Road to science and technology

Why? One plus one is equal to two. This is obvious. How can there be a reason?

Everyone in Yuqing Hall was a little confused at this time.

Especially Cangsong, Yuyangzi and Shuiyue, who had a bad temper. Their faces changed slightly now, and they seemed to be angry. If they didn't know they couldn't beat him, they would all rush up and give Yue Yuanzhou a beating this time!

How could anyone entertain them with such a question?

At this time, Tian Buyi couldn't bear it anymore. He took a step forward and said loudly: "The whole world is like this, why?"

Tian Buyi continued: "You want to say that one plus one does not equal two. I also know that a pile of rice plus a pile of rice is still a pile of rice. A drop of water plus half a drop of water is still a drop of water."

After finishing speaking, Tian Buyi seemed to be waiting for Yue Yuanzhou's denial, but what he didn't expect was that Yue Yuanzhou didn't say he was wrong: "Yes, this is a good idea. Dare to think and speak is part of learning science. important factor."

This is the most basic question. Of course Yue Yuanzhou will not talk about advanced Goldbach's conjecture.

In fact, what Chen Jingrun proved is that any even number greater than 2 can be expressed as the sum of a prime number and a number with no more than two prime factors. Record as 1+2. It seems that there is only one step away from 1+1. This story was spread by people and turned into a ridiculous rumor that Chen Jingrun proved 1+1=2.

So what Yue Yuanzhou is talking about now is indeed the most basic introduction to mathematics.

"Senior, please make it clear!" Tian Buyi cupped his hands and breathed a sigh of relief, finally not embarrassed.

Yue Yuanzhou did not continue to talk about it. He just asked these people to think about it. The purpose was to make them more impressed by what he said next.

"Actually, you have all learned arithmetic, which is just the simplest addition operation. It is so natural that you use it as a matter of course when you use it."

Everyone nodded, indeed they had never thought about this kind of problem before. After all, two stones put together are not two stones. This is the answer given by nature. There is no reason why. But today someone told them why there was something here, how could they not be confused.

At this time, Yue Yuanzhou continued: "I believe you also heard clearly what the leader of Dazhu Peak just said. This is a definition issue. If it is not clearly defined, one plus one will have different answers. To understand this question, one First of all, we need to define it. The so-called one plus one equals two is the definition of two.”

"First of all, it is stipulated that 1 is a natural number. Secondly, it is stipulated that the successor of any natural number is also a natural number. But in order to avoid a pile of meters plus a pile of meters equaling a pile of meters, we must also stipulate the third article, 1 is not a natural number Successor. Then stipulate Article 4: Different natural numbers have different successors."

"But in order to avoid the problem of a pile of rice plus half a pile of rice that Tian Buyi just mentioned, we have to stipulate the fifth rule. If a certain property is assigned to a natural number, the successor of this natural number can also have this property. And 1 does have this property, then all natural numbers will have this property."

Yue Yuanzhou said to himself: "This last one is mathematical induction. It is the most commonly used method for mathematical proof and it is also what must be understood to move towards the road of science. And mathematics is a tool of science. So you have understood these five points, You will know why one plus one equals two. After this, you can start to enter the palace of science."

"Of course, mathematical induction also has its limitations, but it is too early for you at this stage. For example, mathematical induction cannot be used to prove the monotonicity of a continuous function."

After finishing speaking, Yue Yuanzhou displayed the five Peano arithmetic kilometers on the projection screen, then looked around at the crowd with varying expressions and said, "Have you ever understood?"

"ah?"

"Uh-huh."

With Yue Yuanzhou's reminder, everyone in the Yuqing Palace looked at him with confused expressions, as if saying: Who am I? Where am I? What am I going to do?

What natural number? What successor. What mathematical induction.

At this time, Tian Buyi quietly poked Daoxuan who was standing in front of him: "Brother, head master, do you understand?"

Upon hearing this, Daoxuan immediately put away his somewhat confused face, showed a confident look, cleared his throat and said: "Of course I understand, it is indeed an entry-level method to the avenue of science. It is indeed exquisite."

Tian Buyi, who was standing behind Dao Xuan, naturally couldn't see Dao Xuan's confused expression just now. He really thought Dao Xuan understood.

He thought to himself: As expected of the leader, he understood it right away. I just thought about it for a while before I realized it was a matter of definition.

It’s just that there was such a complicated definition at the beginning, wouldn’t it be even more complicated later? It seems that no matter what kind of method, the method of immortality is full of difficulties.

At this time, Tian Buyi saw Cangsong still looking confused in his peripheral vision, and couldn't help but joked loudly: "Senior Brother Cansong, you must have understood such a simple introduction, right?"

"Huh? Oh, it's Junior Brother Tian!" Cansong Rumeng woke up, and then showed a confident look on his face just like Daoxuan's glance just now, and said proudly: "That's natural, this scientific way is indeed a method of immortality, I didn't expect it to be possible Analyzing a common problem so thoroughly is a direct way to get to the essence!"

Jin Ping'er, who was dressed in red, said that it would be better for her to go back to embroidery. Jinxiufang's business has been good recently.

"It's still like this. These ideas are too rigorous." Zeng Shushu's eyes changed from confusion to curiosity. He really didn't expect that a natural question could be analyzed in so many ways.

"That's it!" Wanwan Xiang also muttered and took a deep breath. He knew that this was really the beginning! Because he had listened very carefully just now, he clearly understood the following sentence, "Mathematical induction cannot be used to prove the monotonicity of a continuous function," but he did not understand what it meant.

Yuyangzi, who heard thousands of people muttering, quietly approached: "King of Ghosts, can you explain in detail?"

Thousands of people went: "..."

It is also explained in detail, so many people think that they should study the heavenly book carefully later. After all, this is completely different from what I imagined. It's not some great heavenly sound.

But since this is what others say clearly, it must be a very advanced way if he doesn't understand it, so he concluded that this is the introduction.

In fact, it's not that others don't understand at all, that is Wan Jianyi. But what he understood was not the mathematics itself, but the truth behind it, that is, Tao is everywhere.

At this time, Wan Jianyi's eyes suddenly became clear, and his breath began to change faintly: "It's the best, it's the best! It's really enlightening."

Wan Jianyi only has one sentence echoing in his mind now, and that is: Tao is drowning in shit.

He remembered this passage in "Zhuangzi Zhi Beiyou": "Dongguozi asked Zhuangzi: 'What is evil in the so-called Tao?' Zhuangzi said: 'It is everywhere.' Dongguozi said: 'It can be done after a period of time.' Zhuangzi said: 'In ants.' He said: 'How is it?' He said: 'In the barnyard grass.'... He said: 'How can it be worse?' He said: 'Drown in feces.' Dong Guozi should not respond."

That's it translated. Dongguozi asked Zhuangzi: Where does the Tao that people call it exist? Zhuangzi said: "The Tao is everywhere." Dong Guozi said: "You must point out the specific place where it exists." Zhuangzi said: "Among the ants." ’ Dongguozi said: ‘Why are you in such a low and humble place?’ Zhuangzi said: ‘In the barnyard grass in the rice fields. Dong Guozi said: "Why is it getting lower and lower?" Zhuangzi said: "It is among the tiles and bricks." Dong Guozi said: "Why is it getting lower and lower?" Zhuangzi said: "It is in the urine and defecation." ” Dong Guozi stopped saying anything after hearing this.