The Uses of Argument in Mathematics.
Stephen Toulmin once observed that 'it has never been customary for philosophers to pay much attention to the rhetoric of mathematical debate' [Toulmin et al., 1979, An Introduction to Reasoning, Macmillan, London, p. 89]. Might the application of Toulmin's layout of arguments to mathematics remedy...
| Publicado en: | Argumentation Vol. 19; no. 3; pp. 287 - 302 |
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| Formato: | Artículo |
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Springer Nature
2005
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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=19870804&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 19870804 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 0920427X L8J jtl: Argumentation issn: 0920427X maglogo: N pubinfo: dt: 2005 vid: 19 iid: 3 pid: 237 pub: Springer Nature artinfo: ui: 19870804 10.1007/s10503-005-4417-8 ppf: 287 ppct: 15 formats: tig: atl: The Uses of Argument in Mathematics. aug: au: Aberdein, Andrew affil: Humanities and Communication, Florida Institute of Technology, 150 West University Blvd, Melbourne, Florida 32901-6975 USA. su: Philosophy of mathematics Toulmin, Stephen, 1922-2009 Mathematical logic Euclidean algorithm Mathematical analysis Mathematics terminology Mathematical models Proof theory Question (Logic) sug: subj: Philosophy of mathematics Toulmin, Stephen, 1922-2009 Mathematical logic Euclidean algorithm Mathematical analysis Mathematics terminology Mathematical models Proof theory Question (Logic) keyword: Euclid mathematical argumentation proof rebuttal Stephen Toulmin undercutter ab: Stephen Toulmin once observed that 'it has never been customary for philosophers to pay much attention to the rhetoric of mathematical debate' [Toulmin et al., 1979, An Introduction to Reasoning, Macmillan, London, p. 89]. Might the application of Toulmin's layout of arguments to mathematics remedy this oversight? Toulmin's critics fault the layout as requiring so much abstraction as to permit incompatible reconstructions. Mathematical proofs may indeed be represented by fundamentally distinct layouts. However, cases of genuine conflict characteristically reflect an underlying disagreement about the nature of the proof in question. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2005 holdings: @attributes: islocal: N |
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