Séminaires : Séminaire de Logique Lyon-Paris

Equipe(s) : lm,
Responsables :S. Anscombe, O. Finkel, A. Khélif, S. Rideau, T. Tsankov, A. Vignati
Email des responsables :
Salle : Contacter Silvain Rideau ou Alessandro Vignati
Adresse :

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Orateur(s) Joan Bagaria - ICREA,
Titre Symmetry and Self-Similarity in the Higher Infinite
Horaire15:10 à 16:10
RésumeThe Higher Infinite is the realm of the Large Cardinals, namely very large infinite cardinal numbers with strong combinatorial properties and whose existence cannot be proved from the standard Zermelo-Fraenkel axioms of set theory with Choice (ZFC). Large cardinal axioms of set theory assert the existence of such cardinals, which form a hierarchy that measures the consistency strength of mathematical theories. In this talk we will present some results, some old as well as some recent ones, that point to a unified view of the large cardinal hierarchy in terms of symmetry and self-similarity of the set-theoretic universe.
SalleContacter Silvain Rideau ou Alessandro Vignati