<?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%">Pezlar, Ivo</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Tichý’s Two-Dimensional Conception of Inference</style></title><secondary-title><style face="normal" font="default" size="100%">Organon F</style></secondary-title><translated-title><style face="normal" font="default" size="100%">Tichý’s Two-Dimensional Conception of Inference</style></translated-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Deduction</style></keyword><keyword><style  face="normal" font="default" size="100%">Frege</style></keyword><keyword><style  face="normal" font="default" size="100%">Gentzen</style></keyword><keyword><style  face="normal" font="default" size="100%">indirect proofs</style></keyword><keyword><style  face="normal" font="default" size="100%">Tichý</style></keyword><keyword><style  face="normal" font="default" size="100%">TIL</style></keyword><keyword><style  face="normal" font="default" size="100%">two-dimensional inference</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2013</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.klemens.sav.sk/fiusav/doc/organon/prilohy/2013/2/54-65.pdf</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">2</style></number><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">54-65</style></pages><language><style face="normal" font="default" size="100%">English</style></language><abstract><style face="normal" font="default" size="100%">In this paper we revisit Pavel Tichý’s novel distinction between one-dimensional and two-dimensional conception of inference, which he presented in his book &lt;i&gt;Foundations of Frege’s Logic&lt;/i&gt; (1988), and later in &lt;i&gt;On Inference&lt;/i&gt; (1999), which was prepared from his manuscript by his co-author Jindra Tichý. We shall focus our inquiry not only on the motivation behind the introduction of this non-classical concept of inference, but also on further inspection of selected Tichý’s arguments, which we see as the most compelling or simply most effective in providing support for his two-dimensional account of inference. Main attention will be given to exposing the failure of one-dimensional theory of inference in its explanation of indirect (reductio ad absurdum) proofs. Lastly, we discuss shortly the link between two-dimensional inference and deduction apparatus of Tichý’s Transparent Intensional Logic.</style></abstract><custom3><style face="normal" font="default" size="100%">5465</style></custom3><custom5><style face="normal" font="default" size="100%">1</style></custom5></record></records></xml>