1. Mathematics is symbols plus logic. ——Russell

2. Numbers rule the universe. ——Pythagoras

3. Ecology is essentially mathematics. ——Pillo

4. Mathematics is an infinite science. ——Herman Weyl

5. The essence of mathematics lies in its freedom. ——Cantor

6. Mathematics is the key to opening the door to science. ——Bacon

7. Mathematics is God’s symbol for describing nature. ——Hegel

8. Mathematics is the highest form of all knowledge. ——Plato

9. Pure mathematics is the magician’s real magic wand. ——Novales

10. Mathematics is a unique art. ——Halmers

11. Mathematics is a culture that will continue to evolve. —— Wilder

12. Mathematics is a variety of proof techniques. ——Wittgenstein

13. Mathematics is the highest achievement in human thinking. ——Mizra

14. Mathematics is the most brilliant pearl in the crown of human wisdom. ——Court

15. Mathematics is the theory of studying abstract structures. ——The School of Bourbaki

16. The beauty of mathematics lies naturally and clearly. ——Halmers

17. Mathematics, the queen of science; arithmetic, the queen of mathematics. ——Gauss

18. Logic is the boyhood of mathematics, and mathematics is the adulthood of logic. ——Russell

19. Mathematicians are essentially obsessed. Without obsession, there would be no mathematics. —— Nuvales

20. The scientific level of a country can be measured by the mathematics it consumes. ——Rao

21. Mathematics, like music or poetry, obviously does have aesthetic value. ——Jacobi

22. The main goal of mathematics is the public interest and the explanation of natural phenomena. ——Fourier

23. What delights me most in mathematics are those things that can be proven. ——Russell

24. Mathematics is the study of quantitative relationships and spatial forms in real life. ——Engels

25. In mathematics, our main tools for discovering truth are induction and simulation. ——Laplace

26. New mathematical methods and concepts are often more important than solving mathematical problems themselves. ——Hua Luogeng

27. Mathematics, if viewed correctly, not only possesses truth, but also has supreme beauty. ——Russell

28. Mathematics can promote people’s understanding of the characteristics of beauty—the order of numerical proportions, etc. ——Aristotle

29. In the field of mathematics, the art of asking questions is more important than the art of answering questions. ——Cantor

30. Pure mathematics can be practical and useful, and applied mathematics can also be beautiful and elegant. ——Halmers

31. Mathematics is a rational spirit that enables human thinking to be used to the most perfect degree. ——Klein

32. In mathematics, it is important to distinguish what is important and what is not important, and to know what to choose. ——Guangzhong Pingyou

33. A science can only achieve true perfection when it successfully uses mathematics. ——Marx

34. The most important achievement of modern mathematics is to truly reveal the entire face of mathematics and its essential existence. ——Russell

35. No matter how abstract any branch of mathematics is, it will one day be applied to the real world. ——Lobachevsky

36. In its modern stage of development, the science of pure mathematics can be said to be the most original creation of the human spirit. ——Whitehead

37. Those who insist that there is no beauty in mathematical science are wrong. The main forms of beauty are order, symmetry and clarity. ——Aristotle

38. People who aspire to physics will not be able to understand the following things: the first is mathematics, the second is mathematics, and the third is mathematics.

——Roentgen

39. In reality, there are not so many things like mathematics, which have lasted for thousands of years and are still so beautiful. ——Sullivan

40. Mathematics is a tool of knowledge and the source of other knowledge tools. All sciences that deal with order and measurement are related to mathematics. ― Descartes

41. Some beautiful theorems in mathematics have this characteristic: they are easily summarized from facts, but the proofs are extremely hidden. ——Gauss

42. Mathematical methods penetrate and dominate all theoretical branches of natural science. It has increasingly become the primary measure of scientific achievement. ——Von Neumann

43. The universe is huge, the particles are tiny, the speed of rockets, the ingenuity of chemical engineering, the changes in the earth, the mysteries of biology, and the complexity of daily life. Mathematics is used everywhere. ——Hua Luogeng

44. Mathematical science presents one of the most brilliant examples, showing that pure reasoning can successfully expand people's cognitive fields without resorting to experiments. ——Kant

45. When mathematicians derive equations and formulas, they get full happiness just like seeing beautiful scenery of statues, hearing beautiful tunes, etc. ——Kopning

46. I think it is correct to say that the criteria for a mathematician to choose a topic and judge his success are mainly aesthetic criteria. ——Feng. Neumann

47. Only with the vigorous development of mathematics can a country show the strength of its national foundation. The development of mathematics is closely related to the highest good and the prosperity of the country. ——Napoleon

48. Another reason why mathematics has a high reputation is that mathematics enables natural science to achieve theoremization and gives natural science a certain degree of reliability. ——Einstein

49. Feeling the beauty of mathematics, feeling the coordination of numbers and shapes, and feeling the elegance of geometry are the true feelings of beauty that all true mathematicians know. ——Poincaré

50. Mathematicians are like lovers - give a mathematician the smallest principle, and he will lead to a result that you must admit, and from this to another. ——Fortanelli

51. We can expect that with the development of education and entertainment, more people will appreciate music and painting. However, the number of people who can truly appreciate mathematics is very small. ——Bells

52. I have heard some people say that I am an opponent of mathematics and an enemy of mathematics, but no one respects mathematics more than me, because it has accomplished what I have never achieved. performance. ——Goethe

53. Philosophers must also learn mathematics, because they must jump out of the vast sea of ??ever-changing phenomena and grasp the true essence. and because it is the shortest way to the transition of the soul to truth and eternity. ——Plato

