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math.LO2025
Model-theoretic characterizations of large cardinals (Re)visited
Will Boney, Jonathan Osinski
We characterize several large cardinal notions by model-theoretic properties of extensions of first-order logic. We show that -strong cardinals, and, as a corollary, ``Ord is…
math.LO2025
A Module-theoretic Introduction to Abstract Elementary Classes
Will Boney
The first-order model theory of modules has been studied for decades. More recently, the model theoretic study of nonelementary classes of modules--especially Abstract Elementary C…