TICHÝ’S TWO-DIMENSIONAL CONCEPTION OF INFERENCE

• Authors: Ivo Pezlar
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

DEDUCTION; TICHÝ; TIL; TWO-DIMENSIONAL INFERENCE

• Publisher: Institute of Philosophy of the Slovak Academy of Sciences and Institute of Philosophy of Academy of Sciences of Czech Republic
• Journal: Organon F. medzinárodný časopis pre analytickú filozofiu
• Year: 2013
• Volume: 20
• Issue: suppl. 2
• Pages: 54 – 65

Contributors

author

Ivo Pezlar

• Katedra filozofie, Masarykova Universita, Arna Nováka 1. 602 00 Brno, Czech Republic