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Grundlagen der Mathematik

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Grundlagen der Mathematik
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{{italic title}}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

References

  • {{Citation | last1=Sieg | first1=Wilfried | last2=Ravaglia | first2=Mark | editor1-last=Grattan-Guinness | editor1-first=Ivor | title=Landmark writings in western mathematics 1640--1940 | publisher=Elsevier B. V., Amsterdam | isbn=978-0-444-50871-3 | doi=10.1016/B978-044450871-3/50158-3 | year=2005 | chapter=Chapter 77. David Hilbert and Paul Bernays, Grundlagen der Mathematik | pages=981–99|url=http://www.hss.cmu.edu/philosophy/techreports/154_Sieg.pdf | mr=2169816}}
  • {{Citation|last1=Hilbert |first1=David |author1-link=David Hilbert |last2=Bernays |first2=Paul |title=Grundlagen der Mathematik. I |url=http://www.ags.uni-sb.de/~cp/p/hilbertbernays/goal.htm |publisher=Springer-Verlag |location=Berlin, New York |series=Die Grundlehren der mathematischen Wissenschaften |isbn=978-3-540-04134-4 |year=1934 |volume=40 |mr=0237246 |jfm=60.0017.02 |deadurl=yes |archiveurl=https://web.archive.org/web/20110517092213weblink |archivedate=2011-05-17 |df= }}
  • {{Citation|last1=Hilbert |first1=David |author1-link=David Hilbert |last2=Bernays |first2=Paul |title=Grundlagen der Mathematik. II |url=http://www.ags.uni-sb.de/~cp/p/hilbertbernays/goal.htm |publisher=Springer-Verlag |location=Berlin, New York |series=Die Grundlehren der mathematischen Wissenschaften |isbn=978-3-540-05110-7 |year=1939 |volume=50 |mr=0272596 |jfm=65.0021.02 |deadurl=yes |archiveurl=https://web.archive.org/web/20110517092213weblink |archivedate=2011-05-17 |df= }}
  • {{Citation | last1=Hilbert | first1=David | author1-link=David Hilbert | last2=Bernays | first2=Paul | title=Grundlagen der Mathematik. I | origyear=1934 | publisher=Springer-Verlag | location=Berlin, New York | edition=2nd | series= Die Grundlehren der mathematischen Wissenschaften | year=1968 | volume=40 | mr=0237246|isbn=978-3642868955}}
  • {{citation|mr=0272596
    first= D.first2= P.|title=Grundlagen der Mathematik. IIseries= Die Grundlehren der mathematischen Wissenschaftenpublisher=Springer-Verlagyear=1970|isbn= 978-3642868979}}
    • {{Citation | last1=Hilbert | first1=David | author1-link=David Hilbert | last2=Bernays | first2=Paul | title=Grundlagen der Mathematik I — Foundations of Mathematics I, Part A: Prefaces and §§ 1–2 | origyear=1934/68 | publisher=College Publications | location=London | language=German, English | edition=1st | isbn=978-1-84890-033-2 | year=2011 | url=http://www.collegepublications.co.uk/other/?00022 | mr=3027390}}
    • {{Citation | last1=Hilbert | first1=David | author1-link=David Hilbert | last2=Bernays | first2=Paul | title=Grundlagen der Mathematik I — Foundations of Mathematics I, Part B: §§ 3–5 and Deleted Part I of the 1st Edn. | origyear=1934/68 | publisher=College Publications | location=London | language=German, English | edition=1st | isbn=978-1-84890-075-2 | year=2013 |url=http://www.collegepublications.co.uk/other/?00025}}

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