Prospects of application structural mathematical constructs as bases tool conceptualization the subject domain of sociology (statement of a problem)

• Main Author: E. V. Maslennikov
• Format: Article
• Language: Russian
• Published: Publishing House of Lomonosov Moscow State University 2016-06-01
• Series: Vestnik Moskovskogo Universiteta: Seriâ 18, Sociologiâ i Politologiâ
• Subjects: социология как совокупность теоретического знания; инструментальная концептуализация; структурные математические конструкты; социологическое измерение в широком понимании; sociology as set of theoretical knowledge; tool conceptualization; structural mathematical constructs; sociological measurement in wide understanding
• Online Access: https://vestnik.socio.msu.ru/jour/article/view/175

In article the approach to the decision of a problem of conceptual integration of sociology as the set of theoretical knowledge belonging to type - conceptually difficult - the big theories. Development of theoretical sociology with use of forms of the mathematical theory is considered as a private problem in relation to more general problem of development of theoretical knowledge with use of forms of the mathematical theory. Development the theoretical sociology is offered to carry out with use of forms of the mathematical theory on the basis of properties structural mathematical constructs and with application the mathematical methods developed in a scientific direction “The Conceptual analysis and designing”[40] . In the given direction it is used not only a paradigm of structuralism, but also a principle of an ascention from abstract to concrete in the knowledge, realized in procedure of synthesis of formal theories with use of the device of structural mathematics. The system analysis, the theory of systems and the theory of structures of N. Burbaki concerns to sources of occurrence of a method of the conceptual analysis. The method is intended for the analysis of subject domains of a high level of complexity, realization of conceptual modeling of objects from these subject domains and reception of new knowledge about essence of subject domains and their relations. Conceptual complexity of phenomena is understood as complexity of the structures expressing the relations and interrelations between concepts, describing interesting area from the point of view of solved tasks. For a subject domain conceptual complexity is potentially established by quantity of basic sets on which scales of sets and the steps belonging to them representing definitions of developed theory of a subject domain are constructed. In article is exposed to the analysis role structural mathematical constructs device in expansion integrating tool conceptualization subject domains of sociology. In article are determined preconditions of application the device steps of sets at formation conceptually difficult - the big theories to which concerns sociology as set of theoretical knowledge. The maintenance of a key problem allocated in article is application constructs of structural mathematics as bases for definition of structure of a subject domain of sociology as sets of theoretical knowledge. Perspectives in development of theoretical sociology with use of forms of the mathematical theory are understood in this case, as process of escalating of use constructs of structural mathematics as the tools having base character for theoretical idealization and modeling at creation of theories and theoretical models of objects, investigated by sociology and carrying out in them of tool researches. In article it is shown, that search of the decision so challenges is probable as during intradisciplinary, and interdisciplinary researches. Last from them in spite of the fact that are connected to growth of organizational complexity, allow to leave for frameworks of habitual traditional intradisciplinary positions and the points of view, in a result raising productivity of scientific search of the decision of a task.