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Article

A one-valued logic for non-one-sidedness

International Journal of Jaina Studies. 2013. Vol. 9. No. 1. P. 1-25.

The Jain saptabhaṅgī is well-known for its general stance of non-one-sidedness. After a number of debates about the occurrence of contradictory sentences inside the so-called "Jain logic", three main theses are presented in the following: the saptabhaṅgī is a theory of judgment giving an exhaustive list of possible statements; it is not a "logic" in the modern sense of the word, given that no consequence relation appears in it; the Jain saptabhaṅgī can be viewed as a dual of the Madhyamaka catuṣkoṭi, where four possible statements are equally denied. A formal semantics is proposed to account for these theses, namely: a Question-Answer Semantics, in which a basic question-answer game makes sense of every statement with the help of structured logical values. Some new light will be also thrown upon the controversial notion of avaktavyam: instead of being taken as a case of true contradiction, our semantics will justify a reduction of the Jain theory of non-one-sidedness to a one-valued system of question-answer games.