Located north of the Alps, Zurich is a small city with a long history and the capital of permanently neutral Switzerland.

Of course, the so-called population is relatively small, and the city is the center of the entire Blue Star banking industry, and it is also one of the cities with the highest concentration of Europa, and indeed the entire Blue Star billionaires.

The University of Zurich is also one of the most famous institutions of higher learning in Europa, and strangely enough, this school is very specialized, and its research in human immunity, medicine and bioengineering is particularly developed, and it is faintly in the leading position of the entire Blue Star.

"In fact, the reason is very simple", Wang Yinan explained to Zhou Hui,

"Because the richer the person, the more afraid of death, so the rich people of the whole Zurich are desperately funding the research of the University of Zurich in this area, hoping that one day they will be able to develop a medicine for immortality".

"So Qin Shi Huang back then was also the same mentality, right?", Zhou Hui said,

"I think you're also quite afraid of death, or you might not take a plane once, it's like killing you", Zhou Hui couldn't help but debunk Wang Yinan's old bottom,

"That's different, I'm afraid of the unknown, when the plane is dangling in the air, because I don't know what the situation outside makes me afraid", Wang Yinan tried to defend himself,

"Of course, everyone is afraid of death, aren't you afraid?" In the end, Wang Yinan still had to admit that he was really afraid of death.

Because of the matter on his mind, Wang Yinan's speech at the University of Zurich was a little unsatisfactory, which is also normal, after all, in the face of the subversive conclusion of that article, it is strange to be calm.

In fact, before reading that article, Wang Yinan had some similar thoughts, from the evolution of the Gödel system version 1.0 to the Gödel system version 2.0, the evolution process of the whole system has been a bit like this.

Gödel's System 1.0 is based on human experience, and its inputs are the laws of nature and some of the human working patterns, so the flaws found can easily be expressed in a form that humans can understand.

But Gödel's system 2.0 is different, its input abandons the human working mode, and it is completely learned from scratch, and the result of learning is the neural network inside the Gödel system that no one can understand.

The most ideal solution is for humans to understand the meaning expressed by neural networks, and then apply them in their own practice, but obviously they can't do this at present, because no one can understand it, so they have to use neural neural networks to pick mistakes and help humans create higher quality systems as much as possible.

In fact, the best system is the neural network itself, and in the field of machine recognition of words, numbers, and even faces, people have done this, and putting the neural network and the chip directly together on the recognition device has also achieved very good results.

However, in the vast majority of applications, this cannot be done directly.

Just like the previous superconductivity research, the Gödel system directly derived the lattice structure of a better superconductor, but if someone asks Wang Yinan, "How did you get such a structure?" Wang Yinan can't answer, because at least for now, no one can accept that this is the result of an artificial intelligence derivation.

Therefore, Wang Yinan, Li Wenjing, Mr. Qiu and Professor Tao, combined the strength and wisdom of the four people, and finally found a theoretical path that can be understood by humans, and successfully deduced the conclusions that the Gödel system has long obtained through neural networks.

Wang Yinan is still wondering if he can learn something from this experience, and can find a general way to describe the conclusions of neural networks, or to deduce the results of neural network simulation evolution from existing theories.

But now, the article clearly says, "No, No, No", "this universal method does not exist mathematically",

"The conclusions of the vast majority of neural networks cannot be described in terms of formal systems that humans can understand."

Of course, strictly speaking, this is not the limit of human intelligence, but the limit of human logical thinking ability, because the human brain itself is composed of biological neural networks, and the ability of human beings to recognize words and images is also done through neural networks.

In the most popular sense, the conclusion of the article can be expressed as follows: "Not any two different faces can be distinguished by the way in which their characteristics are described in language".

Looking at the snow-capped Alps in the distance, Wang Yinan's mind finally found a place where he could barely settle down, "the limits of logical thinking, not the limits of human intelligence", a conclusion that he could barely accept.

After all, this is not the first time such a thing has happened in modern science, Gödel's incompleteness theorem has proved that contradiction is an essential property of all formal systems, and scientists at that time were much more affected, and this article only goes further, proving that logical thinking, and even formal systems themselves, cannot describe all complex existences.

Of course, the current conclusion is still a conjecture and cannot become a theorem, although the strongest five members of the Blue Star team are convinced that this conclusion is correct, this conjecture must be supplemented with all the loopholes and omissions in the logical chain before it can become a theorem.

