Monoidal Symmetric Models
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929437995433984 |
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| author | Basak, Dianthe |
| author_facet | Basak, Dianthe |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_18330 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Monoidal Symmetric Models Basak, Dianthe Logic 03E55 (Primary) 03E25, 03E45 (Secondary) 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. |
| title | Monoidal Symmetric Models |
| topic | Logic 03E55 (Primary) 03E25, 03E45 (Secondary) |
| url | https://arxiv.org/abs/2407.18330 |