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Four Basic Logical Issues

Citation

Rush, PA and Brady, R, Four Basic Logical Issues, Review of Symbolic Logic, 2, (2009) pp. 488-508. ISSN 1755-0203 (2009) [Refereed Article]

Abstract

Four Basic Logical Issues: The paper addresses what we see as the four major issues in logic. The overriding issue is that of the choice of logic. We start with some discussion of the preliminary issue of whether there is such a 'one true logic,' but we reserve the main discussion for the first issue of 'classical logic versus nonclassical logic.' Here, we discuss the role of meaning and truth, the relation between classical logic and classical negation, and whether and, if so, how classical logic should reside at the base world. Given the argument in favor of an overall use of nonclassical logic, the second issue is that of the choice of nonclassical logic. Brady's logic MC of meaning containment is argued for, with some comparison made with other relevant logics. For the remaining two issues, we make a case for relevant deduction, in comparison with classical deduction, and we explore possibilities for the appropriate metalogic, comparing classical and nonclassical approaches.

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
Author:Rush, PA (Dr Penelope Rush)
ID Code:74340
Year Published:2009
Deposited By:Philosophy
Deposited On:2011-11-23
Last Modified:2011-11-23
Downloads:0

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