Continuum hypothesis/Bibliography: Difference between revisions
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The following papers are (advanced) surveys: | |||
W. Hugh Woodin, ''The Continuum Hypothesis, Part I'', | W. Hugh Woodin, ''The Continuum Hypothesis, Part I'', |
Revision as of 16:51, 15 June 2009
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Original sources
1877
Georg Cantor, Ein Beitrag zur Mannigfaltigkeitslehre..
Journal für die reine und angewandte Mathematik, Band 84 (1878) pp.242-258.
(Halle a.S., den 11. Juli 1877)
1900
David Hilbert, Mathematische Probleme.
Vortrag, gehalten auf dem internationalen Mathematiker-Kongreß zu Paris 1900.
Nachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen, mathematisch-physikalische Klasse.
1900,3, pp.253-297.
David Hilbert, Mathematical Problems.
Lecture delivered before the International Congress of Mathematicians at Paris in 1900.
Bull. Amer. Math. Soc. 8, 437-379 (July 1902).
Reprinted in: Bulletin (New Series) of the American Mathematical Society, Volume 37, Number 4 (2000), pp.407-436.
1938
Kurt Gödel, The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis.
Proc. Nat. Acad. Sc. USA, Vol. 24 (1938), pp.556-557. Communicated November 9, 1938.
1963
Paul J. Cohen, The Independence of the Continuum Hypothesis.
Proc. Nat. Acad. Sc. USA, Vol. 50 (1963), pp.1143-1148.
Paul J. Cohen, The Independence of the Continuum Hypothesis, II
Proc. Nat. Acad. Sc. USA, Vol. 51 (1964), pp.105-110. Communicated November 27, 1963.
(Multilithed notes, April 1963, Stanford University,
and presented in a lecture, May 3, 1963, at Princeton, Institute for Advanced Study.
other
Kurt Gödel, What is Cantor's Continuum Problem?
Amer. Math. Monthly, Vol. 54 (1947), pp.515-525.
The following papers are (advanced) surveys:
W. Hugh Woodin, The Continuum Hypothesis, Part I,
Notices of the AMS, Vol. 48, No. 6 (2001), pp.567–576.
W. Hugh Woodin, The Continuum Hypothesis, Part II,
Notices of the AMS, Vol. 48, No. 7 (2001), pp.681–690.
Juliet Floyd & Akahiro Kanamori, How Gödel Transformed Set Theory. Notices of the American Mathematical Society, Vol. 53, No. 4 (2006), pp.419-427