Vol 2 Chapter 1132: Our style

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Everyone was ignorant.
Isn’t I just talked about my ideals and my ideas? Now should n’t I enter the scene where you climb up and call me to pay my respects? Why is there such a thing as "trial"? Is this script wrong?
No, no, before that, you even shared your
thoughts
and clearly entered the rhythm of
dividing meat to eat
. Why did you suddenly brush people?
"You don't really think that I haven't tested it at all?" Wang Qi smiled. "Relax, it's not difficult."
Zhao Qingtan said: "This ... Brother, there is something wrong. Your order is not right. You should not take the exam in the first stage, and then come and tell us your ideas after the exam is finished?"
Now everyone has a collective concept of
we are a family that loves each other
, but you have to start catching people ... will you look at the atmosphere bastard!
Wang Qi smiled: "Because I like it."
"You also know that just now, here I am still based on the axiomatization method. So, there is a high demand for the level of set theory. Then there is algebraic topology. You understand, I am now Study this area. The next step is functional analysis ... "
He grinned: "It may be a little wider, but everyone remember to try your best."
Wang Qi shook his hand and threw those test papers in front of everyone with a standard hidden weapon. Originally, some people still held the "just in case" psychology, and felt that the neuropathy in front of them might really come up with a simple question, even if they did it. But, soon, they began to scold the mother.
Every question in it-every question! All! All! The most cutting-edge question!
and! The scope is very wide! Covers the vast majority of different fields!
Problems that have just been solved shortly, or are still being studied. Or very profound theorem.
"Everyone just has to write some of their own opinions. I don't ask too much, really, one opinion." Wang Qi seemed to laugh with a funny taste. This gives some people hope.
As long as it is better than others!
With such thoughts, these people began to work hard.
The monk's flesh is already very strong, and the hand speed is not imaginable by mortals. Basically, the content to be written only needs to be passed through the mind once, and it can be finished quickly in hand. Therefore, the amount of questions does not constitute a problem for them.
The key is the scope and difficulty of the topic.
Even if it is an exam, the general teacher will set a point.
But Wang Qi does not. The scope of his topics is basically drawn from countless fields.
Wang Qi sits in his chair and closes his eyes calmly.
"The most important of these exam questions is set theory, because the 'structuralism' view of the Burbuck School, in the same vein as the operator, also requires a considerable level of set theory. And then, it is firmly in accordance with the ideas of the Bulbaki School. It ’s set. "
Wang Qi didn't say everything when he talked about the Bulbaki school. There are some mature and highly sophisticated things that he didn't talk about.
For example, the
three major mother structures
at the core of the Burbuck School, or
three major source structures
. The algebraic structure with "group, ring, domain" as the core, the ordered structure with "partial order, total order" as the core, and the topological structure with "neighborhood, continuity, limit, connectivity, and dimension" as the core.
These three major source structures should not be all the source structures, and above this, there should be a more fundamental structure. However, the road of the Bulbach school came to the death of the first-, second-, and even third-generation Burbage school mathematicians here, and the successors gradually lost the ambition of their predecessors.
Although the Bulbaki School still exists, the Bulbaki Mathematics Seminar continues to open, and "Mathematics" is also being followed up, but they have no initial ability.
Perhaps it is because these successors have also found that the ambitions of their predecessors are too terrible and beyond their ability.
In addition, the concept of the Bulbaki school cannot explain everything. There are some areas that cannot be incorporated into the system of the Bulbaki school.
For example, number theory.
This is somewhat funny. The Bulbaki school adheres to the Göttingen school's ideas, and replaces "calculation" with "concept". According to the division of the Divine State, it is the standard "divestment". However, the most representative branch of Lizong, "number theory", the Bourbaki School has no way to speak.
In the concept of the Bulbaki school, "integer" is "a commutative ring formed by a set of integers", and it is impossible to get into the nature of specific numbers. For the calculation of the pearl [Goldbach conjecture] and the calculation of the prime [twin prime conjecture], don't try to get a little useful opinion from the Bulbach school.
