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
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.
Non-classical logic, C. I. Lewis, E. J. Nelson, relevant logic, paraconsistent logic, modal logic.
Author
Edwin Mares (Corresponding author)
Affiliation
Victoria University of Wellington
Address
Philosophy Programme, P.O. Box 600 Wellington 6140, New Zealand
Author
Francesco Paoli
Affiliation
University of Cagliari
Address
Department of Pedagogy, Psychology, Philosophy, University of Cagliari, Via Is Mirrionis, 1 - 09123 Cagliari, Italy
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
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
© Edwin Mares,Francesco Paoli
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