David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
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History and Philosophy of Logic 23 (4):267-281 (2002)
What is the rational response when confronted with a set of propositions each of which we have some reason to accept, and yet which taken together form an inconsistent class? This was, in a nutshell, the problem addressed by the Jaina logicians of classical India, and the solution they gave is, I think, of great interest, both for what it tells us about the relationship between rationality and consistency, and for what we can learn about the logical basis of philosophical pluralism. The Jainas claim that we can continue to reason in spite of the presence of inconsistencies, and indeed construct a many-valued logical system tailored to the purpose. My aim in this paper is to offer a new interpretation of that system and to try to draw out some of its philosophical implications
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References found in this work BETA
Susan Haack (1974). Deviant Logic: Some Philosophical Issues. Cambridge University Press.
G. Priest, R. Routley & J. Norman (eds.) (1989). Paraconsistent Logic: Essays on the Inconsistent. Philosophia Verlag.
Nicholas Rescher (1969). Topics in Philosophical Logic. Dordrecht, D. Reidel.
G. Priest (1984). Hyper-contradictions. Logique Et Analyse 27 (7):237.
Citations of this work BETA
Yaroslav Shramko & Heinrich Wansing (2006). Hyper-Contradictions, Generalized Truth Values and Logics of Truth and Falsehood. Journal of Logic, Language and Information 15 (4):403-424.
Graham Priest (2008). Jaina Logic: A Contemporary Perspective. History and Philosophy of Logic 29 (3):263-278.
Scott R. Stroud (2014). Comprehensive Rhetorical Pluralism and the Demands of Democratic Discourse: Partisan Perfect Reasoning, Pragmatism, and the Freeing Solvent of Jaina Logic. Philosophy and Rhetoric 47 (3):297-322.
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