Keywords:negation, transitivity, weakening, paraconsistent logics, explosion
In the context of non-classical logics, many philosophers have been particularly interested in the paraconsistent logics. In addition to traditional definitions, in recent years, new ways of characterizing the notion of paraconsistency have been proposed. In all of these definitions the rule or the meta-rule of explosion is abandoned. In this article, I present those definitions and evaluate the role that the negation and the transitivity play in each of them. Finally, I propose a new definition of paraconsistency which I call total paraconsistency and show that the rule of weakening plays a crucial role in all of the characterizations of such a concept.
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