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A Simple Approach Towards Recapturing Consistent Theories In Paraconsistent Settings

Citation

Beall, Jc, A Simple Approach Towards Recapturing Consistent Theories In Paraconsistent Settings, Review of Symbolic Logic, 6, (4) pp. 1-10. ISSN 1755-0203 (2013) [Refereed Article]


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Copyright Statement

Copyright 2013 Association for Symbolic Logic

DOI: doi:10.1017/S1755020313000208

Abstract

Abstract. I believe that, for reasons elaborated elsewhere (Beall, 2009; Priest, 2006a, 2006b), the logic LP (Asenjo, 1966; Asenjo & Tamburino, 1975; Priest, 1979) is roughly right as far as logic goes.1 But logic cannot go everywhere; we need to provide nonlogical axioms to specify our (axiomatic) theories. This is uncontroversial, but it has also been the source of discomfort forLP-based theorists, particularly with respect to true mathematical theories which we take to be consistent. My example, throughout, is arithmetic; but the more general case is also considered.

Item Details

Item Type:Refereed Article
Research Division:Philosophy and Religious Studies
Research Group:Philosophy
Research Field:Logic
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in Philosophy and Religious Studies
UTAS Author:Beall, Jc (Professor JC Beall)
ID Code:100098
Year Published:2013
Web of Science® Times Cited:8
Deposited By:Humanities
Deposited On:2015-05-01
Last Modified:2015-08-18
Downloads:307 View Download Statistics

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