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The evidence approach to paraconsistency versus the paraconsistent approach to evidence

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Abstract

In this paper, we analyze the epistemic approach to paraconsistency. This approach is advanced as an alternative to dialetheism on what concerns interpreting paraconsistency and contradictions; instead of having to accept that there are true contradictions (as dialetheists argue), it is suggested that we may understand such situations as involving only conflicting evidence, which restricts contradictions to a notion of evidence weaker than truth. In this paper, we first distinguish two conflicting programs entangled in the proposal: (1) interpreting paraconsistency in general through the notion of evidence, and (2) modeling reasoning with evidence by using paraconsistent logic. The first part of the program, we argue, does not succeed, on the grounds that it does not lead to a uniform proposal to the understanding of paraconsistency, and fails to engage with dialetheism in a legitimate dispute about interpretation of paraconsistency. Also, when seen through the lights of the second kind of approach, a ‘logic as modeling’ approach, weaknesses of dealing with evidence through paraconsistency come to light, basically because evidence does not seem to suggest the need of a paraconsistent treatment. As a result, one can neither approach paraconsistency in general through evidence, nor approach evidence with the use of paraconsistent logics.

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Notes

  1. The claim that dialetheism involves ontological contradictions is made by the mentioned authors. We shall not discuss in this paper whether that attribution is appropriate or not. See Priest (2006a, b) and Priest et al. (2018).

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Correspondence to Jonas Rafael Becker Arenhart.

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Arenhart, J.R.B. The evidence approach to paraconsistency versus the paraconsistent approach to evidence. Synthese 198, 11537–11559 (2021). https://doi.org/10.1007/s11229-020-02813-x

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