Show simple item record

dc.contributor.authorPease, Alison
dc.contributor.authorAberdein, Andrew
dc.date.accessioned2014-10-14T14:52:04Z
dc.date.available2014-10-14T14:52:04Z
dc.date.issued2011
dc.identifier.citationPease, A., & Aberdein, A. (2011). Five theories of reasoning: Interconnections and applications to mathematics. Logic and Logical Philosophy, 20(1-2), 7-57.en_US
dc.identifier.urihttp://hdl.handle.net/11141/333
dc.description.abstractThe last century has seen many disciplines place a greater prior-ity on understanding how people reason in a particular domain, and several illuminating theories of informal logic and argumentation have been devel-oped. Perhaps owing to their diverse backgrounds, there are several con-nections 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 argumen-tation schemes constructed by Walton et al. [54], and explore some connec-tions between, as well as within, the theories. For instance, we investigate Peirce's abduction to deal with surprising situations in mathematics, rep- resent Pollock's examples in terms of Toulmin's layout, discuss connections between Toulmin's layout and Walton's argumentation schemes, and sug-gest 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.en_US
dc.language.isoen_USen_US
dc.rightsThis published article is available in accordance with the publisher's policy. It may be subject to U.S. Copyright Law.en_US
dc.rights.urihttps://creativecommons.org/licenses/by-nd/3.0/us/en_US
dc.titleFive theories of reasoning: Interconnections and applications to mathematicsen_US
dc.typeArticleen_US
dc.identifier.doi10.12775/LLP.2011.002


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

This published article is available in accordance with the publisher's policy. It may be subject to U.S. Copyright Law.
Except where otherwise noted, this item's license is described as This published article is available in accordance with the publisher's policy. It may be subject to U.S. Copyright Law.