DISCUSSIVE ADAPTIVE LOGICS: HANDLING INTERNAL AND EXTERNAL INCONSISTENCIES

in Essays in Logic and Ontology
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Abstract

In this paper, I present the discussive adaptive logic DLIr. As is the case for other discussive logics, the intended application context of DLIr is the interpretation of discussions. What is new about the system is that it does not lead to explosion when some of the premises are selfcontradictory. It is argued that this is important in view of the fact that human reasoners are not logically omniscient, and hence, that it may not be evident to discover the inconsistencies in one’s beliefs. In addition to this, DLIr can handle cases in which different participants contradict each other. It is shown that, in both kinds of cases, DLIr leads to an interpretation of the discussion that is as rich as possible (even though no discussive connectives are introduced).

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