Recursive Analogues of Shrewdness and Subtlety, with Applications to Fine Structure
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929412312662016 |
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| author | Massmann, Jayde Sylvie |
| author_facet | Massmann, Jayde Sylvie |
| contents | We share both recent and older, well-known results regarding the notions of stable ordinals and shrewd cardinals. We then argue that $Σ_2$-nonprojectible ordinals may be considered as recursive analogues to subtle cardinals, a highly combinatorial type of cardinal related to Jensen's fine structure, due to the latter possessing a characterisation in terms of shrewdnesss. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15818 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Recursive Analogues of Shrewdness and Subtlety, with Applications to Fine Structure Massmann, Jayde Sylvie Logic 03E55 (Primary) 03E10, 03D60 (Secondary) We share both recent and older, well-known results regarding the notions of stable ordinals and shrewd cardinals. We then argue that $Σ_2$-nonprojectible ordinals may be considered as recursive analogues to subtle cardinals, a highly combinatorial type of cardinal related to Jensen's fine structure, due to the latter possessing a characterisation in terms of shrewdnesss. |
| title | Recursive Analogues of Shrewdness and Subtlety, with Applications to Fine Structure |
| topic | Logic 03E55 (Primary) 03E10, 03D60 (Secondary) |
| url | https://arxiv.org/abs/2312.15818 |