First of all, the philosophy of mathematics can help us understand the essence of mathematics. Mathematics is not only a set of symbolic systems and calculation rules, but also a way of thinking and world outlook. By studying the philosophy of mathematics, we can deeply understand the internal logic and structure of mathematics, so as to better understand and master mathematics.
Secondly, mathematical philosophy can promote the development of mathematics. Many important mathematical theories and discoveries in history stem from deep thinking about the essence of mathematics. For example, the discovery of non-Euclidean geometry is the result of questioning and reflecting on Euclidean geometry. Therefore, mathematical philosophy can provide a new perspective and method for mathematical research and promote the innovation and development of mathematics.
Thirdly, mathematical philosophy can help us solve some practical problems. For example, in science and technology, many problems need to be solved by mathematical models. However, by studying mathematical philosophy, we can think critically about these assumptions and premises, so as to better understand and apply these models.
Generally speaking, the study of mathematical philosophy is of great significance for understanding the essence of mathematics, promoting its development and solving some practical problems.