For example, complex differential equations can help us predict the infection rate of Ebola virus, and the number theory of studying prime numbers can be used to encrypt and protect the security of our bank accounts. Even quantum mechanics, which sounds profound, can now be used by human beings to explore the mysteries of the universe. ?
Even if you study abstract mathematical theory, you will have a deeper understanding of all kinds of things in the real world. Although these voices have no practical use in ordinary life, they can only be added and subtracted when buying food, but people only have one life, not only material pursuit, but also spiritual pursuit. By understanding the principles of all kinds of interesting things in the world, our spiritual world will be richer.
The definition of mathematics:
Aristotle defined mathematics as "quantitative mathematics", 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.
The early definition of mathematical logic is Benjamin Peirce's Science of Drawing Inevitable Conclusions (1870). In Principles of Mathematics, Bertrand Russell and alfred north whitehead put forward a philosophical program called logicism, trying to prove that all mathematical concepts, statements and principles can be defined and proved by symbolic logic. The logical definition of mathematics is Russell's "All mathematics is symbolic logic" (1903).