FIVE THEORIES OF REASONING: Interconnections and applications to mathematics.
The last century has seen many disciplines place a greater priority on understanding how people reason in a particular domain, and several illuminating theories of informal logic and argumentation have been developed. Perhaps owing to their diverse backgrounds, there are several connections and over...
| Publicado en: | Logic & Logical Philosophy Vol. 20; no. 1/2; pp. 7 - 58 |
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| Formato: | Artículo |
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Logic & Logical Philosophy
2011
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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=63030880&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 63030880 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 14253305 DS9 jtl: Logic & Logical Philosophy issn: 14253305 maglogo: N pubinfo: dt: 2011 vid: 20 iid: 1/2 pid: 42904 pub: Logic & Logical Philosophy artinfo: ui: 63030880 ppf: 7 ppct: 51 formats: fmt: @attributes: type: P size: 429KB tig: atl: FIVE THEORIES OF REASONING: Interconnections and applications to mathematics. aug: au: Pease, Alison Aberdein, Andrew affil: Centre for Intelligent Systems and their Applications Informatics Forum University of Edinburgh 8 Crichton Street Edinburgh, EH8 9AB Department of Humanities and Communication Florida Institute of Technology 150 West University Blvd Melbourne, Florida 32901-6975, U.S.A. su: Philosophy of mathematics Logic Cybernetics Lakatos, Imre, 1922-1974 Statistics sug: subj: Philosophy of mathematics Logic Cybernetics Lakatos, Imre, 1922-1974 Statistics keyword: argumentation informal reasoning Lakatos mathematics ab: The last century has seen many disciplines place a greater priority on understanding how people reason in a particular domain, and several illuminating theories of informal logic and argumentation have been developed. Perhaps owing to their diverse backgrounds, there are several connections and overlapping ideas between the theories, which appear to have been overlooked. We focus on Peirce's development of abductive reasoning [39], Toulmin's argumentation layout [52], Lakatos's theory of reasoning in mathematics [23], Pollock's notions of counterexample [44], and argumentation schemes constructed by Walton et al. [54], and explore some connections between, as well as within, the theories. For instance, we investigate Peirce's abduction to deal with surprising situations in mathematics, represent Pollock's examples in terms of Toulmin's layout, discuss connections between Toulmin's layout and Walton's argumentation schemes, and suggest new argumentation schemes to cover the sort of reasoning that Lakatos describes, in which arguments may be accepted as faulty, but revised, rather than being accepted or rejected. We also consider how such theories may apply to reasoning in mathematics: in particular, we aim to build on ideas such as Dove's [13], which help to show ways in which the work of Lakatos fits into the informal reasoning community. 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: 2011 holdings: @attributes: islocal: N |
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