What does the math manuscript say?

This is written in the mathematical manuscript:

First, write famous sayings about mathematics:

1, Russell said, "Mathematics is symbolic 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".

6. Bourbaki school (French mathematical research group) thinks that "mathematics is a theory to study abstract structures".

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

8. 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".

10, the court said: "Mathematics is the brightest pearl in the crown of human wisdom".

Second, write the meaning of mathematics:

Mathematics, as an expression of human thinking, embodies people's aggressive will, meticulous logical reasoning and pursuit of perfection. Its basic elements are: logic and intuition, analysis and reasoning, individuality and individuality. Although different traditional schools can emphasize different aspects, it is the interaction of these opposing forces and their comprehensive efforts.

It constitutes the vitality, usability and lofty value of mathematical science.

Third, write a short story about mathematics:

Cantor: Many great mathematicians take an evasive attitude because they are afraid of being stuck, because they often get some logical but absurd results (called "paradoxes") when they study infinitely. During the period of 1874- 1876, Cantor, a young German mathematician less than 30 years old, declared war on the mysterious infinity.

With hard sweat, he successfully proved that points on a straight line can correspond to points on a plane one by one, and can also correspond to points in space one by one. In this way, it seems that there are as many points on the line segment of 1 cm as there are points on the Pacific Ocean and the whole earth. In the following years, Cantor published a series of articles about this "infinite set".

Through strict proof, many amazing conclusions have been drawn. Cantor's creative work has formed a sharp conflict with the traditional mathematical concept, which has been opposed, attacked and even abused by some people. Some people say that Cantor's set theory is a kind of "disease", Cantor's concept is "fog in fog", and even Cantor is a "madman".

Great mental pressure from the authority of mathematics finally destroyed Cantor, making him exhausted, suffering from schizophrenia and being sent to a mental hospital.