-Hilbert
Some beautiful theorems in mathematics have the following characteristics: they are easy to be summarized from facts, but their proofs are extremely hidden. Gauss
Philosophers should also study mathematics, because he must jump out of the vast phenomenon and grasp the real essence. ..... and because it is a shortcut for the soul to transition to truth and eternity. -Plato
Gauss (Prince of Mathematics) said, "Mathematics is the king of science."
Russell said, "Mathematics is symbol plus logic."
Pythagoras said, "Numbers dominate the universe."
Halmos said, "Mathematics is a unique art."
Misra said: "Mathematics is the highest achievement of human thinking."
Bacon (English philosopher) said, "Mathematics is the key to science."
Bourbaki School (a French mathematical research group) holds that "mathematics is a theory to study abstract structures".
Hegel said: "Mathematics is the symbol that God describes nature."
Oscar Wilde (president of the American Mathematical Society) said: "Mathematics is 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 the tool of knowledge and the source of other knowledge tools. All the sciences that study order and measurement are related to mathematics. "
Engels (philosopher of dialectics of nature) said: "Mathematics is mathematics that studies the quantitative relationship and spatial form in real life.
Klein (American mathematician) said: "Mathematics is a rational spirit, which enables human thinking to be applied to the most perfect degree." Galileo said, "Give me space, time and logarithm, and I can create a universe." "The book of nature is written in mathematical language."
Newton said, "Without bold speculation, there will be no great discovery",
Halmos said: "The creation of mathematics can never be achieved by inference alone. First, it's usually some vague guesses, trying to figure out the possible popularization, and then drawing an uncertain conclusion. Then sort out the train of thought until you see the clues of the facts, and it often takes a lot of effort to put everything into logical proof. This process cannot be accomplished overnight. It is common to experience many failures and setbacks, guess and imitate again and again, and spend a few months in temptation. "
Laplace said: "In mathematics, the main tools for us to find truth are induction and simulation."
Wittgenstein said: "Mathematics is all kinds of proof skills."
Hua said: "New mathematical methods and concepts are often more important than solving mathematical problems themselves."
Napier said: "I always try my best to get rid of that heavy and monotonous calculation."
Kepler said, "In the best time of my life, it doesn't matter whether modern people in .............................................................................................................................................................. read it or later generations read it. It may take a hundred years to have readers. "
Napoleon said: "Only by vigorously developing mathematics can a country show its national strength. The development and perfection of mathematics is closely related to the prosperity of the country. "
Einstein said: "One reason why mathematics is more respected than all other sciences is that his proposition is absolutely reliable and indisputable, while other sciences are often in danger of being overthrown by newly discovered facts. ..... Another reason why mathematics has a high reputation is that mathematics makes natural science theorem and gives natural science a certain degree of reliability. "
Qiu Chengtong said: "After modern high-energy physics reaches quantum physics, many of them can't do experiments at all, which is not much different from what mathematicians think, so mathematics has incredible power in physics."
Roentgen said: "The first is mathematics, the second is mathematics, and the third is mathematics."
Hua said: "The size of the universe, the tiny particles, the speed of rockets, the ingenuity of chemical engineering, the change of the earth, the mystery of biology and the complexity of daily use require mathematics everywhere."
Von Newman said: "Mathematical methods permeate and dominate all theoretical branches of natural science. It has increasingly become the main symbol of measuring scientific achievements. "