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What are the beauties of mathematics?
The beauty of mathematics is first reflected in its rigor and logic. Mathematics is the foundation of all sciences, and every theorem and formula of it is obtained through strict logical reasoning, without any ambiguity and uncertainty. This rigor and logic make mathematics an accurate language, which can be used to describe and explain various phenomena in nature.

Secondly, the beauty of mathematics is also reflected in its universality and abstraction. The basic principles and theorems of mathematics are not only applicable to all objects on the earth, but also to all objects in the universe. At the same time, mathematics can abstract complex practical problems and express them with simple symbols and formulas, so that we can better understand and solve problems.

Moreover, the beauty of mathematics is also reflected in its innovation and exploration. Mathematicians have continuously discovered new theorems and formulas through in-depth study of mathematics, which has promoted the development of mathematics. This kind of innovation and exploration makes mathematics full of infinite possibilities and charm.

In addition, the beauty of mathematics is also reflected in its aesthetic value. Many mathematical theorems and formulas have beautiful expressions, such as Euler formula and Feynman diagram, which are the perfect combination of mathematics and art.

Finally, the beauty of mathematics is also reflected in practicality. Many theories and methods of mathematics are widely used in engineering technology, economic management, biomedicine and other fields, and have made great contributions to the development of human society.

Generally speaking, the beauty of mathematics is a kind of deep beauty, which includes both rigorous logic beauty, universal abstract beauty, innovative exploration beauty, aesthetic artistic beauty and practical application beauty.