A simple approach towards recapturing consistent theories in paraconsistent settings

J. C. Beall*

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 for LP-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.

Original languageEnglish
Pages (from-to)755-764
Number of pages10
JournalReview of Symbolic Logic
Volume6
Issue number4
Early online date7 Aug 2013
DOIs
Publication statusPublished - Dec 2013

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