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ON THE SYMBIOSIS BETWEEN MODEL-THEORETIC AND SET-THEORETIC PROPERTIES OF LARGE CARDINALS

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Publication:3188331
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DOI10.1017/jsl.2015.60zbMath1436.03265OpenAlexW2461540875MaRDI QIDQ3188331

Jouko Väänänen, Joan Bagaria

Publication date: 19 August 2016

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://pure.uva.nl/ws/files/17242265/on_the_symbiosis_between_modeltheoretic_and_settheoretic_properties_of_large_cardinals.pdf


zbMATH Keywords

large cardinalsgeneralized quantifiersstructural reflectionsymbiosisLöwenheim-Skolem theorems


Mathematics Subject Classification ID

Large cardinals (03E55) Set-theoretic model theory (03C55)


Related Items

LARGE CARDINALS AS PRINCIPLES OF STRUCTURAL REFLECTION ⋮ Structural reflection, shrewd cardinals and the size of the continuum ⋮ Model theoretic characterizations of large cardinals ⋮ Huge reflection



Cites Work

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  • \(C ^{(n)}\)-cardinals
  • On the role of supercompact and extendible cardinals in logic
  • ON LÖWENHEIM–SKOLEM–TARSKI NUMBERS FOR EXTENSIONS OF FIRST ORDER LOGIC
  • δ-Logics and generalized quantifiers
  • Models with second order properties II. Trees with no undefined branches
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