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  1. No Decreasing Sequence of Cardinals.Paul Howard & Eleftherios Tachtsis - 2016 - Archive for Mathematical Logic 55 (3-4):415-429.
  2. Characterizing Large Cardinals in Terms of Layered Posets.Sean Cox & Philipp Lücke - 2017 - Annals of Pure and Applied Logic 168 (5):1112-1131.
  3. The Power-Set Theorem and the Continuum Hypothesis: A Dialogue Concerning Infinite Number.John-Michael Kuczynski - 2016 - Amazon Digital Services LLC.
    The nature of of Infinite Number is discussed in a rigorous but easy-to-follow manner. Special attention is paid to Cantor's proof that any given set has more subsets than members, and it is discussed how this fact bears on the question: How many infinite numbers are there? This work is ideal for people with little or no background in set theory who would like an introduction to the mathematics of the infinite.
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  4. Pantachies and Weakly Inaccessible Cardinals.Koji Nakatogawa - 1987 - Annals of the Japan Association for Philosophy of Science 7 (2):57-71.
  5. On ^|^Alefsym;0-Complete Cardinals and ^|^Pi;11-Class of Ordinals.Kanji Namba - 1967 - Annals of the Japan Association for Philosophy of Science 3 (2):77-86.
  6. On the Splitting Number at Regular Cardinals.Omer Ben-Neria & Moti Gitik - 2015 - Journal of Symbolic Logic 80 (4):1348-1360.
  7. The ${\Bf{\Sigma }}_2^1$ Counterparts to Statements That Are Equivalent to the Continuum Hypothesis.Asger Törnquist & William Weiss - 2015 - Journal of Symbolic Logic 80 (4):1075-1090.
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  8. Large Cardinals and Lightface Definable Well-Orders, Without the Gch.Sy-David Friedman, Peter Holy & Philipp Lücke - 2015 - Journal of Symbolic Logic 80 (1):251-284.
  9. Determinacy and Jónsson Cardinals in L.S. Jackson, R. Ketchersid, F. Schlutzenberg & W. H. Woodin - 2014 - Journal of Symbolic Logic 79 (4):1184-1198.
  10. Tameness From Large Cardinal Axioms.Will Boney - 2014 - Journal of Symbolic Logic 79 (4):1092-1119.
  11. On ${\Omega _1}$-Strongly Compact Cardinals.Joan Bagaria & Menachem Magidor - 2014 - Journal of Symbolic Logic 79 (1):266-278.
  12. The Strong Tree Property at Successors of Singular Cardinals.Laura Fontanella - 2014 - Journal of Symbolic Logic 79 (1):193-207.
  13. Higher Souslin Trees and the Generalized Continuum Hypothesis.John Gregory - 1976 - Journal of Symbolic Logic 41 (3):663-671.
  14. -Definability at Uncountable Regular Cardinals.Philipp Lücke - 2012 - Journal of Symbolic Logic 77 (3):1011-1046.
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  15. Ramsey-Like Cardinals II.Victoria Gitman & P. D. Welch - 2011 - Journal of Symbolic Logic 76 (2):541-560.
  16. Kanamori Akihiro. The Higher Infinite. Large Cardinals in Set Theory From Their Beginnings. Perspectives in Mathematical Logic. Springer-Verlag, Berlin, Heidelberg, New York, Etc., 1994, Xxiv + 536 Pp. [REVIEW]Azriel Levy - 1996 - Journal of Symbolic Logic 61 (1):334-336.
  17. Moti Gitik. Regular Cardinals in Models of ZF. Transactions of the American Mathematical Society, Vol. 290 , Pp. 41–68.Thomas Jech - 1994 - Journal of Symbolic Logic 59 (2):668.
  18. Larger Cardinals in Cichon's Diagram.Jorg Brendle - 1991 - Journal of Symbolic Logic 56 (3):795.
    We prove that in many situations it is consistent with ZFC that part of the invariants involved in Cichon's diagram are equal to $\kappa$ while the others are equal to $\lambda$, where $\kappa < \lambda$ are both arbitrary regular uncountable cardinals. We extend some of these results to the case when $\lambda$ is singular. We also show that $\mathrm{cf}) < \kappa_A$ is consistent with ZFC.
