Enter the Immortal Cultivation

The oracle machine is something that cannot be constructed. Its properties are closer to "thought experiments", "ideal conditions", etc. in physics, and are things that cannot be reproduced in reality.

An oracle machine for undecidable problems is impossible to construct from the beginning.

This is just using a fantasy concept to speculate on a possible concept to get a real result.

However, this result sounds disappointing.

"Can't even the imaginary Dao Shengyin be able to complete this proof?" Feng Luoyi forced a smile, with a look of disappointment that could not be concealed in his eyes.

Even if you open the most powerful plug-in in human imagination, it is impossible to bypass the boundary drawn by this "self-referential".

Master Turing took a sip of tea and whispered: "I think we may not need to go in this direction anymore..."

"A concept that cannot be explained even by listening to the 'Sacred Sound of the Great Dao'..." Feng Luoyi seemed to be worried about it, and repeated it again.

"Teacher, in fact, it may be that our imagination limits our methods." Wang Qi said: "The idea of ​​Master Turing is indeed as imaginable as possible. However, Master Turing's 'imagination' is still It is deduced based on his 'experience' - it is deduced based on the 'finite' experience. Perhaps, there is really a way in the world that can bypass self-reference, but our thinking is not yet fundamental. Not aware.”

There was a trace of decadence in Feng Luoyi's tone: "Infinite and finite... Once we involve 'arbitrary' or 'infinite', we will be unable to move forward... From the finite to the infinite, is the limit of our understanding? Or should we say, you are the king?" Is that bastard right? There is no infinity in the world?"

In the universe, the quality of matter is finite - otherwise. According to the infinite extension of gravity, the gravity of every point in an infinite universe is infinite.

The total mass is finite, so the number of basic particles in the universe is also finite.

There seems to be nothing in the entire universe that requires infinity to count.

Human beings have never known "infinity". All concepts of "infinity" are actually deduced based on the "finitude" recognized by human beings.

Therefore, there is also a group of mathematicians who strongly demand that the concept of "infinity" be deleted from classics. Infinity is nothing but a "metaphor." A "description". It doesn't really exist in the world.

As for those who study "infinity" problems, they are pure idiots.

Wang Qi shook his head and retorted: "Is there a finite boundary in the real world?" He took out a tea leaf from the cup and asked: "What is the actual circumference of this leaf?" He created another one. Nautical chart: "How long is the coastline of China's western frontier?"

This is the infinity that actually exists.

The edges of the leaves of any plant have serrations. On top of those saw teeth, there are even more subtle saw teeth. Of course, this "subtlety" won't last forever. But really, anything. It will always consist of more basic structures.

The same goes for the length of the coastline.

Like the blades, the coastline is also formed by folding a line without any site.

In the natural realm, there are no standard one-dimensional line segments or standard two-dimensional figures that appear strictly in geometry.

There are more fractal dimensions between one and two dimensions.

This is the "infinity" that actually exists.

Suanjun's approach is too extreme. Abandon the practice of infinity and wait until you learn one thing about calculation.

Feng Luoyi's expression was still a little downcast: "Even if it is true as you said, our cognition limits us, and the possibility of bypassing this limitation is beyond our cognition... What can we do?"

"My life also has a limit, but I know it has no limit. If I have a limit, I will follow the limitless."

After all, human cognition is limited. However, the mystery seems endless. Use your finite life to pursue infinite knowledge. It's very sad in itself.

Especially, when what you are pursuing is outside of your cognition from the beginning, it cannot be known by you from the beginning.

It seemed like it was destined.

For a seeker, there is nothing more tragic than this.

Wang Qi's expression remained unwavering. He has been baptized by relevant logic and philosophy on earth, and his mind has long been extremely determined: "No, teacher, there is no 'unknowable' in this world. There is only 'unconfirmable'."

In this world, there is no "unknowable", only "yet unknown".

This seems to be a direction of the world view, but for Wang Qi, this direction is the foundation of his ambition.

“Yet unknown” means that sooner or later it will become “knowable” or even “known”.

"The occurrence of this situation only shows that our mathematics is still very primitive and still in its infancy. Even the inherent logic of the laws of nature is not fully understood by us. We still have a long way to go."

A trace of curiosity flashed in the eyes of Master Turing: "If you want to open the door, you have to get the key, but the key is at the other end of the door. If you want to get the key, you have to open the door... Even so, do you believe we can break the situation?" "

"There may not be only one door, and there may not be only one key. It's just that our team hasn't finished exploring the 'door' yet, so naturally we can't find the 'key'."

"Sounds more like faith."

Wang Qi smiled and said, "I believe this."

Feng Luoyi's wavering only lasted a short moment. Soon he cleared away all the decadent look in his eyes and returned to his usual calmness: "Yes, I understand...it's just a pity. I originally wanted to find a way to break the situation, and then give hope to him." Sect Master, take a look and ask him not to give up hope..."

