Wittgenstein on Cantor’s Proof.
This paper has two goals. First, we reconstruct Wittgenstein’s views on what counts as a legitimate irrational – since, as he repeatedly points out, and in agreement with mathematicians such as Emile Borel, not just every infinite string of digits qualifies as one. Once his conception (‘full-blooded...
| Publicado en: | Synthese Vol. 206; no. 3; pp. 1 - 25 |
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| Autores principales: | , |
| Formato: | Artículo |
| Publicado: |
Springer Nature
Sep2025
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=187655662&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 187655662 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: Sep2025 vid: 206 iid: 3 pid: 237 pub: Springer Nature artinfo: ui: 187655662 10.1007/s11229-025-05238-6 ppf: 1 ppct: 24 formats: fmt: – @attributes: type: T – @attributes: type: P size: 1.1MB tig: atl: Wittgenstein on Cantor’s Proof. aug: au: Bangu, Sorin Schatz, Jeffrey affil: https://ror.org/03zga2b32 University of Bergen, Bergen, Norway https://ror.org/03v76x132 Yale University, New Haven, USA sug: keyword: Cantor Later Wittgenstein Mathematics Set theory ab: This paper has two goals. First, we reconstruct Wittgenstein’s views on what counts as a legitimate irrational – since, as he repeatedly points out, and in agreement with mathematicians such as Emile Borel, not just every infinite string of digits qualifies as one. Once his conception (‘full-blooded intensionalism’) is sketched out, and its specificity is highlighted by comparing it with two other cognate views (‘extensionalism’ and ‘quasi-intensionalism’), our second objective is to examine how his type of intensionalism impacts his attitude towards Cantor’s theorem. In this regard, the more general claim we argue for is that, despite appearances to the contrary, Wittgenstein was not a revisionist about set-theoretical practice. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2025. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2025 holdings: @attributes: islocal: N |
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