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  19. Gregory John. Higher Souslin Trees and the Generalized Continuum Hypothesis.Daniel Velleman - 1984 - Journal of Symbolic Logic 49 (2):663-665.
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  20. Silver Jack H.. Measurable Cardinals and Well-Orderings. Annals of Mathematics, Ser. 2 Vol. 94 , Pp. 414–446.Menachem Magidor - 1974 - Journal of Symbolic Logic 39 (2):330-331.
  21. Příkrý K.. The Consistency of the Continuum Hypothesis for the First Measurable Cardinal. Bulletin de l'Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques Et Physiques, Vol. 13 , Pp. 193–197. [REVIEW]M. Boffa - 1973 - Journal of Symbolic Logic 38 (4):652.
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  22. Rieger L.. On the Consistency of the Generalized Continuum Hypothesis. Rozprawy Matematyczne No. 31. Państwowe Wydawnictwo Naukowe, Warsaw 1963, 45 Pp. [REVIEW]F. R. Drake - 1973 - Journal of Symbolic Logic 38 (1):153.
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  23. Platek Richard A.. Eliminating the Continuum Hypothesis.E. G. K. Lopez-Escobar - 1971 - Journal of Symbolic Logic 36 (1):166.
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  24. Cohen Paul J.. Set Theory and the Continuum Hypothesis. W. A. Benjamin, Inc., New York and Amsterdam 1966, Vi + 154 Pp. [REVIEW]Kenneth Kunen - 1970 - Journal of Symbolic Logic 35 (4):591-592.
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  25. Schock Rolf. A Simple Version of the Generalized Continuum Hypothesis. Notre Dame Journal of Formal Logic, Vol. 7 No. 3 , Pp. 287–288. [REVIEW]J. R. Shoenfield - 1970 - Journal of Symbolic Logic 35 (4):592.
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  26. Lévy A. And Solovay R. M.. Measurable Cardinals and the Continuum Hypothesis. Israel Journal of Mathematics, Vol. 5 , Pp. 234–248. [REVIEW]F. R. Drake - 1969 - Journal of Symbolic Logic 34 (4):654-655.
  27. Sobociński Bolesław. A Note on the Generalized Continuum Hypothesis. Notre Dame Journal of Formal Logic, Vol. 3 , Pp. 274–278, and Vol. 4 , Pp. 67–79, 233–240. [REVIEW]Leslie H. Tharp - 1969 - Journal of Symbolic Logic 33 (4):632.
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  28. Bukowský L. And Příkry K.. Some Matamathematical Properties of Measurable Cardinals. Bulletin de l'Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques Et Physiques, Vol. 14 , Pp. 9–14. [REVIEW]Peter G. Hinman - 1968 - Journal of Symbolic Logic 33 (3):476.
  29. Keisler H. J. And Tarski A.. From Accessible to Inaccessible Cardinals. Fundamenta Mathematicae, Vol. 53 , Pp. 225–308. , P. 119.). [REVIEW]Azriel Lévy - 1967 - Journal of Symbolic Logic 32 (3):411.
  30. Scott Dana. Measurable Cardinals and Constructible Sets. Bulletin de l' Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques Et Physiques, Vol. 9 , Pp. 521–524. [REVIEW]Azriel Lévy - 1967 - Journal of Symbolic Logic 32 (3):410.
  31. Cohen Paul J.. The Independence of the Continuum Hypothesis. Proceedings of the National Academy of Sciences of the United States of America, Vol. 50 , Pp. 1143–1148, and Vol. 51 , Pp. 105–110. [REVIEW]William B. Easton - 1965 - Journal of Symbolic Logic 30 (3):398-403.
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  32. Tarski Alfred. Axiomatic and Algebraic Aspects of Two Theorems on Sums of Cardinals. Ebd., S. 79–104.W. Ackermann - 1950 - Journal of Symbolic Logic 14 (4):257-258.
  33. Gödel Kurt. Consistency-Proof for the Generalized Continuum-Hypothesis. Proceedings of the National Academy of Sciences, Vol. 25 , Pp. 220–224. [REVIEW]Paul Bernays - 1940 - Journal of Symbolic Logic 5 (3):117-118.
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  34. Inner Models and Large Cardinals.Ernest Schimmerling - 2003 - Bulletin of Symbolic Logic 9 (2):234-235.
