Results 1 to 10 of about 11,507,464 (271)
Cichoń’s maximum without large cardinals [PDF]
Journal of the European Mathematical Society, 2021 Cichoń’s diagram lists twelve cardinal characteristics (and the provable inequalities between them) associated with the ideals of null sets, meager sets, countable sets, and \sigma -compact subsets of the irrationals.
Martin Goldstern +3 more
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Small embedding characterizations for large cardinals [PDF]
Annals of Pure and Applied Logic, 2019 We show that many large cardinal notions can be characterized in terms of the existence of certain elementary embeddings between transitive set-sized structures, that map their critical point to the large cardinal in question. In particular, we provide such embedding characterizations also for several large cardinal notions for which no embedding ...
Holy, Peter +2 more
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Model theoretic characterizations of large cardinals [PDF]
Israel Journal of Mathematics, 2020 We consider compactness characterizations of large cardinals. Based on results of Benda \cite{b-sccomp}, we study compactness for omitting types in various logics. In $\bL_{ , }$, this allows us to characterize any large cardinal defined in terms of normal ultrafilters, and we also analyze second-order and sort logic.
Will Boney
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Nonregular ultrafilters and large cardinals [PDF]
Transactions of the American Mathematical Society, 1976 The relationship between the existence of nonregular ultrafilters and large cardinals in the constructible universe is studied.
Jussi Ketonen
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Large Cardinals with Forcing [PDF]
Sets and Extensions in the Twentieth Century, 2012 This chapter describes, following the historical development, the investigation of large cardinal hypotheses using the method of forcing. Large cardinal hypotheses, also regarded as strong axioms of innit y, have stimulated a vast mainstream of modern set theory, and William Mitchell’s chapter in this volume deals with their investigation through inner
A. Kanamori
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LARGE CARDINALS AS PRINCIPLES OF STRUCTURAL REFLECTION [PDF]
Bulletin of Symbolic Logic, 2021 After discussing the limitations inherent to all set-theoretic reflection principles akin to those studied by A. Lévy et. al. in the 1960s, we introduce new principles of reflection based on the general notion of Structural Reflection and argue that they
J. Bagaria
semanticscholar +1 more source
French de and en as expressions of the genitive case: a unified analysis within LFG and computational implementation in XLE [PDF]
DELTA: Documentação de Estudos em Lingüística Teórica e Aplicada, 2021 The French clitic pro-form en represents a wide range of heterogeneous constituents: de-PP complements and adjuncts, partitive objects, and prepositionless objects of cardinals.
Leonel Figueiredo de Alencar +1 more
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Forum of Mathematics, Sigma, 2023 Given an uncountable cardinal $\kappa $ , we consider the question of whether subsets of the power set of $\kappa $ that are usually constructed with the help of the axiom of choice are definable by $\Sigma _1$ -formulas that only use ...
Philipp Lücke, Sandra Müller
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Large cardinals and continuity of coordinate functionals of filter bases in Banach spaces [PDF]
Bulletin of the London Mathematical Society, 2020 Assuming the existence of certain large cardinal numbers, we prove that for every projective filter F over the set of natural numbers, F ‐bases in Banach spaces have continuous coordinate functionals.
Noé de Rancourt +2 more
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Contributions to the Theory of Large Cardinals through the Method of Forcing
Bulletin of Symbolic Logic, 2021 The dissertation under comment is a contribution to the area of Set Theory concerned with the interactions between the method of Forcing and the so-called Large Cardinal axioms. The dissertation is divided into two thematic blocks.
Alejandro Poveda
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