Аннотация:We have analyzed the history of advent of the methodology of formalized description of reality and its impact on society. In the context of the use of mathematical mod- eling systems we have analyzed potential problems of employing the formal approaches. We have arrived at a conclusion that there is a certain danger of applying principles of formaliza- tion in modern information-oriented society, related to increasing application of multi-stage formalization in interaction of the users of computer information systems with the outside world. Thus, the paradigm of formalization, which became one of the forces for progress in the technology-oriented society, works differently in the information-oriented society