A Revealing Flaw in Colyvan's Indispensability Argument.
Mark Colyvan uses applications of mathematics to argue that mathematical entities exist. I claim that his argument is invalid based on the assumption that a certain way of thinking about applications, called 'the mapping account,' is correct. My main contention is that successful applications depend...
| Publicado en: | Philosophy of Science Vol. 71; no. 1; pp. 61 - 80 |
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| Formato: | Artículo |
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Cambridge University Press
Jan2004
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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=12447674&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 12447674 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00318248 PSC jtl: Philosophy of Science issn: 00318248 maglogo: N pubinfo: dt: Jan2004 vid: 71 iid: 1 pid: 15979 pub: Cambridge University Press artinfo: ui: 12447674 10.1086/381413 ppf: 61 ppct: 19 formats: fmt: @attributes: type: P size: 155KB tig: atl: A Revealing Flaw in Colyvan's Indispensability Argument. aug: au: Pincock, Christopher affil: Department of Philosophy, Purdue University, 100 North University Street, West Lafayette, IN, 47907-2067 su: Mathematical functions Mathematical programming Cybernetics Statistics Colyvan, Mark Mathematical mappings sug: subj: Mathematical functions Mathematical programming Cybernetics Statistics Colyvan, Mark Mathematical mappings ab: Mark Colyvan uses applications of mathematics to argue that mathematical entities exist. I claim that his argument is invalid based on the assumption that a certain way of thinking about applications, called 'the mapping account,' is correct. My main contention is that successful applications depend only on there being appropriate structural relations between physical situations and the mathematical domain. As a variety of non-realist interpretations of mathematics deliver these structural relations, indispensability arguments are invalid. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Philosophy of Science is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Philosophy of Science holder: Cambridge University Press dt: @attributes: year: 2004 holdings: @attributes: islocal: N |
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