Building Models of Determinacy from Below
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912198930989056 |
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| author | Kasum, Obrad Sargsyan, Grigor |
| author_facet | Kasum, Obrad Sargsyan, Grigor |
| contents | We present an $L$-like construction that produces the minimal model of $\mathsf{AD}_\mathbb{R}+$"$Θ$ is regular". In fact, our construction can produce any model of $\mathsf{AD}^++\mathsf{AD}_\mathbb{R}+V=L(P(\mathbb{R}))$ in which there is no hod mouse with a measurable limit of Woodins. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07156 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Building Models of Determinacy from Below Kasum, Obrad Sargsyan, Grigor Logic 03E60 (Primary) 03E15, 03E45 (Secondary) We present an $L$-like construction that produces the minimal model of $\mathsf{AD}_\mathbb{R}+$"$Θ$ is regular". In fact, our construction can produce any model of $\mathsf{AD}^++\mathsf{AD}_\mathbb{R}+V=L(P(\mathbb{R}))$ in which there is no hod mouse with a measurable limit of Woodins. |
| title | Building Models of Determinacy from Below |
| topic | Logic 03E60 (Primary) 03E15, 03E45 (Secondary) |
| url | https://arxiv.org/abs/2409.07156 |