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Mathematical sociology is the usage of mathematics to construct social theories. In sociology, in general, the connection between mathematics and sociology is confined to problems of data analysis; employing statistical models. Many sociological theories are strong in intuitive content, but weak from a formal point of view. In mathematical sociology, the preferred style is encapsulated in the phrase "constructing a mathematical model." This means making specified assumptions about some mathematical objects and providing an empirical interpretation for the ideas. It also means deducing properties of the model and comparing these with relevant empirical data. Video
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