LARGE CARDINALS BEYOND CHOICE

DOI10.1017/bsl.2019.28zbMath1475.03098OpenAlexW2969504820WikidataQ127357258 ScholiaQ127357258MaRDI QIDQ5240808

W. Hugh Woodin, Peter Koellner, Joan Bagaria

Publication date: 29 October 2019

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

Full work available at URL: https://doi.org/10.1017/bsl.2019.28

zbMATH Keywords

large cardinalsaxiom of choiceinner model theoryHODultimate-\(L\)

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Axiom of choice and related propositions (03E25) Other notions of set-theoretic definability (03E47)

Related Items (7)

LARGE CARDINALS AS PRINCIPLES OF STRUCTURAL REFLECTION ⋮ On -Strongly Measurable Cardinals ⋮ STEEL’S PROGRAMME: EVIDENTIAL FRAMEWORK, THE CORE AND ULTIMATE-L ⋮ Choiceless large cardinals and set‐theoretic potentialism ⋮ The cofinality of the least Berkeley cardinal and the extent of dependent choice ⋮ N-BERKELEY CARDINALS AND WEAK EXTENDER MODELS ⋮ Reinhardt cardinals and iterates of \(V\)

Cites Work

• Restrictions on forcings that change cofinalities
• Iterated Forcing and Elementary Embeddings
• SUITABLE EXTENDER MODELS I
• Elementary embeddings and infinitary combinatorics
• IN SEARCH OF ULTIMATE-LTHE 19TH MIDRASHA MATHEMATICAE LECTURES
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