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405 Edge

Su Yiyi tried her best to put on a serious and heavy expression: "I don't know, I'm watching the fun, just follow the store manager's mood."

"But it's very mentally retarded..."

"Speak softly, do you want to come out to play next time?"

"Radius." Xu Tianling mentioned, "The pi cannot be determined based on the circumference alone."

"This is obvious. The plate has not become bigger or smaller, and the radius will not change." Zhou You smiled casually, relaxed, picked up the corresponding 8 cm radius rope, pulled it from the edge of the plate to the center of the visual circle, "It's rare, I didn't expect that people in the other world really didn't even know the pi... Know... Knowing, Knowing, Knowing,..."

Zhou You's hands completely froze, then his body, and finally his voice.

He clearly saw that the rope started from the edge of the circle and ended at about 1/3 of the center of the circle. No matter how hard he tried, he could not get closer to the center of the circle.

"yooooo…..." Xu Tianling couldn't suppress the spiritual energy blooming in his eyes. He squatted down slowly as if he had seen some treasure. "The circumference remains unchanged, and the radius... has become longer."

Su Yiyi and Wanton also surrounded him.

Su Yiyi seemed to feel something, and she remained silent. Wanton scratched her head and pointed to a pile of ropes: "Did you take it wrong?"

"No." Xu Tianling looked at the two ropes with circumference and radius, with a slightly magical look. "The store manager deliberately chose the shortest group, and both of them are the shortest, so it's not wrong."

"Oh." Willon thought hard again and felt relieved, "That means the pi here is different, what's the fuss about it."

What's the fuss?

This is simply worth making a fuss, but it is difficult to explain the wonton clearly.

This is as shocking as 1+1=2.834587, and there is something wrong with the most basic mathematical law.

If the pi value changes, the circle must not be round, but the plate in front of you is round, exactly the same as when you were on Earth.

Zhou You fell into a long period of stagnation and chaos as a result.

Wanton looked at him entangledly, leaned into Su Yiyi's ear and said, "I heard that the child born with a mentally retarded may also be mentally retarded. Should I tell Sister Jingjing to ask her to be careful?"

"Slowly..." Su Yiyi pushed wonton, "Don't talk too much, you are the least qualified to say this."

"???No, I'm at least smarter than Fat Tiger, right?"

"Hmm...Huh? There is no sun here."

Zhou You was stunned by the kung fu, Xu Tianling had already picked up the ruler and gestured to start calculating.

"The radius of this plate is about 12 to 13 cm now." She said, picking up the rope representing 12 cm and putting it on the plate, which almost matches the radius of the plate. Then she measured the other two groups with a ruler. Without calculation, she had concluded that "the current pi is about 2. The plate we brought has the same circumference as the ones, but the radius has changed."

Hearing this number makes traveling a little comfortable. At least here, pi is a fixed value.

"2 is just 2, is there any big deal?" Willon squatted beside Zhou You, carefully observing this mentally retarded.

"Why tell you..." Zhou You scratched his head.

"I'll do it." Xu Tianling also squatted across the two. "Unlike physics and chemistry, mathematics is based on pure rational scenes in imagination and exists without relying on the environment. All theorems are based on thinking derivation rather than experiments. It can be said that mathematics is a constant existence that is separated from reality. For example, a line with a length of one meter is impossible to draw in reality. You can only draw in reality. You can only get 1 meter infinitely close to 1 meter, but it is impossible to achieve a whole meter. The accuracy required is 0.00000...1. The number of digits in the middle is infinite, and it is impossible to achieve in reality, so you can only get as close as possible. By extension, for all mathematical laws, you can only be approximate in reality and cannot be fully expressed."

"Will there be a coincidence?" Su Yiyi also squatted down and asked, "For example, if a person accidentally draws a meter."

"Then the probability of this coincidence is 0.000000...1, infinite approaches zero, you need to try infinitely, this is meaningless chaos."

"Okay...Madam, please continue..." Su Yiyi shrank back.

Xu Tianling pointed to the plate on the ground: "Circle is also a basic mathematical concept. Its definition is unbreakable, and there is also unbreakable pi. If this value will change, then the entire mathematical system will collapse, 1+1 will become an irrational number, and even how 1 itself exists cannot be known. We cannot exist in such chaos and absurdity."

Wanton suddenly nodded and said, "I can't understand the previous one, and I feel quite happy with the last sentence."

Zhou You pondered for a moment, stared at the plate and asked, "Since you said that mathematics is an abstract existence completely separated from the environment, can I understand it this way - Pi should be calculated using mathematical methods, not measured."

