This paper explores ontology of the multitude, reflecting the theory of General Intellect by A. Negri, M. Lazzarato, P. Virno, M. Pasquinelli and others. General Intellect is given as a synonym of cognitive capacity of society, that may either provide liberation from capitalism or be exploited by the capitalistic organisation of society. 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 though to some extent General Intellect may denote capacity for the self-organization of society, it is difficult 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.