Abstract:In order to improve the theoretical system of synergistic mining, a discussion on the mathematical basis of synergistic mining and its application potential was carried out. Through synthesizing through a large number of literature, the main mathematical tools of Synergistics are synthesized as probability theory, information theory, stochastic theory and dynamics, mutation theory, self-organization theory and other sciences; based on sympathetic considerations, these sciences are regarded as the contents of the module of "mathematical foundations" of synergistic mining; combined with the analysis of synergistic mining scientific connotations, the potential of the mathematical foundations to be applied in the development and analysis of synergistic mining technology is discussed. Based on the analysis of the contents of synergistic mining science, the potential application of mathematical foundation in the research and development and analysis of synergistic mining technology is explored. The results of the research have laid a mathematical theoretical foundation for the development of synergistic mining technology, enriched and improved the theoretical system of synergistic mining.