Into the Immortal Cultivation

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"At present, to provide a complete view of mathematics, it seems that there are insurmountable difficulties at the beginning, which is

Because its subject matter is extensive, complex and varied. Just like all other mathematics, the number of mathematicians and the number of related mathematics books has grown tremendously since its establishment—this is an ancient problem. "

At the Qianji Pavilion's desk, Wang Qi talked.

"This problem has been raised by our predecessors from the very beginning of mathematics. Indeed, aside from applied mathematics, there has always been a duality in the origin of geometry and the origin of arithmetic. Because, at the beginning of arithmetic It is an arithmetic about discrete quantities, and geometry is always a continuous quantity; these two aspects have caused two opposing views since the discovery of irrational numbers. Moreover, it is the discovery of irrational numbers that unifies the calculation The initial attempt, that is, the arithmetic of the Lizong Bi School in the Middle Ages, failed. "

This is the real idea and the real program of the Bulbaki school. It is not the idea of ​​borrowing the skeleton from the computer operator Hebe Che, but the new structuralist mathematics.

The first thing that started to feel dizzy was the foreign sect guests in the venue. They are not very sophisticated in the field of mathematics, and they do not even understand the disputes between the two routes of sectarianism and collective arithmetic.

Xiang Qi looked at Wang Qi inexplicably. In her impressions, Wang Qi was still a little kid who didn't understand anything a year ago. At most, he was a bit of a marvel among the younger students, but ...

What are he talking about now ...

"Become the same as Junyu's bastard."

But the expression of Wan Famen's fortune-teller gradually changed.

In the recent papers, the operaticists of the Geting School have unanimously displayed a novel idea, which provides a new perspective for understanding arithmetic. It is just so far that most clever mathematicians understand this new idea, but lack the ability to formulate it in a systematic way.

Many people are speculating that a big mathematician from the court sent a programmatic essay, or made a speech internally, and proposed new guiding ideas.

And what Wang Qi is talking about ... is that legendary program? These remarks are clearly structured and clearly structured, and are not some obscure "thoughts" or "inspirations"! Where did he get this?

Where did he go about his relationship with Gotting School and fortune teller Hibache? He has officially entered the court under the court?

The masters looked at Xi Baiche standing in the middle of the auditorium, hoping to see something from the face of the former master.

However, the more sophisticated calculators, such as Jun Pang Jialai, looked at Wang Qi doubtfully.

"This is not Hibache's way ... no, this does indeed share a" bone "with Ge Ting's recent paper, but its" skin "and its" soul "are not the same as Hibich?

"It is impossible for Hibashi to suddenly abandon his way and go this way. Was this kid proposed by Hibiche himself?"

"Or……"

On the other side, Xi Baiche and Feng Luoyi stood side by side. Feng Luoyi shook his head slightly: "Whether he is still sticking to his own way."

"It may not be wrong. And the path he took was naturally biased towards us, and it can complement the current path of our court." Xi Baiche didn't care. He didn't like the theory Wang Qi expounded very much, but Shujun would only hate it more.

At this time, Wang Qi began to elaborate another topic-the method of arithmetic research: "The past mathematicians can only consider their own special problems in a narrow field, but I think we also need to explore the common The point is the unity of mathematics. Mathematics is not just a simple sum of various disciplines, there are inextricable links between various fields of mathematics, and the value of various problems is not the same. The most valuable mathematics is There are closely related issues in various fields, and relatively isolated issues are often of little significance. "

The mathematician Diordogne of the Burbaki School once said that mathematical problems are divided into six categories, namely, unsolvable problems, problems without extension, problems that have no meaning in themselves but new methods in the research process, and general theoretical problems. Problems, problems in the decline field, and meaningless problems. Among them, the first category and the second category are relatively isolated and have little connection with the overall mathematics. Even if they are solved, it is difficult to promote the development of the overall mathematics. The third category is also an isolated problem, but the process of solving this problem will produce new Mathematical methods, these methods can be used to solve other problems.

What is really valuable and can promote the development of the entire mathematical system is the fourth and fifth questions.

Hearing this, Feng Luoyi smiled bitterly: "In addition, this child has a small heart and directly denies Chen Jingyun's words."

For the calculation of the pearl, the Goldbach conjecture is the third type of standard problem. Even if this isolated arithmetic theory proves, it will not greatly promote the number theory.

"Isn't this affirming the significance of Chen's sieve method?" Xi Baiche chuckled: "In fact, I have thought about these things, and you have thought about it. Senior Senior Gao Si also said similar things, even Mr. Pang over there It ’s all this way of thinking. The child just said similar thoughts systematically. "

The half-century of search for two generations of mathematicians of the Bulbaki School, if you want to elaborate, it will take a year to complete all of them. But if only a brief discussion is required, it can still be finished in a short time.

Soon, Wang Qi came to the end: "... The word 'form' only makes us call the axiom method 'formalism' in this sense. The unity it imparts to mathematics is not formal logic. 'Bone', which is the negative entropy of the organism throughout its development, is a convenient and productive way of seeking the way. Perhaps since the beginning of the "group theory", we should accept this-in some areas , We are replacing computing with ideas. "

In the silence, Wang Qi walked off the stage. After a long time, Xi Baiche applauded gently: "Very good."

Under his leadership, the monks in the auditorium gave sparse applause. But no one cares about this now.

Perhaps they have already vaguely felt that China's mathematics is about to turn a new page.

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