Are Large Cardinal Axioms Restrictive?
| dc.contributor.author | Barton, Neil | |
| dc.date.accessioned | 2026-01-28T13:50:10Z | |
| dc.date.available | 2026-01-28T13:50:10Z | |
| dc.date.issued | 2023-10-15 | |
| dc.description.abstract | The independence phenomenon in set theory, while pervasive, can be partially addressed through the use of large cardinal axioms. A commonly assumed idea is that large cardinal axioms are species of maximality principles. In this paper I question this claim. I show that there is a kind of maximality (namely absoluteness) on which large cardinal axioms come out as restrictive relative to a formal notion of restrictiveness. Within this framework, I argue that large cardinal axioms can still play many of their usual foundational roles. | |
| dc.description.version | published | deu |
| dc.identifier.doi | 10.1093/philmat/nkad014 | |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/75969 | |
| dc.language.iso | eng | |
| dc.subject.ddc | 100 | |
| dc.title | Are Large Cardinal Axioms Restrictive? | eng |
| dc.type | JOURNAL_ARTICLE | |
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title={Are Large Cardinal Axioms Restrictive?},
year={2023},
doi={10.1093/philmat/nkad014},
number={3},
volume={31},
issn={0031-8019},
journal={Philosophia Mathematica},
pages={372--407},
author={Barton, Neil}
} | |
| kops.citation.iso690 | BARTON, Neil, 2023. Are Large Cardinal Axioms Restrictive?. In: Philosophia Mathematica. Oxford University Press (OUP). 2023, 31(3), S. 372-407. ISSN 0031-8019. eISSN 1744-6406. Verfügbar unter: doi: 10.1093/philmat/nkad014 | deu |
| kops.citation.iso690 | BARTON, Neil, 2023. Are Large Cardinal Axioms Restrictive?. In: Philosophia Mathematica. Oxford University Press (OUP). 2023, 31(3), pp. 372-407. ISSN 0031-8019. eISSN 1744-6406. Available under: doi: 10.1093/philmat/nkad014 | eng |
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