Generic at

Mathematical Logic Quarterly 64 (1-2):118-132 (2018)
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Abstract

In this paper we introduce a generic large cardinal akin to, together with the consequences of being such a generic large cardinal. In this case is Jónsson, and in a choiceless inner model many properties hold that are in contrast with pcf theory in.

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References found in this work

Suitable extender models I.W. Hugh Woodin - 2010 - Journal of Mathematical Logic 10 (1):101-339.
Suitable extender models II: Beyond ω-huge.W. Hugh Woodin - 2011 - Journal of Mathematical Logic 11 (2):115-436.
Rank-into-rank hypotheses and the failure of GCH.Vincenzo Dimonte & Sy-David Friedman - 2014 - Archive for Mathematical Logic 53 (3-4):351-366.
Inverse limit reflection and the structure of L.Scott S. Cramer - 2015 - Journal of Mathematical Logic 15 (1):1550001.
Reflection of elementary embedding axioms on the L[Vλ+1] hierarchy.Richard Laver - 2001 - Annals of Pure and Applied Logic 107 (1-3):227-238.

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