David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
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 <span class='Hi'>basis</span> 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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