<?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%">Batens, Diderik</style></author></authors><secondary-authors><author><style face="normal" font="default" size="100%">Carnielli, Walter A.</style></author><author><style face="normal" font="default" size="100%">Coniglio, Marcelo E.</style></author><author><style face="normal" font="default" size="100%">Loffredo D'Ottaviano, Itala M.</style></author></secondary-authors></contributors><titles><title><style face="normal" font="default" size="100%">On some Remarkable Relations between Paraconsistent Logics, Modal Logics, and Ambiguity Logics</style></title><secondary-title><style face="normal" font="default" size="100%">Paraconsistency. The Logical Way to the Inconsistent</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2002</style></year></dates><publisher><style face="normal" font="default" size="100%">Marcel Dekker</style></publisher><pub-location><style face="normal" font="default" size="100%">New York</style></pub-location><pages><style face="normal" font="default" size="100%">275–293</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;This paper concerns some connections between paraconsistent logics, modal logics (mainly &lt;strong&gt;S5&lt;/strong&gt;), and Ambiguity Logic &lt;strong&gt;AL&lt;/strong&gt; (Classical Logic applied to a language in which all letters are indexed and in which quantifiers over such indices are present). &lt;strong&gt;S5&lt;/strong&gt; may be defined from &lt;strong&gt;AL&lt;/strong&gt;.&lt;br /&gt;&lt;br /&gt; Three kinds of connections are illustrated. First, a paraconsistent logic &lt;strong&gt;A&lt;/strong&gt; is presented that has the same expressive power as &lt;strong&gt;S5&lt;/strong&gt;. Next, I consider the definition of paraconsistent logics from &lt;strong&gt;S5&lt;/strong&gt; and &lt;strong&gt;AL&lt;/strong&gt;. Such definition is shown to work for some logics, for example Priest's &lt;strong&gt;LP&lt;/strong&gt;. Other paraconsistent logics appear to withstand such definition, typically those that contain a detachable material implication. Finally, I show that some paraconsistent logics and inconsistency-adaptive logics serve exactly the same purpose as some modal logics and ampliative adaptive logics based on &lt;strong&gt;S5&lt;/strong&gt;. However, they serve this purpose along very different roads and the logics cannot be defined from one another.&lt;br /&gt;&lt;br /&gt; The paper intends to open lines of research rather than pursuing them to the end. It also contains a poor person's semantics for &lt;strong&gt;S5&lt;/strong&gt; as well as a description of the simple but useful and powerful &lt;strong&gt;AL&lt;/strong&gt;.&lt;/p&gt;</style></abstract></record></records></xml>