This paper explores the problem of the structure of General Intellect, the theory of which is developing in the postoperaismo intellectual movement. In this paper General Intellect is analysed as a property of a social connection structure, named here as heterarchy. As connection structure heterarchy forms different kinds of singularities: aggregations made by statistical repetitions of relations and individual egos making values through their goal setting and other intellectual activity. The main argument of the article is that although to some extent General Intellect may denote capacity for the self-organization of society, it is diffi cult to identify it with only one particular institutional organisation or political regime. General Intellect appears in any type of social structuring through self-organising processes.