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Generic I 0 at ℵ ω
Author(s) -
Dimonte Vincenzo
Publication year - 2018
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.201700058
Subject(s) - mathematics , contrast (vision) , mathematical economics , regular cardinal , calculus (dental) , pure mathematics , artificial intelligence , computer science , medicine , dentistry
In this paper we introduce a generic large cardinal akin to I 0 , together with the consequences of ℵ ω being such a generic large cardinal. In this case ℵ ω is Jónsson, and in a choiceless inner model many properties hold that are in contrast with pcf theory in ZFC .