David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Topoi 18 (2):141-148 (1999)
Of the various accounts of negation that have been offered by logicians in the history of Western logic, that of negation as cancellation is a very distinctive one, quite different from the explosive accounts of modern "classical" and intuitionist logics, and from the accounts offered in standard relevant and paraconsistent logics. Despite its ancient origin, however, a precise understanding of the notion is still wanting. The first half of this paper offers one. Both conceptually and historically, the account of negation as cancellation is intimately connected with connexivist principles such as ¬( ¬). Despite this, standard connexivist logics incorporate quite different accounts of negation. The second half of the paper shows how the cancellation account of negation of the first part gives rise to a semantics for a simple connexivist logic.
|Keywords||Philosophy Philosophy Philosophy of Science Philosophy of Technology|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Thomas Macaulay Ferguson (2015). Logics of Nonsense and Parry Systems. Journal of Philosophical Logic 44 (1):65-80.
Sara L. Uckelman, Jesse Alama & Aleks Knoks (2014). A Curious Dialogical Logic and its Composition Problem. Journal of Philosophical Logic 43 (6):1065-1100.
Andreas Kapsner (2012). Strong Connexivity. Thought: A Journal of Philosophy 1 (2):141-145.
Nissim Francez (2014). Bilateral Relevant Logic. Review of Symbolic Logic 7 (2):250-272.
Similar books and articles
Jacek Hawranek & Jan Zygmunt (1984). On the Degree of Complexity of Sentential Logics.II. An Example of the Logic with Semi-Negation. Studia Logica 43 (4):405 - 413.
Greg Restall (1993). Simplified Semantics for Relevant Logics (and Some of Their Rivals). Journal of Philosophical Logic 22 (5):481 - 511.
Kosta Došen (1992). Modal Translations in Substructural Logics. Journal of Philosophical Logic 21 (3):283 - 336.
Bryson Brown (1999). Yes, Virginia, There Really Are Paraconsistent Logics. Journal of Philosophical Logic 28 (5):489-500.
Heinrich Wansing (2006). Contradiction and Contrariety. Priest on Negation. Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):81-93.
Dimiter Vakarelov (2005). Nelson's Negation on the Base of Weaker Versions of Intuitionistic Negation. Studia Logica 80 (2-3):393-430.
Gianpiero Cattaneo, Maria L. Dalla Chiara & Roberto Giuntini (1993). Fuzzy Intuitionistic Quantum Logics. Studia Logica 52 (3):419 - 442.
M. W. Bunder (1984). Some Definitions of Negation Leading to Paraconsistent Logics. Studia Logica 43 (1-2):75 - 78.
Added to index2009-01-28
Total downloads65 ( #62,427 of 1,790,258 )
Recent downloads (6 months)11 ( #75,792 of 1,790,258 )
How can I increase my downloads?