Mathematical Sociology as Theoretical Sociology

What is necessary to claim that mathematical sociology in itself makes theoretical sociology? Referring to development of my earlier paper (Hamada 1999b), the present paper attempts to answer this question. Relying on Fararo(1989)'s idea that a general theory consists of four hierarchical levels, this paper illustrates a comprehensive model into which the "generative model of income distribution" is incorporated as a constituent model. By this, comprehensiveness of a model is emphasized, on the ground that integration of specific models into a more general and comprehensive one gives us a better chances of finding further theoretical ideas and predictions that are not obtainable if we treat with constituent models in isolation.