<?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%">De Bal, Inge</style></author><author><style face="normal" font="default" size="100%">Verdée, Peter</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A new approach to classical relevance.</style></title><secondary-title><style face="normal" font="default" size="100%">Studia Logica</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2015</style></year></dates><volume><style face="normal" font="default" size="100%">82</style></volume><pages><style face="normal" font="default" size="100%">1–31</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;n this paper we present a logic that determines when implications in a classical logic context express a relevant connection between antecedent and consequent. In contrast with logics in the relevance logic literature, we leave classical negation intact - in the sense that the law of non-contradiction can be used to obtain relevantly implications, as long as there is a connection between antecedent and consequent. On the other hand, we give up the requirement that our theory of relevance can define a new standard of deduction. We present and argue for a list of requirements that such a logical theory of classical relevance needs to meet and go on to formulate a system that respects each of these requirements. The presented system is a monotonic and transitive logic that extends the relevance logic ℜ with a richer relevant implication that allows for Disjunctive Syllogism and similar rules. This is achieved by interpreting the logical symbols in the antecedents in a stronger way than the logical symbols in consequents. A proof theory and an algebraic semantics are formulated and interesting metatheorems (soundness, completeness and the fact that it satisfies the requirements for classical relevance) are proven. Finally we give a philosophical motivation for our non-standard relevant implication and the asymmetric interpretation of antecedents and consequents.&lt;/p&gt;</style></abstract></record></records></xml>