Continuum hypothesis/Bibliography: Difference between revisions
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== Original sources == | == Original sources == | ||
'''1877''' | |||
<br> Georg Cantor, ''Ein Beitrag zur Mannigfaltigkeitslehre''. | |||
<br> Journal für die reine und angewandte Mathematik, Band 84 (1878) pp.242-258. | |||
([[Halle, Germany|Halle a. d. S.]], den 11. Juli 1877) | |||
: Gödel | '''1900''' | ||
: Cohen | <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> 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> Bull. Amer. Math. Soc. 8, 437-379 (July 1902). | |||
<br> ''Reprinted in:'' Bulletin (New Series) of the American Mathematical Society, Volume 37, Number 4 (2000), pp.407-436. | |||
'''1938''' | |||
<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> Kurt Gödel, ''Consistency-Proof for the Generalized Continuum-Hypothesis''. | |||
<br> 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> Notes by George W. Brown of lectures delivered | |||
at the Institute for Advanced Study, Princeton, New Jersey, during the autumn term, 1938-1939. | |||
<br> (Annals of Mathematical Studies. 3) Princeton, N.J., 1940. | |||
'''1963''' | |||
<br> Paul J. Cohen, ''The Independence of the Continuum Hypothesis''. | |||
<br> Proc. Nat. Acad. Sc. USA, Vol. 50 (1963), pp.1143-1148. | |||
<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> (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. --> | |||
== other == | |||
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