The core work of the Bourbaki school is the "Prinkenia Mathematica", which has been updated and seems to be able to survive a generation. Pen, fun, and www.biquge.info

Unfortunately, Russell also wrote a book called Principia Mathematica. These two different books are often confused. But in fact, this is the pot of translation - the Chinese translation of the two books happens to be the same. There are many more differences between the two books than the original texts are in English and French, respectively. Russell's Principia Mathematica, honestly called Principiamathematica, literally translates to "the fundamental principles of mathematics." The Principia Mathematica of the Bourbaki school is literally translated as "the basic elements of mathematics".

The name is a nod to Euclid's Prima Geometry, which literally translates to "the essential elements of geometry."

Geometry is the foundation of ancient European mathematics and modern mathematics, the origin of geometry, and is known as "the most successful textbook in the world".

The Bourbaki school chose this name, and its thoughts are self-evident.

And the name of Wang Qi's "Original Calculation" also follows this line of thought.

The original calculation, to explore the foundation of calculation, so that people know the foundation of arithmetic.

"Next, I'll talk about the plan. First of all, we should first clarify a direction. Wang Qi said: "In what order should our original calculations be made? Because our final plan is a set that includes all known arithmetic, the first part is the most important......

Su Junyu interrupted: "Since you said so, you must have a plan." Say it directly, we see if it's appropriate. ”

Wang Qi nodded, and pulled out a book manuscript from his sleeve: "That's it." Take a good look. ”

Zhao Qingtan's face changed. He was in Nanming with Wang Qi, and he had heard Chen Youjia mention in a small discussion there that Wang Qi was writing a book. He said in a low voice, "Wang Qi, aren't you going to take it out at the beginning of next year?

This kind of summary stuff is a program for the future, and there is only a summary of past achievements and immature ideas. As long as the idea is reached, it will naturally write quickly. Wang Qi responded quietly.

"Hmm...... "Pure Arithmetic Grand View"? Su Junyu couldn't help laughing. This name really has Wang Qi's usual arrogant style.

Read the book again. I saw that at the beginning of this manuscript, the calculation credits are divided into four categories: "A, B, C, D". Among them, Category A is called "the ten most active branches of arithmetic at present" by Wang Qi, namely algebraic topology and differential topology, differential equations, ergodic theory, partial differential equations, noncommutative harmonic analysis, self-defending forms and modular forms, analytic geometry, algebraic geometry, and number theory. These are the most upper-level beings in arithmetic. Below Category A is Category B. This category is described by Wang Qi as "well developed and not as closely related to other branches as before." This category includes cohomology algebra, Lie groups, abstract transposition and analysis, Feng algebra, and mathematical logic. Category C is more basic and includes: categories and variants, commutative algebra, and operator spectrum theory.

The three categories of A, B, and C contain a total of 20 disciplines, which is the mainstream of today's Ten Thousand Methods.

Category D, on the other hand, is the basis of all disciplines in the previous three categories.

There are six branches of category D: Set Theory, General Algebra, General Topology, Analysis, Topological Vector Spaces, and Integrals.

This arrangement is quite interesting. It includes not only the areas that Wang Qi is best at, but also the fields that he has not been involved in before. And in the field of arithmetic logic, which he is most famous, he is only classified as Class B. "Number theory", which was once considered the basis for the study of arithmetic, can only be counted here as category A - the most popular, but not basic.

This is a far cry from the old arithmetic idea that the study of numbers and the study of shapes are the two main parts of mathematics. However, this is one of the hallmarks of the development of arithmetic. More and more people have realized that arithmetic is not as intuitive and simple as they think. They also have some ideas about arithmetic in their minds.

However, like Wang Qi's "Grand View of Pure Arithmetic", from a clear conditioning and logic, this relationship is rarely elaborated. What's even more rare is that Wang Qi did not deliberately ignore the achievements of Lianzong because he was a departure from the sect.

This is where even the original rulers were not exempt from vulgarity. The master is the leader of the sect, and his programmatic questions of the Twenty-three Questions of the East and West Sect deliberately ignore the achievements of the Lian Sect.

- This guy is so ambitious.

Although when they heard Wang Qi explain the "structure" half a year ago, everyone knew that he already had his own opinion on arithmetic in his heart, but today, this gives them another feeling.

Only Wei Cang smiled bitterly: "This kind of offending thing, Wang Qi, can you write less in the future...... This is still a disguised elevation of oneself, isn't it?"

