Enter the Immortal Cultivation
Chapter 217 Grothendieck
Wang Qi didn't look at anything specific. His spiritual consciousness spread like water, rippling throughout the Suanlin Garden. The spiritual consciousness second only to the Yuanshen stage did not attract the attention of other Jindan stage cultivators. Only a few Yuanshen stage cultivators raised their heads in confusion, feeling the seemingly true and false power of the Yuanshen stage.
Wang Qi was trying to understand what everyone in the Wanfa Sect was discussing and researching recently.
This is something that cannot be seen in the thesis library. Because the documents in the thesis library are actually what the disciples of the Wanfa Sect have completed. Some things that are still in the works and the directions that ordinary disciples are paying attention to, Wang Qi cannot know through those papers.
——The result... is not bad.
After a while, Wang Qi withdrew his magical power and said, "It's very similar to what I expected, not bad."
Su Junyu was confused: "What's good about it?"
"It's hard to say now." Wang Qi pointed to the bookshelves: "Are there all kinds of math books on them?"
"Yes, you can use them at will. However, the books here are more commonly used. For more advanced content, you have to go to Mingfa Building."
Mingfa Building is the core library of Wanfamen.
The people gathered in Suanlinyuan are mostly senior Jindan and Yuanshen who have not yet become mature. These cultivators are one of the foundations of mathematics.
Wang Qi nodded: "If I want to borrow books, are there any requirements?"
"Disciples of our sect can borrow books with the Immortal Book Pendant." Su Junyu smiled and said: "Both of us are true disciples, so there are not so many restrictions. We just need to swear not to take the initiative to show books to other non-Wanfamen disciples-of course, you can tell us yourself."
Wang Qi nodded and said: "I really need to borrow a few books. Take me to have a look."
Mingfa Building is not far from Suanlin Garden, and the two of them arrived almost instantly. The area here is larger than Suanlin Garden, and there are many people coming and going. And unlike those disciples in Suanlin Garden, who are already immersed in their own world, many disciples in front of Mingfa Building have borrowed books and are ready to find a quiet place to think carefully. Most of them are still awake.
When those Wanfamen monks saw Wang Qi, they greeted him friendly without exception, and then followed Wang Qi intentionally or unintentionally, as if they wanted to see what he was going to do.
Wang Qi asked quietly, "What are you going to do?"
"Maybe you are going to see what book you want to borrow?" Su Junyu also whispered, "Your current research can also represent the general direction of mathematics to a certain extent."
In the era when Suanjun dominated the world, the mainstream of Wanfamen was topology. When Suanjun went to the other side of the starry sea and Suanzhu was in his heyday, the focus of Wanfamen monks was mostly logic. Now, after Wang Qi's two papers overturned Suanzhu, Wanfamen lost a "general direction". Suanjun's topology and chaos, Ge Ting's "method of breaking the deadlock", and Feng Luoyi Turing Zhenren's recursion and everything, etc., are almost a hundred flowers blooming.
If Wang Qi himself had not disappeared for a year, he might have been involved in this big discussion.
Wang Qi said louder: "Oh, there is no secret about this. I just want to borrow... Suan Jun's algebraic topology - mainly simplex algebraic topology; Suan Jun's multi-complex transformation theory, Ruo Che's metaphysical algebra - especially group theory, homology and homology are the most important..."
He deliberately let others hear it.
Su Junyu felt something was wrong halfway through: "Wait, wait, wait... Brother, this is not very different from your previous research, right?"
Wang Qi was most famous for "logic". His skills are the basis of arithmetic, and the theory of arithmetic comes from logic. His famous "completeness law" is logic. And the "incompleteness" and "undecidability" that represent his victory over his predecessors are also logic.
In this field, he is already an absolute strong man.
However, the few that Wang Qi just reported are not related to these research directions.
Of course, it cannot be said that they are completely unrelated. At that time, Suan Jun wanted to use set theory to encompass the entire mathematics, so some people also believe that these can also be expressed by logic. However, this idea was also bankrupted because of Wang Qi himself.
In Su Junyu's impression, Wang Qi is indeed excellent in these fields that are not related to logic, but he is still a little far from being outstanding, and he may not have the capital to do research.
Especially now that Wang Qi has many enemies, if one is not good, he will be easily criticized.
He was anxious and sent a secret message: "Junior brother, now is not the same as in the past. A large group of people follow you to make a living. If you get involved in the matter of Li Zong and Lian Zong, it will not be good for those behind you."
