Why has no one ever been worried that someone will prove that "one plus one equals three"?

As far as human logic is concerned, no one can deny the possibility that one plus one equals three. However, no one has ever thought about this.

This bizarre "phenomenon", the more you think about it, the more amazing it feels.

Wang Qi thinks that there may be two kinds of mathematics in the world. One is mathematics that has nothing to do with human beings and objectively exists in the universe. The other is the mathematical system discovered and established by human beings.

The mathematical system discovered by human beings is constantly approaching nature itself.

Therefore, there is no problem that mathematics is included in the "science" system.

The mathematics discovered by human beings is based on nature and is in line with nature, so it can be used to express the laws of physics.

Human beings are not worried about "one plus one equals three", perhaps precisely because they have known the world for tens of thousands, hundreds of thousands of years, and have never felt the objective fact that "one plus one equals three".

"In any case, arithmetic itself transcends human thinking, it is close to the Tao, it is a Taoist thing, and it is with heaven and earth" Wang Qi stood up again and said to Gou Dabao: "We never talk about Xuan, because 'Xuanzhi and Xuan' cannot explain the truth in it." If you want to follow this path to approach the Heavenly Dao, you have to follow it intelligently. ”

With that, Wang Qi turned around and left this secret place.

Consciousness flows along the network of the Ten Thousand Immortals Fantasy Realm and returns to its place. Wang Qi opened his eyes, and then left the calculator.

For some reason, he always felt a little depressed.

"Whew...... I feel a little nervous. Wang Qi kicked the floor, then walked back to his study and picked up a piece of paper. I want to write something. I don't know why. The pen stopped.

Chen Youjia appeared and hugged him gently: "Are you preparing what you want to tell that fairy again?"

"No, papers. Wang Qi felt that his throat was a little astringent.

Chen Youjia noticed that Wang Qi's face was not quite right, and asked, "What's wrong with you?"

She didn't quite understand. No matter what papers Wang Qi wrote before, he rarely got stuck. It is said that the paper he published in that year was also completed in one go, without any stagnation. Such a person will not be able to put pen to paper?

"Naw. Why don't we go for a walk? Maybe we'll be inspired......"

Wang Qi shook his head and looked at Chen Youjia: "It's just a little hesitant." ”

"Hesitation?" Chen Youjia frowned: "What are you hesitating about?"

"I always think it's not authentic...... Forget it, nothing. Wang Qi shook his head: "I was scared by myself." ”

"What?"

"Do something unkind. Wang Qi smiled slightly, and pushed Chen Youjia away: "Okay, okay, don't look here anymore, what I'm going to write next is unusual--very shocking, it's not good to scare Xiao Jiajia!"

"Don't call me Xiao Jiajia!" Chen Youjia was furious: "I still have to see what you are writing." ”

"No, no, no, I can't show you. Wang Qi used his magic power to withdraw Chen Youjia from the door. Then he sealed the doors and windows with a talisman and said in a low voice: "I don't know how many monks will be hurt by this attack and go crazy after seeing it." How can I show you if I don't find someone to try it first?"

Then he picked up his pen and wrote these big words on the paper.

Formally Undecidable Statements and Related Systems in Paper 1 Arithmetic

The title of this paper has a particular kind of aggression. In the eyes of those who understand, it is a sharp knife.

A sharp knife that points directly at the master's fault!

For Wang Qi, the publication of this paper can almost represent the end of the friendly relationship between him and the Geting faction and Feng Luoyi.

No, no, maybe when he said those "truths" to Gou Dabao, he was already breaking with the Geting faction, right?

Even if he is lawless like him, there is a moment of hesitation.

On Earth, academic status is just academic status. But here, academic standing is tied to something more. Some disputes will only be more intense than on Earth.

What he had to face was not a certain authority, but a top-notch school, including the two pinnacles of many carefree figures, who occupied almost half of the Wanfa Sect.

But so what?

After all, the Immortal League is an academic organization, not a religious organization. As long as "that law" is still true in this world, then its position is unshakable!

"It's time to be in this world. Wang Qi took a deep breath: "Gödel's law of incompleteness ......"

Gödel's law of incompleteness, in the world of the earth, shatters all the fantasies of mathematicians and breaks the sanctity of human mathematics.

Mathematicians in the past had such a dream -- "under the premise of ensuring mathematical consistency, if there is mathematical completeness, that is, any mathematical proposition can be proved or falsified." For any mathematical conjecture, no matter how difficult it is, as long as it is timed, through the efforts of generation after generation, it will always be known whether the conjecture is correct or not, and it will be proved or falsified.

In other words, in mathematics, through logic, one is able to know anything, and it's just a matter of time.

Even if that goal is the "Tao", it is the "ultimate".

This is called "we must know, we will know".

