Reflections on Mathematical Sociology

As a participant in the development of mathematical sociology over the past several decades, the author undertakes a personal and historical review of the field. A special effort is made to link early innovations and interests to recent developments. The paper deals successively with (a) the origins of mathematical sociology and its early achievements, (b) the cognitive interests and values of mathematical sociologists in relation to ideas associated with the founders of sociology, (c) the scope of mathematical contributions in terms of the general components of human action and society, and (d) the problematic specialty status of mathematical sociology. The paper concludes with some thoughts on the future of mathematical sociology.