32 found
Sort by:
  1. Brent Cody & Menachem Magidor (2014). On Supercompactness and the Continuum Function. Annals of Pure and Applied Logic 165 (2):620-630.
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  2. Menachem Magidor & Jouko Väänänen (2011). On Löwenheim–Skolem–Tarski Numbers for Extensions of First Order Logic. Journal of Mathematical Logic 11 (01):87-113.
    Direct download (4 more)  
     
    My bibliography  
     
    Export citation  
  3. Sy-David Friedman & Menachem Magidor (2009). The Number of Normal Measures. Journal of Symbolic Logic 74 (3):1069-1080.
    There have been numerous results showing that a measurable cardinal κ can carry exactly α normal measures in a model of GCH, where a is a cardinal at most κ⁺⁺. Starting with just one measurable cardinal, we have [9] (for α = 1), [10] (for α = κ⁺⁺, the maximum possible) and [1] (for α = κ⁺, after collapsing κ⁺⁺) . In addition, under stronger large cardinal hypotheses, one can handle the remaining cases: [12] (starting with a measurable cardinal of (...)
    Direct download (4 more)  
     
    My bibliography  
     
    Export citation  
  4. James Cummings, Matthew Foreman & Menachem Magidor (2006). Canonical Structure in the Universe of Set Theory: Part Two. Annals of Pure and Applied Logic 142 (1):55-75.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  5. James Cummings, Matthew Foreman & Menachem Magidor (2004). Canonical Structure in the Universe of Set Theory: Part One. Annals of Pure and Applied Logic 129 (1-3):211-243.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  6. James Cummings, Matthew Foreman & Menachem Magidor (2003). The Non-Compactness of Square. Journal of Symbolic Logic 68 (2):637-643.
    Direct download (7 more)  
     
    My bibliography  
     
    Export citation  
  7. James Cummings, Matthew Foreman & Menachem Magidor (2001). Squares, Scales and Stationary Reflection. Journal of Mathematical Logic 1 (01):35-98.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  8. James Cummings, Matthew Foreman & Menachem Magidor (2001). Scales, Squares and Reflection. Journal of Mathematical Logic 1:35-98.
     
    My bibliography  
     
    Export citation  
  9. Matthew Foreman, Menachem Magidor & Ralf-Dieter Schindler (2001). The Consistency Strength of Successive Cardinals with the Tree Property. Journal of Symbolic Logic 66 (4):1837-1847.
    If ω n has the tree property for all $2 \leq n and $2^{ , then for all X ∈ H ℵ ω and $n exists.
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  10. Daniel Lehmann, Menachem Magidor & Karl Schlechta (2001). Distance Semantics for Belief Revision. Journal of Symbolic Logic 66 (1):295-317.
    A vast and interesting family of natural semantics for belief revision is defined. Suppose one is given a distance d between any two models. One may then define the revision of a theory K by a formula α as the theory defined by the set of all those models of α that are closest, by d, to the set of models of K. This family is characterized by a set of rationality postulates that extends the AGM postulates. The new postulates (...)
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  11. Amir Leshem & Menachem Magidor (1999). The Independence of Δ1n. Journal of Symbolic Logic 64 (1):350 - 362.
    In this paper we prove the independence of δ 1 n for n ≥ 3. We show that δ 1 4 can be forced to be above any ordinal of L using set forcing. For δ 1 3 we prove that it can be forced, using set forcing, to be above any L cardinal κ such that κ is Π 1 definable without parameters in L. We then show that δ 1 3 cannot be forced by a set forcing to (...)
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  12. Amir Leshem & Menachem Magidor (1999). The Independence of $Delta^1_n$. Journal of Symbolic Logic 64 (1):350-362.
    In this paper we prove the independence of $\delta^1_n$ for n $\geq$ 3. We show that $\delta^1_4$ can be forced to be above any ordinal of L using set forcing. For $\delta^1_3$ we prove that it can be forced, using set forcing, to be above any L cardinal $\kappa$ such that $\kappa$ is $\Pi_1$ definable without parameters in L. We then show that $\delta^1_3$ cannot be forced by a set forcing to be above every cardinal of L. Finally we present (...)
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  13. Matthew Foreman & Menachem Magidor (1997). A Very Weak Square Principle. Journal of Symbolic Logic 62 (1):175-196.
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  14. Menachem Magidor & Saharon Shelah (1996). The Tree Property at Successors of Singular Cardinals. Archive for Mathematical Logic 35 (5-6):385-404.
    Assuming some large cardinals, a model of ZFC is obtained in which $\aleph_{\omega+1}$ carries no Aronszajn trees. It is also shown that if $\lambda$ is a singular limit of strongly compact cardinals, then $\lambda^+$ carries no Aronszajn trees.
    No categories
    Direct download (4 more)  
     
