Publication details

D-Conception of Inference (with an Examination ofParadoxical Reasoning)

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Year of publication 2017
Type Conference abstract
MU Faculty or unit

Faculty of Arts

Description The talk presents an elaboration and several applications of Frege's and Tichý's two-dimensional (2D) conception of inference. In contrast to ordinary (1D) conception, each inferential step is a whole deduction and thus logical truth - not a single formula that need not to be logically valid (being mere hypothesis, assumption). 2D-conception is thus more satisfactory from an epistemological point of view. As shown by Tichý and Pezlar, reductio ad absurdum proofs cannot have a satisfactory explanation on 1D-conception. I show its 2D-explanation; similarly for indirect proofs. Moreover, a solution to the Paradox of Inference is offered.
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