Chapter 158: Dictionaries and Exercises

"Two more requests?"

Immediately all the people of the Gipai stood up solemnly. Pen ~ Fun ~ Pavilion www.biquge.info At this stage, there is only one person who really grasps the core idea of "structure". Others are still adjusting themselves to this idea. At present, the standard set by Wang Qi is really the standard.

Of course, this is also one of the manifestations of the immaturity of the "base faction". According to Wang Qi's own conception, as a school with "collective wisdom and collective efforts" as the core, everyone should have their own skills and unique opinions, rather than taking him as the core as they are now.

In this way, it is not much different from the Geting faction.

The current foundation school is far less powerful than the "foundation building school" in the future.

It is precisely because of this that Wang Qi is currently trying to assign work to other people and exercise their thinking.

Dai Taichong is a key training object.

Wang Qi said: "First of all, we should attach a 'dictionary' to this. ”

Su Junyu was puzzled: "'Dictionary'? Although you have studied speech, you have attached a dictionary to the end of arithmetic......

This is certainly not your average dictionary. Wang Qi explained: "This is a dictionary of arithmetic. ”

"Arithmetic ...... Dictionary ...... "The crowd was a little puzzled.

"As we all know, the use of proper words within our Wanfa Sect is actually quite confusing. Now, it is basically a set of sects, a set of sects, and there are subtle differences within the sects, and almost every school of thought has its own set of words. And in every school, there is a group of followers who follow the usage of that school. In this situation, mutual understanding is a difficult thing. Wang Qi pointed to a book on his shelf: "Take it...... Let's talk about this area. The Goting School called it algebraic topology, and the predecessor of the Goting School, Ai Ruoche, was the one who carried this field forward. However, the real founder of this arithmetic, arithmetic, has always called it 'combinatorial topology' and does not recognize the term 'algebraic topology'. ”

Of course, this is easy to understand, but this phenomenon is not an isolated evidence, but a widespread phenomenon. ”

In fact, the confusion of a discipline's proper nouns is a manifestation of "immaturity". In the early days of the establishment of the discipline, this is generally the case. However, with the development of the discipline, some nouns will naturally be proved to be closer to objective reality, or the school that uses this set of nouns will gradually grasp the right to speak, so that this set of nouns will be passed on.

However, arithmetic is different. The object of arithmetic is not the material world that is generally visible, but an objective existence that is self-contained but difficult to interfere with. Therefore, inside the Ten Thousand Dharma Gate, it is difficult for the east wind to overwhelm the west wind, and vice versa.

Even the tens of thousands of years of hostility between the sect and the sect are also evidence.

And those powerful parents are immortal, I'm afraid it's also one of the reasons.

Therefore, at the present time of the Ten Thousand Methods, many words are really confused.

This coincides with the European mathematical community in the first half of the twentieth century. At that time, there was no unified set of terms in the European mathematical community, and it was chaotic. For example, the concept of "tight" in topology has dozens of nuanced words to describe it.

The Bourbaki school put an end to this confusion. Many of the first masters of the Bourbaki school joined forces to use their prestige to set the standard of mathematical terms. In particular, neologisms for topology and functional are all predominantly prescribed by the Bourbakians. By the end of the war, only the only one prescribed by the Bourbaki school was the only one of the dozens of words on the concept of "tightness".

Since then, mathematical terms have been unified.

Of course, some conservative authorities in Su Xiu are still sticking to their own set. However, when they found that the Soviet school was far behind the Bourbaki school in terms of topology, they had to pinch their noses and use the standards of the Bourbaki school.

And with the unification of nouns, the unification of the more important "mathematical symbols" is also completed. The most common concepts in the mathematical literature - natural number sets, integer sets, rational number sets, real number sets, and complex numbers - all use the expression of the Bourbaki school. [The "natural number n" in Chinese textbooks also comes from this. 】

It is not uncommon for people not to adopt this method, but such maverick mathematicians are even rarer than giant pandas.

“...... Therefore, in the "Original Calculation" that we have compiled, this set of terms must be unified, and we must make a standard that belongs to us!" Wang Qi emphasized.

Zhao Qingtan was a little dumbfounded: "But...... But ......"

――Do you really know what level of doing this is?

In the heyday of the lord and the king, they both did similar things. But now, the Geting faction calls algebraic topology algebraic topology, and the Shaoli faction still insists on calling it "combinatorial topology".

Wang Qi also knew that this was a bit too big to pull the egg. The first generation of the Bourbaki school on earth was the union of many of the pinnacle mathematicians. Individually, they will not be inferior to David Hilbert, not to mention that there are many of them, and among them are many geniuses like Jia Dan, who shine like stars.

