Advanced mathematics has its inherent characteristics, that is, high abstraction, strict logic and wide application. Abstraction and computability are the most basic and remarkable characteristics of mathematics. Only a high degree of abstraction and unity can profoundly reveal its essential laws and make it more widely used.
Strict logic means that in the induction and arrangement of mathematical theory, whether it is concept and expression, or judgment and reasoning, we must use the rules of logic and follow the laws of thinking. Therefore, mathematics is also a way of thinking, and the process of learning mathematics is the process of thinking training. The progress of human society is inseparable from the wide application of mathematics.