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

Because its subject matter is extensive, complex, and varied. As with all other arithmetic, the number of arithmetic scholars and the number of treatises on arithmetic have increased enormously since the establishment of the Ten Thousand Dharmas - this is an age-old problem. ”

On the stage of the Thousand Machines Pavilion, Wang Qi talked eloquently.

"From the beginning of arithmetic arithmetic, our predecessors have already raised this question. Indeed, applied arithmetic aside, there has always been a duality in the origin of geometry and the origin of arithmetic. For, in the beginning, arithmetic is an arithmetic about discrete quantities, whereas geometry is always the arithmetic of continuous quantities; These two aspects have given rise to two opposing views since the discovery of irrational numbers. Moreover, it was the discovery of irrational numbers that made the first attempt to unify this arithmetic, that is, the arithmetic of the Middle Ages, fail. ”

This is the real idea, the real program, of the Bourbaki school, not the idea of borrowing the skeleton by the arithmetic lord Hipperche, but the new structuralist arithmetic.

The first to feel dizzy were the guests of the foreign sect in the venue. They did not have much knowledge in the field of arithmetic, and they did not even know much about the dispute between the two routes of separation and arithmetic.

Xiang Qi glanced at Wang Qi inexplicably. In her impression, Wang Qi is still the little ghost who didn't know anything a year ago, at most, he is a little great among the younger brothers and sisters, but ......

What is he talking about now......

"It's become the same as Junyu's bastard. ”

But the expression of the Wanfa Gate arithmetic gradually changed.

In their recent papers, the scholars of the Goting School have all shown a novel way of thinking that offers a new perspective on how to understand arithmetic. It's just that by now, most savvy arithmetic people have understood this new way of thinking. However, they lack the ability to systematize it.

A lot of people are speculating. A certain great arithmetic of the Goting School wrote a programmatic treatise. Or an internal speech was made, and new guiding ideas were proposed.

And what Wang Qi is talking about now...... Is that the fabled program? These words are clearly and hierarchical, and they are by no means some vague "thoughts" or "inspirations"! Where did he get this?

What is the end of his relationship with the Geting faction and the Arithmetic Lord Xi Baiche? He has officially entered the Geting Sect?

The Grandmasters looked at Xi Baiche who was standing in the center of the auditorium, hoping to see something on the face of the previous Sect Master.

But more clever calculators, such as Pang Jialai, looked at Wang Qi suspiciously.

"This is not the way to go...... No, it's true that this and Geting's recent paper share the same 'bone', but its 'flesh' and 'soul' are different from Xi Baiche's?"

"It is impossible for Hiberche to suddenly abandon his own path and take this path. This is what this kid brought up on his own by the way of Hebcher?"

"Or ......"

And on the other side. Xi Baiche and Feng Luoyi stood side by side. Feng Luoyi shook his head slightly: "In the end, he is still sticking to his own path." ”

"It's not necessarily wrong. And the path he took was inherently biased towards us, and it could complement the current path of our Geting," Xi Baiche didn't care. He didn't really like the theory that Wang Qi was expounding now, but he only hated it even more.

At this time, Wang Qi began to elaborate on another topic-the method of arithmetic research: "In the past, arithmetic scholars could only consider their own special problems in a narrow field, but I think we also need to explore the common denominator, that is, the unity of arithmetic. Arithmetic is not just a simple sum of various disciplines, the various fields of arithmetic are inextricably linked, and the value of various problems is not the same. The most valuable arithmetic is the problem that is closely related to various fields, and the more isolated problems are often of little significance. ”

Theodore, a mathematician of the Bourbaki school, once said that mathematical problems are divided into six categories, namely, problems that cannot be solved, problems that have no extension, problems that have no meaning in themselves but produce new methods in the process of research, problems that produce general theories, problems in the field of decline, and problems that are meaningless. Among them, the first and second categories are relatively isolated and have little to do with arithmetic as a whole, and even if they are solved, it is difficult to promote the development of arithmetic as a whole, and the third category is also an isolated problem. But the process of solving this problem will lead to new mathematical methods that can be used to solve other problems.

It is truly valuable and can promote the development of the entire mathematical system. Or the fourth and fifth category problems.

Hearing this, Feng Luoyi smiled bitterly: "In addition, this kid's heart is a little small, and he directly denied Chen Jingyun's way." ”

The Goldbach conjecture is the third type of problem of the standard, and this isolated arithmetic theory, even if proven, will not make a huge contribution to number theory.

"Doesn't this still affirm the significance of the Chen's sieving method?" Xi Baiche chuckled: "Actually, I have also thought about these things, you have also thought about them, and the senior of Gao Hei has also said similar things, even Mr. Pang over there has this idea." The kid just systematically expressed similar thoughts. ”

If you want to tell in detail about the half-century quest of two generations of mathematicians of the Bourbaki School, it will not take you a year to tell it all. However, if you only ask for a brief discussion, you can still finish it in a short time.

Soon, Wang Qi came to the end: "It is only in this sense that the word ...... 'form' can lead us to call the axiomatic method 'formalism.'" It gives arithmetic a unity that is not a formal logic, but a surplus of arithmetic as a 'bone', which is the negative entropy of the organism throughout its development, a convenient and productive tool for seeking the truth. Perhaps we should accept this since the beginning of 'group theory' - in some areas we are replacing computing with ideas. ”

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

Led by him, the monks in the auditorium gave sparse applause. But no one cares about that anymore.

Perhaps they have vaguely felt that China's arithmetic is about to turn a new page. (To be continued, please search, the novel is better and updated faster!)