  35. Israel Journal of Mathematics. Saharon Shelah and Hugh Woodin. Large Cardinals Imply That Every Reasonably Definable Set of Reals is Lebesgue Measurable. Israel Journal of Mathematics, Vol. 70 , Pp. 381–394. [REVIEW]Joan Bagaria - 2002 - Bulletin of Symbolic Logic 8 (4):543-545.
  36. Apter Arthur W.. On the Least Strongly Compact Cardinal. Israel Journal of Mathematics, Vol. 35 , Pp. 225–233.Apter Arthur W.. Measurability and Degrees of Strong Compactness. The Journal of Symbolic Logic, Vol. 46 , Pp. 249–254.Apter Arthur W.. A Note on Strong Compactness and Supercompactness. Bulletin of the London Mathematical Society, Vol. 23 , Pp. 113–115.Apter Arthur W.. On the First N Strongly Compact Cardinals. Proceedings of the American Mathematical Society, Vol. 123 , Pp. 2229–2235.Apter Arthur W. And Shelah Saharon. On the Strong Equality Between Supercompactness and Strong Compactness.. Transactions of the American Mathematical Society, Vol. 349 , Pp. 103–128.Apter Arthur W. And Shelah Saharon. Menas' Result is Best Possible. Ibid., Pp. 2007–2034.Apter Arthur W.. More on the Least Strongly Compact Cardinal. Mathematical Logic Quarterly, Vol. 43 , Pp. 427–430.Apter Arthur W.. Laver Indestructibility and the Class of Compact Cardinals. The Journal of Symbolic Logic, Vol. 63. [REVIEW]James W. Cummings - 2000 - Bulletin of Symbolic Logic 6 (1):86-89.
  37. Cardinals of English Sees.Walter Gumbley - 1938 - New Blackfriars 19 (215):83-91.
  38. Fusion and Large Cardinal Preservation.Sy-David Friedman, Radek Honzik & Lyubomyr Zdomskyy - 2013 - Annals of Pure and Applied Logic 164 (12):1247-1273.
    In this paper we introduce some fusion properties of forcing notions which guarantee that an iteration with supports of size ⩽κ not only does not collapse κ+ but also preserves the strength of κ. This provides a general theory covering the known cases of tree iterations which preserve large cardinals [3], Friedman and Halilović [5], Friedman and Honzik [6], Friedman and Magidor [8], Friedman and Zdomskyy [10], Honzik [12]).
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  39. Superstrong and Other Large Cardinals Are Never Laver Indestructible.Joan Bagaria, Joel David Hamkins, Konstantinos Tsaprounis & Toshimichi Usuba - 2016 - Archive for Mathematical Logic 55 (1-2):19-35.
  40. Equiconsistencies at Subcompact Cardinals.Itay Neeman & John Steel - 2016 - Archive for Mathematical Logic 55 (1-2):207-238.
  41. Indestructibility and Destructible Measurable Cardinals.Arthur W. Apter - 2016 - Archive for Mathematical Logic 55 (1-2):3-18.
  42. Indestructibility Properties of Remarkable Cardinals.Yong Cheng & Victoria Gitman - 2015 - Archive for Mathematical Logic 54 (7-8):961-984.
  43. Boundedness Properties of Cardinals.John L. Hickman - 1979 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 25 (31):485-486.
  44. A Flipping Characterization of Ramsey Cardinals.J. M. Henle & E. M. Kleinberg - 1978 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 24 (1-6):31-36.
  45. L-Mahlo Cardinals.Paul E. Cohen - 1974 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 20 (13-18):229-231.
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  46. On Compact Cardinals.J. L. Bell - 1974 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 20 (25-27):389-393.
  47. A Combinatorial Property of Measurable Cardinals.E. M. Kleinberg - 1974 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 20 (7):109-111.
  48. Powers of Singular Cardinals and a Strong Form of The Negation of The Generalized Continuum Hypothesis.Stephen H. Hechler - 1973 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 19 (3-6):83-84.
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  49. Some Results Connected with the Continuum Hypothesis.Frederick Bagemihl - 1959 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 5 (7-13):97-116.
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  50. Collapsing the Cardinals of HOD.James Cummings, Sy David Friedman & Mohammad Golshani - 2015 - Journal of Mathematical Logic 15 (2):1550007.
1 — 50 / 438