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Synthese 120 (1):137-149 (1999)

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  1. An Adaptive Logic Based on Jaśkowskiˈs Approach to Paraconsistency.Joke Meheus* - 2006 - Journal of Philosophical Logic 35 (6):539-567.
    In this paper, I present the modal adaptive logic $AJ^{r}$ (based on S5) as well as the discussive logic $D_{2}^{r}$ that is defined from it. $D_{2}^{r}$ is a (nonmonotonic) alternative for Jaśkowski's paraconsistent system D₂. Like D₂, $D_{2}^{r}$ validates all single-premise rules of Classical Logic. However, for formulas that behave consistently, $D_{2}^{r}$ moreover validates all multiple-premise rules of Classical Logic. Importantly, and unlike in the case of D₂, this does not require the introduction of discussive connectives. It is argued that (...)
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