As a basic subject in the field of natural science, the core idea of mathematics is based on the logical proof process. All inferences and conclusions of mathematics must be strictly reasoned and proved before they can be recognized and accepted. Therefore, the core of mathematics is a strict logical reasoning system. This system is not only relatively stable and complete, but also the foundation and support of many other disciplines.

Mathematics not only provides the foundation and support for its own development, but also provides strong theoretical support for the vigorous development of other disciplines. In physics, astronomy, geography, biology, economics and other fields, mathematical methods and thinking have played a vital role, making the development of these disciplines more rigorous and complete. Relying on this thinking method and analytical ability of mathematics, human beings explore the mysteries of nature and promote the continuous progress of science and technology.

With the rapid rise of artificial intelligence and big data technology, mathematics will face new challenges and opportunities in its future development. Mathematicians need to constantly explore and tap the application potential of mathematical methods in these new fields, and provide support and theoretical guarantee for them. At the same time, we should pay attention to the renewal of mathematics education, improve students' mathematics literacy, strengthen the cross-integration with other disciplines, and improve the effectiveness and applicability of education. I believe that with the passage of time, mathematics will continue to play a rigorous, efficient, beautiful and practical role as a knowledge reserve.