NF is Consistent
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2015
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| Subjects: | |
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| _version_ | 1866916800939163648 |
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| author | Holmes, M. Randall Wilshaw, Sky |
| author_facet | Holmes, M. Randall Wilshaw, Sky |
| contents | In this paper we will present a proof of the consistency of Quine's set theory "New Foundations" (hereinafter NF), so-called after the title of the 1937 paper in which it was introduced.
This version takes the approach of building a model of tangled type theory rather than a model of the usual set theory without choice with a tangled web of cardinals; further, details of the construction are refined due to interaction with the now complete verification in Lean by the second author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1503_01406 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | NF is Consistent Holmes, M. Randall Wilshaw, Sky Logic 03E70 03E35 03B38 In this paper we will present a proof of the consistency of Quine's set theory "New Foundations" (hereinafter NF), so-called after the title of the 1937 paper in which it was introduced. This version takes the approach of building a model of tangled type theory rather than a model of the usual set theory without choice with a tangled web of cardinals; further, details of the construction are refined due to interaction with the now complete verification in Lean by the second author. |
| title | NF is Consistent |
| topic | Logic 03E70 03E35 03B38 |
| url | https://arxiv.org/abs/1503.01406 |