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Structural reflection, shrewd cardinals and the size of the continuum

Structural reflection, shrewd cardinals and the size of the continuum

Motivated by results of Bagaria, Magidor and Väänänen, we study characterizations of large cardinal properties through reflection principles for classes of structures. More specifically, we aim to characterize notions from the lower end of the large cardinal hierarchy through the principle [Formula: see text] introduced by Bagaria and Väänänen. Our …