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Four Basic Logical Issues

journal contribution
posted on 2023-05-17, 09:15 authored by Rush, PA, Brady, R
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.

History

Publication title

Review of Symbolic Logic

Issue

2009

Pagination

488-508

ISSN

1755-0203

Department/School

School of Humanities

Publisher

Association of Symbolic Logic

Place of publication

Cambridge

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in philosophy and religious studies

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