Hundreds of schools follow

Chapter 88 Am I the stand-in?
Then, for half an hour, the audience was silent, only listening to Tan Ying's explanation, and watching Fan Huashi's drawing.

The two had a wonderful tacit understanding, where Tan Ying said, she turned around and saw a matching picture.

He said that the density and discontinuity of rational numbers turn back into a number axis.

He gave an example of irrational numbers, which turned out to be an isosceles right triangle and a circle.

Unknowingly, a series of new concepts also entered the scene one by one.

Naming is undoubtedly a big problem.

For example, on the basis of the existing naming, the numbers defined by Wu Shuzi before are called "real numbers", and the infinite non-recurring decimals are called "absurd numbers", which is undoubtedly very smooth.

But when imaginary numbers are introduced in the future, new troubles will be introduced.

After thinking about it, rational numbers and irrational numbers are more appropriate.

And all rational numbers and irrational numbers jointly construct real numbers.

It is logical here that Tan Ying initially introduced the concepts of sets and functions.

There is no need to say too much about the name of the collection, just call it a collection.

As for the function, Tan Ying followed Fan Huashi's system and named it "flow number" and the function curve "streamline".

Speaking of this, most people are already confused.

On the contrary, Fan Hua nodded frequently, feeling that Tan Ying thought more clearly than herself.

As a result, the situation eight years ago reappeared, and Tan Ying, like Wu Shuzi back then, unknowingly, gradually became a lecturer for Fan Huashi alone.

This may be a common problem of teachers.

Just like that, after the audience listened dully to this small incident for a long time, Tan Ying turned around in a daze and said: "What I said is quite simple, isn't it, who has a problem?"

Everyone bowed their heads in bewilderment.

dare not.

Don't dare have a problem.

Looking at their expressions, Tan Ying suddenly realized.

Wu Shuzi, I am already myself.

Now, who dares to question me, who has the right to question me?
It turned out that he was the loneliest.

When he met Fan Hua, it might be the greatest luck in his life.

And who can I meet?

Just when he was about to announce the end of the explanation.

The only man who followed the hall suddenly raised his hand.

"Tanying, I don't agree."

This voice collided like a cliff, who else could it be if it wasn't Fan Ya?
Tanying's eyes froze suddenly.

I don't want you, go away!

But he didn't dare to say that, he only dared to bow humbly and said: "Si Ye, please."

Fan Ya stood up immediately.

When it comes to theory, he is naturally more meticulous than anyone else.

At this moment, he left all the trivial matters of today behind him, and only questioned like Tan Ying did when he was talking about it that day:

"Your definition of an irrational number is an infinite non-repeating decimal.

"I don't know whether this is accurate, whether it has evidence, and I don't know how to express it mathematically.

"You just said that Wu Shuzi's biggest problem lies in his blind belief in intuition, vague axioms, and lack of purely mathematical derivation and expression.

"But you're doing the same thing.

"You said that the combination of rational numbers and irrational numbers constitutes all the numbers on the number line, and the number line is only continuous and complete.

"How to prove this? Could it be that there is no third type of number on this axis?"

Facing Fan Ya's question, Han Sun rubbed his head and Ying Li sighed.

At a time like this, Fan Zi is the only one who can compete with his mental strength.

However, the two of them applauded together.

Ying Yue: "No shame on Fan Zi! Give me the Mo family to earn back!"

Si Qinghuang: "Wicked people... wicked people need to be tortured by wicked people!"

Ying Yue: "Be careful what you say."

Xiaoqian: "Be careful what you say!"

On Tanying's side, facing Fan Ya's relentless arrogance, just when he was about to blurt out "This is not a matter of course".

He was startled again suddenly, feeling that he was more and more like Wu Shuzi.

He said that rational numbers constituted everything, beyond doubt.

I say that rational numbers and irrational numbers constitute everything, and there is no doubt about it.

How am I different from him?

Yes, nothing is taken for granted in mathematics, it is all proved and defined.

Suddenly, Fan Ya stepped forward: "With the help of the collection you just mentioned, I thought of a method, you might as well listen to it."

"Siye please." Tan Ying stepped back respectfully.

So Fan Ya got charcoal from Fan Huashi, drew a line on the board, and drew a vertical line in the middle to divide it.

"Take this point as a cut.

"If the number line outside this point contains all rational numbers.

"Then this point is an irrational number.

"If it is expressed mathematically, according to the set theory you just mentioned, it should be like this..."

Fan Ya wrote while talking, comparing Tan Ying's collective symbols, sorting out his definitions somewhat lamely.

Before hissing and writing, another half of the board disappeared.

Then he rubbed his cheeks again: "In this way, I can define the union of irrational numbers and rational numbers as a new set, which is the real number you mentioned. Well... If there is such a basis, I only need to add It proves that the real numbers cannot be cut again, and this section of the number axis is continuous, and the two construct the entire number axis..."

After saying that, he frowned and started writing again.

Just when he was writing hard.