Another embarrassment comes from Wang Qi himself.
Another area of ​​his practice method is also the arithmetic extension of mathematical logic, the virtual and real two-phase exercise method, and the cybernetic ideas embodied in it, which are also incompatible with the ideas of the Bulbaki school. No recursion theory can be incorporated into this system.
If Wang Qi continues to do so, he may have to face an awkward situation. He started a school of his own, and another school with his teacher, Turing Real, and then the two online theories could not be integrated.
"However, this is also very good." Wang Qi thought away: "Just test your ability to control many different ways of thinking ..."
He glanced at the monks who were struggling.
Someone has been shaken. Several Jin Dan were cold and sweating, and then left here without a word.
Wang Qi did not stop.
The research topics of the Bulbaki School are diverse and numerous, but their characteristic is "unity". There is no theoretical idea that is not reflected in other fields.
This kind of thinking is also often reflected in the seminar.
At night, Wang Qi announced the submission.
"Okay everyone, the trial is over, let's hand over the things."
All the monks cried and gritted their teeth, handing in the test paper in their hands.
Wang Qi quickly read this thick answer. The contents of these answers may add up to as many as a book, but he finished it in a moment.
This displeased those monks who answered seriously. Anyone who sees what he has written so hard to be so disdainful will be dissatisfied. In addition, they had such a thought in their hearts.
No matter how talented you are, can you surpass each of us in so many fields?
The response of Feng Xingchong and other priests of the Dandan is much simpler.
Must ... must ...
Wang Qidao said: "First of all, I want to congratulate everyone, you are all qualified."
"Eh?" Nobody responded: "This is ..."
"This is just a test of your basic level. You have a correct understanding of set theory, a lot of thinking about arithmetic, and then ... Basically, there are so many. So much is enough." So, as long as you can write more than half, and then there is no fundamental or logical error, it is over. "
Feng Xingchong almost sat down underground. He said: "This ... this is too much test of the heart ..."
Is it enough to fill it up? Where is this point-sending exam!
Cooperating with the person who just walked away, it ’s all because ... because the heart is not close?
"Then, the second point, you have another point of dissatisfaction." Wang Qi held up his own test questions. Suddenly, a burst of flame appeared, and all the test papers were burnt out in an instant.
"No one of you actually said that" the theory may have problems "or" the existing theory may not be answered ". Wang Qi shook his head:" You disappoint me. "
Everyone petrified again.
"Generally speaking, those who dare to write this kind of answer are all conscious of being scolded ..." Su Junyu said dissatisfiedly.
"Cough, that's the general situation. But what we have to do is different, what are we asking for? It's the foundation of recasting mathematics! It's broken and then stands!" Wang Qi said seriously: "You should have this kind of consciousness- —If there is a problem that cannot be figured out in the existing theories, we will use our thoughts to pass it by ourselves and push it forward. "
This is also Grothendieck's method.
Grothendieck's environment is not good either in high school or university, and the math teachers he finds are not as good as him. In high school, he strongly believed that "the math textbook is not deep enough" and firmly believed that "the textbook has problems, not me." Then, when he first entered the university, he independently redefined many concepts in the math textbook.
In fact, that is not a problem of mathematics textbooks, but the average high school student does not involve such in-depth concepts at all. They only need to know the length, width, height, and how to find the volume, area, and mass density. They do not need to know from a mathematical point of view what is "length", what is "area", what is "volume"-for the average person, this is self-evident of.
He actually used the three years after the war to rediscover and define the concepts of measurement theory and Lebesgue integral-relying on self-study.
The Bulbaki school has some similar styles, but it is not as extreme as Grothendieck.
Grothendieck was not interested in the results of other mathematicians. As long as it was an interesting and critical issue that he thought was interesting, Grothendieck would rather rediscover and prove the results by himself—for him, most of the time it took little effort.
However, there is no way to bring fame and fortune. Of course, Grothendieck didn't care.
The Bulbaki School is constantly smashing and redefining the achievements of others and incorporating them into its own "structured" system.
That's how Wang Qi now asks his new partner.
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