<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>13</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Lycke, Hans</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Adding the Inference Rule Disjunctive Syllogism to Relevant Logics</style></title></titles><dates><year><style  face="normal" font="default" size="100%">2010</style></year></dates><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In order to avoid trivial consequences, the derivability relation of relevant logics (RL) does not support the inference rule disjunctive syllogism (DS). In this paper, I will show that the inference rule DS can be added to this derivability relation in a way that doesnt lead to trivial or irrelevant consequences. To do so, I will rely on the insights gained from the study of inconsistencyadaptive logics, the branch of adaptive logics that was devised to explicate reasoning based on inconsistent premise sets. Moreover, I will also point to the relations with some alternative proposals from the literature, and I will show that the inconsistencyadaptive framework has some major advantages over these.&lt;/p&gt;</style></abstract></record></records></xml>