert
  • analysis
  • foundations
  • geometry
  • philosophy of mathematics


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 clearly taken great care in their handling of this source material, making this important collection of texts finally accessible to the wider community of historians of mathematics." (David E. Rowe, Historia Mathematica, Vol. 34, 2007)

Editors and Affiliations

  • McGill University Dept. Philosophy, Montreal, Canada

    Michael Hallett

  • Universität Göttingen Philosophisches Seminar, Göttingen, Germany

    Ulrich Majer

Bibliographic Information

Buying options

Hardcover Book USD 159.99
Price excludes VAT (USA)