Does mathematics belong to natural science?
The object of natural science knowledge is the whole nature, that is, various types, states, attributes and motion forms of natural substances. The task of cognition is to reveal natural phenomena and processes, and then grasp the regularity of these phenomena and processes, so as to explain them, foresee new phenomena and processes, and open up various possible ways for rationally and purposefully applying natural laws in social practice.
The two most important pillars of natural science are observation and logical reasoning. By observing nature and logical reasoning, natural science can guide the laws in nature. If the observed phenomenon is different from the prediction of the law, it is either because the observation is wrong or because the law that has been considered to be correct so far is wrong, and supernatural factors are not considered.
According to the traditional usage, natural science can be understood as biological science (involving biological procedures), and physical science (involving the physical and chemical laws of the universe) can be distinguished from chemical science.