C.S. Peirce on Mathematical Practice: Objectivity and the Community of Inquirers.
What understanding of mathematical objectivity is promoted by Peirce's pragmatism? Can Peirce's theory help us to further comprehend the role of intersubjectivity in mathematics? This paper aims to answer such questions, with special reference to recent debates on mathematical practice, where Peirce...
| Publicado en: | Topoi: An International Review of Philosophy Vol. 42; no. 1; pp. 221 - 234 |
|---|---|
| Autor principal: | |
| Formato: | Artículo |
| Publicado: |
Springer Nature
Feb2023
|
| Materias: | |
| 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=162113274&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 162113274 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 01677411 NM2 jtl: Topoi: An International Review of Philosophy issn: 01677411 maglogo: N pubinfo: dt: Feb2023 vid: 42 iid: 1 pid: 237 pub: Springer Nature artinfo: ui: 162113274 10.1007/s11245-022-09857-3 ppf: 221 ppct: 13 formats: fmt: – @attributes: type: T – @attributes: type: P size: 913KB tig: atl: C.S. Peirce on Mathematical Practice: Objectivity and the Community of Inquirers. aug: au: Brioschi, Maria Regina affil: Department of Philosophy "Piero Martinetti", University of Milan, Milan, Italy su: Intersubjectivity Philosophy of mathematics Practice (Philosophy) Realism Objectivity sug: subj: Intersubjectivity Philosophy of mathematics Practice (Philosophy) Realism Objectivity keyword: Mathematical Practice Peirce Pragmatism ab: What understanding of mathematical objectivity is promoted by Peirce's pragmatism? Can Peirce's theory help us to further comprehend the role of intersubjectivity in mathematics? This paper aims to answer such questions, with special reference to recent debates on mathematical practice, where Peirce is often quoted, although without a detailed scrutiny of his theses. In particular, the paper investigates the role of intersubjectivity in the constitution of mathematical objects according to Peirce. Generally speaking, this represents one of the key issues for the philosophy of mathematical practice, whereas – with regard to Peirce – these two aspects (intersubjectivity and objectivity) have been studied for a long time, but mostly as unrelated topics. To reconstruct the connection between Peirce's reflection on intersubjectivity and the objectivity of mathematical theories, the paper is divided into three parts: (1) the first part introduces Peirce's view of mathematics; (2) the second analyzes his peculiar "pragmatist realism," which overcomes common dichotomies in the philosophy of mathematics; (3) the third illustrates the role that Peirce attributes to intersubjectivity in science, and investigates to what extent the intersubjective dimension is also essential in mathematics. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Topoi: An International Review of Philosophy is a copyright of Springer, 2023. All Rights Reserved. item: Topoi: An International Review of Philosophy holder: Springer Nature dt: @attributes: year: 2023 holdings: @attributes: islocal: N |
|---|