Vol 3 Chapter 391: Burbuck School 【Fifth Modification】

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Facing Feng Luoyi's questioning, Wang Qi understood that this was the invisible test.
It is not impossible to push everything to inspiration and intuition. However, inspiration is not without trace. This kind of thinking activity is nothing more than the accidental display of special laws in the subconscious.
By saying that you suspect that mathematics itself is incomplete and want to start elsewhere, it means that you have departed from the road of counting. What's more serious is that if someone finds Gödel's incompleteness theorem because of his own words, then the Lizong family can eat a casual meal directly.
At this moment, Wang Qi Lingguang moved, said: "Teacher, my initial goal is not to prove completeness, this is just the result of inadvertently inserting willows. What I actually do is another thing.
Feng Luoyi said with a surprise: "This rigorous theory is unintentional? What is your intention?"
Wang Qi is somewhat supportive: "This is just an immature idea."
"Now that you have made achievements, it means that this path is feasible. Even if you don't reach the point you originally wanted to achieve, you can glimpse a major story."
Wang Qi "crunched his teeth" and asked: "Teacher, do you think that mathematics is" one mathematics "or" multiple mathematics "?"
Feng Luoyi shook his head: "Different mathematicians have different views, this can't be answered correctly."
"When I entered the Tao, I was thinking that the number of sub-disciplines in mathematics is increasing. Is this a development process of an organism with a solid structure? The gradual splitting trend shown by the outside is inherent in the nature of mathematics? Among the independent disciplines, not only their purpose, but also their methods and even their language are becoming more and more clearly separated? We are now Is there one math or several maths? "
Feng Luoyi nodded undetectably. Many mathematicians have thought about this kind of problem, and every disciple of Ten Thousand Famen can also express their own opinions. However, not many people can ask so many questions.
As long as it is a field, as long as it can raise a lot of questions, it is full of vitality, and the lack of questions heralds the end or decline of independent development. This is what Lord Ximen once said, Feng Luoyi has always taken it seriously.
He asked, "So, what do you think?"
"Of course, there is only one door." Wang Qi showed a confident, or arrogant smile: "There can only be one door."
"For reasons, otherwise your theory is meaningless."
Feng Luoyi calmly poured cold water on his disciples. Every year, some young cultivators come up with ideas one after another with enthusiasm. Unfortunately, most of these ideas are worthless due to the lack of accumulation of the authors themselves. There are even some little guys who clamor that they want to reshape the system of the present law without even understanding what they want to criticize.
Regarding Feng Luoyi's question, Wang Qi can only say nothing: "Mr. Feng, my idea is the same as the ideal that Ximen has proved to be complete, error-free, and decidable, but only the idea and the ideal. But you want me Speaking of ideas, I can say a little more. "
Mathematics is not just a simple sum of various disciplines, there are inextricably linked between various fields of mathematics, in fact, as long as the method of abstraction, formalization and axiomization follow the idea of ​​the operator. In this way, the similarities and differences of various structures and their complexity are clear at a glance.
The basis of the structure is the collection. The concept of collection is relatively simple, it only involves the simple relationship of collection, element and element belongs to collection. It does not discuss the relationship between elements and elements, and the relationship between elements and between elements and sub-collections, sub-collections and sub-collections, this is the structure. This structure can become a mathematical framework and unify it.
What Wang Qi now says is actually one of the foundations of modern mathematics, the guiding program of the Bulbaki school.
The Bulbaki School is a collective of mathematicians who have a great influence on modern mathematics. Most of them are French mathematicians. Their activities began in the mid 1930s, and have published several articles in mathematics magazines, and compiled a multi-volume set of "Mathematical Principles", which is one of the most important schools in the history of mathematics.
In a certain sense, the Burbaki School, like the Göttingen School, is a model of the Mathematics School. The Göttingen School is "Bo", and its glory has lasted for nearly two hundred years from Gauss to Weir, and the field involved has almost covered the entire mathematics. But Burbucki is "deep", and it has almost perfectly completed the task of creating new mathematics and promoting the development of the entire mathematics given by it in its own time.
After Feng Luoyi listened for a moment, his face showed a surprise for the first time: "This idea is very good."
How is Xiaoyao's vision high? Being able to get him a good word is enough to make many Wanfa disciples feel dead without regret.
Wang Qi did not have too obvious mood swings. He knew that what Feng Luoyi praised was not himself, but the great school behind him. He went on to say: "It is my ideal to put all the mathematics together in one door, and then my research idea is also the same. I use the structural method to organize the mathematics and thoroughly understand the mathematics. The completion rate is an accident for me."
"The principle is this." Feng Luoyi nodded and said nothing.
In this question and answer, Wang Qi reversed cause and effect. In fact, the achievements of the Bulbaki School are based on Gödel. Wang Qi claimed to have obtained Gödel's visit according to the program of Bubbaki, and it is not logically unreasonable. However, Feng Luoyi still has questions: "Why don't you use the more intuitive and credible induction principle? Is the foundation of the overrun method solid?"
"My level is not enough to support me to complete it in a short time, but I hope to complete at least part of it so that I can prove my way. So I know that it is a detour, and I have to take a look at the results first."
Feng Luoyi was not very satisfied with Wang Qi's answer, but it was still within the acceptable range. He nodded and swung back Wang Qi.
On the other side, after watching Feng Luoyi's entire retransmission, Xi Baiche fell into silence. Then he smiled bitterly: "It's a great genius."
Ikeman asked: "Master, these papers ..."
"I didn't think I should rely on something that I didn't fully agree with." Xi Baiche felt frustrated for a while. But soon he renewed his spirit: "However, Wang Qi's idea gave me some new ideas. His way is very close to ours. What he can't accomplish, maybe we can do it by us."
Feng Luoyi objected: "But our ultimate goal is to prove the stability of mathematics itself."
"This is an idea of ​​axiomatizing mathematics, which is very good." Xi Baiche pointed to the paper of Junjun: "And we just set aside a month to do this. After a month, we still follow our own pace go."
Independent of vomiting another question: "This is Wang Qi's idea. Doing so would have won the way of others."
"I will compensate him, in all explicit or implicit ways." Xi Baiche said firmly.
………………
The operator did not know that while making his own compensation decision, Wang Qi was lying in front of his desk, screaming and writing: "It's over, let's make a big death! Lying trough!"
"Zuo Zhi?" Chen Youjia expressed curiosity about the word.
"Similar to playing with Shui Xian, the water line was finally drowned and called death." Wang Qi cried.
I just want to be able to guide the results of the Bulbaki School and bring the mathematics of this world closer to my previous life ... I can't do the work of the Bulbaki School, bastard!
Analytical mathematics, probability theory, applied mathematics, computational mathematics, especially theoretical physics, dynamic system theory are related, this is the field I want to do ... these are all areas that the Bourbach school overlooks!
"Mr. Feng, Master Ximen, please trouble solve this problem yourself! Don't let me solve it!"
The teenager is so praying.
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