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  1. Structural reflection, shrewd cardinals and the size of the continuum.Philipp Lücke - 2022 - Journal of Mathematical Logic 22 (2).
    Journal of Mathematical Logic, Volume 22, Issue 02, August 2022. 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 [math] introduced by Bagaria and Väänänen. Our results isolate a narrow interval in the large cardinal hierarchy that is bounded from below by total indescribability and from above by subtleness, (...)
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  • Huge reflection.Joan Bagaria & Philipp Lücke - 2023 - Annals of Pure and Applied Logic 174 (1):103171.
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