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

---Hilbert

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

Philosophers also need to 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

Gauss (the prince of mathematics) said: "Mathematics is the king of science"

Russell said: "Mathematics is symbols plus logic"

Complete Dagorath said: "Numbers govern the universe"

Halmos said: "Mathematics is a unique art"

Mishra said: "Mathematics is the human "The highest achievement in thinking"

Bacon (British philosopher) said: "Mathematics is the key to open the door to science"

The Bourbaki School (French mathematics research group) believes: "Mathematics is the study of abstract structures."

Hegel said: "Mathematics is God's symbol for describing nature."

Wilder (President of the American Mathematical Society) said: "Mathematics is a A culture that will continue to evolve."

Plato said: "Mathematics is the highest form of all knowledge."

Court said: "Mathematics is the brightest pearl in the crown of human wisdom."

Descartes said: "Mathematics is a tool of knowledge and the source of other tools of knowledge. All sciences that study order and measurement are related to mathematics."

Engels (Nature Dialectic philosopher) said: "Mathematics is the study of quantitative relationships and spatial forms in real life

Klein (American mathematician) said: "Mathematics is a rational spirit that enables human thinking to can be applied to the most perfect degree." Galileo said: "Give me space, time, and logarithms, and I can create a universe." "The books of nature are written in the language of mathematics."

Newton said: "Without bold conjectures, great discoveries cannot be made," Halmos said: "Mathematical creation can never be achieved by inference alone. First of all, it is usually some vague guesses and speculations. Looking at possible generalizations, he then drew conclusions that were not very certain. Then organize your thoughts until you see the clues to the facts. It often takes a lot of effort to put everything into logical proof. This process does not happen overnight. It requires many failures, setbacks, repeated guessing and speculation, and it is common for several months to be wasted in temptation. ”

Laplace said: “In mathematics, our main tools for discovering truth are induction and simulation”

Wittgenstein said: “Mathematics is a variety of Proof skills"

Hua Luogeng said: "New mathematical methods and concepts are often more important than solving mathematical problems themselves"

Napier said: "I always try my best to In order to get rid of that heavy and monotonous calculation"

Kepler said: "I spent the best time of my life pursuing that goal... The book has been written. It doesn’t matter whether modern people read it or future generations read it. It may take a hundred years before there is a reader."

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

Einstein said: "One of the reasons why mathematics is respected above all other sciences is because its propositions are absolutely reliable and indisputable. , while other sciences are constantly in danger of being overturned by newly discovered facts. …. 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. ”

Qiu Chengtong said: “After modern high-energy physics reaches quantum physics, there are many experiments that cannot be done at all. You can use paper and pen to calculate at home. This is not far from what mathematicians think, so mathematics is It has incredible power in physics."

Roentgen said: "The first is mathematics, the second is mathematics, and the third is mathematics."

Hua Luogeng said: "The universe is so big, the particles are so big." Micro, the speed of rockets, the ingenuity of chemical engineering, the changes in the earth, the mysteries of biology, the complexity of daily life, mathematics is used everywhere. "

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

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