Tan Ying seemed to hear something.

hum... hum... hum...

When Fan Ya breathed a sigh of relief, she put down her pen and looked back at Tan Ying, wanting to ask him "how".

Only then did I realize that the audience was in awe.

now.

He also finally pulled out of the world of mathematics and science, and heard the voice that he had been looking forward to all his life.

Fan Ya slowly opened her mouth, like a child.

It turned out to be like this...

It turned out that what was blocking me was the same thing that was blocking painting time...

The numbers are complete.

This axis is continuous.

The way is also clear.

I and heaven.

An inch closer!
In the sound of the tripod, under the solemnity of the audience, Han Sun announced in a trembling voice:

"Please Fanzi...

"Sit on a tripod.

"Ask."

……

As Fan Ya sat on the cauldron and asked, it's hard to say anything else, Bai Pi who is about to leave work will definitely not be able to escape.

He didn't know why either.

He is a concierge.

In addition, it is only responsible for maintaining the tripod that may not be used once every seven or eight years.

Fight a fight that you may not be able to fight in your life.

But why in just ten days, all the jobs became his?

What is even more worrying is that Fengtian old scholar.

The road has not yet been pointed out, and the giant is gone.

Then there is that Fan Huashi who got the Tao, he is an old ink artist, so he has to give him this material, right?
Now, Fanzi, you are also here, and you asked me to borrow materials. I gave it to the granddaughter, but you have to give it to the grandfather, right?

You are materialistic, you, Qin Gong, have messed with me so much in one go.

How can I explain this to Fengtian...

Asked about this side of the lobby, the banquet suddenly stopped.

Within a ten-day period, the tripod mingled twice, which can only be said to be unprecedented.

Unlike Tanying sitting on a tripod, Fan Zi's sitting on a tripod deserves his name. Everyone is really happy for him, and it doesn't matter how much talent he has.

Sitting on the table, Tan Ying watched Zhou Jingzhi pay for his protection, and she felt unimaginable expectations in her heart.

Wu Shuzi's saying is correct, mathematics and theory are the foundation of all things.

As mathematics and science have crossed this hurdle, more and more theories will be inspired by it and advance thousands of miles day by day.

The giant fell, but everything was born again.

Fan Huashi, Ying Yue and Fan Ya are just the beginning.

The new climax of the Taoism era is coming.

Although it is forced to open, it is still open.

In such an era, I am a materialist and indeed I should no longer shrink back.

Thinking of this, Tanying couldn't help saying to the left and right: "Qian, painting time, we really have to step up to preach."

Xiaoqian nodded sharply: "Master, I have been working very hard."

When Fan was painting, he just stared at Fan Ya, and after a moment of meditation, Xiaoqian's notebook and pen came to him suddenly, and just like Fan Ya, he bowed his head and began to write.

After a while, she showed the three-line draft to Tan Ying: "Can this formula set the limit?"

Tan Ying looked at those few lines of expression and was speechless.

Didn't you agree to use your whole life to define it together? Why are you like this?

But she is already like this, so what can Tan Ying do.

He only gently pushed the booklet back, pointed at the few lines of definitions and said: "Mathematical systems are interoperable. If you convert this set expression into a flow expression, that is the final appearance of that stone."

"!" Fan Huashi was startled, "It's like this..."

Then she turned to Tanying again: "You already thought of that?!"

"Hey~" Tanying grinned, "What is a teacher? Teaching someone to fish is worse than giving him a fish."

"You can't look like a celebrity!" Fan Huashi gritted his teeth, and then started to sketch again, "Forget it...I will train you when I go back."

Next to him, Ying Yue looked dumbfounded again.

I don't understand what they are talking about, let alone the relationship between them.

Words are lovers, names are master and apprentice, and senses are mother and child.

It's too complicated, I still don't understand it.

Compared with the indescribable mathematics and ethics, he is more sensitive to specific matters. At this time, he only suppressed his voice and said to Tanying: "The teacher has been in the five realms for many years. Today, Wu Shuzi broke the way and sat on a tripod again. By chance, it may be able to break through the six realms."

"That's not a wonderful thing." Tan Ying nodded steadily.

"If this is the case, then only the teacher can be the next generation of giants."

"Isn't that better?"

"It's wonderful, but the headquarters and foundation of the Mohist school are all in Wangji." Ying Yue thought hard, "If the teacher really becomes a giant, he will be like Wu Shuzi back then. I'm afraid he will go to Fengtian."

"Oh, this kind of thing can be changed." Tanying didn't worry at all, she just pouted at Han Sun who was opposite him who was thinking strangely, "Look, Jijiu is already thinking about how to operate it."

On the opposite side, Han Sun saw Tanying's expression from a distance, and smiled with Yingli who was beside him: "Look, Tanying is already thinking about how to move the Mohist headquarters to Xianjing."

"Oh." Ying Li sighed bitterly and bowed her head, "Teacher, please don't do this, I don't want to accept that Tan Ying looks like you."

