Quotations about mathematics

1. History makes people wise, poetry makes people elegant, mathematics makes people noble, natural philosophy makes people deep, morality makes people steady, and ethics Learning and rhetoric make people good at arguing. Bacon

2. The first is mathematics, the second is mathematics, and the third is mathematics. Roentgen

3. It would be better to have less, but better. Gauss

4. Mathematics is one of the main expressions of the free creativity of the human mind in addition to language and music, and mathematics has become a medium for understanding everything in the universe through theoretical construction. Therefore, mathematics must remain the main component of knowledge, skills and culture, and knowledge and skills must be passed on to the next generation, and culture must be passed on to the next generation. Quotations from German mathematician Hermann Weyl

5. Mathematics is the key to science. Ignoring mathematics will harm all knowledge, because people who ignore mathematics cannot understand any other science or even anything else in the world. . What is more serious is that the person who neglects mathematics cannot understand his own negligence, which will eventually lead to the inability to seek any remedial measures. Bacon, Roger

6. I always try my best to get rid of the heavy and monotonous calculations. Napier

7. Geometry, theoretical arithmetic and algebra. These subjects have no other principles except definitions and axioms, and no other proof process except deduction. But in this process, they have been synthesized. It combines simplicity, complexity, rigor and generality, a characteristic not shared by other disciplines. Whewell, W.

8. As long as a branch of science can raise a large number of questions, it is full of energy, while the lack of questions heralds the termination or decline of independent development. Hilbert

9. Mathematics is the key to opening the door to science. Bacon

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

11. 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 danger of being overturned by newly discovered facts. . Einstein

12. I spent the best time of my life pursuing that goal, and the book has been written. It doesn't matter whether it is read by modern people or by future generations. It may take a hundred years before there is a reader. Kepler

13. Mathematics is a unique art. Halmos

14. Questions are the heart of mathematics. P.R.Halmos

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

16. Mathematics is a culture that will continue to evolve. Wilder

17. Mathematics is the queen of science, and number theory is the queen of mathematics. Gauss (Gauss) music can inspire or soothe feelings, painting can make people pleasing to the eye and touch the heartstrings, philosophy can make people gain wisdom, and science can improve Material life, but mathematics can give all the above. Klein

18. Mathematics is symbols plus logic. Russell

19. 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

20. Mathematics is an infinite science. Hermann Weyl

21. Prove that one-half is equal to 0. Gauss

22. Some beautiful theorems in mathematics have the following characteristics: they are easily summarized from facts, but the proofs are extremely hidden. Gauss

23. Mathematical knowledge has three main characteristics that are different from other knowledge: first, mathematical knowledge makes its results more truthful than other knowledge; second, mathematical knowledge is to obtain other correct results. The first step that knowledge must pass through; the third is that the acquisition of mathematical knowledge does not depend on other knowledge. Schubert, H.

24. Mathematics is a variety of proof techniques. Wittgenstein

25. What gives me the greatest happiness is not the knowledge I have already understood, but the continuous acquisition; not the things I already have, but the continuous acquisition; not the height I have reached, but the continuous acquisition. of climbing.

Gauss

26. 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. Kepler

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

28. 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

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

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

31. No question can touch people's emotions as deeply as infinity. There are few other concepts that can produce as fruitful thoughts as rationally as infinity. However, there is no other Concepts can be endlessly in need of elucidation. Hilbert

31. No subject can illustrate the harmony of nature more clearly than mathematics. Carus, Paul

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

33. The essence of mathematics lies in its freedom. Kang Muer

34. Philosophers also need to learn mathematics, because they must jump out of the vast sea of ??ever-changing phenomena and grasp the real essence. hellip; hellip;And because this is the shortcut for the soul to transition to truth and eternity. Plato

35. Mathematics is God’s symbol for describing nature. Hegel

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

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

38. Mathematics is the highest achievement in human thinking. Mishra

39. In mathematics, our main tools for discovering truth are induction and simulation. () Laplace

40. Numbers govern the universe. Pythagoras

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

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

43. In the field of mathematics, the art of asking questions is more important than the art of answering questions. Kang Muer. Cantor

44. 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

45. 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 mathematics is in physics. Has incredible power. Qiu Chengtong

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

47. Mathematicians pay no attention to statements or conjectures. They deduce everything based only on definitions and axioms, and use arguments and reasoning. In fact, it is incorrect to call those theories established only by conjectures or hypotheses as science, because conjectures often resort to certain opinions or claims, and therefore they cannot produce knowledge from them. Reid, Thomas

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. Mathematics is advancing unfettered along its own path. This is not because it has any license to be exempted from legal constraints, but because mathematics inherently has A freedom determined by its nature and consistent with its existence. Hankel, Hermann

50. Mathematics is a spirit, a rational spirit.

It is this spirit that inspires, promotes, inspires and drives human thinking to the most perfect level. It is also this spirit that tries to decisively influence human material, moral and social life; it tries to answer questions about human existence. questions; strive to understand and control nature; strive to explore and establish the deepest and most perfect connotation of acquired knowledge. Klein "Mathematics in Western Culture"

51. Mathematics is the highest form of all knowledge. Plato

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

53. When mathematicians derive equations and formulas, they get full happiness just like seeing statues, beautiful scenery, hearing beautiful tunes, etc. Kopnin