Intellectual humility in mathematics.
In this paper I explore how intellectual humility manifests in mathematical practices. To do this I employ accounts of this virtue as developed by virtue epistemologists in three case studies of mathematical activity. As a contribution to a Topical Collection on virtue theory of mathematical practic...
| Published in: | Synthese Vol. 199; no. 3/4; pp. 5571 - 5602 |
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| Format: | Article |
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Springer Nature
Dec2021
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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=154096694&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 154096694 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: Dec2021 vid: 199 iid: 3/4 pid: 237 pub: Springer Nature artinfo: ui: 154096694 10.1007/s11229-021-03037-3 ppf: 5571 ppct: 31 formats: fmt: – @attributes: type: T – @attributes: type: P size: 739KB tig: atl: Intellectual humility in mathematics. aug: au: Rittberg, Colin Jakob affil: Logic and Philosophy of the Cognitive Sciences, Vrije Universiteit Amsterdam, Amsterdam, The Netherlands su: Humility Mathematical analysis Mathematics Virtues Virtue sug: subj: Humility Mathematical analysis Mathematics Virtues Virtue keyword: Abc-conjecture Erdős–Selberg dispute Multiverse logic Philosophy of mathematical practices Virtue epistemology ab: In this paper I explore how intellectual humility manifests in mathematical practices. To do this I employ accounts of this virtue as developed by virtue epistemologists in three case studies of mathematical activity. As a contribution to a Topical Collection on virtue theory of mathematical practices this paper explores in how far existing virtue-theoretic frameworks can be applied to a philosophical analysis of mathematical practices. I argue that the individual accounts of intellectual humility are successful at tracking some manifestations of this virtue in mathematical practices and fail to track others. There are two upshots to this. First, the accounts of the intellectual virtues provided by virtue epistemologists are insightful for the development of a virtue theory of mathematical practices but require adjustments in some cases. Second, the case studies reveal dimensions of intellectual humility virtue epistemologists have thus far overlooked in their theoretical reflections. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2021. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2021 holdings: @attributes: islocal: N |
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