Eastern Proto-logics

In Jean-Yves Beziau, Mihir Chakraborty & Soma Dutta (eds.), New Directions in Paraconsistent Logic: 5th WCP, Kolkata, India, February 2014. Springer. pp. 529-552 (2016)
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Abstract

An alternative semantic framework is proposed in the following to reconstruct and make sense of “Eastern logics”: a Question-Answer Semantics (thereafter: QAS), including a set of questions-answers and a finite number of ensuing non-Fregean logical values. Thus, meaning is provided by yes-no answers to corresponding questions about relevant properties. These logical values help to show that the saptabhaṅgī (and its dual, viz., the Buddhist Mādhyamaka catuṣkoṭi) is not a many-valued paraconsistent logic but, rather, a one-valued proto-logic: a constructive machinery that serves as a formal theory of judgment, rather than a Tarskian-like theory of consequence. Such an explanatory model of contradiction assumes a deep redefinition of logical values.

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Fabien Schang
Université de Lorraine (PhD)

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