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)

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