Classical mathematical sociometry. Part II. Mathematics, poetry, picture

V. Gritsak-Groener, Juliya Gritsak-Groener

Abstract


The article is a direct extension of the article by the same authors under the name “Classical mathematical sociometry. Part I”. The article is devoted to the axiomaty of social relations. Separately stand out classic axioms. Traditional mathematical glossary complements readers' knowledge of the elements of mathematical relations. Theorems 1 and 2 suggest 24 scenarios of possible social individual relations. The nonmonotonic triple spiral of life of human groups is based on three chains of waves charged to the final spot. The theory that we begin to explore in paragraph 5 is dual to the theory of ordering in sociometry, which we developed in our previous articles. It investigates not the ordering between persons, but the ordering of the decisions of one person (in the linear case) of his/her choices. As a matter of fact, this is exactly what happens during sociological polls, interrogations, questionnaires, psychiatric tests and other classical methods. We consider the mathematical theory of processing individual data collection, together with the axiomatics, the theorems, their proofs and mathematically implications.


Keywords


relation; axiom; sociometry

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References


Birkhoff G. Lattice Theory. — New York, 1948. — 407 p.

Gritsak V.V. Logic and Categorical Theory of Natural Science. — Kyiv: SVITOZIR-ACADEMIA, 1995. — 322 p.

Gritsak V.V., Michalevich V.S. Mathematical Theory of Democracy. — Moscow: Progress, 1984. — 230 p.

Gritsak-Groener V.V., Gritsak-Groener J. Computation of Alternative Conditions for Social Orderings Optimal Democratic Decision. // Физика сознания и жизни, космология и астрофизика. — 2014. — №2,

Gritsak-Groener V.V. Theory of State. Choice. — Kyiv-München: SVITOZIR-ACADEMIA, 2000. — 346 p.

Gritsak-Groener V.V., Gritsak-Groener J. Global Controls and Sufficient Conditions of Goduniquely // Соционика, ментология и психология личности. — 2012. — №1.

Gritsak-Groener V.V. The Mathematical Theory of the State. Construction of the State System. — Kyiv-München: SVITOZIR-ACADEMIA, 2003.

Gritsak-Groener V.V. The Mathematical Theory of the State Management, v.2. — Kyiv-München: SVITOZIR-ACADEMIA, 2005.

Gritsak-Groener V.V., Gritsak-Groener J., Bukalov A.V. Systems and categorical methods of global control // Physics of consciousness and life, Cosmology and Astrophysics. — 2012. — № 2. — P. 34–38.

Gritsak-Groener V.V., Gritsak-Groener J., Bukalov A.V. Control of Chaos // Physics of consciousness and life, Cosmology and Astrophysics. — 2012. — № 3. — P. 21–30.Букалов А.В. Потенциал личности и загадки человеческих отношений. — М.: Чёрная Белка, 2018.

Gritsak-Groener V.V., Gritsak-Groener J. Strategically Control of Chaos and Inverse Problems // Physics of consciousness and life, Cosmology and Astrophysics. — 2013. — № 3. — P. 40–50.

Gritsak-Groener V.V., Gritsak-Groener J. Strategically Control of Chaos and Inverse Problems. Part 2 // Physics of consciousness and life, Cosmology and Astrophysics. — 2015. — № 4. — P. 24–34.

Букалов А.В. Потенциал личности и загадки человеческих отношений. — М.: Черная белка, 2009. — 592 с.

Букалов А.В., Карпенко О.Б. Соционика как научная дисциплина // Соционика, ментология и психология личности. — 2013. — №№1-3.


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