In contrast, he is barely the only one who has reached that standard.

Moreover, the predecessors of this world will not die. Count Jun is still alive, and more seniors are still alive.

"I also know it's difficult, but ah, you can't be without ambition, right?" Wang Qi pressed his finger against Zhao Qingtan's heart: "If you don't try to ignite the fire, how can you get the momentum of the prairie fire in the end?"

The most important characteristic of the Bourbaki school is that it is "comprehensive" -- except for a very few fields such as number theory, it covers almost all fields of arithmetic, and it is the system that is most likely to complete the "general solution of arithmetic" and master the "arithmetic of arithmetic" within the known range.

This system, at least, can conquer the sect. And after leaving the sect and gaining power, even the sect will gradually be attracted.

Anyway, Wang Qi can afford to wait.

Dai Taichong nodded and took out his notebook: "Is there anything that has been ordered?"

Wang Qi thought for a moment: "Well, let's focus on my previous papers." If you encounter confusion in my own paper, you can choose the one that fits your eyes. The areas that are not covered in my dissertation will be dealt with according to the papers of other Daoists of the Fundamental School. Again, if there is confusion in the use of words, you can pick one of them. ”

Dai Taichong hesitated: "But...... Most of our Daoists here were biased towards the Geting faction before, right?"

Wang Qi nodded: "I am also a disciple of the Leaving Sect. When the Geting faction entered the Tao at its peak, it was naturally accustomed to the system of the Geting. ”

"But ......"

Wang Qi waved his hand: "There is nothing to avoid." We set standards, not create a new set of standards that are completely different from other standards to show our own specialness. There's nothing wrong with using the song garden. ”

Dai Taichong smiled bitterly: "That Lianzong will probably reject this set of ......"

Wang Qi nodded his head: "Senior Brother Dai, your thinking hasn't changed yet." What are we doing? It's setting standards? In the future, only we say that others are not standard, and no one else says ours. ”

Dai Taichong always felt that this logic ...... Is there something wrong?

After saying this question, Wang Qi held up Dai Taichong's sample book again: "Another thing that makes me dissatisfied is the exercise of this book, Senior Brother Dai." ”

"I know this too......" Dai Taichong shook his head and smiled bitterly: "I'm not very satisfied with myself." ”

Immediately, a monk of the Yudan period stood up and argued: "These topics were all written by Senior Brother Dai with heart, and we have done it, which is of great benefit!"

"That's you. Wang Qi rolled his eyes: "If our arithmetic book wants to really dominate the Wanfa Gate and the direction of the entire arithmetic, then it can't only be oriented to the internal base school. Other schools other than the basic school, especially beginners who have just started but have not yet entered the Olympic class, are the most important. ”

Dai Taichong said to the monks of the Dan Period: "Thank you two junior brothers, but Mr. Wang made it clear. This is really my shortcoming. ”

This is also a characteristic of the Principia mathematica of the Bourbaki school - it is very much like a textbook, each volume is divided into several chapters, each chapter is divided into several sections, and each section is divided into several subsections, and each subsection is followed by corresponding exercises.

In the genuine Principia Mathematica, the connections between the exercises and the text are very ingenious, accurate, and instructive. Many mathematicians believe that it is a loss to read this set of books and only read the text without doing exercises.

Dai Taichong was a little embarrassed: "To be honest, I haven't officially been a teacher, and I don't know how to write questions. ”

Wang Qi nodded: "Let me tell you this, you have read a lot of classic papers and books, right?"

Dai Taichong nodded: "It's really a lot of ......"

"Then sort out some of the arithmetic problems used for examples in those papers or books, screen one or two, and then arrange them in the logical order of the main text of our "Original Calculation". Wang Qi said: "Those arithmetic problems are all arithmetic problems written by countless predecessors in order to expound their own theories, most of which are classics, and have a deep connection with the theory itself. ”

This is another major feature of Prinkenia Mathematica. There were even later studies based on the exercises of the Principia Mathematica. In the second half of the twentieth century, all mathematicians were proud to have their own exercises included in the Principia Mathematia.

Dai Taichong was still a little hesitant: "I may not be able to do it well...... It's a bit difficult for me. ”

"Isn't Wei Cang a lecturer at the Li Jingxian Academy? Also, I've been working as a lecturer recently, so I'm going to make up some of it. Wang Qi said: "This shouldn't be all pushed to you." When Wei Cang comes back, let's sum it up. ”

It was not until the fifth day of the Lunar New Year that Wei Cang appeared in front of Wang Qi.

And the news he brought surprised Wang Qi very much. (To be continued.) )