Higher arithmetic on the ordinals
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916913201807360 |
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| author | Ducourtial, Adrian |
| author_facet | Ducourtial, Adrian |
| contents | We motivate and study an infinite sequence of binary operations on the ordinal numbers, extending the standard arithmetic on the ordinals to higher degrees of iteration. Connections to the hyperoperations on the natural numbers are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_13334 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher arithmetic on the ordinals Ducourtial, Adrian Logic 03E10 We motivate and study an infinite sequence of binary operations on the ordinal numbers, extending the standard arithmetic on the ordinals to higher degrees of iteration. Connections to the hyperoperations on the natural numbers are discussed. |
| title | Higher arithmetic on the ordinals |
| topic | Logic 03E10 |
| url | https://arxiv.org/abs/2508.13334 |