Сравнительный анализ квазифункциональных логик

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Ю.В. Ивлев
8 Гуманитарный вестник # 11·2017
Comparative analysis of quasifunctional Logics
© Ju.V. Ivlev
Lomonosov Moscow State University, Moscow, 119991, Russia
Quasifunctional (quasi-matrix, nondeterministic, partially deterministic) logic is based
on the principle of quasifunctionality. According to the principle functional connections
between observable phenomena are (at least) partially nondeterministic in many cases.
This logic is a set of logical systems. These systems might differ in types of propositions
and relations between their logical forms as well as in types of logical terms included in
propositions. Logical systems are constructed semantically. However, they might be also
presented axiomatically with the aim of their comparative analysis simplification and
practical use. Here the result of a comparative analysis of axiomatically constructed
three- and four-valued quasi-matrix logics and their limiting cases — matrix logics is
presented.
Keywords: quasi-function, the principle of quasifunctionality, quasifunctional logic, non-
deterministic logic, three-valued logic, four-valued logic
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Ivlev Ju.V., Dr. Sc. (Phylosophy), Professor, Department of Logic, Faculty of Philoso-
phy, Lomonosov Moscow State University, Honored Professor of Moscow State Univer-
sity, Honored Worker of the Higher School of Russia, Laureate of the Lomonosov Prize
of the Moscow State University, Academician of RANS. e-mail: