The problem is the core of mathematics. -P.R halmos

As long as a branch of science can raise a large number of questions, it is full of vitality, and no questions indicate the termination or decline of independent development. -Hilbert

Some beautiful theorems in mathematics have such characteristics: they are easy to be summarized from facts, but the proofs are extremely profound. 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 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 said, "Mathematics is the key to science."

The Bourbaki school holds that "mathematics is a theory to study abstract structures".

Hegel said: "Mathematics is the symbol that God describes nature."

Wilde 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 said: "Mathematics is the study of quantitative relations and spatial forms in real life."

Klein 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." "Books in nature are 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, "Pursuing 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 have readers. "