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Organon F

Volume 26, August 2019, Issue 3, Pages 405–426

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

C.I. Lewis, E.J. Nelson, and the Modern Origins of Connexive Logic

Edwin Mares Francesco Paoli

https://doi.org/10.31577/orgf.2019.26304

Abstract

Modern logic owes an important debt to C.I. Lewis and his students. In addition to Lewis’s five modal logics, they are responsible for the creation (or discovery) of the logic of analytic implication and connexive logic. In this paper, we examine E.J. Nelson’s connexive logic as an attempt to formalise the notion of entailment while avoiding the paradoxes of strict implication. We also look briefly at the reception of Nelson’s logic and at Lewis’s reply to it.

Keywords

Non-classical logic, C. I. Lewis, E. J. Nelson, relevant logic, paraconsistent logic, modal logic.

Author(s) and affiliation(s)

Author

Edwin Mares (Corresponding author)

Affiliation

Victoria University of Wellington

Address

Philosophy Programme, P.O. Box 600 Wellington 6140, New Zealand

E-mail

edwin.mares@vuw.ac.nz 

Author

Francesco Paoli

Affiliation

University of Cagliari

Address

Department of Pedagogy, Psychology, Philosophy, University of Cagliari, Via Is Mirrionis, 1 - 09123 Cagliari, Italy

E-mail

paoli@unica.it 

About this article

Received

9 December 2018

Accepted

11 February 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

Mares , E. and Paoli, F. (2019). C.I. Lewis, E.J. Nelson, and the Modern Origins of Connexive Logic. Organon F, 26(3), 405–426. https://doi.org/10.31577/orgf.2019.26304

Chicago

Mares , Edwin and Paoli, Francesco. 2019. "C.I. Lewis, E.J. Nelson, and the Modern Origins of Connexive Logic." Organon F 26 (3): 405–426. https://doi.org/10.31577/orgf.2019.26304

Harvard

Mares , E. and Paoli, F. (2019). C.I. Lewis, E.J. Nelson, and the Modern Origins of Connexive Logic. Organon F, 26(3), pp. 405–426. https://doi.org/10.31577/orgf.2019.26304

Copyright information

© Edwin Mares,Francesco Paoli

Response page

https://www.sav.sk/index.php?lang=sk&doc=journal-list&part=article_response_page&journal_article_no=17324

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


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