Intuition in Mathematics: from Racism to Pluralism.
In the nineteenth and twentieth centuries many mathematicians referred to intuition as the indispensable research tool for obtaining new results. In this essay we will analyse a group of mathematicians (Felix Klein, Henri Poincaré, Ludwig Bieberbach, Arend Heyting) who interacted with Luitzen Egbert...
| Published in: | Philosophia Vol. 50; no. 3; pp. 1055 - 1092 |
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| Format: | Article |
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Springer Nature
Jul2022
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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=158238230&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 158238230 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00483893 1VPF jtl: Philosophia issn: 00483893 maglogo: N pubinfo: dt: Jul2022 vid: 50 iid: 3 pid: 237 pub: Springer Nature artinfo: ui: 158238230 10.1007/s11406-021-00456-x ppf: 1055 ppct: 37 formats: fmt: – @attributes: type: T – @attributes: type: P size: 823KB tig: atl: Intuition in Mathematics: from Racism to Pluralism. aug: au: Franchella, Miriam affil: Dipartimento Di Studi Storici, Università Degli Studi Di Milano, Via Festa del Perdono 7, 20122, Milano, MI, Italy su: Mathematicians Intuition Racism Pluralism Mathematics sug: subj: Mathematicians Intuition Racism Pluralism Mathematics keyword: Foundation of mathematics History of mathematics Logic Philosophy of mathematics ab: In the nineteenth and twentieth centuries many mathematicians referred to intuition as the indispensable research tool for obtaining new results. In this essay we will analyse a group of mathematicians (Felix Klein, Henri Poincaré, Ludwig Bieberbach, Arend Heyting) who interacted with Luitzen Egbertus Jan Brouwer (the father of the intuitionist foundational school) in order to compare their conceptions of intuition. We will see how to the same word "intuition" (in German Anschauung) very different meanings corresponded: they varied from geometrical vision, to a unitary view of a demonstration, to the perception of time, to the faculty (shared by everybody) of considering concepts that habitually occur in our thinking separately. Furthermore, we will discover that these different meanings had a philosophical, very relevant counterside: they passed from a racial characterization of mathematics to a pluralistic view of it. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Philosophia is a copyright of Springer, 2022. All Rights Reserved. item: Philosophia holder: Springer Nature dt: @attributes: year: 2022 holdings: @attributes: islocal: N |
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