Mathematical sociology is a vastly under-developed field. It is in its infancy compared to mathematical economics or mathematical psychology.The results sociologists do have are often descriptive or definitional.
Instead, there is a smattering of results in collective behavior, networks, social psychology, and stochastic process models. A critical mass of people is needed to hit the topic, develop it, and then teach the rest of the profession. Right now, most soc departments don’t even teach mathematical sociology. Since the field isn’t developed, it’s fair to say that there is no major debate among formal model builders/theorem provers beyond those that exist in specific topics (e.g., network models or collective action).
http://orgtheory.wordpress.com/2012/03/21/mathematical-sociology-argument-transparency-vs-truth/
Instead, there is a smattering of results in collective behavior, networks, social psychology, and stochastic process models. A critical mass of people is needed to hit the topic, develop it, and then teach the rest of the profession. Right now, most soc departments don’t even teach mathematical sociology. Since the field isn’t developed, it’s fair to say that there is no major debate among formal model builders/theorem provers beyond those that exist in specific topics (e.g., network models or collective action).
http://orgtheory.wordpress.com/2012/03/21/mathematical-sociology-argument-transparency-vs-truth/
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