Xu Tianling nodded with certainty and said, "Of course. For example, Zu Chongzhi calculated by using the method of incorporating regular hexagons. He first set a circle with a diameter of one zhang, and then incorporating regular hexagons. The length of each side can be calculated, and then repeated this process, continuously incorporating 12 sides, 24 sides, 48... and finally achieved a regular 24576 sides. Finally, he used the sum of its side lengths as the perimeter of the circle to calculate the pi. This is actually a calculus or a manual calculus. At that time, there was no abacus."

"Why don't he measure it directly? It's like the store manager." Wanton asked subconsciously, "Is he stupider than the store manager? Is he a super~~~~~~ level idiot?"

"Shopkeeper, can you let her go back and play with Fat Tiger?" Xu Tianling rushed Zhou You.

"Explain it... just treat it as educating the child..." Zhou You said a little embarrassedly. In fact, he had not figured out this question before. He just mechanized 3.14 for the sake of the exam.

Thinking about it now, maybe every student doesn’t understand it, and maybe even many math teachers don’t quite understand it, so everyone just masters mathematics in an unknown way.

"Oh..." Xu Tianling sighed, "He may not have a ruler, he may not be able to draw regular circles. There are many possibilities, but those 'posses' are not important. What is important is that any direct measurement result must be inaccurate. I have said that mathematical laws exist without the environment. You cannot draw a line of length 1, nor can you draw an absolute perfect circle. If you want to calculate an accurate pi, you can only rely on mathematical methods rather than practical measurements. This is called rational thinking. Using rational thinking, even if you calculate wrong, it is rational, and measurement is only practical experience. No matter how accurate you measure, it is also experience. Compared with other planes where magic weapons are rampant and exist by cultivation and experience, human greatness also comes from this, and comes from big fools like Zu Chongzhi."

Xu Tianling looked at Willon, for some reason, and his expression gradually tightened: "Without them, you wouldn't have a mobile phone, air conditioner, cars, and electrical appliances. You play electronic games, talk about idol stars, but say they are fools? Indeed, they are fools, they shouldn't burn their whole life's energy just to make you create and appreciate garbage. The great human scientists struggle to pursue the truth and explore the world, but are enjoyed cheaply by the descendants who have not thought about it. Yes, they are fools, big fools!"

"Um..." Willon was so scared that he hid behind Zhou You, "What are you doing so fiercely... I just said casually."

"This... although it is an authentic human... I think you have too much said it." Zhou You also looked at Xu Tianling with dissatisfaction. "I thought so when I was as old as Wanton. Most schools are just places to train people to get high scores in their exams. You can't expect everyone to be so 'rational'."

"Sorry... it's extreme..." Xu Tianling covered his forehead and shook his head repeatedly, as if he knew his incompetence.

Zhou You saw her blaming herself and pushed wonton.

After working hard, Wanton walked forward: "This... I... haven't loved my brain very much. I've been like this all the time and can't change it... Look, why don't I try to say a few words?"

"It's better not to say it." Xu Tianling turned his head, "at least he has self-knowledge."

"Haha, I know you're not really angry." Wanton pulled Xu Tianling's hand and rubbed it, "It's okay, it's okay, don't take me next time."

"You are not allowed to speak now."

"Mmmmm." Willon covered his mouth tightly.

Xu Tianling then turned around and looked around: "Anyway, store manager, you have no problem with your understanding. Pi is based on calculations, not measurements."

"That is, the pi cannot be changed." Zhou You nodded.

Xu Tianling nodded affirmatively: "At least I think yes, mathematical laws only exist in rational abstraction and are not transferred by environment or plane."

"I finally feel more comfortable..." Zhou You felt his mentality reconciled again, but he just calmed down and frowned again, "But, on the earth, the results of measurement and calculation are basically the same. Why are other places inconsistent?"

"Maybe the earth is special, I don't know." Xu Tianling raised his hand and pointed at the teleportation stone, "To figure it out, we must go to more planes."

"I think so too." Zhou You looked back at the teleportation stone and sighed, "But I still don't understand why people in other planes cannot understand pi. At least in the Yuling plane, this is easy to understand, it is equal to 2."

Su Yiyi lit her chin and murmured: "Maybe the Yu Ling plane is also very special?"

"Is that a coincidence?"

"It's impossible in mathematics." Xu Tianling shook his head and said.

"But this is not the world of mathematics, it is reality." Su Yiyi laughed softly, "Tianling, I have thought about that problem again. Assuming that the probability of doing something is infinitely close to zero, then we try to do it infinitely, which is indeed incomprehensible. But in our reality, everything is finite and there is no infinite. For example, Xianyu, there are only 375 planes in total. It is possible for who meets whom and what happens, right?"
Chapter completed!
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