Introduction:
Mathematics Mathematics is a discipline that studies the concepts of quantity, structure, change, space and information, and belongs to a formal science from a certain point of view.
Mathematics is produced by counting, calculating, measuring and observing the shape and motion of objects through abstract and logical reasoning. In many countries and regions, mathematics has become a part of education. It is applied in different fields, including science, engineering, medicine, economy and finance. Mathematicians also study pure mathematics, which is the substantive content of mathematics itself and does not aim at any practical application.
Aristotle defined mathematics as "quantitative science", which lasted until18th century. /kloc-since the 0/9th century, mathematical research has become more and more rigorous, and it has begun to involve abstract topics such as group theory and projection geometry that have no clear relationship with quantity and measurement. Mathematicians and philosophers have begun to put forward various new definitions. Some of these definitions emphasize the deductive nature of a lot of mathematics, some emphasize its abstraction, and some emphasize some themes in mathematics.
Even among professionals, the definition of mathematics has not been reached. Whether mathematics is an art or a science has not even been decided. Many professional mathematicians are not interested in the definition of mathematics or think it is undefined. Some just said, "Mathematics is done by mathematicians."
The three main mathematical definitions are called logicians, intuitionists and formalists, each of which reflects a different school of philosophical thought. Everyone has serious problems, no one generally accepts it, and no reconciliation seems feasible.