1. No question can touch people's emotions as deeply as infinity. Few other concepts can stimulate the mind to produce fruitful thoughts like infinity. However, no other concept can. It needs to be explained like infinity. - Hilbert
2. Mathematics is the science of infinity. - Weil
3. The problem is mathematics ——P.R. Halmos
4. 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 end of independent development or the end of independent development. Decline and Fall.——Hilbert
5. Some beautiful theorems in mathematics have the following characteristics: they are easily summarized from the facts, but the proofs are extremely hidden.—— Gauss
6. Mathematical metaphor: The ancient Greek philosopher Zeno is known as the "Father of Paradoxes". He has four mathematical paradoxes that have been passed down to this day. He once said a famous saying: "The big circle has a little more knowledge than the small circle, but because the circumference of the big circle is longer than that of the small circle, its contact surface with the outside world is larger than that of the small circle, so it feels more Lack of knowledge requires hard work to learn."
7. There is a famous adage that mathematics is much bigger than science because it is the language of science. Mathematics is not only used to write about science, but also can be used to describe life. The following introduces the life mottos of several famous people at home and abroad, both ancient and modern. They are all expressed in very simple "mathematics" (numbers, symbols, mathematical concepts, formulas, etc.), and are profound and wonderful.