NF is Consistent
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...
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| creator | Holmes, M. Randall Wilshaw, Sky |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.1503.01406 |
| format | Article |
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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.</description><identifier>DOI: 10.48550/arxiv.1503.01406</identifier><language>eng</language><subject>Mathematics - Logic</subject><creationdate>2015-03</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1503.01406$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1503.01406$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Holmes, M. Randall</creatorcontrib><creatorcontrib>Wilshaw, Sky</creatorcontrib><title>NF is Consistent</title><description>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.</description><subject>Mathematics - Logic</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2015</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotzs0KgkAYheHZtAgL2rbKG9BmnP9lSFYgtXEv39h8IJSFI1F3H1qrw7s5PISsGU2FkZJuoX-3r5RJylPKBFVzsjoXcRvi_NGFNgy-GxZkhnALfvnfiFTFvsqPSXk5nPJdmYDSKnHaCK_AI1hqtfGMwVjac0TpNKomazxayi1DkVkD18ahcJlW6CSVyCOy-d1OpPrZt3foP_VIqyca_wKBODKZ</recordid><startdate>20150304</startdate><enddate>20150304</enddate><creator>Holmes, M. Randall</creator><creator>Wilshaw, Sky</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20150304</creationdate><title>NF is Consistent</title><author>Holmes, M. Randall ; Wilshaw, Sky</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a676-b784e6aefa90978e11a6aef7e3ff5b7f6c2cef90391f4298adcbf4b276fb505f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2015</creationdate><topic>Mathematics - Logic</topic><toplevel>online_resources</toplevel><creatorcontrib>Holmes, M. Randall</creatorcontrib><creatorcontrib>Wilshaw, Sky</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Holmes, M. Randall</au><au>Wilshaw, Sky</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>NF is Consistent</atitle><date>2015-03-04</date><risdate>2015</risdate><abstract>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.</abstract><doi>10.48550/arxiv.1503.01406</doi><oa>free_for_read</oa></addata></record> |
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| identifier | DOI: 10.48550/arxiv.1503.01406 |
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| source | arXiv.org |
| subjects | Mathematics - Logic |
| title | NF is Consistent |
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