<?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%">Vermeir, Timothy</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Inconsistency-adaptive Arithmetic</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%">2000</style></year></dates><number><style face="normal" font="default" size="100%">167-168</style></number><volume><style face="normal" font="default" size="100%">42</style></volume><pages><style face="normal" font="default" size="100%">221-241</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this article, it is shown that inconsistent arithmetic, as proposed by Jean Paul Van Bendegem and Graham Priest, does not have all the properties they claim the system has. The search for a system of inconsistent arithmetic that does have the intended properties, will lead us through different axiomatizations and different logics, the final result being inconsistency-adaptive arithmetic.&lt;/p&gt;</style></abstract></record></records></xml>