"Isn't that charming?"

"..." Yingli's expression tightened suddenly, "Teacher, not only is Tanying more and more like you, but you are also more and more like Tanying when you speak now."

"........."

Now, Han Sun was finally a little scared.

He made jokes about Fan Ya becoming a materialist all day long...

Looking at it this way, could it be me who was melted?
……

Contrary to what had been imagined, Fan Ya did not sit on the cauldron for too long.

With only seven or eight sets of materials, he was on the verge of falling, but fortunately Zhou Jingzhi helped him stabilize.

After a while, Fan Ya regained consciousness and woke up.

He was only dumbfounded, but speechless.

"Teacher..." Zhou Jingzhi asked in fright, "Is this... successful or not? Can it break through the sixth realm?"

Fan Ya was stunned again when he heard the words, and then suddenly pushed Zhou Jingzhi away, and walked quickly to the front of the board, grasping the sides of the board with both hands and reading line by line, reciting:

"It's more important.

"There are more important things hidden here...

"Wu Shu's paradox is due to this, and the chaos and difficulties in the academic world are also due to it...

"How should it be described, how should it be described..."

At the end, he unconsciously looked at Tan Ying.

I don't know if it's because of his intuition or the guidance of heaven.

He felt the answer was there.

Tan Ying has been immersed in the ink shop for many days, how can he let him down?
"Axiomatic." Tan Ying said softly.

"Yes!" Fan Ya shouted suddenly, turned around and said to everyone:

"Axiomatic.

"Starting from mathematics, axiomaticize all theories!

"Deduce as much as possible, be as concise as possible, and finally form an unbreakable system.

"This is my comprehension."

"Remember, you must remember that this is the righteous way of all ages. With this foundation, the way will be continuous and future generations can continue. If you follow this method, disputes can be settled and Dali can be settled!
"Oh! We have so much to do.

"Alas! Alas! If only I had just been born..."

In the shock and puzzlement of the audience, only Han Sun asked, "Si Ye has broken through?"

"Breaking the realm? Oh, breaking the realm." Fan Ya thought for a while before spreading out his right hand, feeling dull, "Compared to the great achievements of 'axiomization', what is this realm?"

That being said.

The atmosphere that swayed from his body has also completely changed.

It's just not the shape you imagined.

It stands to reason that Fan Ya's aura is dominated by earth and supplemented by gold. The atmosphere is heavy earthy, and there is an inexplicable toughness in it. It has always been the most prosperous in the Qin Palace.

But at this time, the earthy color was lighter and softer.

In the eyes of ordinary bachelors, this energy seems to be thinner, not as good as before.

But with Han Sun as the leader, all scholars above the three realms stood up in shock.

That's not thin.

Instead, something new appeared between Tuli and King Kong...

Although visually he seems to be soft.

But if you look at it with Qi, he is even stronger!
Ruo used "diamond" to describe Fan Ya before.

Now he is soft gold.

Although diamond is hard, there is always a moment of fracture and wear.

Only real gold is immortal.

Seeing this, Han Sun saluted first: "I wish Fan Zi a breakthrough!"

Then everyone rose up: "I wish Fan Zi a breakthrough!"

Even under the gaze of the whole room, Fan Ya also froze.

I have changed?
Unknowingly, I have changed?
Such a weather can only be...

Thinking up to this point, he looked at Tanying in great fear and apprehension.

Those eyes couldn't tell whether it was love or hate, whether they wanted to curse or beat people.

You even harmed me? ! !
For such a look, Tan Ying couldn't avoid it, sweating profusely on her face.

Who the hell wants to harm you...

It's not that you insist on giving it for nothing...

Looking at Fan Ya like this, even Fan Huashi couldn't solve this problem, so he just shook his head secretly and said: "Grandpa, it's going to be difficult now..."

The only good news is that, just like the weather in Tanying that day, those who noticed this did not point it out tacitly.

In the treacherous atmosphere, it was Han Sun who made the final decision:
"Scribe, remember.

"The 107th year of the beginning of Taoism, the [-]th day of the seventh month.

"Fan Zi sat on a cauldron in the Qin Xue Palace and asked, breaking through the six realms, his aura is like real gold, or it is unique in this world.

After hearing such words, everyone realized it.

Following Wu Shu's broken words, perhaps there is no second person in front of Fan Zi.

This is not called a giant, who is called a giant?

It's just that they don't know.

Fan Ya, Ben Ya, has fallen into a paradox that belongs to him alone.

I may have to become a Mohist giant...

But in fact... during the sitting on a cauldron just now... under Tan Ying's last point...

I have gradually turned into the shape of a materialist...

As a giant of the Mohist school, what he preaches is the materialistic way...

So down... With the advancement of axiomatic...

My future disciples of the Mohist school...will also be stained with the color of the materialists...

Oops.

I am that only thing?

To support materialism with the resources of Mohism?

No!

Only I can't be this giant!
(End of this chapter)