But now, the two theories that Wang Qi is about to write will shatter this dream that still exists in China.

We can never prove that a complex set theory rule of more than the first order is self-consistent.

No compatible formal system can prove its own compatibility.

These are Gödel's two laws of incompleteness.

Human logic, in fact, is not self-consistent.

We may never get "there."

Wang Qi knew that the appearance of this paper would cause the entire Ten Thousand Methods Gate to be shaken. Countless monks will fear this theory, even its proposer.

Then, the Geting faction that once shone on Wang Qi's line, its prestige will inevitably plummet.

It's a given.

As for how many people will go mad because their Dao hearts are shaken?

Surely it won't be too little, right?

However, Wang Qi had to write.

Parting ways with the Goting faction was a foregone conclusion for him. And. Both emotionally and intellectually. He really didn't want the lord to go away with a large group of peaks. Fight in a direction that can never be said to be right.

For him, doing so can probably be regarded as liberating the labor force of those powerful monks, so that they can turn their minds in some more correct and more beneficial directions for Shenzhou as a whole, right?

Moreover, the current Wang Qi really needs to be famous.

Data-based revisions have the potential to create a new era. And Wang Qi needs to be famous, better to promote it, to create an era. He wants to be a leader in the new era. For this program. Fame is a must.

In addition, the prestige of the Geting faction actually hindered Wang Qi's plan and the development of arithmetic in Shenzhou.

As early as six or seven years ago, Wang Qi announced the ideas of the Bourbaki school. Now that such a long time has passed, the speech he gave in Fusang should have spread along with the prestige of the Geting faction. However, the life of the Gottingists, in turn, suppressed the growth of the ideas of the Bourbaki school in this world.

-- Because the reckoner doesn't like this idea.

Wang Qi originally borrowed the east wind. Now that the "east wind" has run out, blow it again. Wang Qi will be suppressed instead.

The results of the Bourbaki school are the cornerstone of many of the subsequent physical theories.

So. Wang Qi will either change the Geting faction or knock down the reputation of the Geting faction.

Of course, even without these reasons, Wang Qi would have published this paper.

Because...... He was a seeker.

"It's such a simple thing...... Wang Qi wrote the paper, and the expression on his face gradually changed from a wry smile to a smile.

The first volume of the "Ten Thousand Laws of Calculation" was the fuse for him to publish this theory. With this theory, set theory has been regulated. The turning point in history can come.

And the ideas he taught when he was teaching with that immortal, intentionally or unintentionally...... It can probably be seen as a warning he made to the monks of the Geting faction.

- "Don't be intimidated by me. ”

Now, the time is ripe.

As the paper progressed, Wang Qi's body gradually gave birth to some indescribable changes.

He has completed the Dharma and the Self as one. There is no longer a need for the soul to interfere with the process of mana. All his thoughts were synchronously and truthfully reflected in the exercises.

Long ago, he wrote it silently in order to prevent himself from forgetting this landmark theorem in the history of mathematics. But at that time, he was just writing silently, and he didn't think deeply.

Moreover, at that time, Wang Qi was only in the middle stage of Qi training, which was completely different from the current Dan period.

And so, the mutation began.

In Wang Qi's body, the cycle that was already self-contained and running endlessly suddenly broke down.

- Incomplete.

-- Not self-consistent.

The mana is cut off inch by inch, and the luck is unsustainable. Wang Qi's mana system almost completely collapsed.

The white flame of light flashed on Wang Qi's body. Sensing that the system is out of order and Wang Qi is about to collapse, the flame of life automatically activates in an attempt to save all this. However, the previously invincible Flame of Negative Entropy has also begun to collapse and cannot be generated.

The flame of life is the embodiment of life. Life, on the other hand, is a complex system.

As for complex systems, human beings cannot assert self-consistency.

Three purple rays popped out of Wang Qi's body. This originated from the power of the Ancient Dragon Emperor and Wang Qi, but it was still an independent individual. Now, Wang Qi's mana system is no longer enough to accommodate them.

Crash, crash, crash, crash, crash......

Everything in Wang Qi is in self-destruction.

-- However, the idea that "all axiomatic systems are incomplete" is just a misreading of Gödel's law of incompleteness.

The collapse stopped when it was on the last line.

Then, the ring on Wang Qi's hand, the shoulder armor on his shoulder began to glow.

【Situation B detected】

[Execution, Plan Yin]

It is dangerous for monks to think about things that are not in line with their own practice. Especially for monks who have completed the Dharma and self-righteousness, if there is a conflict between their thoughts and the cultivation of the Fa, if they do not get it right, the entire mana system will collapse and they will die.

Wang Qi's exercises were created by himself, but his foundation was that of his predecessors. It contains concepts that are contrary to incompleteness.

Now that the danger is known, how can Wang Qi not make a plan? )