Enter the Immortal Cultivation

"At present, providing a complete view of arithmetic seems to have insurmountable difficulties from the beginning. This is

Because its subject matter is broad, complex, and varied. As with all other arithmetic, the number of mathematicians and the number of treatises on arithmetic has grown tremendously since its inception - this is an age-old problem. "

On the podium of Qianji Pavilion, Wang Qi talked eloquently.

"Our predecessors have already asked this question since the beginning of arithmetic. Indeed, leaving aside applied arithmetic, 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, while geometry is always arithmetic about continuous quantities; these two aspects have resulted in two opposing views since the discovery of irrational numbers. Moreover, it was the discovery of irrational numbers that unified this arithmetic. The first attempt, that is, the arithmeticization of the Li Zongbi School in the Middle Ages failed."

This is the real thought and program of the Bourbaki school. It is not the idea borrowed from the skeleton by the calculated master Xibaiche, but the new structuralist arithmetic.

The first person to feel dizzy was the guests from other sects in the venue. They are not very sophisticated in the field of arithmetic, and they don't even know much about the disputes between the two lines of lianzong and zong and set arithmetic.

Xiang Qi glanced at Wang Qi inexplicably. In her impression, Wang Qi was still the kid who didn't understand anything a year ago. At most, he was somewhat remarkable among the junior brothers and sisters, but...

What the hell is he talking about now...

"He's become like that bastard Jun Yu."

But the expression of Wanfamen's mathematician gradually changed.

The mathematicians of the Goting School all showed a novel way of thinking in their recent papers. This line of thinking provides a new perspective on understanding arithmetic. It's just that so far, most smart mathematicians understand this new idea, but lack the ability to express it systematically.

Many people are speculating that a certain great strategist of the Goting School wrote a programmatic paper or gave an internal speech. New guiding ideas were put forward.

And what Wang Qi is talking about now...is that the legendary program? These words were spoken in a clear and logical manner, and were definitely not some hazy "thoughts" or "inspirations"! Where did he get this?

To what extent has his relationship with the Geting Sect and the Calculator Xibeche reached? Has he officially become a member of the Geting family?

The masters all 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 the more sophisticated mathematicians, such as Pang Jialai, looked at Wang Qi doubtfully.

"This is not Xi Bai Che's path... No, this does share the same 'bone' with Ge Ting's recent paper, but its 'skin, flesh' and 'soul' are different from Xi Bai Che's?"

"It's impossible for Xi Bai Che to suddenly give up his own path and take this path. Did this child come up with it on his own through Xi Bai Che's path?"

"Or……"

And on the other side. Xi Baiche and Feng Luoyi stood side by side. Feng Luoyi shook his head slightly: "He is still sticking to his own path after all."

"It's not necessarily wrong. Moreover, the path he took is naturally biased toward us. It can complement the current path of our Geting." Xi Boche didn't care. He doesn't really like the theory Wang Qi is expounding now, but Suanjun will only hate it even more.

At this moment, Wang Qi began to elaborate on another topic - methods of mathematical research: "In the past, mathematicians could only consider special problems in a narrow field of their own, but I think we also need to explore the commonalities between them. The point is the unity of arithmetic. Arithmetic is not just a simple sum of various disciplines. There are inextricable connections between various fields of arithmetic, and the value of various problems is different. The most valuable arithmetic is related to mathematics. There are closely related problems in various fields, while more isolated problems are often of little significance.”

Diodonne, 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 meaningless results but produce new methods in the research process, and problems that produce general theories. problems, problems in declining areas, and nonsense. Among them, the first and second categories are relatively isolated in themselves and have little connection with arithmetic as a whole. Even if it is solved, it will be difficult to promote the overall development of arithmetic. The third category is also an isolated problem, but the process of solving this problem will produce new mathematical methods, which can be used to solve other problems.

What are truly valuable and can promote the development of the entire mathematical system are the fourth and fifth types of questions.

Hearing this, Feng Luoyi smiled bitterly: "Besides, this kid is a bit petty, and he directly rejected Chen Jingyun's teaching."

As a matter of fact, Goldbach's conjecture is a standard third-category problem. Even if this isolated arithmetic theory is proved, it will not give a huge boost to number theory.

"Doesn't this still confirm the significance of Chen's screening method?" Xi Boche chuckled: "Actually, I have thought about these things. You have also thought about it. Senior Gao Si also said similar things. Even Mr. Pang over there Everyone has this idea. This kid just expressed similar ideas in a systematic way."

Two generations of mathematicians from the Bourbaki school have been searching for half a century. If we were to describe it in detail, we would not be able to explain it all in one year. But if only a brief discussion is required, it can still be completed in a short time.

Soon, Wang Qi came to the end: "…The word 'form' is only in this sense that we can call the axiomatic method 'formalism'. It gives mathematics unity, not formal logic. It enriches mathematics with 'bone', it is the negative entropy of the organism throughout its development, and it is a convenient and productive tool for seeking the truth. Perhaps since the emergence of 'group theory', we should have accepted this point - in some areas, we are replacing calculations with concepts."

In silence, Wang Qi walked down the stage. After a long time, Xi Boche clapped softly: "Very good."

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

Perhaps they have vaguely felt that Shenzhou's mathematics is about to open a new page. (To be continued ~^~)