Axiomatization of mathematics is one of the important methods to promote the development of mathematics. By clearly defining the basic concepts and relations, it establishes a series of logical reasoning rules, which makes the mathematical theory rigorous and systematic. The application of axiomatic method enables mathematicians to study mathematical problems more deeply and discover new theorems and properties, thus promoting the development of mathematics.

First of all, axiomatic method is helpful to simplify mathematical theory. Mathematicians can understand and master complex mathematical concepts and relationships more easily by decomposing them into simpler and more basic elements. This makes the mathematical theory more clear and easy to understand, and lays the foundation for subsequent research and application.

Secondly, the axiomatic method is helpful to discover new mathematical theorems and properties. Mathematicians can deduce new theorems and properties through logical reasoning of existing axioms. These new discoveries not only enrich the mathematical theoretical system, but also provide new ideas and methods for solving practical problems.

In addition, the axiomatic method is also helpful to promote the communication and integration between different mathematical fields. Mathematicians can find similarities and connections in different fields by establishing a unified axiom system, thus promoting mutual reference and development among various fields.

In a word, the axiomatic method of mathematics is of great significance to promote the development of mathematics. It makes mathematical theory more rigorous, systematic and easy to understand, provides a way to discover new theorems and properties, and promotes the communication and integration between different mathematical fields. With the continuous development of science and technology, the axiomatic method of mathematics will continue to play an important role in promoting the development of mathematics to a higher and deeper level.