Unfortunately, in this field, it seems that the more you discover, the more desperate you become. At the beginning, Wang Qi just drew a vague line and told everyone that outside this line, everything was unpredictable. This time, Turing killed almost all ideas of "cross-border exploration".

There is no road ahead.

Master Turing shook his head: "Mr. Yuehan, there is no need to blame yourself. This is not your fault... If you want to blame, you can only blame me for living up to your trust."

A few months ago, Feng Luoyi entrusted Turing, the most talented person in this field, to find a way to break the situation.

"It's impossible to live up to your trust..." Feng Luoyi said in a calm tone: "The logic is like this, just like the Tao is eternal, it is not for the prosperity of the saints, and it is not for the death of the devil. You just discovered it."

Master Turing asked: "Then now..."

"We can't put it off any longer." Feng Luoyi closed his eyes. "I have been stuck with incompleteness and indecision for almost half a year. Half a year! The current Geting is still being dragged by Lord Ximen towards the path that you rejected. Go...this is absolutely not okay."

"Although it's a bit heartless to say this. But, that's how we are, we can't stop for one person."

"Especially... we now have a new calculator structure to promote. If you two keep your papers with me for one more day, new research in the field of calculators and the Immortal Illusion will be started one day later."

"It's more than that!" Master Turing was not very familiar with Master Ximen, and he didn't have Feng Luoyi's emotions. There was a bit of excitement in his expression: "I still have some vague ideas. I feel that we are about to step out of the twenty-three questions and go to a new field."

Logic and even the basis of people’s cognition. It’s all going to change from now on!

"I understand. I will arrange these things. You can go back first... I still need to plan carefully and need to be alone."

Wang Qi nodded and was about to leave. But Master Turing stopped him: "Little friend, I still have a few ideas that I want to talk to you about. You can go to my place through the Fantasy Land of Ten Thousand Immortals later."

Wang Qi would never refuse to communicate with an accountant of this level. He nodded and left first. Then Master Turing also left by traveling through Xiangyu.

Feng Luoyi sat quietly for a while, then suddenly said: "Since you are here, why don't you show up?"

Suanjun Pang Jialai seemed to have been squeezed out through a small hole using some kind of bone-shrinking technique, and his body shape was extremely awkward. It took a while before his avatar returned to normal. He snorted: "'Step out of the category of twenty-three questions'? That one who likes to cut off his sleeves really dares to say that. I have never entered the category of Lao Shizi's twenty-three questions."

At first, I didn’t know whether it was due to differences in concepts or personal emotions. When Suan Zhu listed the twenty-three questions, he intentionally or unintentionally ignored several areas where Suan Jun made the greatest contribution.

Among those fields, there are also categories such as "topology".

Feng Luoyi did not answer the other party's words, but snorted coldly: "It's not good to listen to the corner. It's unworthy of your demeanor."

"Demeanor is made to show rubbish. I don't think it is necessary." Suanjun seemed to have no intention of denying it: "Besides, I wanted to listen openly, but your illusion wall was too strong, so I had to force my way in. ——I just don’t like your logic, but it’s not that I don’t understand it. This barrier can’t stop me.”

Feng Luoyi was not surprised as to why Suanjun was able to "forcibly" enter here. She didn't ask him how much he had heard, but asked directly: "What do you think?"

"I don't have any special ideas. Originally, I just came to urge you. I asked you to quickly disclose the incompleteness and irrefutableness. Since you have already made a decision, just pretend that I didn't say it." Suanjun Pang Jia Lai has no idea at all. Don't hide your attitude. He doesn't care about the incomplete series of things. He only cares about calculating when something like Xi Baiche will be introduced into the computing world, and "his world" will be clean: "I think you have invested too much in this matter." More, when we recommended you to handle the affairs of China, we didn’t do it just for you to waste Wan Dharma School’s resources to help that idiot Xi Baiche bypass the obstacles of his own selfishness.”

"You don't need to teach me about this matter." Feng Luoyi responded without any anger in his eyes: "The reason why I asked you to come back is just to let you act as a deterrent. As for the specific things, I don't need to Senior, please handle it."

"Ah ha ha ha ha." Suanjun laughed loudly: "Senior...but I don't think so. By the way, I take back the front line, and I don't think you are useless anymore."

"It can be considered that I was inspired by you, and I have made another discovery in arithmetic! Seeing Xi Boche's miserable look, the more I feel that I can't be confused by prejudices, and I can't be confused by established laws. I recently feel , I’m about to have a breakthrough again...I won’t talk anymore, I’ll go back and continue studying.”

After Suanjun left, the small quiet room became silent again. After a while, Feng Luoyi moved his fingers in the air: "Let's get started..."

It begins to count as the end of the heyday of the Lord and the Songting Sect. (To be continued ~^~)