Geodesic
Analysis of paradoxes of tangible implication in the orthogonal basis of syllogistics
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2011), pp. 144-162

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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, Boolean algebra, multi-level syllogistics.
Mots-clés : paradoxes of tangible implication, polysyllogism 
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     title = {Analysis of paradoxes of tangible implication in the orthogonal basis of syllogistics},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {144--162},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_4_a12/}
}
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Yu. M. Smetanin. Analysis of paradoxes of tangible implication in the orthogonal basis of syllogistics. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 4 (2011), pp. 144-162. http://geodesic.mathdoc.fr/item/VUU_2011_4_a12/