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Abstract: We discuss some mathematical results indicating a tension between large cardinal axioms and maximality principles such as forcing axioms and the Axiom of Choice. Topics will include the failure of the Ground Axiom in natural models, the optimality of Usuba's theorem, the analogy between large cardinal axioms and determinacy principles, and the role of forcing in theory selection. Video.

Wednesday 29.9.2021 12-14
Adrien Deloro TBA

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