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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 4, Pages 144–162 (Mi vuu304)  
This article is cited in 1 scientific paper (total in 1 paper)

COMPUTER SCIENCE

Analysis of paradoxes of tangible implication in the orthogonal basis of syllogistics

Yu. M. Smetanin

Udmurt State University, Izhevsk, Russia
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Abstract: The article analyzes the disadvantages of Aristotle syllogistic basis. The author indicates reasons for paradoxes of tangible implication in classical logics. It is suggested to verify correlations between a conditioned judgment and a tangible implication. Such paradoxes are not allowed in the multi-level syllogistic orthogonal basis.
Keywords: syllogistics, formal logics, orthogonal basis, paradoxes of tangible implication, Boolean algebra, polysyllogism, multi-level syllogistics.
Received: 28.11.2011
Document Type: Article
UDC: 510.63
MSC: 03B10
Language: Russian
Citation: Yu. M. Smetanin, “Analysis of paradoxes of tangible implication in the orthogonal basis of syllogistics”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 4, 144–162
Citation in format AMSBIB
\Bibitem{Sme11}
\by Yu.~M.~Smetanin
\paper Analysis of paradoxes of tangible implication in the orthogonal basis of syllogistics
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 4
\pages 144--162
\mathnet{http://mi.mathnet.ru/vuu304}
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