<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Batens, Diderik</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A Strengthening of the Rescher–Manor Consequence Relations</style></title><secondary-title><style face="normal" font="default" size="100%">Logique et Analyse</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2003</style></year></dates><number><style face="normal" font="default" size="100%">183–184</style></number><volume><style face="normal" font="default" size="100%">46</style></volume><pages><style face="normal" font="default" size="100%">289–313</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;The flat Rescher–Manor consequence relations–-the Free, Strong, Weak, C-Based, and Argued consequence relation–-are defined in terms of the classical consequences of the maximal consistent subsets of (possibly) inconsistent sets of premises. If the premises are inconsistent, the Free, Strong and C-Based consequence sets are consistent and the Argued consequence set avoids explicit inconsistencies (such as &lt;em&gt;A&lt;/em&gt; and &amp;nbsp;&lt;em&gt;A&lt;/em&gt;).&lt;br /&gt;&lt;br /&gt; The five consequence relations may be applied to discussive situations as intended by Jaskowski–-the comparison with Jaskowski's &lt;strong&gt;D2&lt;/strong&gt; is instructive. The method followed by Joke Meheus to extend &lt;strong&gt;D2&lt;/strong&gt; to an adaptive logic, may also be applied to the Rescher–Manor consequence relations. It leads to an extension of the Free, Strong, Weak, and C-Based consequence relations. The extended consequence sets are consistent and closed under Classical Logic. Applying the method to the Argued consequence relation leads to a different consequence relation, not an extension. Neither the Argued consequence relation nor its extension appear very interesting in the present application context.&lt;/p&gt;</style></abstract></record></records></xml>