The paper explores the information (conceptual) systems in terms of the hierarchies of conceptual and material systems. Such systems are an objectoriented from the system-object approach side. The conceptual systems of which are external systems (systems-classes) that determine the properties of specific objects and objects are material or internal systems (facts systems) that implement real interactions. The paper also considers the results of a formal description of the hierarchy of conceptual systems. It takes into account their systemic relationships using a description logic for formalizing certain states of the system-object approac