    My bibliography  
     
    Export citation  
  15. Arthur W. Apter & Menachem Magidor (1995). Instances of Dependent Choice and the Measurability Of. Annals of Pure and Applied Logic 74 (3):203-219.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  16. Matthew Foreman & Menachem Magidor (1995). Large Cardinals and Definable Counterexamples to the Continuum Hypothesis. Annals of Pure and Applied Logic 76 (1):47-97.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  17. Moti Gitik & Menachem Magidor (1994). Extender Based Forcings. Journal of Symbolic Logic 59 (2):445-460.
    The paper is a continuation of [The SCH revisited]. In § 1 we define a forcing with countably many nice systems. It is used, for example, to construct a model "GCH below κ, c f κ = ℵ0, and $2^\kappa > \kappa^{+\omega}$" from 0(κ) = κ+ω. In § 2 we define a triangle iteration and use it to construct a model satisfying "{μ ≤ λ∣ c f μ = ℵ0 and $pp(\mu) > \lambda\}$ is countable for some λ". The question (...)
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  18. Maxim R. Burke & Menachem Magidor (1990). Shelah's Pcf Theory and its Applications. Annals of Pure and Applied Logic 50 (3):207-254.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  19. Menachem Magidor, John W. Rosenthal, Mattiyahu Rubin & Gabriel Srour (1990). Some Highly Undecidable Lattices. Annals of Pure and Applied Logic 46 (1):41-63.
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  20. Shai Ben-David & Menachem Magidor (1986). The Weak □* is Really Weaker Than the Full □. Journal of Symbolic Logic 51 (4):1029 - 1033.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  21. Shai Ben-David & Menachem Magidor (1986). The Weak $Square^Ast$ is Really Weaker Than the Full $Square$. Journal of Symbolic Logic 51 (4):1029-1033.
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  22. Matthew Foreman, Menachem Magidor & Saharon Shelah (1986). 0♯ and Some Forcing Principles. Journal of Symbolic Logic 51 (1):39 - 46.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  23. Matthew Foreman, Menachem Magidor & Saharon Shelah (1986). $0^Sharp$ and Some Forcing Principles. [REVIEW] Journal of Symbolic Logic 51 (1):39-46.
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  24. Menachem Magidor (1984). Review: M. Gitik, All Uncountable Cardinals Can Be Singular. [REVIEW] Journal of Symbolic Logic 49 (2):662-663.
    Direct download  
     
    My bibliography  
     
    Export citation  
  25. Menachem Magidor, Saharon Shelah & Jonathan Stavi (1984). Countably Decomposable Admissible Sets. Annals of Pure and Applied Logic 26 (3):287-361.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  26. Yuri Gurevich, Menachem Magidor & Saharon Shelah (1983). The Monadic Theory of Ω12. Journal of Symbolic Logic 48 (2):387 - 398.
    Assume ZFC + "There is a weakly compact cardinal" is consistent. Then: (i) For every $S \subseteq \omega, \mathrm{ZFC} +$ "S and the monadic theory of ω 2 are recursive each in the other" is consistent; and (ii) ZFC + "The full second-order theory of ω 2 is interpretable in the monadic theory of ω 2 " is consistent.
    Direct download (3 more)  
     
    My bibliography  
     
    Export citation  
  27. Yuri Gurevich, Menachem Magidor & Saharon Shelah (1983). The Monadic Theory of $Omega^1_2$. Journal of Symbolic Logic 48 (2):387-398.
    Assume ZFC + "There is a weakly compact cardinal" is consistent. Then: (i) For every $S \subseteq \omega, \mathrm{ZFC} +$ "$S$ and the monadic theory of $\omega_2$ are recursive each in the other" is consistent; and (ii) ZFC + "The full second-order theory of $\omega_2$ is interpretable in the monadic theory of $\omega_2$" is consistent.
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  28. Menachem Magidor, Saharon Shelah & Jonathan Stavi (1983). On the Standard Part of Nonstandard Models of Set Theory. Journal of Symbolic Logic 48 (1):33-38.
    We characterize the ordinals α of uncountable cofinality such that α is the standard part of a nonstandard model of ZFC (or equivalently KP).
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  29. Menachem Magidor (1982). Reflecting Stationary Sets. Journal of Symbolic Logic 47 (4):755-771.
    We prove that the statement "For every pair A, B, stationary subsets of ω 2 , composed of points of cofinality ω, there exists an ordinal α such that both A ∩ α and $B \bigcap \alpha$ are stationary subsets of α" is equiconsistent with the existence of weakly compact cardinal. (This completes results of Baumgartner and Harrington and Shelah.) We also prove, assuming the existence of infinitely many supercompact cardinals, the statement "Every stationary subset of ω ω + 1 (...)
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  30. Menachem Magidor (1977). Chang's Conjecture and Powers of Singular Cardinals. Journal of Symbolic Logic 42 (2):272-276.
    Direct download (6 more)  
     
    My bibliography  
     
    Export citation  
  31. Menachem Magidor (1976). How Large is the First Strongly Compact Cardinal? Or a Study on Identity Crises. Annals of Mathematical Logic 10 (1):33-57.
    No categories
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation  
  32. Menachem Magidor (1974). Review: Jack H. Silver, Measurable Cardinals and $Deltafrac{1}{3}$ Well-Orderings. [REVIEW] Journal of Symbolic Logic 39 (2):330-331.
    Direct download (2 more)  
     
    My bibliography  
     
    Export citation