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. (shrink)

The work has aimed throughout at a comparative treatment of the problems.

The last work of the eminent philosopher Bimal Krishna Matilal, this book traces the origins of logical theory in India.

info:eu-repo/semantics/publishedVersion.

In a paper on the logical work of the Jains, Graham Priest considers a consequence relation, semantically characterized, which has a natural analogue in modal logic. Here we give a syntactic/axiomatic description of the modal formulas which are consequences of the empty set by this relation, which is to say: those formulas which are, for every model, true at some point in that model.

In his excellent paper, Nagarjuna as anti-realist, Siderits showed that it makes sense to perform a connection between the position of the Buddhist Nagarjuna and contemporary anti realist theses such as Dummett’s one. The point of this talk is to argue that this connection is an important one to perform for one’s correct understanding of what Nagarjuna is doing when he criticizes the contemporary Indian theories of knowledge and assertion, first section, but as soon as the theories of argumentation are (...) involved, this connection can be implemented in a better way from another anti realist perspective, namely the one of Dialogical logic, in which the signification is given in terms of rules in a language game. The philosophical issues are to hold an interpretation of the type of assertion performed by Nagarjuna. We here aim at making a rational reconstruction of his chief claim 'I do not assert any proposition' in which a proposition is considered as the set of its strategies of justification. As for the last section, the point will be to apply these analyses to Buddhist practice. We will in this section consider the conventional character of human activities as the fact that any speech act is performed within a dialogue under ad-hoc restrictions; and the question of one’s progress in the soteriological path to liberation will be asked. (shrink)

Jaina philosophy provides a very distinctive account of logic, based on the theory of ?sevenfold predication?. This paper provides a modern formalisation of the logic, using the techniques of many-valued and modal logic. The formalisation is applied, in turn, to some of the more problematic aspects of Jaina philosophy, especially its relativism.