Methodology and applied methods for creating models of societies dwell on parameters for interacting agents. «Love», «power», «money», «truth» and other socially coded constituencies of «inter-subject» inter-agent relations influence both the way in which agents are represented as personalities, and the process of artificial personality creation. Therefore, an urgent issue is the study of artificial intelligence topic in the course of artificial society problem. The above issue was outlined in the very development of philosophy for artificial intellect in the middle of the 20th century. It was particularly reflected in the search for an answer to the question: «Can computer become a personality?» This question began to be actively discussed at least 15 years ago at symposiums and conferences, and in many articles and publications. A special field of inter-disciplinary research, called «artificial intelligence project» emerged, as well. The main purpose of this paper is to acquaint the reader with this project, as it is usually not mentioned in the Russian philosophic science. Another goal of the paper is to outline difficulties and problems, which arise within the study of «personal» abilities of computer systems.