Wang Qi didn't look at anything specifically. His spiritual sense spread like water, rippling throughout the Reckoning Garden. The spiritual consciousness second only to the Yuan Shen Stage did not attract the attention of some other cultivators in the Yuan Shen Period, and only a few Yuan Shen Stage monks raised their heads in confusion, feeling the power of the Yuan Shen Period.

Wang Qi is learning about what everyone in the Ten Thousand Methods Sect is discussing and studying recently.

That's what you don't see in the paper library. Because the literature in the paper library is actually all things that have already been completed by the disciples of the Ten Thousand Fa Sect. Some things that are still in the making, and the directions that ordinary disciples are paying attention to, Wang Qi can't know through those papers.

- Results...... Not bad, isn't it?

After a while, Wang Qi received the supernatural powers, and then said: "It's very similar to what I expected, not bad." ”

Su Junyu didn't know why: "It's good there?"

"It's hard to say yet. Wang Qi pointed to the bookshelves: "Is there any book on this?"

"Well, feel free to take it. It's just that here are more commonly used, more advanced content, you have to go to the Ming Law Building. ”

The Ming Law Building is the core library building of Wanfa Gate.

Most of the people gathered in Lin Yuan are senior Jin Dan and Yuan Shen who have not yet become a climate. These monks are one of the foundations of arithmetic.

Wang Qi nodded: "If you want to borrow books, do you have any requirements?"

"This disciple can rely on the Immortal Nationality Pei. Su Junyu said with a smile: "Both of us are true disciples, so there are not so many restraints, just swear not to take the initiative to show the book to other non-Wanfa disciples - of course, you can relay it yourself." ”

Wang Qi nodded and said, "I really need to borrow a few books, take me to see them." ”

The Ming Law Building is not far from the Lin Yuan, and the two of them arrived almost instantaneously. It occupies a larger area than Shulin Garden, and there are many people coming and going. And unlike those disciples of Lin Yuan, who were already immersed in their own world, many disciples in front of the Ming Fa Building had borrowed books, ready to find a quiet place to think well, and most of them were still awake.

When those Wanfa Sect monks saw Wang Qi, they all greeted him in a friendly manner, and then consciously or unintentionally stayed behind Wang Qi, as if to see what he was going to do.

Wang Qi asked quietly, "What are you going to do?"

"Probably going to see what book you want to borrow?" Su Junyu also whispered: "Your current research can also represent the general direction of arithmetic to a certain extent." ”

In the era when the monarch was overwhelmed for a while, the mainstream of the Ten Thousand Methods Gate was topology. In the era when the Counting Monarch went to the other side of the Star Sea and the Counting Lord was in full swing, the focus of the Wanfa Sect monks was mostly logic. Now, after Wang Qi's two papers overturned the master, Wanfamen has lost a "general direction". The topology and chaos of the counter, the "method of breaking the game" of the Geting faction, and the recursion of Feng Luoyi's Turing real person, Wanyou, etc., are almost all in full bloom.

If it weren't for Wang Qi's own disappearance for a year, he might have been involved in this big discussion.

Wang Qi's voice was a little louder: "Oh, there is no secret to this. I just want to borrow it this time...... The algebraic topology of the arithmetic monarch - mainly the monomorphic algebraic topology, the multi-complex change of the arithmetic theory of the arithmetic king, the metaphysical algebraic method of the fairy Ruoche - especially the group theory, the homoharmonic and homotopy are the most important......"

He did it on purpose to be heard.

Su Junyu felt a little wrong when he heard it: "Wait, wait, wait...... Brother, that's not quite the same as your previous research, is it?"

Wang Qi was most famous for "logic" before. His exercises are the basis of the calculator, and the theory of the calculator comes from logic. The "law of completeness" that he became famous for is logic. And the "incompleteness" and "undecidability" that represent his victory over his predecessors are also logical.

In this field, he is already an absolute powerhouse.

However, the few that Wang Qi just reported have nothing to do with these research directions.

Of course, it can't be said that it is completely unrelated. At that time, the arithmetic master wanted to use set theory to encompass the whole arithmetic, so some people thought that these could also be represented by logic. It's just that this idea is also bankrupt because of Wang Qi himself.

In Su Junyu's impression, Wang Qi is indeed excellent in these fields that have nothing to do with logic, but he is still a little far from being outstanding, and he may not have the capital to do research.

Especially Wang Qi is now full of enemies, and if it is not good, it is easy to be criticized and criticized.

