Mathematics and economics in the Mobius space: a systems view on the interdisciplinary technologies of cognition

Relations between mathematics and economics as closely interrelated fields of knowledge have been examined in the paper. Despite the centuries of extended debates over this issue the necessity to reconsider requirements for collaboration between mathematics and economics has appeared in today’s rapidly accelerating scientific and technological progress, turbulent economic environment, development of new means of communication, analytics, and decision-making. The general and distinctive features of these disciplines have been explored, and the structural and functional prerequisites and goals for their coordinated and synchronized development have been identified. The results are applied to the processes of economic-mathematical and computer modeling, including construction, analysis and interpretation of models. The principles of evidence-based modeling, which are of a special attention to all stages of modeling, have been emphasized. The feasibility of using the Möbius strip as a space for the coevolutionary development of mathematics and economics is demonstrated. The goals and the objectives of this study are to define principles and methods for organizing effective and reliable interaction between mathematics and economics, both at the macro-scale of disciplinary and interdisciplinary development and at the micro-scale of developing specific economic-mathematical models. Systems analysis of the fundamental, natural and social sciences and humanities is used as a methodological basis. The requirements for the mathematization of economics and the economization of mathematics as perspective areas of interaction between the disciplines have been substantiated and structured.