Experimental Mathematics.
The rise of the field of “experimental mathematics” poses an apparent challenge to traditional philosophical accounts of mathematics as an a priori, non-empirical endeavor. This paper surveys different attempts to characterize experimental mathematics. One suggestion is that experimental mathematics...
| Publicado en: | Erkenntnis Vol. 68; no. 3; pp. 331 - 345 |
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| Formato: | Artículo |
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Springer Nature
May2008
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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=35076115&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 35076115 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 01650106 5KZ jtl: Erkenntnis issn: 01650106 maglogo: N pubinfo: dt: May2008 vid: 68 iid: 3 pid: 237 pub: Springer Nature artinfo: ui: 35076115 10.1007/s10670-008-9109-y ppf: 331 ppct: 14 formats: fmt: @attributes: type: P size: 171KB tig: atl: Experimental Mathematics. aug: au: Baker, Alan affil: Department of Philosophy , Swarthmore College , Swarthmore 19081 USA su: Mathematics Cybernetics Statistics Electronics A priori Hypothesis sug: subj: Mathematics Cybernetics Statistics Electronics A priori Hypothesis ab: The rise of the field of “experimental mathematics” poses an apparent challenge to traditional philosophical accounts of mathematics as an a priori, non-empirical endeavor. This paper surveys different attempts to characterize experimental mathematics. One suggestion is that experimental mathematics makes essential use of electronic computers. A second suggestion is that experimental mathematics involves support being gathered for an hypothesis which is inductive rather than deductive. Each of these options turns out to be inadequate, and instead a third suggestion is considered according to which experimental mathematics involves calculating instances of some general hypothesis. The paper concludes with the examination of some philosophical implications of this characterization. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Erkenntnis is a copyright of Springer, 2008. All Rights Reserved. item: Erkenntnis holder: Springer Nature dt: @attributes: year: 2008 holdings: @attributes: islocal: N |
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