Wang Qi's previous statement about "the classification of arithmetic problems" has caused some turmoil in Wanfamen. That speech undoubtedly angered some arithmetic.

Why is it that the problems you study are all questions of "methods of generation" and "general theories", while we are studying "prosaic problems"?

Although this part of the scholars did not have much right to speak, it had some negative impact on Wang Qi's reputation after all.

Because of the Shenjing incident, Wang Qi has now suffered some setbacks. That part of the people jumped out, which can be regarded as annoying.

Wang Qi shook his head: "If you take this road, don't be afraid of offending people." What we have to do is to change the whole science of arithmetic, and it must offend people. Next, I will talk about our tasks for this year and next year. Here's what I'm going to do. The same tone and homogeneity that I studied with you before. Layer theory and so on, and pan-variable days, which belong to the three fields of algebra, topology, and analysis, which are currently our focus. And some of them also involve 'points'. ”

"For a short period of time, the predecessors of the Geting School will still insist on research. After losing their arithmetic logic, their focus should be inclined towards algebra. Because...... Because of my relationship, it is difficult to say whether they will study set theory, but my teacher Feng Luoyi's predecessors, as well as the Turing real person of Qianji Pavilion, will always focus on mathematical logic and set theory because of the relationship between developing calculators. In these areas, we need to avoid competing with them. They are all years of leisure, and they should not be underestimated. If we fail in the competition, our hard work may be in vain. ”

Therefore, I think that the first thing we should compile is the "Original", which should include "General Topology", "Topological Vector Space", and "Integral Theory". ”

The three volumes reported by Wang Qi are the second, fifth, and sixth volumes of the first six volumes of the first part of the Principia Mathematica.

The crowd was silent.

Someone reminded: "Senior brother, that ...... Well, you said we can't compete with the other seniors of the Geting faction, but ...... This one...... You want us to compete with the Counter, right?"

That guy who counts the monarch seems to be much more terrifying than the Geting faction who doesn't count the master. The leader of the Geting faction in the previous generation was even directly abolished by him in the middle of the controversy!

"Arithmetic Jun, the content of the dwarf path has recently been revised, and there has been a subtle change in the explanation of gravity, and Shuanjun is very interested in this, and intends to revise his calculation of the movement of celestial bodies according to this theory - after all, the algebraic topology that we mainly study is just a random creation he created in order to solve the ternary problem. He's probably still focused on chaotic arithmetic...... Come to think of it, the multivariate autonomous movement would be able to satisfy him for the time being. ”

Moreover, even if you study this aspect, it doesn't matter much. Both Lizong and Lianzong study arithmetic, but from different perspectives. Even if they have made the same results as Shujun, most of them are expressed in completely different forms. At that time, just by proving the equivalence of these two results, another topic can be opened. And in the eyes of others, their own school is indeed working.

――Of course, this little bit of caution is not for outsiders.

"And then, that's for that, so we can take a little time out and do some points. Points are also important. ”

In the end, Wang Qi lowered his head: "I'm sorry, senior brothers and sisters, brothers and sisters, all of you, because of my own interest, I will do this......"

"Hey, say what is this doing. ”

"Yes. Which school of our Ten Thousand Methods Sect did not determine the direction of research because of the willfulness of the leader?"

"That's it!"

The enthusiasm of everyone is still very high.

....................................................................................................................................................................................................................................

After nightfall, everyone quickly left. It's just that they didn't go back to sleep. The monks didn't need much sleep in the first place, and now that they were in a state of extreme excitement, how could they sleep?

Go back now and fight at night!

Wang Qi has already pointed out a bright future, how can we rest!

After everyone left, Wang Qi took out some spiritual tea that he had hoarded at home, brewed a pot casually, and then handed it to Su Junyu opposite, and said, "Senior Brother Su, are there any questions?"

Su Junyu stared at Wang Qi and asked, "You kid, tell me honestly, how are you going to bite back?"

"Bite back?"

"If a dog bites you, you're bound to bite back. Su Junyu said: "Although I can guess, you plan to use ...... Statistics or probability, but how are you going to bite? ”

Wang Qi smacked his tongue: "It was actually seen." ”

"'I'm sorry, senior brothers and sisters, junior brothers and sisters, all of you are like-minded, because I am interested alone, so I will do this......" Su Junyu sneered: "You guy, the usual tone should not be 'Labor and management are going to do big things, and if you are brave enough, follow up'." (To be continued.) )