405 edge
Su Yiyi tried her best to put on a serious and heavy expression: "I don't know, I see the excitement, just follow the store manager's emotions." ”
"But it's very mentally retarded......
"Be quiet, do you want to come out next time? ”
"Radius. The Void Heavenly Spirit said, "Pi cannot be determined by circumference alone." ”
"It's obvious, this plate hasn't gotten bigger or smaller, and the radius hasn't changed. Zhou You smiled casually, already relaxed, picked up the rope with a radius of 8 centimeters, and pulled it from the edge of the plate to the center of the circle, "It's rare and weird, I didn't expect people from the other world to really don't even know pi...... Know...... Knowing Knowing Knowing ............"
Zhou You's hand froze completely, then the body, and finally the voice.
He clearly saw that the rope began at the edge of the circle and ended at about one-third of the distance from the center of the circle, and no matter how hard he tried to pull it, he could not get any closer to the center of the circle.
"Yooooo............" The Void Heavenly Spirit couldn't suppress the aura blooming in his eyes, as if he saw some treasure, he slowly squatted down, "The circumference remains the same, and the radius ...... It's getting longer. ”
Su Yiyi and Wonton also surrounded them.
Su Yiyi seemed to sense something and was silent, but Wonton scratched his head and pointed to a pile of ropes: "Did you take it wrong?"
"No, it won't. Void Heavenly Spirit looked at the two ropes with a circumference and a radius, his eyes were slightly demonic, "The store manager deliberately chose the shortest group, both of which are the shortest, and it won't be wrong." ”
"Oh. Wonton thought hard again, and was quickly relieved, "That means that the pi here is different, what's the fuss." ”
What's all the fuss?
It's just a bit of a fuss, but it's hard to explain about wonton.
This is as shocking as 1+1=2.834587, the most basic mathematical law is wrong.
If the value of pi changes, then the circle must not be a circle, but the plate in front of you is round, exactly the same as when it was on Earth.
Zhou You fell into a long period of sluggishness and confusion because of this.
Wanton looked at him tangledly, leaned into Su Yiyi's ear and said, "I heard that the child born with the mentally handicapped is likely to be mentally retarded, do you want to tell Sister Jingjing to be careful?"
"Be quiet...... Su Yiyi pushed the wonton, "Don't talk too much, you are the least qualified to talk about this." ”
"??? no, I'm at least smarter than Fat Tiger, right?"
"Hmm...... There's no sun here. ”
After traveling around the stunned spirit, the Void Heavenly Spirit had already picked up the ruler and began to calculate the radius.
"Now the radius of this plate is about 12 to 13 centimeters. As she spoke, she picked up the 12-centimeter string and placed it on the plate, almost matching the radius of the plate, and then she measured the other two groups with a ruler, and without calculating, she had already concluded, "Now the pi is about equal to 2, and the circumference of the plate we brought has not changed, but the radius has changed." ”
Hearing this number, it actually makes Zhou You a little comfortable, at least here, pi is a fixed value.
"2 is 2, what's the big deal?" Wonton squatted next to Zhou You, carefully observing the retarded.
"How can I tell you......" Zhou You scratched his head.
"I'll do it. "Void Heavenly Spirit also squatted opposite the two, "Unlike physics and chemistry, mathematics is based on imaginary purely rational scenarios, does not depend on the environment and exists, all theorems are based on mental derivation rather than experiments, it can be said that mathematics is a constant existence divorced from reality." For example, a line with a length of one meter, in reality, you can't draw it, you can only get infinitely close to 1 meter, but it is impossible to do a whole meter, and the accuracy required is 0.00000...... 1. The number of digits in the middle is infinite, which is impossible to achieve in reality, and can only be as close as possible. By extension, for all mathematical laws, in reality, they can only be approximated, but cannot be fully expressed. ”
"Could it be a coincidence?" Su Yiyi also squatted down and asked, "For example, a person accidentally draws exactly one meter." ”
Then the probability of this coincidence is 0.000000...... 1. Infinite is approaching zero, you need to try an infinite number of times, this is already meaningless chaos. ”
"Okay...... Grandma, please continue to ......" Su Yiyi shrank back.
The Void Heavenly Spirit pointed to the plate on the ground: "The circle is also a basic mathematical concept, its definition is unbreakable, and there is also pi that is also unbreakable, 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." ”
Wonton nodded suddenly: "I don't understand the front, but I still hear the last sentence quite refreshed." ”
Zhou You pondered for a moment, stared at the plate and asked, "Since you said that mathematics is an abstract existence completely detached from the environment, can I understand it this way—pi should be calculated mathematically, not measured." ”
The Void Heavenly Spirit nodded affirmatively, "Of course." For example, Zu Chongzhi, he used the method of inscribed regular hexagon, he first set a circle with a diameter of one zhang, and then inscribed a regular hexagon, the side length of each side can be calculated, and then repeat this process, continuous inscribed, 12 sides, 24 sides, 48 ...... I have been doing the regular 24576 polygon, and finally using the sum of its side lengths as the circumference of the circle, I calculated pi, which is actually calculus, or manual calculus, and at that time there was no abacus. ”
"Why doesn't he just measure it, like the store manager. Wonton subconsciously asked, "Is he stupider than the store manager, is he a super ~~~~ level big fool?"
