Linked bibliography for the SEP article "The Continuum Hypothesis" by Peter Koellner
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If everything goes well, this page should display the bibliography of the aforementioned article as it appears in the Stanford Encyclopedia of Philosophy, but with links added to PhilPapers records and Google Scholar for your convenience. Some bibliographies are not going to be represented correctly or fully up to date. In general, bibliographies of recent works are going to be much better linked than bibliographies of primary literature and older works. Entries with PhilPapers records have links on their titles. A green link indicates that the item is available online at least partially.
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- Abraham, U. and M. Magidor, 2010, “Cardinal
arithmetic,” in Foreman and Kanamori 2010. (Scholar)
- Bagaria, J., N. Castells, and P. Larson, 2006, “An Ω-logic
primer,” in J. Bagaria and S. Todorcevic (eds), Set
theory, Trends in Mathematics, Birkhäuser, Basel,
pp. 1–28. (Scholar)
- Cohen, P., 1963, “The independence of the continuum
hypothesis I,” Proceedings of the U.S. National Academy of
Sciemces, 50: 1143–48. (Scholar)
- Foreman, M. and A. Kanamori, 2010, Handbook of Set
Theory, Springer-Verlag. (Scholar)
- Foreman, M. and M. Magidor, 1995, “Large cardinals and definable counterexamples to the continuum hypothesis,” Annals of Pure and Applied Logic 76: 47–97. (Scholar)
- Foreman, M., M. Magidor, and S. Shelah, 1988, “Martin's
Maximum, saturated ideals, and non-regular ultrafilters. Part
i,” Annals of Mathematics 127: 1–47. (Scholar)
- Gödel, K., 1938a. “The consistency of the axiom of
choice and of the generalized continuum-hypothesis,”
Proceedings of the U.S. National Academy of Sciences,
24: 556–7. (Scholar)
- Gödel, K., 1938b. “Consistency-proof for the generalized
continuum-hypothesis,” Proceedings of the U.S. National
Academy of Sciemces, 25: 220–4. (Scholar)
- Hallett, M., 1984, Cantorian Set Theory and Limitation of Size, Vol. 10 of Oxford Logic Guides, Oxford University Press. (Scholar)
- Holz, M., K. Steffens, and E. Weitz, 1999, Introduction to
Cardinal Arithmetic, Birkhäuser Advanced Texts,
Birkhäuser Verlag, Basel. (Scholar)
- Jech, T. J., 2003, Set Theory: Third Millennium Edition,
Revised and Expanded, Springer-Verlag, Berlin. (Scholar)
- Ketchersid, R., P. Larson, and J. Zapletal, 2010, “Regular embeddings of the stationary tower and Woodin's Sigma-2-2 maximality theorem.” Journal of Symbolic Logic 75(2):711–727. (Scholar)
- Koellner, P., 2010, “Strong logics of first and second order,” Bulletin of Symbolic Logic 16(1): 1–36. (Scholar)
- Koellner, P. and W. H. Woodin, 2009, “Incompatible Ω-complete theories,” The Journal of Symbolic Logic 74 (4). (Scholar)
- Martin, D. A., 1976, “Hilbert's first problem: The Continuum
Hypothesis,” in F. Browder (ed.), Mathematical
Developments Arising from Hilbert's Problems,
Vol. 28 of Proceedings of Symposia in
Pure Mathematics, American Mathematical Society,
Providence, pp. 81–92. (Scholar)
- Mitchell, W., 2010, “Beginning inner model
theory,” in Foreman and Kanamori 2010. (Scholar)
- Steel, J. R., 2010, “An outline of inner model
theory,” in Foreman and Kanamori 2010. (Scholar)
- Woodin, W. H., 1999, The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal, Vol. 1 of de Gruyter Series in Logic and its Applications, de Gruyter, Berlin. (Scholar)
- –––, 2001a, “The continuum hypothesis, part
I,” Notices of the American Mathematical
Society 48(6): 567–576. (Scholar)
- –––, 2001b, “The continuum hypothesis, part
II,” Notices of the American Mathematical
Society 48(7): 681–690. (Scholar)
- –––, 2005a, “The continuum hypothesis,” in
R. Cori, A. Razborov, S. Todorĉević and C. Wood
(eds), Logic Colloquium 2000, Vol. 19
of Lecture Notes in Logic, Association of Symbolic Logic,
pp. 143–197. (Scholar)
- –––, 2005b, “Set theory after Russell: the journey back
to Eden,” in G. Link (ed.), One Hundred Years Of
Russell's Paradox: Mathematics, Logic, Philosophy
, Vol. 6 of de Gruyter Series in Logic and Its
Applications, Walter De Gruyter Inc, pp. 29–47. (Scholar)
- –––, 2010, “Suitable extender models I,” Journal of Mathematical Logic 10(1–2): 101–339. (Scholar)
- –––, 2011a, “The Continuum Hypothesis, the
generic-multiverse of sets, and the Ω-conjecture,” in
J. Kennedy and R. Kossak, (eds), Set Theory, Arithmetic,
and Foundations of Mathematics: Theorems, Philosophies,
Vol. 36 of Lecture Notes in Logic, Cambridge University
Press. (Scholar)
- –––, 2011b, “Suitable extender models II,” Journal
of Mathematical Logic 11(2): 115–436. (Scholar)