@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} }