WHAT IS DIAGRAMMATIC REASONING IN MATHEMATICS?
In recent years, epistemological issues connected with the use of diagrams and visualization in mathematics have been a subject of increasing interest. In particular, it is open to dispute what role diagrams play in justifying mathematical statements. One of the issues that may appear in this contex...
| Publicado en: | Logic & Logical Philosophy Vol. 27; no. 4; pp. 567 - 582 |
|---|---|
| Autor principal: | |
| Formato: | Artículo |
| Publicado: |
Logic & Logical Philosophy
Dec2018
|
| 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=133165897&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 133165897 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 14253305 DS9 jtl: Logic & Logical Philosophy issn: 14253305 maglogo: N pubinfo: dt: Dec2018 vid: 27 iid: 4 pid: 42904 pub: Logic & Logical Philosophy artinfo: ui: 133165897 10.12775/LLP.2018.001 ppf: 567 ppct: 15 formats: fmt: @attributes: type: P size: 2MB tig: atl: WHAT IS DIAGRAMMATIC REASONING IN MATHEMATICS? aug: au: Sochański, Michał su: Reasoning Mathematical analysis Visualization Mathematical models Modal logic sug: subj: Reasoning Mathematical analysis Visualization Mathematical models Modal logic keyword: diagrammatic reasoning philosophy of mathematics ab: In recent years, epistemological issues connected with the use of diagrams and visualization in mathematics have been a subject of increasing interest. In particular, it is open to dispute what role diagrams play in justifying mathematical statements. One of the issues that may appear in this context is: what is the character of reasoning that relies in some way on a diagram or visualization and in what way is it distinct from other types of reasoning in mathematics? In this paper it is proposed to distinguish between several ways of using visualization or diagrams in mathematics, each of which could be connected with a different concept of diagrammatic/visual reasoning. Main differences between those types of reasoning are also hinted at. A distinction between visual (diagrammatic) reasoning and visual (diagrammatic) thinking is also considered. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Logic & Logical Philosophy is the property of Logic & Logical Philosophy and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Logic & Logical Philosophy holder: Logic & Logical Philosophy dt: @attributes: year: 2018 holdings: @attributes: islocal: N |
|---|