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Answer by Ali Enayat for Heights of well-founded parts of models of...

The answer to the question for ordinals of uncountable cofinality is provided by the following theorem, established by Magidor, Stavi, and Shelah, in their paper On the standard part of nonstandard...

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Heights of well-founded parts of models of $\mathsf{ZFC}$

Work in the theory $\mathsf{ZFC}$+"Every set is contained in some transitive model of $\mathsf{ZFC}$."My question is the following: which ordinals are the heights of the well-founded parts of models of...

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