English

Monoidal Symmetric Models

Logic 2024-07-29 v1

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.

Keywords

Cite

@article{arxiv.2407.18330,
  title  = {Monoidal Symmetric Models},
  author = {Dianthe Basak},
  journal= {arXiv preprint arXiv:2407.18330},
  year   = {2024}
}

Comments

11 pages, 0 figures

R2 v1 2026-06-28T17:53:58.019Z