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

Published online by Cambridge University Press:  29 June 2016

JOAN BAGARIA  and
JOUKO VÄÄNÄNEN
JOAN BAGARIA
Affiliation:
ICREA (INSTITUCIÓ CATALANA DE RECERCA I ESTUDIS AVANÇATS) AND DEPARTAMENT DE LÒGICA, HISTÒRIA I FILOSOFIA DE LA CIÈNCIA UNIVERSITAT DE BARCELONA MONTALEGRE 6, 08001BARCELONA CATALONIA (SPAIN)E-mail:[email protected]
JOUKO VÄÄNÄNEN
Affiliation:
DEPARTMENT OF MATHEMATICS AND STATISTICS UNIVERSITY OF HELSINKIFINLAND INSTITUTE OF LOGIC, LANGUAGE AND COMPUTATION UNIVERSITY OF AMSTERDAM THE NETHERLANDSE-mail:[email protected]
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Abstract

We study some large cardinals in terms of reflection, establishing new connections between the model-theoretic and the set-theoretic approaches.

Keywords

Primary: 03E55Secondary: 03C55large cardinalsstructural reflectionsymbiosisLöwenheim–Skolem Theoremsgeneralized quantifiers
Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 2 , June 2016 , pp. 584 - 604
Copyright
Copyright © The Association for Symbolic Logic 2016 

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