The crowd was excited. Pen "Fun" Pavilion www.biquge.info

Wang Qi was at a loss with a smile on his face, he didn't expect his pinch effect to be so good. Su Junyu on the other side was a little confused. Chen Youjia was the only one who banged his head on the table.

She was deeply saddened by the aesthetics and common sense of her fellow students.

- That paragraph, it's obviously this guy's nonsense! Can this guy be named seriously? Obviously not!

- Why do you really believe it?

After everyone's emotions gradually quieted down, Wang Qi said: "Very good, it seems that everyone agrees with my ideal." So, I'll talk about how to do it. ”

Wang Qi touched the slate. Under the action of the elephant's phase wave gong, the slate flattened and thinned again, and gradually turned into a huge stone slab two meters high and three meters wide, just like a blackboard.

Countless fine sword qi erupted from Wang Qi's fingers, and many small words were written on the stone slab. Those were all the names of some animals. It's just that his taxonomy is a bit strange, centipedes are grouped together with spiders and insects, turtles and toads are grouped together, sharks, whales, etc. are also counted among fish......

This is a very old taxonomy.

"The most primitive classification is nothing more than the classification of living beings according to their appearance. Wang Qi erased the words again, and then the sword qi slashed again. This time, a taxonomy resembling a dendrogram appeared on the blackboard, with a clear hierarchy of genera and species.

"And that's the taxonomy that is now used, according to evolutionary kinship. Which of these two taxonomy is better, everyone must know by heart. ”

Everyone looked at Wang Qi, not knowing why, not knowing how to answer.

They are disciples of the Ten Thousand Dharma Sect, what kind of way of living beings do they study?

Wang Qi tapped the slate lightly: "Don't you think that the current arithmetic actually still uses the first classification method?"

Zhao Qingtan belongs to the category with a faster brain. He quickly thought of something: "Senior Brother Wang, are you planning to reshape the classification of arithmetic?"

Wei Cang also frowned slightly, thinking in his heart - what's the point of this?

"Algebra, analysis, number theory, geometry – the average guy just treats arithmetic as a few big corpses, not a whole cow. Wang Qi emphasized: "Note that here, 'not seeing all the cows' does not contain any praise. Actually, you are more like blind people who touch elephants, bound by such thoughts. ”

"The idea of subordinating algebraic curve theory to geometry and group theory to geometry is too rigid. ”

"Since our ideal is to re-establish arithmetic, then, we must be simpler, and we must break it first. Break this stale thing and break it completely, and then stand up. Wang Qi slapped his backhand on the stone slab behind him, and the slate immediately shattered. And among the fragments, there are two big characters left.

Structure.

"Forget about algebra, analysis, number theory, geometry, forget the labels on the corpses, and concentrate on understanding the structure of arithmetic itself. ”

Another monk named Feng Xingchong stood up and asked blankly, "This ...... What should we think about if we get rid of those stereotypes?"

He is about to be a primordial god, so he is counting on Wang Qi to break through the sky, but Wang Qi is now directly "breaking and standing", and he feels a little pressure.

If the impact on the mind is too great, then he will postpone the day of breaking through the sky.

Wang Qi said: "This is not difficult to explain. He motioned for Feng Xingchong to sit down first, then folded his hands behind his back and explained: "In my opinion, the most basic thing in arithmetic is its structure. What is 'structure'?"

"When we try to use the idea of 'axiomatization' to deconstruct this arithmetic, we will have this feeling that the whole arithmetic should have a unified and holistic foundation, and the arithmetic should be developed on the basis of such a whole. And this foundation ......"

Before Wang Qi could finish speaking, he was interrupted by a gasping voice.

Zhao Qingtan was a little excited because he had some teacher-student relationship with the Geting faction: "You actually want to use axiomatic ideas?"

"Aximatization" is the method adopted by the arithmetic master when he creates the foundation of arithmetic.

But, unfortunately...... If you want to explain mathematics in axiomatic terms, then the logic used in the process should be complete, the whole system must be free of self-contradictions, and any proposition can be proved or falsified.

What's even more unfortunate is that this system was destroyed in the hands of Wang Qi. The efforts of the Geting faction in the calculation of the Yuan Calculation were all destroyed by Wang Qi's two treatises.

"Yes, why not. Wang Qi replied: "Actually, I still like this idea very much. It's just that the steps of the predecessors are too big, and they exceed our current capabilities. I am not asking for 'arithmetic' now, but for the foundation of 'known arithmetic', and I will use this knowledge to deduce the unknown—is there any more problem? ”

Zhao Qingtan sat down busily, while Wang Qi began to continue his speech.

