An Adaptive Logic Based on Jaśkowskis Approach to Paraconsistency

Author: Meheus, Joke

Source: Journal of Philosophical Logic, Volume 35, Number 6, December 2006 , pp. 539-567(29)

Publisher: Springer

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Abstract:

In this paper, I present the modal adaptive logic AJ ^r (based on S5) as well as the discussive logic D ^r ₂ that is defined from it. D ^r ₂ is a (non-monotonic) alternative for Jaśkowski's paraconsistent system D ₂. Like D ₂, D ^r ₂ validates all single-premise rules of Classical Logic. However, for formulas that behave consistently, D ^r ₂ moreover validates all multiple-premise rules of Classical Logic. Importantly, and unlike in the case of D ₂, this does not require the introduction of discussive connectives. It is argued that this has clear advantages with respect to one of the main application contexts of discussive logics, namely the interpretation of discussions.

Keywords: adaptive logics; discussive logics; paraconsistency; Jaśkowski

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10992-005-9004-9

Affiliations: 1: Email: Joke.Meheus@UGent.be

Publication date: 2006-12-01