Vol 2 Chapter 1131: our way


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Feeling excited.
Wang Qi was overwhelmed with a smile on his face, and didn't expect his Hu pin to work so well. Su Junyu on the other side was a little confused. Only Chen Youjia bumped his head on the table.
She was deeply saddened by her aesthetic and common sense.
That paragraph is obviously this guy's Hu Ping! Can this guy get a serious name? Obviously not!
Why do you really believe it!
After everyone's emotions gradually calmed down, Wang Qi said: "Very well, it seems that everyone agrees with my ideal. So, let me talk about how to do it concretely."
Wang Qi touched the slate. Under the action of the elephant's phase wave power, the stone slab became flat and thin again, and gradually turned into a huge stone slab two meters high and three meters wide, just like a blackboard.
Countless delicate sword qi spurted from Wang Qi's fingers, and he wrote many small characters on the stone board. Those are all the names of animals. It's just that his taxonomy is a bit strange. Centipedes are put together with spiders and insects. Turtles and toads are classified as a class. Sharks and whales are also counted as fish ...
This is a very old taxonomy.
"The most primitive taxonomy is just to classify the creatures according to their appearance." Wang Qi erased these words again, and then Jian Qi redrawn. This time, a classification similar to a tree diagram appeared on the blackboard, and the genus and genus of the phylum phylum were clearly defined.
"And this is the taxonomy currently used, according to the evolution of kinship classification. Which of these two taxonomy is better, everyone must know it."
Everyone looked at Wang Qi, so I didn't know how to answer the call.
But they are disciples of Wan Famen, what spiritual way of study?
Wang Qi lightly knocked on the slate: "Don't you think that the current classification is still using the first classification method?"
Zhao Qingtan belongs to the category with faster brains. He soon thought of: "Sister Wang, are you planning to reshape the classification of mathematics?"
Wei Cang frowned slightly, thinking in his heart-what does this mean?
"Algebra, analysis, number theory, geometry-ordinary guys, just think of mathematics as such a few large corpses, but don't see the whole cow." Wang Qi emphasized: "Note that here, 'not seeing the whole cow' With any commendations. In fact, you are more like a blind man who touched the elephant, bound by such thinking. "
"Incorporating algebraic curve theory into geometry? Group theory into geometry? This idea is too rigid."
"Since our ideal is to re-establish mathematics, then it is necessary to break it a little bit and break it first. Break this obsolete thing into pieces, and then stand up." Wang Qi slapped his back on the slate behind him , The slate immediately collapsed. But among the fragments, these two big characters were left.
"structure".
"Forget the original algebra, analysis, number theory, geometry, forget the labels on the corpses, and concentrate on understanding the structure of mathematics itself."
Another monk named Dan Xingchong, who was called Feng Xingchong, stood up and asked blankly: "This ... If we discard those inherent concepts, how should we think?"
He was imminent, and he was counting on Wang Qi to break through the sky, but Wang Qi is now going to "break and stand up", and he feels a little stressed.
If the impact on thought is too great, then he will postpone the day of breaking through the sky.
Wang Qidao said: "It's not difficult to explain." He motioned to Feng Xingchong to sit down and then put his hands on his back, explaining: "In my opinion, the most basic thing to learn is its structure. What is 'structure'?"
"When we try to deconstruct this mathematics using the idea of ​​'axiomatization', we will have the feeling that the whole mathematics should have a unified and holistic foundation, and the mathematics should be developed on such a holistic foundation. And this foundation ... "
Before Wang Qi's words were finished, he was interrupted by a breath of cold breath.
Zhao Qingtan was excited because he once had some relationship with Geting School: "Do you actually want to use the axiomatic idea?"
"Axiomatization" is exactly the method adopted by the operator in establishing the foundation of the theory of mathematics.
However, unfortunately ... If you want to use axiomatic interpretation of mathematics, then the logic used in this process should be complete, the entire system must be free of self-contradictions, and any proposition can be proved or falsified. of.
Even more unfortunately, this system was destroyed by Wang Qi. The efforts of the Geting School on the calculation of the yuan calculation were all destroyed by Wang Qi's two papers.
