Continuum hypothesis/Bibliography: Difference between revisions

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== Original sources ==
== Original sources ==


: Georg Cantor, ''Ein Beitrag zur Mannigfaltigkeitslehre.''. <br> Journal für die reine und angewandte Mathematik, Band 84 (1878) pp.242-258         
'''1877'''
<br> Georg Cantor, ''Ein Beitrag zur Mannigfaltigkeitslehre''.  
<br>&nbsp;&nbsp; Journal für die reine und angewandte Mathematik, Band 84 (1878) pp.242-258.
([[Halle, Germany|Halle a. d. S.]], den 11. Juli 1877)        


: David Hilbert, ''Mathematische Probleme.'' <br> Nachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen, mathematisch-physikalische Klasse. 1900,3, pp.253-297.  
'''1900'''
<br> David Hilbert, ''[http://www.mathematik.uni-bielefeld.de/~kersten/hilbert/rede.html Mathematische Probleme]''.
Vortrag, gehalten auf dem internationalen Mathematiker-Kongreß zu Paris 1900.
<br>&nbsp;&nbsp; Nachrichten der Königlichen Gesellschaft der Wissenschaften zu Göttingen, mathematisch-physikalische Klasse.  
1900,3, pp.253-297.
<br> David Hilbert, ''[http://aleph0.clarku.edu/~djoyce/hilbert/problems.html Mathematical Problems]''.
Lecture delivered before the International Congress of Mathematicians at Paris in 1900.
<br>&nbsp;&nbsp; Bull. Amer. Math. Soc. 8, 437-379 (July 1902).
<br>&nbsp;&nbsp; ''Reprinted in:'' Bulletin (New Series) of the American Mathematical Society, Volume 37, Number 4 (2000), pp.407-436.


: David Hilbert, ''Mathematical Problems''. Lecture delivered before the International Congress of Mathematicians at Paris in 1900. <br> Bull. Amer. Math. Soc. 8, 437-379 (July 1902). Reprinted in: Bulletin (New Series) of the American Mathematical Society, Volume 37, Number 4, pp.407-436.
'''1938'''
<br> Kurt Gödel, ''The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis''.  
<br>&nbsp;&nbsp; Proc. Nat. Acad. Sc. USA, Vol. 24 (1938), pp.556-557. Communicated November 9, 1938.
<br> Kurt Gödel, ''Consistency-Proof for the Generalized Continuum-Hypothesis''.
<br>&nbsp;&nbsp; Proc. Nat. Acad. Sc. USA, Vol. 25 (1939), pp.220-224. Communicated February 14, 1939.
<!-- Proc. N.A.S. PNAS Proceedings of the National Academy of Sciences of the United States of America
    Vol. 24, No. 12 (Dec. 15, 1938), pp. 556-557
    http://www.pnas.org/content/24/12/556.full.pdf
    Proc. N.A.S. PNAS Proceedings of the National Academy of Sciences of the United States of America
    Vol. 25, No. 4 (April 15, 1939), pp. 220-224
    http://www.pnas.org/content/25/4/220.full.pdf
-->
<br>
Kurt Gödel, ''The Consistency of the Continuum hypothesis''.
(''The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory'')
<br>&nbsp;&nbsp; Notes by George W. Brown of lectures delivered
at the Institute for Advanced Study, Princeton, New Jersey, during the autumn term, 1938-1939.
<br>&nbsp;&nbsp; (Annals of Mathematical Studies. 3) Princeton, N.J., 1940.


: 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
<!-- Proc. N.A.S. PNAS Proceedings of the National Academy of Sciences of the United States of America -->


: Paul J. Cohen, ''The Independence of the Continuum Hypothesis''
'''1963'''
<!-- Proceedings of the National Academy of Sciences of the United States of America, Vol. 50, No. 6 (Dec. 15, 1963), pp. 1143-1148 -->
<br> Paul J. Cohen, ''The Independence of the Continuum Hypothesis''.
<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>&nbsp;&nbsp; Proc. Nat. Acad. Sc. USA, Vol. 51 (1964), pp.105-110. Communicated November 27, 1963.
<br>&nbsp;&nbsp; (Multilithed notes, April 1963, Stanford University,
and presented in a lecture, May 3, 1963, at Princeton, Institute for Advanced Study.)
<!-- Proceedings of the National Academy of Sciences of the United States of America,  
    Vol. 50, No. 6 (Dec. 15, 1963), pp. 1143-1148. Communicated September 30, 1963.
    http://www.pnas.org/content/50/6/1143.full.pdf
    Proceedings of the National Academy of Sciences of the United States of America,
    Vol. 51, No. 1 (Jan. 15, 1964), pp. 105-110 
    http://www.pnas.org/content/51/1/105.full.pdf
-->
<br>
Paul J. Cohen, ''Set theory and the continuum hypothesis''. New York, Amsterdam. 1966.
<!-- W. A. Benjamin, Inc., New York-Amsterdam 1966 vi+154 pp. -->


: Paul J. Cohen, ''The Independence of the Continuum Hypothesis, II''
== other ==
<!-- Proceedings of the National Academy of Sciences of the United States of America, Vol. 51, No. 1 (Jan. 15, 1964), pp. 105-110 -->
 
Kurt Gödel, ''What is Cantor's Continuum Problem?'' <br> Amer. Math. Monthly, Vol. 54 (1947), pp.515-525.
<!-- The American Mathematical Monthly, Vol. 54, No. 9 (Nov., 1947), pp. 515-525
    http://www.jstor.org/stable/2304666 
-->
 
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.
<br>
W. Hugh Woodin, ''The Continuum Hypothesis, Part II'',
Notices of the AMS, Vol. 48, No. 7 (2001), pp.681–690.
<!-- http://www.ams.org/notices/200106/fea-woodin.pdf
    http://www.ams.org/notices/200107/fea-woodin.pdf
-->
 
Juliet Floyd & Akahiro Kanamori, ''How Gödel Transformed Set Theory.''
Notices of the American Mathematical Society, Vol. 53, No. 4 (2006), pp.419-427
<!-- http://www.ams.org/notices/200604/fea-kanamori.pdf
-->

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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. d. 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.
Kurt Gödel, Consistency-Proof for the Generalized Continuum-Hypothesis.
   Proc. Nat. Acad. Sc. USA, Vol. 25 (1939), pp.220-224. Communicated February 14, 1939.
Kurt Gödel, The Consistency of the Continuum hypothesis. (The consistency of the axiom of choice and of the generalized continuum-hypothesis with the axioms of set theory)
   Notes by George W. Brown of lectures delivered at the Institute for Advanced Study, Princeton, New Jersey, during the autumn term, 1938-1939.
   (Annals of Mathematical Studies. 3) Princeton, N.J., 1940.


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.)
Paul J. Cohen, Set theory and the continuum hypothesis. New York, Amsterdam. 1966.

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

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