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math.LO2021
Large cardinals as principles of Structural Reflection
Joan Bagaria
After discussing the limitations inherent to all set-theoretic reflection principles akin to those studied by A. Lévy et. al. in the 1960's, we introduce new principles of reflecti…
math.LO2021
Huge Reflection
Joan Bagaria, Philipp Lücke
We study Structural Reflection beyond Vopěnka's Principle, at the level of almost-huge cardinals and higher, up to rank-into-rank embeddings. We identify and classify new large car…