Mathematical Sociology

Mathematical sociology is the usage of mathematics to construct social theories. Mathematical sociology aims to take sociological theory, which is strong in intuitive content but weak from a formal point of view, and to express it in formal terms. The benefits of this approach include increased clarity and the ability to use mathematics to derive implications of a theory that cannot be arrived at intuitively. In mathematical sociology, the preferred style is encapsulated in the phrase "constructing a mathematical model." This means making specified assumptions about some social phenomenon, expressing them in formal mathematics, and providing an empirical interpretation for the ideas. It also means deducing properties of the model and comparing these with relevant empirical data. Social network analysis is the best-known contribution of this subfield to sociology as a whole and to the scientific community at large. The models typically used in mathematical sociology allow sociologists to understand how predictable local interactions are often able to elicit global patterns of social structure.

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Mathematical Sociology - Texts and Journals
... Mathematical sociology textbooks cover a variety of models, usually explaining the required mathematical background before discussing important work in the literature (Fararo 1973 ... The Journal of Mathematical Sociology (started in 1971) has been open to papers covering a broad spectrum of topics employing a variety of types of ... devoted to social structural analysis, very often employ mathematical models and related structural data analyses ...
Thomas Fararo
... in sociology at Syracuse University in 1963, he received a three year postdoctoral fellowship for studies in pure and applied mathematics at Stanford University (1964–1967) ... the Distinguished Career Award from the Mathematical Sociology section of the American Sociological Association ... relate to his career-long interest in making mathematical ideas relevant to the development of sociological theory ...

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