<?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%">Adaptive Fregean Set Theory</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%">2020</style></year></dates><volume><style face="normal" font="default" size="100%">108</style></volume><pages><style face="normal" font="default" size="100%">903–939 (e-published 10 NOV 2019)</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 defines provably non-trivial theories that characterize Frege's notion of a set, taking into account that the notion is inconsistent. By choosing an adaptive underlying logic, consistent sets behave classically notwithstanding the presence of inconsistent sets. Some of the theories have a full-blown presumably consistent set theory &lt;em&gt;T&lt;/em&gt; as a subtheory, provided &lt;em&gt;T&lt;/em&gt; is indeed consistent. An unexpected feature is the presence of classical negation within the language.&lt;/p&gt;</style></abstract><notes><style face="normal" font="default" size="100%">Published online: 10 November 2019</style></notes></record></records></xml>