54. History makes people wise, poetry makes people elegant, mathematics makes people noble, natural philosophy makes people deep, morality makes people steady, and ethics and rhetoric make people good at it. debate. ——Bacon

55. A mathematician without some poetic talent will never become a complete mathematician. ——Weierstrass Pure mathematics, by its very nature, is the poetry of logical thought. ——Einstein

56. Mathematicians, like painters or poets, are makers of styles... Mathematicians’ styles, like those of painters or poets, must be beautiful... There is no ugly mathematics in the world permanent place of residence. ——Hardy

57. But there is another reason for the high reputation of mathematics: it is mathematics that gives various precise natural sciences a certain degree of reliability. Without mathematics, they would not be able to obtain such reliability. ―Albert Einstein

58. Another reason why mathematics is highly respected is that it is precisely mathematics that provides unquestionable and reliable guarantee for precise natural science. Without mathematics, they would This level of reliability cannot be achieved. ——Einstein

59. One reason why mathematics is respected more than all other sciences is because its propositions are absolutely reliable and indisputable, while other sciences are often in the process of being newly discovered. The danger of overturned facts.

——Einstein

60. In the evaluation of mathematical theorems, aesthetic standards are more important than logical standards and practical standards: in the evaluation of mathematical ideas, whether beauty and elegance are more important than Strict correctness is much more important than whether it is useful. ——Steen

61. After modern high-energy physics reaches quantum physics, many experiments cannot be done at all. You can do calculations at home with paper and pen. This is not far from what mathematicians think, so it is said Mathematics has incredible power in physics. ——Qiu Chengtong

62. A kind of peculiar beauty rules the kingdom of mathematics. This kind of beauty is not as similar as the beauty of art and the beauty of nature, but she deeply infects people's hearts and inspires them. Appreciation of her is very similar to the beauty of art. ——Cuomo

63. When I listen to others explaining certain mathematical problems, I often find it difficult or even impossible to understand. At this time, I thought, can the problem be simplified? Often, after you finally figure it out, it's actually just a simpler problem. ——Hilbert

64. Mathematics has made an important contribution to the observation of nature. It explains the simple primitive elements in the regular structure, and the celestial bodies are built with these primitive elements. ——The main goal of Kepler's mathematics is the public interest and the explanation of natural phenomena. ——Fourier

65. Mathematics is a creative art, because mathematicians create beautiful new concepts; mathematics is a creative art, because mathematicians live like artists; mathematics is a creative art, Because that's what mathematicians think. ——Halmers

66. Mathematics is a tool that is particularly suitable for dealing with any kind of abstract concepts, and its role in this regard is endless. Therefore, a book discussing the new physics, if it does not simply describe experimental work, must be essentially a mathematical book. ——Dirac

67. Mathematics is the queen of science, and number theory is the queen of mathematics. Gauss (Gauss) music can inspire or soothe people's emotions, paintings can make people happy, poetry can move people's hearts, and philosophy can make people gain wisdom. , science can improve material life, but mathematics can give all the above. ——Klein

68. Mathematics is a spirit, a rational spirit. It is this spirit that inspires, inspires and drives human thinking to the most perfect level. It is this spirit that tries to decisively influence human material morality and social life; it tries to answer questions about human existence. ; strive to understand and control nature; strive to explore and establish the deepest and most perfect connotation of acquired knowledge. ——Klein

69. Can’t music be described as the mathematics of feeling, and mathematics as the music of rationality? In this way, musicians feel mathematics, and mathematicians think of music—music is Dream, mathematics is a life of work - each side reaches perfection through the other. At that time, the model of human wisdom reaching perfection will be praised by Mozart-Dirichlet or Beethoven-Gauss in some future Down and dazzling. This union was clearly foreshadowed in the genius and work of one Helmholtz. - Silverster

70. Generally speaking, I would like to regard mathematics as an art rather than a science. Because we can say that the activities of a mathematician, when he is guided by the external rational world instead of being controlled, constantly carries out creative activities, are similar to the activities of an artist or a painter, and have real, not illusory similarities. point. The rigorous deductive reasoning on the part of a mathematician can be likened to the painting skills on the part of a painter. Just as a person without certain skills cannot become a good painter, a person without certain precise reasoning abilities cannot become a good mathematician. However, although these are their basic qualities, they are not enough to make a painter or mathematician worthy of the name. Drawing skills and reasoning ability are, to be honest, not the most important factors after all. Far more sensitive, for both are chief among the qualities that make a great artist or a great mathematician is imagination.

——Bo Xie

Everything is numbered. ——Pythagoras

There is no king of geometry. ——Euclide

Mathematics is the text God used to write the universe. ——Galileo[2]

I am determined to give up that mere abstract geometry. That is to say, no longer consider problems that are merely used to practice thinking. I did this in order to study a different kind of geometry, one whose purpose is to explain natural phenomena. ——Rene Descartes (1596-1650)

Mathematicians are trying to discover some order in the sequence of prime numbers on this day. We have reason to believe that this is a mystery that the human mind can never penetrate. ——Euler

Some beautiful theorems in mathematics have the following characteristics: they are easily summarized from the facts, but the proofs are extremely hidden. Mathematics is the king of science. ——Gauss

This is the benefit of a well-structured language. Its simplified notation is often the source of profound theories. ——Laplace (Pierre Simon Laplace 1749-1827)

It would be a serious mistake to think that necessity is only found in geometric proofs or in sensory evidence. ——Augustin Louis Cauchy (1789-1857)

A paper filled with mathematical formulas

The essence of mathematics lies in its freedom. ——Georg Ferdinand Ludwig Philipp Cantor 1845-1918 But mathematics can give all of the above. ——Klein