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>&nbsp;&nbsp; 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)         


Line 11: Line 11:
<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>&nbsp;&nbsp; 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>&nbsp;&nbsp; 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>&nbsp;&nbsp; ''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>&nbsp;&nbsp; Proc. Nat. Acad. Sc. USA, Vol. 24 (1938), pp.556-557. Communicated November 9, 1938.
<!-- Proc. N.A.S. PNAS Proceedings of the National Academy of Sciences of the United States of America  
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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>&nbsp;&nbsp; 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>&nbsp;&nbsp; Proc. Nat. Acad. Sc. USA, Vol. 51 (1964), pp.105-110. Communicated November 27, 1963.
<br> (Multilithed notes, April 1963, Stanford University,  
<br>&nbsp;&nbsp; (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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A list of key readings about Continuum hypothesis.
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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