Students of social evolution are concerned not only with the general course it has followed, but also with the mechanisms that have brought it about. One such mechanism comes into play when the quantitative increase in some entity, usually population, reaching a certain threshold, gives rise to a qualitative change in the structure of a society. This mechanism, first recognized by Hegel, was seized on by Marx and Engels. However, neither they nor their current followers among anthropologists have made much use of it in attempting to explain social evolution. But as this paper attempts to show, in those few instances when the mechanism has been invoked, it has heightened our understanding of the process of social evolution. And, it is argued, if the mechanism were more widely applied, further understanding of the course of evolution could be expected to result.