Monoidal Symmetric Models

Dianthe Basak

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arXiv · 2407.18330

Monoidal Symmetric Models

Dianthe Basak

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Abstract

We develop a new method of interpreting large cardinal axioms as giving rise to topological symmetries of the universe of sets, similar to the construction of Fraenkel-Mostowski-Specker models. This allows us to define a "symmetric" inner model construction. In this vein, we use Fraenkel-Mostowski-Specker type stabiliser arguments to deduce the Kunen inconsistency, as well as resolving an open problem of Rogers.

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Dianthe Basak. 2024-07-25. Monoidal Symmetric Models. https://arxiv.org/abs/2407.18330

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