"Store manager, can you let her go back and play with Fat Tiger?" said Xutian Lingchong.
"Explain...... Just educate children......" Zhou Lobbying was a little embarrassed, in fact, he hadn't figured out this question before, just for the exam, and mechanically memorized 3.14.
Now that I think about it, maybe every student didn't understand it, and maybe even many math teachers didn't understand it, and everyone just didn't understand it.
"Hey......" the Void Heavenly Spirit sighed, "he may not have a ruler, he may not be able to draw a regular circle, there are many possibilities, but those 'maybes' are not important, the important thing is that any direct measurement is bound to be inaccurate." As I said, mathematical laws exist out of the environment, you can neither draw a line with a length of 1, nor can you draw an absolute circle, and if you want to calculate accurate pi, you can only rely on mathematical methods, not practical measurements, which is called rational thinking. With rational thinking, even if you miscalculate, it is still rational, and measurement is only practical experience, and no matter how accurate you measure, it is also experience. Compared to other planes where demonic martial arts are rampant and exist by relying on cultivation and experience, the greatness of human beings also stems from this, from a big fool like Zu Chongzhi. ”
Xu Tianling looked at Wanton, not knowing why he became more and more angry, and his expression gradually tightened: "Without them, you would have no mobile phone, no air conditioner, no car and no electrical appliances." You're playing video games, you're talking about idols, and you're talking about them, and they're stupid? Indeed, they're stupid, and they're not supposed to spend their whole lives just to make and appreciate garbage. The great human scientist struggled to find the truth and explore the world, but was cheaply enjoyed by the descendants who did not think about it. yes, they're stupid, big stupid!"
"Hmm......" Wonton was so frightened that he hid behind Zhou You, "What are you doing so fiercely...... I'll just say it casually. ”
"This ...... Although it is the original human ...... But I also think you're overdoing it. Zhou You also looked at the Void Heavenly Spirit with some dissatisfaction, "I thought so when I was as old as Wanton, most schools are just places to train people to get high marks on questions, you can't expect everyone to be so 'rational'." ”
"Sorry...... It's extreme......" The Void Heavenly Spirit covered his forehead and shook his head repeatedly, as if he was well aware of his gaffe.
Zhou You saw her self-blame and pushed the wonton.
Wonton made some effort before he stepped forward: "This ...... I'm ...... I don't love my brain very much, and I can't change it if I keep doing this...... Look, why don't I say as little as I can?"
"It's better not to say it. The Void Heavenly Spirit turned his head, "At least it's self-aware." ”
"Haha, I know you're not really angry. Wonton took Void Sky Spirit's hand and rubbed it, "It's okay, it's okay, don't take me next time." ”
"From now on, you are not allowed to speak. ”
"Uh-huh. Wonton covered his mouth.
Only then did Xu Tianling turn his gaze and travel: "In short, store manager, your understanding is fine, pi is based on calculation, not measurement." ”
That is, pi cannot be changed. Zhou You nodded.
The Void Heavenly Spirit nodded affirmatively: "At least I think so, the laws of mathematics exist only in rational abstractions, and do not transfer to circumstances and planes. ”
"Finally feel better...... Zhou You felt that his inner mental intelligence was consistent again, but he just breathed a sigh of relief and frowned again, "However, on Earth, the results of measurement and calculation are basically the same, why are they inconsistent in other places?"
"Maybe the earth is special, I don't know. The Void Spirit raised his hand and pointed at the Teleportation Stone, "To figure it out, we have to go to more planes. ”
"I thought so too. Zhou You looked back at the teleportation stone and sighed, "But I still don't understand why people in other planes can't understand pi, at least in the Yu Ling plane, it's easy to understand, it's equal to 2." ”
Su Yiyi nodded her chin and muttered, "Maybe the Yu Ling Plane is also very special?"
"Is it just that coincidental?"
"Mathematically impossible. The Void Heavenly Spirit shook his head.
"But this is not the world of mathematics, it is reality. Su Yiyi laughed softly, "Tianling, I have thought about that question again, assuming that the probability of doing something is infinitely close to zero, and then we try to do it infinitely, this is indeed incomprehensible." But in our reality, everything is finite, and there is no infinity, for example, Xianyu, at this time there are only 375 planes in total, who meets whom and what happens, is it possible?"
She winked at Zhou You, Wanton, and Void Sky Spirit: "Isn't this fate?"