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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14210%2F17%3A00113944" target="_blank" >RIV/00216224:14210/17:00113944 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language 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.

Czech name

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Czech description

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Type

O - Miscellaneous

CEP classification

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OECD FORD branch

60301 - Philosophy, History and Philosophy of science and technology

Project

<a href="/en/project/GA16-19395S" target="_blank" >GA16-19395S: Semantic notions, paradoxes and hyperintensional logic based on modern ramified theory of types</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů