On the concept of finitism.
At the most general level, the concept of finitism is typically characterized by saying that finitistic mathematics is that part of mathematics which does not appeal to completed infinite totalities and is endowed with some epistemological property that makes it secure or privileged. This paper argu...
| Published in: | Synthese Vol. 192; no. 8; pp. 2413 - 2437 |
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| Format: | Article |
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Springer Nature
Aug2015
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| Online Access: | View this record in EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=109574791&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 109574791 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: Aug2015 vid: 192 iid: 8 pid: 237 pub: Springer Nature artinfo: ui: 109574791 10.1007/s11229-014-0639-3 ppf: 2413 ppct: 24 formats: fmt: @attributes: type: P size: 505KB tig: atl: On the concept of finitism. aug: au: Incurvati, Luca affil: Department of Philosophy, Institute for Logic, Language and Computation, Universiteit van Amsterdam, Oude Turfmarkt 141-147 1012 GC Amsterdam The Netherlands su: Modular arithmetic Theory of knowledge Infinity (Mathematics) Intuition Intuitionistic mathematics Schemes (Algebraic geometry) sug: subj: Modular arithmetic Theory of knowledge Infinity (Mathematics) Intuition Intuitionistic mathematics Schemes (Algebraic geometry) keyword: Finitism Hilbert Infinite totality ab: At the most general level, the concept of finitism is typically characterized by saying that finitistic mathematics is that part of mathematics which does not appeal to completed infinite totalities and is endowed with some epistemological property that makes it secure or privileged. This paper argues that this characterization can in fact be sharpened in various ways, giving rise to different conceptions of finitism. The paper investigates these conceptions and shows that they sanction different portions of mathematics as finitistic. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2015. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2015 holdings: @attributes: islocal: N |
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