He was in a hurry, and said in the secret: "Senior brother, now is not as good as it was back then." A large group of people follow you to find food, and if you get involved in the matter of leaving the sect and connecting the sect, it will not be good for those behind you. ”

This is Su Junyu's concern. What Wang Qi represents now is not only an "arithmetic", but also a pioneering technology of "virtual and real phase cultivation". If he himself shows too obvious a position, it is easy to offend a group of people.

To put it bluntly, if he leaves the sect too much, then the people of the sect may not buy his account.

Wang Qi shook his head: "I am a disciple of the Sect of Departure, because I think it is better to leave the Sect, and the idea of Leaving the Sect is more suitable for me." ”

Su Junyu shook his head, knowing that he couldn't persuade him. He said, "Well, tell me, what are you going to do?"

"Do a little bit of trivial work. ”

"Specific?" Su Junyu frowned: "Which direction is it?"

"I don't know. ”

Su Junyu was happy: "Why do you still say you don't know?"

What direction does a person want to study, what problems do they want to overcome, can they still know?

For example, Master Chen, his lifelong wish is to conquer the pearl. The pursuit of Lord Hemen can be summed up 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 we have to deal with a certain problem? Why do we all want to solve a big problem, make a big news, and then make a name for ourselves? Why can't we do some insignificant basic work?"

——Obviously, it is you who are famous all over the world by solving big problems, are you good! Your senior brother and I have not become famous yet!

Su Junyu said: "No direction?"

"Try studying arithmetic 'itself'. ”

Wang Qi smiled and didn't elaborate.

He didn't know what to say himself.

There are many results, but the most important one is "inspiration". After later generations know this "inspiration", they can easily solve that problem - Gödel's incompleteness theorem is a model of this. Once the core thing is broken, the reason is very simple.

However, some people's work cannot be simply described as "inspiration".

For example, Grothendieck.

The mathematicians of the earth all aim for "problems". Whether it's Henri Poincaré or David Hilbert, or Kurt Gödel and von Neumann, none are immune. There is even John Nash, a man who takes pleasure in chasing "difficult problems" and is even compared to "a man like an Olympic athlete".

But Grothendieck is an outlier. He is not interested in any "questions". Whether it is the twenty-three problems that are still in full swing in his time, or the century-old Fermat's theorem, etc., or the "millennial problem" in his later years, he does not care about it. He is interested in mathematics itself – or the larger, broader structure behind those problems.

He walked his whole life at his own pace, on his own path. If he ran into a problem halfway through, he solved it and continued as if nothing had happened—like stepping over a slightly larger pebble. And every thought he has puts more emphasis on "universality".

He doesn't focus on any problem, and he doesn't care much about the results of others, and insists on reconstructing his own world with his own thinking.

This is Grothendieck.

Of course, it is actually difficult to evaluate whether this way of thinking is superior or worse than that of other mathematicians. But there is no doubt that this maverick made the earth brilliant in the second half of the twentieth century.

Of course, it is precisely because this method is so maverick that no one can adapt to this pace. This is also the reason why Grothendieck eventually left the Bourbaki school.

This person needs the entire mathematical community to fit himself.

If Wang Qi wants to try "string theory" now, he must first figure out the mathematical basis of string theory, that is, the achievements of the Bourbaki school and Grothendieck.

It's just that Wang Qi lacked interest in string theory in his previous life [mainly because no one had the courage to face the string landscape that has more possibilities than the number of atoms in the universe], and he didn't know the mathematical basis of string theory. Grothendieck is also a willful and maverick person, and ordinary people can't "plagiarize" the results.

And...... "As much as Einstein was to physics, Grothendieck was to mathematics." No matter how confident Wang Qi is, he is not sure that he will be able to reproduce that part of the road 100%.

What he can do is to cultivate his own other ways of thinking, and re-walk the path that others have walked back then.

As you can imagine, this is not a simple matter. Wang Qi himself did not have the confidence to do a good job.

"It doesn't seem to be the same as it was promised. Su Junyu was sighing, and Wang Qi had already borrowed several books. He turned around and found that after the others heard what he said, they were talking about it, obviously guessing what medicine he Wang Qi was going to sell.

Wang Qi smiled and said, "You are in the same door, and you have not been in the door for the next few years, but you are very alienated from your fellow doors. I have some things to do in the past few days and want to go to Qianji Pavilion, and when I come back, if I am interested in these fields, I might as well go to the Humble House to discuss a little bit. ”

Immediately afterward, he whispered, "Let's spread it for me." ”

Su Junyu was shocked: "What are you going to do here?"

- It's just pulling people into the pit.

The Bourbaki school was originally supported by many people, and even a fierce man like Grothendieck needed some like-minded people to solve the minutiae for him. (To be continued.) )