"And this 'foundation' is the structure. In my current view, the most central thing in the world of arithmetic is the most general 'origin structure'. The characteristic of this structure is that the number of axioms is small. Because, the fewer the number of axioms, means that the structure is less restricted, and the less restricted, the wider the scope of the structure. ”

"The smaller the number of axioms in the same structure, the more generalized it is. ”

"Let's take a concrete example, the structure of group theory has four axioms, 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, associative law is established, unit element existence, and inverse element existence, then 'Qiantian' constitutes a group of 'Xuan'. At this time, if an auxiliary axiom is added, such as the infinite or finite element of 'dry sky', the structure becomes a more special finite group or infinite group. If we add the axiom that binary operations satisfy the commutative law, the structure becomes a commutative group again. ”

......

Pounding ...... Pounding ......

While Wang Qi was talking, the hearts of the others began to beat wildly.

- The idea...... Quite remarkable!

At this moment, arithmetic is different in their eyes. The specific formulas, methods, and graphs of the past have also begun to blur

This is also close to the realm of seeing mountains not mountains, and seeing water is not water.

"It turns out that arithmetic can still be like this......" Feng Xingchong clenched his fingers. For the first time, he felt that arithmetic could still be like this, and it could still be like this!

Completely subverted!

- Just for the sake of this amazing idea, it is worth postponing the Genshin for thirty years!

On the other side, Zhao Qingtan was almost crying. Before he stepped through the heavenly barrier, it was the law of perfection that was proven, and the master was like the sky, and he could break through the last question at a glance. Originally, he wanted to work hard in the direction of "joining the Geting faction" after breaking through the heavenly barrier. And after he broke through the heavenly barrier, he suddenly heard that the heart of the Lord Dao was lost, his cultivation was not one out of ten, and the Geting faction he longed for also fell into a stormy situation. This made him very confused for a while.

And now, the idea of the master is reproduced in this boy who replaced the master!

"Perhaps...... Is this really a generational renewal?"

Others also reacted in a variety of ways, to name a few.

Chen Youjia looked at Wang Qi in a daze from behind, and all kinds of feelings were tumbling in his heart.

But the most obvious of them is "pride".

- This guy has gotten better again......

In Wang Qi's narration, a new way of thinking has finally been established.

"Many years ago, when I was receiving the reward of the Dao Instrument, I said that problems in the field of arithmetic can actually be divided into several categories. Problems that cannot be solved, problems that hang out of the system, problems that generate methods, problems that generate general theories, and problems that lack the meaning to be solved. I think the direction of our next research will be mainly on the fourth category, and by the way, the third category. The second and fifth categories are less likely to provoke, and the first category should not be touched ......," Wang Qi said: "Remember, our pursuit is 'general' - don't care about the theories themselves, there is a broader structure under them, and that is our goal." ”

Among the crowd, a few people gasped again, and a few others sighed. Some others also came to their senses after reminiscing. Some of them quietly moved their eyes to Chen Youjia, who was hiding behind the crowd.

Wang Qi was stared at a little strangely: "What's the matter......?

Wei Cang smiled bitterly: "We're just ashamed of ourselves...... It turns out that you started thinking about such a deep question six or seven years ago......"

- Great ideas are all sharpened in ten years......

Zhao Qingtan was a little ashamed: "Back then, we thought you were deliberately choking Chen, after all, you two do have some dislikes......"

Among these guys, some of the clever ones had reviewed the papers and speeches that Wang Qi had published earlier, and they understood everything they could understand, and memorized everything they couldn't understand, so they could remember the small speech of the Taoist Reward a few years ago.

The direction of Chen Jingyun's main research, the calculation of Mingzhu, can be regarded as an "isolated problem", and it is only a "problem of generation method". At that time, many people also felt that Wang Qi was deliberately belittling Chen Jingyun.

Wang Qi coughed twice: "Regarding some things about me and Master Chen's private affairs, don't discuss them here." Let's move on to the next step. ”

The crowd smiled;

I don't know what great remarks Wang Qi will make in the "next link"?

Unexpectedly, Wang Qi took out a stack of test papers: "Everyone, finish writing these before dark." ”

A few people cautiously asked, "Is this ......?"

"Trial, if you want to know your level, just test it out. (To be continued.) )