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Organon F

Volume 26, August 2019, Issue 3, Pages 474–490

ISSN 2585-7150 (online) ISSN 1335-0668 (print)

Research Article | Special issue on Reflecting on the Legacy of C.I. Lewis: Contemporary and Historical Perspectives on Modal Logic

Wiredu contra Lewis on the Right Modal Logic

David B. Martens

https://doi.org/10.31577/orgf.2019.26307

Abstract

This paper is a critical study of an argument put forward by Kwasi Wiredu in his engagement with C. I. Lewis on choosing the right modal logic for logical necessity. Wiredu argues that Lewis “could have been more adventurous modally with perfect logicality” and could justifiably have accepted S4 rather than being “to the last cautious of any system stronger than S2” (Wiredu 1979). I address terse, incomplete, and provocatively incongruous notes on Wiredu’s paper by (Makinson 1980) and (Humberstone 2011), as well as a paper by (Cresswell 1965) that Humberstone cites, and I draw on recent work by (Lewitzka 2015; 2016). I conclude that Wiredu’s argument cannot be accepted as sound but a variant argument can be accepted as sound.

Keywords

C.I. Lewis, equivalence, identity, Kwasi Wiredu, modal logic, S4.

Author(s) and affiliation(s)

Author

David B. Martens

Affiliation

University of the Witwatersrand

Address

Department of Philosophy, School of Social Sciences, University of the Witwatersrand, Johannesburg, Private Bag 3, WITS 2050, South Africa

E-mail

david.martens@wits.ac.za

About this article

Received

31 October 2018

Accepted

2 March 2019

Published online

24 August 2019

Publishers

Institute of Philosophy of the Slovak Academy of Sciences

Institute of Philosophy of the Czech Academy of Sciences

Cite as

APA

Martens, D.B. (2019). Wiredu contra Lewis on the Right Modal Logic. Organon F, 26(3), 474–490. https://doi.org/10.31577/orgf.2019.26307

Chicago

Martens, David B. 2019. "Wiredu contra Lewis on the Right Modal Logic." Organon F 26 (3): 474–490. https://doi.org/10.31577/orgf.2019.26307

Harvard

Martens, D.B. (2019). Wiredu contra Lewis on the Right Modal Logic. Organon F, 26(3), pp. 474–490. https://doi.org/10.31577/orgf.2019.26307

Copyright information

© David B. Martens

Response page

https://www.sav.sk/index.php?lang=sk&doc=journal-list&part=article_response_page&journal_article_no=17327

The above URL is linked with the article's response page. The response page is a permanent location that is associated with the article's DOI number.


This article is distributed under the Creative Commons Attribution-NonCommercial 4.0 International Public License (CC BY-NC 4.0).


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