WHAT ARE THE PROBLEMS WORTH QUESTIONING IN MATHEMATICAL SOCIOLOGY

Based on the review of academic activity of JAMS since its foundation about 10 years ago, this presidential address advocates that activitie s in mathematical sociology need not be based on a single orthodox phi losophical basis. Activities in mathematical sociology are, and should be, so various that the philosophy they base on as a whole should be multifarious. Each project should adapt the philosophy that is most su itable to its characteristics and abstraction level. The address also stresses that mathematical sociologists should be interested in pursui ng the mechanism of social reality rather than in the technical improv ement of mathematical models.