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." Newton said, "Without bold guesses, great discoveries are impossible." Halmos said, "The creation of mathematics can never be realized by inference alone. First, it's usually some vague guesses, trying to figure out the possible promotion, 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, "Pursue that goal in the best time of my life …". . 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 to get 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 enjoys a high reputation is that mathematics theorizes natural science and gives it 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. "
Pierre (Canadian biologist) said: "Ecology is essentially a mathematics."
Kepler said: "Mathematics has made an important contribution to observing nature. It explains the simple primitive elements in the regular structure, with which celestial bodies are built. "
Fourier said: "The main goal of mathematics is the public interest and the explanation of natural phenomena."
Lobachevsky said: "No matter how abstract any branch of mathematics is, it will be applied to the real world one day."
Leibniz said: "With one, everything can be created from nothing."
Aristotle said, "Thinking begins with doubt and surprise."
Knowles said: "Mathematicians are fascinated by nature. Without fascination, there is no mathematics."