"Use, why not use it." Wang Qi replied: "In fact, I still like this idea very much. It's just that my predecessor is too big and exceeds our existing ability. I don't require 'calculating' now, It's asking for the foundation of 'known mathematics' and using this knowledge to deduce the unknown-is there any problem? Brother, next time, please remember to let me finish talking. "
Zhao Qingtan sat down in a hurry, and Wang Qi began to continue his speech.
"And this 'foundation' is the structure. In my current perception, the most central element in the world of mathematics is the most general 'source structure'. The characteristic of this structure is 'the number of axioms is small.' Less means less restrictions on this structure, and fewer restrictions, the broader the scope of this structure. "
"In the same structure, the fewer the number of axioms, the more generalized it will be."
"It ’s good to say a specific example. There are four axioms in the structure of group theory. Assuming that the group" Qiantian "is a non-empty set and the symbol" Xuan "is a binary operation of it, then in the four axioms-closedness, The combination law is established, the existence of unit element, and the existence of inverse element, it is said that "gantian" forms a group with "xuan". At this time, if an auxiliary axiom is added, such as the element of "gantian" is infinite or limited, this structure changes Has become a more special finite group or infinite group. If the axiom 'binary operation satisfies the commutative law' is added, the structure becomes a 'commutative group'. "
...
Pounding ... Pounding ...
While Wang Qi was talking, other people's hearts started beating wildly.
-This idea ... is quite amazing!
At this moment, the mathematics is different in their eyes. The specific formulas, methods, and graphics of the past have also become blurred.
This is close to seeing that the mountains are not mountains and the water is not water.
"It turns out that this can be done ..." Feng Xingchong clenched his fingers. For the first time, he felt that the mathematics could still be like this, actually it could be like this!
Complete subversion!
For this great idea, it is worthwhile to postpone the Yuanshen for thirty years!
On the other side, Zhao Qingtan almost cried. Before he broke through the heavens, it was the perfect law that was proved. He originally wanted to work hard in the direction of "joining the song court" after breaking through the sky. After he broke through the heavens, he suddenly heard that the master's path was unsettled, that the cultivation of the ten was nothing, and that the Geting School he longed for fell into a turbulent situation. This made him very confused for a while.
And now, the mind of the operator is reproduced in this young man who replaces the operator!
"Perhaps ... this is really a replacement for Lizong?"
Others are also all kinds of reactions.
Chen Youjia looked at Wang Qi staring stunnedly in the back.
But the most obvious one is "proud".
This guy has become more powerful ...
In Wang Qi's narration, a new way of thinking was finally established.
"Many years ago, when I was rewarded with Taoism, I said that the problems in the field of mathematics can actually be divided into several categories. Unsolvable problems, problems hanging out of the system, problems with methods, and problems In general theoretical problems, there is also a problem of lack of meaning. I think that the direction of our next research will be mainly on the fourth category, and incidentally the third category. The second category is less provoking the fifth category, and the first category is Don't touch ... "Wang Qidao said:" Remember, our pursuit is 'general'-don't care about the theory itself, there is a broader structure under them, that is our goal. "
Among the crowd, a few took a breath of breath again, and there were a few people in the crowd squeaked. After some others recalled it, they also made a sudden realization. Others quietly moved their eyes to Chen Youjia hiding behind the crowd.
Wang Qi was stared a little strangely: "What's wrong? Both of them have this look ..."
Wei Cang smiled bitterly: "We are just ashamed ... It turns out that you started thinking so deeply about problems six or seven years ago ..."
Great thoughts, it's been like this for ten years ...
Zhao Qingtan was a little ashamed: "We thought you were choking Chen Master deliberately. After all, the two of you are really guilty ..."
Among these guys, a part of cleverness has reviewed the papers and speeches that Wang Qi once published. They can understand everything that they can understand, and they can hardly write down what they cannot understand. Little speech.
The direction of Chen Jingyun's main research, the calculation of the Pearl, can be regarded as an "isolated problem", and it is only a "problem of the method of generation". At that time, many people also felt that Wang Qi was deliberately demoting Chen Jingyun.
Wang Qi coughed twice: "Regarding some private matters of Chen Zhang and I, let's not discuss it here. Let's move on to the next link."
Everyone smiled;
Without knowing the "next link", what will Wang Qi say?
Unexpectedly, Wang Qi took out a stack of test papers: "You guys, write these before dark."
Several people asked cautiously: "This is ..."
"Trial, if you want to know your level, just test it."
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