Upward Löwenheim-Skolem-Tarski numbers for abstract logics

Annals of Pure and Applied Logic 176 (8):103583 (2025)
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C(n)-cardinals.Joan Bagaria - 2012 - Archive for Mathematical Logic 51 (3-4):213-240.
Tall cardinals.Joel D. Hamkins - 2009 - Mathematical Logic Quarterly 55 (1):68-86.
Small forcing makes any cardinal superdestructible.Joel Hamkins - 1998 - Journal of Symbolic Logic 63 (1):51-58.

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