14 found
Order:
  1.  1
    Uniqueness of Limit Models in Classes with Amalgamation.Rami Grossberg, Monica VanDieren & Andrés Villaveces - 2016 - Mathematical Logic Quarterly 62 (4-5):367-382.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   9 citations  
  2.  7
    Toward Categoricity for Classes with No Maximal Models.Saharon Shelah & Andrés Villaveces - 1999 - Annals of Pure and Applied Logic 97 (1-3):1-25.
    We provide here the first steps toward a Classification Theory ofElementary Classes with no maximal models, plus some mild set theoretical assumptions, when the class is categorical in some λ greater than its Löwenheim-Skolem number. We study the degree to which amalgamation may be recovered, the behaviour of non μ-splitting types. Most importantly, the existence of saturated models in a strong enough sense is proved, as a first step toward a complete solution to the o Conjecture for these classes. Further (...)
    Direct download (3 more)  
     
    Export citation  
     
    My bibliography   21 citations  
  3. Around Independence and Domination in Metric Abstract Elementary Classes: Assuming Uniqueness of Limit Models.Andrés Villaveces & Pedro Zambrano - 2014 - Mathematical Logic Quarterly 60 (3):211-227.
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography   2 citations  
  4. Heights of Models of ZFC and the Existence of End Elementary Extensions II.Andrés Villaveces - 1999 - Journal of Symbolic Logic 64 (3):1111-1124.
    The existence of End Elementary Extensions of models M of ZFC is related to the ordinal height of M, according to classical results due to Keisler, Morley and Silver. In this paper, we further investigate the connection between the height of M and the existence of End Elementary Extensions of M. In particular, we prove that the theory `ZFC + GCH + there exist measurable cardinals + all inaccessible non weakly compact cardinals are possible heights of models with no End (...)
    Direct download (7 more)  
     
    Export citation  
     
    My bibliography  
  5.  15
    Chains of End Elementary Extensions of Models of Set Theory.Andrés Villaveces - 1998 - Journal of Symbolic Logic 63 (3):1116-1136.
    Large cardinals arising from the existence of arbitrarily long end elementary extension chains over models of set theory are studied here. In particular, we show that the large cardinals obtained in this fashion (`unfoldable cardinals') lie in the boundary of the propositions consistent with `V = L' and the existence of 0 ♯ . We also provide an `embedding characterisation' of the unfoldable cardinals and study their preservation and destruction by various forcing constructions.
    Direct download (8 more)  
     
    Export citation  
     
    My bibliography   4 citations  
  6.  1
    The Small Index Property for Homogeneous Models in AEC's.Zaniar Ghadernezhad & Andrés Villaveces - 2018 - Archive for Mathematical Logic 57 (1-2):141-157.
    We prove a version of a small index property theorem for strong amalgamation classes. Our result builds on an earlier theorem by Lascar and Shelah. We then study versions of the small index property for various non-elementary classes. In particular, we obtain the small index property for quasiminimal pregeometry structures.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  7.  6
    Zalamea, Fernando. Filosofía sintética de las matemáticas contemporáneas. Bogotá: Editorial Universidad Nacional de Colombia, Colección Obra Selecta, 2009. 231 p. [REVIEW]Andrés Villaveces - 2010 - Ideas Y Valores 59 (142):174-182.
    No categories
    Direct download  
    Translate
     
     
    Export citation  
     
    My bibliography  
  8.  1
    Contents.Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen - 2015 - In Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. De Gruyter.
    Direct download  
     
    Export citation  
     
    My bibliography  
  9.  3
    Reseña de "Filosofía Sintética de Las Matemáticas Contemporáneas" de Fernando Zalamea.Andrés Villaveces - 2010 - Ideas Y Valores 59 (142):174-182.
    Direct download  
    Translate
     
     
    Export citation  
     
    My bibliography  
  10.  1
    Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics.Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen - unknown
    Direct download  
     
    Export citation  
     
    My bibliography  
  11.  6
    Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics.Åsa Hirvonen, Juha Kontinen, Roman Kossak & Andrés Villaveces (eds.) - 2015 - De Gruyter.
    Direct download  
     
    Export citation  
     
    My bibliography  
  12. A Radio Interview with Jouko Väänänen.Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen - 2015 - In Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. De Gruyter. pp. 417-422.
    No categories
    Direct download  
     
    Export citation  
     
    My bibliography  
  13. Limit Models in Metric Abstract Elementary Classes: The Categorical Case.Andrés Villaveces & Pedro Zambrano - 2016 - Mathematical Logic Quarterly 62 (4-5):319-334.
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    My bibliography  
  14. Preface – Unity and Diversity of Logic.Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen - 2015 - In Andrés Villaveces, Roman Kossak, Juha Kontinen & Åsa Hirvonen (eds.), Logic Without Borders: Essays on Set Theory, Model Theory, Philosophical Logic and Philosophy of Mathematics. De Gruyter.
    No categories
    Direct download  
     
    Export citation  
     
    My bibliography