Hanf numbers for Extendibility and related phenomena

DOI10.1007/S00153-021-00796-1arXiv2111.01704MaRDI QIDQ6381977

Publication date: 2 November 2021

Abstract: This paper contains portions of Baldwin's talk at the Set Theory and Model Theory Conference (Institute for Research in Fundamental Sciences, Tehran, October 2015) and a detailed proof that in a suitable extension of ZFC, there is a complete sentence of

L_{o m e g a_{1}, o m e g a}

that has maximal models in cardinals cofinal in the first measurable cardinal and, of course, never again.

Mathematics Subject Classification ID

Mathematical logic and foundations (03-XX)

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