INTRODUCTION IN TECHNOLOGY CONCEPTUALIZATION THE SUBJECT DOMAIN OF SOCIOLOGY: EXPANSION OF THE THEORY (in the example of relationship/kinship)

Abstract

Presented article is the second of two articles, the aim of which is to introduce the reader has no special mathematical training, with the possibilities of application of mathematical methods developed in the scientific direction of “Conceptual analysis and design of systems of organizational management (CAD SOM)”, designed to solve a variety of tasks, such as technical and humanitarian spheres on the basis of the proposed methodological approach to the mathematization of the theoretical knowledge. At the heart of this methodological approach is a process of conceptualization, which is understood as a theoretical study of qualitative aspects of a selected domain using mathematical forms (axiomatic) theory, the locking connection between the concepts of logical derivability characterizing this subject area. Designed axiomatic theory – conceptual scheme – is the basis for building database structures, decision-making processes, a variety of phenomena subject area, structure and genesis of domain analysis and other tasks. One of the main advantages of the sending of methodological approach is the ability to work with complex regions based on the controlled synthesis tool terminal theory of conceptual schemes, explicated simple fragments of the subject area. Given the non-mathematical preparation of the reader, the contents of the methods illustrated by conceptualizing a conceptually simple subject areas – areas related relations, as well as the choice of one of the most simple goals conceptualization – structuring the domain and build a variety of its phenomena. The first article was given a brief description of mathematical methods, describes the main stages of the conceptualization of the subject areas, ranging from the definition of the boundaries of the domain and ending with the theory of the synthesis of the terminal and determine its compliance with the tasks of conceptualizing. In the chosen example – areas related relations – have been considered in detail first, most important, the steps taken and the impact of technology on these stages of conceptualizing solutions. They discussed the definition of family relationship and the concept of “relative”, identifies the major errors and their consequences are discussed various options for positing the core of the conceptual scheme, carried out a precise definition of the content to rely in this case the basic concepts and their properties. In the second article concludes with a discussion of issues related to the behest of basic sets – namely, issues of formation of so-called “Declaration on the base set” terminological problems and questions refer to basic sets. Described final core of the conceptual scheme, carried out an axiomatic study of selected domain. The basic attention in second article is given to expansion of the theory and difficulties with which thus the conceptualist – researcher collides. By the example of the entered terms – “blood family”, “the connected family”, “family balls”, “generations of ancestors”, “genealogical trees and rhizomes”, “binding generations”, “related clans” – are shown opportunities of directions of expansion of the axiomatic theory. Influence of definition of concept “relative” on carrying out of border between relatives and nonrelatives is shown. For demonstration of variants of erosion of kinship, concepts of species “sorodstvennikov” are entered. At the end of the article briefly reviews the steps required for the synthesis of conceptual schemes. In the presentation of possible mathematical omitted entries, and the deployment of the theory described in the attributive form – in terms of empirically determined characteristics.