Abstract: Since the middle of 20th century, with the birth of computer and its increase effect on science and society, the thought and method of discrete mathematics have developed rapidly and new forms of knowledge with more multiple, tensions and vigor were emerged. The knowledge innovation of discrete mathematics has representative paradigm revolutionary character. As a breakthrough and transcending of the paradigm of calculus, the discrete mathematics has gone beyond the bound of traditional mathematics and showed new philosophical features in ontology, epistemology and methodology of mathematics. Complement with the development of computer and information science each other, the discrete mathematics demonstrated the contemporary scientific revolution features such as discretization, algorithmization, complexity and more tightly interaction with science, as well as the unique implication of group of disciplinary knowledge and complex science.