The Ordering Principle and Dependent Choice
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866914252757925888 |
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| author | Holy, Peter Schilhan, Jonathan |
| author_facet | Holy, Peter Schilhan, Jonathan |
| contents | We introduce finite support iterations of symmetric systems, and use them to provide a strongly modernized proof of David Pincus' classical result that the axiom of dependent choice is independent over ZF with the ordering principle together with a failure of the axiom of choice. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02744 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Ordering Principle and Dependent Choice Holy, Peter Schilhan, Jonathan Logic 03E25, 03E35, 06A05 We introduce finite support iterations of symmetric systems, and use them to provide a strongly modernized proof of David Pincus' classical result that the axiom of dependent choice is independent over ZF with the ordering principle together with a failure of the axiom of choice. |
| title | The Ordering Principle and Dependent Choice |
| topic | Logic 03E25, 03E35, 06A05 |
| url | https://arxiv.org/abs/2504.02744 |