Machine learning and the Continuum Hypothesis
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866929471671500800 |
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| author | Hart, Klaas Pieter |
| author_facet | Hart, Klaas Pieter |
| contents | We comment on a recent paper that connects certain forms of machine learning to Set Theory.
We point out that part of the set-theoretic machinery is related to a result of Kuratowski about decompositions of finite powers of sets and we show that there is no Borel measurable monotone compression function on the unit interval. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1901_04773 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Machine learning and the Continuum Hypothesis Hart, Klaas Pieter Logic General Topology 03E05 (primary) 03E15, 54B20, 54C05, 54H05 (secondary) We comment on a recent paper that connects certain forms of machine learning to Set Theory. We point out that part of the set-theoretic machinery is related to a result of Kuratowski about decompositions of finite powers of sets and we show that there is no Borel measurable monotone compression function on the unit interval. |
| title | Machine learning and the Continuum Hypothesis |
| topic | Logic General Topology 03E05 (primary) 03E15, 54B20, 54C05, 54H05 (secondary) |
| url | https://arxiv.org/abs/1901.04773 |