Grundlagen der Mathematik

Grundlagen der Mathematik (English: Foundations of Mathematics) is a two-volume work by David Hilbert and Paul Bernays. Originally published in 1934 and 1939, it presents fundamental mathematical ideas and introduced second-order arithmetic.

Publication history

• 1934/1939 (Vol. I, II) First German edition, Springer
• 1944 Reprint of first edition by J. W. Edwards, Ann Arbor, Michigan.
• 1968/1970 (Vol. I, II) Second revised German edition, Springer
• 1979/1982 (Vol. I, II) Russian translation of 1968/1970, Nauka Publ., Moscow
• 2001/2003 (Vol. I, II) French translation, L’Harmattan, Paris
• 2011/2013 (Parts A and B of Vol. I, prefaces and sections 1-5) English translation of 1968 and 1934, bilingual with German facsimile on the left-hand sides.
• The Hilbert Bernays Project is producing an English translation.

See also

• Hilbert–Bernays paradox

References

• Sieg, Wilfried; Ravaglia, Mark (2005), "Chapter 77. David Hilbert and Paul Bernays, Grundlagen der Mathematik" (PDF), in Grattan-Guinness, Ivor (ed.), Landmark writings in western mathematics 1640–1940, Elsevier B. V., Amsterdam, pp. 981–99,
  MR 2169816, archived from the original
  (PDF) on 2011-05-14, retrieved 2011-02-01
• MR 0237246, archived from the original
  on 2011-05-17
• MR 0272596, archived from the original
  on 2011-05-17
• MR 0237246
• Hilbert, D.;
  MR 0272596
• MR 3027390
• ISBN 978-1-84890-075-2

• Hilbert Bernays Project which aims to produce an English translation of Grundlagen der Mathematik.

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