On the verge of inconsistency: Magidor cardinals and Magidor filters
Shimon Garti, Yair Hayut, Saharon Shelah
TL;DR
This paper introduces a model-theoretic characterization of Magidor cardinals and demonstrates that Magidor filters are consistent beyond ZFC-inconsistency boundaries.
Contribution
It provides a new model-theoretic framework for understanding Magidor cardinals and shows the consistency of Magidor filters beyond ZFC limits.
Findings
Magidor cardinals characterized model-theoretically
Magidor filters are consistent beyond ZFC-inconsistency
New insights into large cardinal properties
Abstract
We introduce a model-theoretic characterization of Magidor cardinals, from which we infer that Magidor filters are beyond ZFC-inconsistency
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