Continuum hypothesis/Bibliography: Difference between revisions
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'''1877''' | '''1877''' | ||
<br> Georg Cantor, ''Ein Beitrag zur Mannigfaltigkeitslehre.''. | <br> Georg Cantor, ''Ein Beitrag zur Mannigfaltigkeitslehre.''. | ||
<br> Journal für die reine und angewandte Mathematik, Band 84 (1878) pp.242-258. | <br> Journal für die reine und angewandte Mathematik, Band 84 (1878) pp.242-258. | ||
(Halle a.S., den 11. Juli 1877) | (Halle a.S., den 11. Juli 1877) | ||
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<br> David Hilbert, ''Mathematische Probleme.'' | <br> David Hilbert, ''Mathematische Probleme.'' | ||
Vortrag, gehalten auf dem internationalen Mathematiker-Kongreß zu Paris 1900. | Vortrag, gehalten auf dem internationalen Mathematiker-Kongreß zu Paris 1900. | ||
<br> Nachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen, mathematisch-physikalische Klasse. | <br> Nachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen, mathematisch-physikalische Klasse. | ||
1900,3, pp.253-297. | 1900,3, pp.253-297. | ||
<br> David Hilbert, ''Mathematical Problems''. | <br> David Hilbert, ''Mathematical Problems''. | ||
Lecture delivered before the International Congress of Mathematicians at Paris in 1900. | Lecture delivered before the International Congress of Mathematicians at Paris in 1900. | ||
<br> Bull. Amer. Math. Soc. 8, 437-379 (July 1902). | <br> 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. | <br> ''Reprinted in:'' Bulletin (New Series) of the American Mathematical Society, Volume 37, Number 4 (2000), pp.407-436. | ||
'''1938''' | '''1938''' | ||
<br> Kurt Gödel, ''The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis''. | <br> Kurt Gödel, ''The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis''. | ||
<br> Proc. Nat. Acad. Sc. USA, Vol. 24 (1938), pp.556-557. Communicated November 9, 1938. | <br> Proc. Nat. Acad. Sc. USA, Vol. 24 (1938), pp.556-557. Communicated November 9, 1938. | ||
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Vol. 24, No. 12 (Dec. 15, 1938), pp. 556-557 | Vol. 24, No. 12 (Dec. 15, 1938), pp. 556-557 | ||
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'''1963''' | '''1963''' | ||
<br> Paul J. Cohen, ''The Independence of the Continuum Hypothesis''. | <br> Paul J. Cohen, ''The Independence of the Continuum Hypothesis''. | ||
<br> Proc. Nat. Acad. Sc. USA, Vol. 50 (1963), pp.1143-1148. | <br> Proc. Nat. Acad. Sc. USA, Vol. 50 (1963), pp.1143-1148. | ||
<br> Paul J. Cohen, ''The Independence of the Continuum Hypothesis, II'' | <br> Paul J. Cohen, ''The Independence of the Continuum Hypothesis, II'' | ||
<br> Proc. Nat. Acad. Sc. USA, Vol. 51 (1964), pp.105-110. Communicated November 27, 1963. | <br> Proc. Nat. Acad. Sc. USA, Vol. 51 (1964), pp.105-110. Communicated November 27, 1963. | ||
<br> (Multilithed notes, April 1963, Stanford University, | <br> (Multilithed notes, April 1963, Stanford University, | ||
and presented in a lecture, May 3, 1963, at Princeton, Institute for Advanced Study. | and presented in a lecture, May 3, 1963, at Princeton, Institute for Advanced Study. | ||
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Revision as of 16:41, 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.
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