Internalism and the Determinacy of Mathematics.
A major challenge in the philosophy of mathematics is to explain how mathematical language can pick out unique structures and acquire determinate content. In recent work, Button and Walsh have introduced a view they call 'internalism', according to which mathematical content is explained by internal...
| Publicado en: | Mind (0026-4423) Vol. 132; no. 528; pp. 1028 - 1053 |
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| Autores principales: | , |
| Formato: | Artículo |
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Oxford University Press / USA
Oct2023
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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=173808562&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 173808562 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00264423 MND jtl: Mind (0026-4423) issn: 00264423 maglogo: N pubinfo: dt: Oct2023 vid: 132 iid: 528 pid: 622 pub: Oxford University Press / USA artinfo: ui: 173808562 10.1093/mind/fzac073 ppf: 1028 ppct: 25 formats: fmt: – @attributes: type: T – @attributes: type: P size: 890KB tig: atl: Internalism and the Determinacy of Mathematics. aug: au: Picollo, Lavinia Waxman, Daniel affil: National University of Singapore , Singapore su: Philosophy of mathematics Internalism (Theory of knowledge) Logic Discourse Structuralism sug: subj: Philosophy of mathematics Internalism (Theory of knowledge) Logic Discourse Structuralism ab: A major challenge in the philosophy of mathematics is to explain how mathematical language can pick out unique structures and acquire determinate content. In recent work, Button and Walsh have introduced a view they call 'internalism', according to which mathematical content is explained by internal categoricity results formulated and proven in second-order logic. In this paper, we critically examine the internalist response to the challenge and discuss the philosophical significance of internal categoricity results. Surprisingly, as we argue, while internalism arguably explains how we pick out unique mathematical structures, this does not suffice to account for the determinacy of mathematical discourse. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: © 2019 Mind Association. item: Mind (0026-4423) holder: Oxford University Press / USA dt: @attributes: year: 2023 holdings: @attributes: islocal: N |
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