First of all, mathematics, as a quantitative model, is obviously a description of the objective world, which is obviously objective compared with the cognitive subject. On the basis of affirming this "objectivity" of mathematical objects, we confirm that the object of mathematical research is not the real existence in the material world after all, but the product of abstract thinking and an artificially agreed rule system. Mathematicians are always inventing new forms of description in order to describe the world, but mathematicians are actually inventors. At the same time, the quantitative model invented by mathematicians not only has applications in science and technology, but also has effects in the spiritual field (for example, people usually say mathematical concepts, such as reasoning consciousness, transformation consciousness, overall consciousness, abstract consciousness, mathematical aesthetic consciousness, etc. Therefore, from the above two aspects, mathematics is a kind of culture.
Secondly, because people who study mathematics have gradually formed a "mathematical isomorphism", according to Mr. Zheng Yuxin's view of modern culture, mathematics is indeed a kind of culture.
Thirdly, mathematics provides a methodological basis and technical means for human culture from the perspectives of thinking and technology, which greatly enriches human culture and promotes its development. Therefore, mathematics is an organic and most important part of human culture. As Mr. Qi Youmin said, mathematics, as a culture, has greatly promoted the emancipation of human mind in the past and now. "Without modern mathematics, there would be no modern culture; A culture without modern mathematics is doomed to decline. "
To sum up, through the analysis of mathematics culture from the above different angles, we have no reason not to say that mathematics is a culture.