@article {1147,
title = {Tichý{\textquoteright}s Two-Dimensional Conception of Inference},
journal = {Organon F},
volume = {20},
number = {2},
year = {2013},
pages = {54-65},
abstract = {In this paper we revisit Pavel Tichý{\textquoteright}s novel distinction between one-dimensional and two-dimensional conception of inference, which he presented in his book Foundations of Frege{\textquoteright}s Logic (1988), and later in On Inference (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{\textquoteright}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{\textquoteright}s Transparent Intensional Logic.},
keywords = {Deduction, Frege, Gentzen, indirect proofs, Tichý, TIL, two-dimensional inference},
url = {http://www.klemens.sav.sk/fiusav/doc/organon/prilohy/2013/2/54-65.pdf},
author = {Pezlar, Ivo}
}