Tichý’s Two-Dimensional Conception of Inference

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Arts. Official publication website can be found on muni.cz.
Authors

PEZLAR Ivo

Year of publication 2013
Type Article in Periodical
Magazine / Source Organon F : filozofický časopis
MU Faculty or unit

Faculty of Arts

Citation
Field Philosophy and religion
Keywords deduction; Frege; Gentzen; indirect proofs; Tichý; TIL; two-dimensional inference
Description 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 Foundations of Frege'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'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.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.