This is Su Junyu's concern. Wang Qi now represents not only a "calculator", but also a pioneering technology of "virtual and real two-phase cultivation". If he shows too obvious a position, it is easy to offend a group of people.
To put it bluntly, if he is too far from the sect, then the people of Lian Zong may not buy his account.
Wang Qi shook his head: "I am a disciple of Li Zong, because I think Li Zong is good, and Li Zong's ideas are more suitable for me."
Su Junyu shook his head, knowing that he could not persuade him. He said: "Well, tell me, what are you going to do?"
"Do some trivial work."
"Specifically?" Su Junyu frowned: "Which direction?"
"I don't know."
Su Junyu laughed: "How can you still say you don't know?"
How can a person not know what direction he wants to study and what problem he wants to solve?
For example, Master Chen, his lifelong wish is to conquer the arithmetic of Mingzhu. Master Xi's pursuit can be summarized as "completeness", "compatibility" and "decidability". The "incompleteness theorem" and "undecidability theorem" written by Wang Qi are the answers to the latter.
The purpose is clear.
Wang Qi said: "Why do you have to face a certain problem? Why do you all aim to solve a big problem, make a big news and become famous? Can't you do some insignificant basic work?"
-It is you who are famous for solving big problems! I, your senior brother, have not become famous yet!
Su Junyu said: "No direction?"
"Try to study mathematics 'itself'."
Wang Qi smiled and didn't elaborate.
He himself didn't know what to say.
There are many achievements, and the most important one is an "inspiration". After knowing this "inspiration", future generations can easily solve that difficult problem-Gödel's incompleteness theorem is a typical example. Once the core thing is revealed, the truth is very simple.
However, some people's work cannot be simply described as "inspiration".
For example, Grothendieck.
All mathematicians on earth aim at "problems". Whether it is Henri Poincare, David Hilbert, Kurt Gödel or von Neumann, none of them can escape this. There are even people like John Nash who enjoy chasing "difficult problems" and are even compared to "men like Olympic athletes".
But Grothendieck is an outlier. He is not interested in any "problems". Whether it is the twenty-three problems that were still popular in his time, or Fermat's Last Theorem that has been circulated for a hundred years, or the "Millennium Problem" in his later years, he disdained them. He is interested in mathematics itself - or the larger and broader structure behind those problems.
He walked at his own pace and on his own path all his life. If he encountered any problems halfway, he would solve them and then continue walking as if nothing had happened - just like stepping over a slightly larger stone. And every thought of his emphasized "universality" more.
He does not specifically attack any problem, does not care much about the achievements of others, and insists on using his own thinking to rebuild his own world.
This is Grothendieck.
Of course, it is actually difficult to evaluate whether this way of thinking is better or worse than the way of thinking of other mathematicians. But there is no doubt that this maverick has made the earth's mathematics brilliant in the second half of the 20th century.
Of course, it is precisely because this way is too maverick that no one can adapt to this pace. This is also the reason why Grothendieck finally left the Bourbaki school.
This person needs the entire mathematical community to adapt to himself.
If Wang Qi wants to try "string theory" now, he must first come up with the mathematical foundation of string theory-that is, the achievements of the Bourbaki school and Grothendieck.
However, Wang Qi had little interest in string theory in his previous life [mainly because no one had the courage to face the string landscape with more possibilities than the number of atoms in the universe], and he knew even less about the mathematical foundation of string theory. Grothendieck is also a willful and maverick person, and it is impossible for ordinary people to "plagiarize" the results.
Moreover... "Einstein's significance to physics is as great as Grothendieck's significance to mathematics." No matter how confident Wang Qi was, he was not sure that he could reproduce that path 100%.
All he could do was to cultivate his own other ways of thinking and walk the path that others had walked in the past again.
As you can imagine, this is not a simple thing. Wang Qi himself did not have the confidence to do it well.
"This seems to be different from what was agreed." Su Junyu was sighing, and Wang Qi had already borrowed several books. He turned around and found that after hearing what he said, other people were talking about it, and they were obviously guessing what medicine he, Wang Qi, was going to sell.
Wang Qi smiled and said, "My fellow disciples, I have not been in the sect for these years, but I have been alienated from you. I have something to do in the next few days and I want to go to Qianji Pavilion. After I come back, those who are interested in these fields may as well come to my humble home to discuss a little bit."
Then, he whispered, "Please spread it for me."
Su Junyu was shocked: "What are you going to do?"
--Just pulling people into the trap.
The Bourbaki school was originally supported by many people. Even a tough guy like Grothendieck needed some like-minded people to help him with the details. (To be continued ~^~)
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