This article analyzes the borders and the internal structure of the space of a socio-cognitive network. As this requires a rigorous definition of the notion of resemblance between actors of such a network, the article proposes a specification of a currently widely used mathematical definition for the resemblance between two objects: the dual notion of the information distance as defined by work in algorithmic complexity. Here, the more two objects resemble each other, the easier it is to pass from the description of the first to the second, and vice versa. For the case of a complex network with individual cognitive actors, the degree of resemblance between actors is linked to their propensity to communicate. This propensity expresses a conditional probability for a given reticular situation and situates each actor with respect to others in the space thus defined. It provides a structure to the network, and this structure expresses the present of the network as dialectical tension between past and future of its temporal evolution. The concept of the propensity to communicate constitutes a formalization of the notion of specious present analyzed today by the philosophy of the mind and cognitive science, and it functions as a spacio-temporal marker in the evolution of a complex socio-cognitive network.