"What an irony", the setting sun reflected on the perennial snow on the top of the Alps, smearing a magnificent golden light, like the crown of science, dazzling and solemn and sacred, Wang Yinan muttered to himself,

"Human beings can actually use their logical thinking ability to prove the limitations of logical thinking ability itself, is it possible that in the future textbooks, when new materials or even theories appear, what is attached is not the process of proof, but the conclusion of the XXX neural network, when is it reached?"

"Then I don't need to explain why we can get the lattice structure of the new superconductor, write a sentence, after 100 hours of simulation training of YYY artificial intelligence, we get the lattice structure that the new superconductor should have is enough."

"This is the glorious prelude to a new era of science",

"Or is it a prelude to a catastrophe?"

"It's really nerve-wracking", Wang Yinan fell into a long contemplation.

Wang Yinan looks at the Alps, is a lakeside boulevard, the University of Zurich reception specifications still have not to pick, the hotel they chose is located on a beautiful lakeside, picturesque, pleasant air, Wang Yinan from the imperial capital felt that he was about to get drunk with oxygen, it is estimated that a large wave of car exhaust can return to normal.

Zhou Hui looked at Wang Yinan's face, under the brilliance of the setting sun, because of thinking, as if radiating a dazzling light, full of charm, Zhou Hui's favorite is such Wang Yinan.

"What are you thinking?" , When Wang Yinan's gaze was retracted from the distant mountains, Zhou Hui asked,

"Do you believe in God?" , Wang Yinan asked,

"Most of the time I don't believe it," Zhou Hui replied.

"But sometimes, when I encounter something that I can't understand or explain, I think God may still exist," Zhou Hui said.

"I don't believe it either," Wang Yinan said.

"But I can imagine that maybe soon, God will add a large number of believers."

"Why?" Zhou Hui asked, "Is it because of the manuscript you discussed these days?" ”，

"Congratulations on guessing right", Wang Yinan nodded, "Go back and reward you with a white rabbit toffee",

"Go aside", Zhou Hui screwed Wang Yinan fiercely, "Why, will a manuscript have such a big impact?" ”。

"Of course, there is, because this manuscript tells us more profoundly that human understanding has its own limitations, and that the complexity of nature far exceeds the extent that our language, symbols, formulas, or formal systems we construct can describe," Wang Yinan said.

"In the face of this situation, I believe that only a few strong-willed people can accept all this calmly",

"More people will feel hesitant, helpless, and denying themselves and science",

"Turning to an omnipresent and omniscient God, then, becomes the only option for the weak",

"People always want to hold on to something they can rely on."

Zhou Hui fell into deep thought, "It seems that this is the case, the theory of quantum mechanics back then, including the existence of quantum entanglement, was not regarded by many people as evidence of the existence of God or gods?"

"The disillusionment of determinism is a wave (Laplace demon cannot exist), and the disillusionment of realism is another wave (the existence of quantum entanglement), and now it is okay, even the expressibility of the natural world must be taken away", Wang Yinan seemed to be saying to Zhou Hui, and as if reminding himself,

"The process of scientific progress is the process by which human beings discover their own humility, and the more they know, the more they prove their insignificance."

"What about you, will you believe in the existence of God because of this?" , Zhou Hui raised her head and asked Wang Yinan curiously,

"Jokes, smart as me, and the unknown author of the article, as well as Professor Tao and other Blue Star's most bullish brains, we realize that the natural world cannot be completely described by formulas, symbols, and language, why does the God who doesn't know where to hide has the ability?" , Wang Yinan is still a stinky fart as always,

"Even the most powerful tool of man, the abstract, logical, formal system, is powerless, and a former mortal described in the Bible can do it?" ，

"Don't tease me, of course, if God has a super neural network, maybe there is a little possibility", Wang Yinan still couldn't help but make a joke, if there is really an omniscient neural network God, forgive our protagonist's ignorance, after all, he is still young, isn't he.

"Pap, pap, pap", at this time, Zhou Hui's side suddenly burst into applause,

Yang Lihan, who was dressed in red, walked over, as if she never changed her clothes. "Very exciting," Yang said.

"I finally understand why the author gave you this manuscript, it looks like you really understand the content of the manuscript",

Wang Yinan told Zhou Hui the origin of the manuscript, and she immediately understood the identity of this woman.

"Who are you?" , Zhou Hui asked,

"Who is the author of the manuscript?"

"Why did you give the manuscript to a man in our family?" ，

Zhou Hui took off the performance of protecting a calf, she pulled Wang Yinan and asked vigilantly. 8)