Bibliography:Continuum hypothesis

[edit] 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.

[edit] 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