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

In terms of human logic, no one can deny the possibility that one plus one equals three. However, no one has ever considered this.

This strange "phenomenon" becomes more fascinating the more you think about it.

Wang Qi thought that perhaps there exist two kinds of mathematics in the world. One kind is unrelated to humans, an objective existence within the universe. The other kind is the mathematical system that humans have discovered and established.

The mathematical system discovered by humans is constantly approaching nature itself.

Thus, incorporating mathematics into the "science" system is completely appropriate.

Moreover, the mathematics discovered by humans is learned from nature, aligns with nature, and thus precisely can be used to express the laws at the physical layer.

Humans are not worried about "one plus one equals three," perhaps because they have never experienced the objective fact of "one plus one equals three" in the tens of thousands of years they've known the world.

"In any case, mathematics itself transcends human thought. It is close to the Dao, a Daoist entity, existing with Heaven and Earth," Wang Qi stood up once again, and said to Gou Dabao: "We never talk about the mystical, because 'mystical beyond mystical' cannot explain its principles. If you want to approach the Heavenly Dao by this path, you must follow its own way."

After speaking, Wang Qi turned around and left this secret land.

His consciousness flowed back through the network of the Ten Thousand Immortals Illusion Realm. Wang Qi opened his eyes, then left the calculator.

For some reason, he always felt a bit oppressed.

"Whew... it really feels a bit tense." Wang Qi kicked the floor, then walked back to his study, picked up a piece of paper, wanting to write something, but for some reason, the pen stopped.

Chen Youjia appeared and gently hugged him: "Are you preparing the things you're going to talk to that Banished Immortal about again?"

"No, it's a paper." Wang Qi felt a bit of hoarseness in his throat.

Chen Youjia noticed Wang Qi's complexion was off and asked: "What's wrong with you? Can't think of anything?"

She couldn't quite understand. Previously, no matter what paper Wang Qi wrote, he rarely hesitated. It was said that when he published the paper on the Completeness Law back then, it was written all at once, without any hesitation. How could someone like this be unable to write?

"Hey, should we go out for a walk? Maybe you'll get some inspiration..."

Wang Qi shook his head, looking at Chen Youjia: "Just a bit hesitating."

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

"Just feel this is not quite right... never mind." Wang Qi shook his head: "Scared myself."

"What?"

"Doing something a bit unfair." Wang Qi smiled slightly and pushed Chen Youjia away: "Alright, alright, stop looking here, what I'm going to write later is extremely—extremely shocking, it'll scare you, little Jiajia!"

"Don't call me little Jiajia!" Chen Youjia angrily shouted: "I have to see what you're writing."

"No, no, absolutely can't let you see." Wang Qi used mana to push Chen Youjia out of the room, then sealed the doors and windows with a talisman, whispered: "I don't even know how many cultivators will deviate after reading it. I have to find someone to test it first, how can I let you see it?"

Then, he picked up the pen and wrote these large words on the paper—

"An Attempt to Discuss the Formally Undecidable Statements in Volume One of 'All Laws Mathematical Collection' Arithmetic Chapter and Related Systems"

The title of this paper carries a special aggressiveness. To those who understand, it is a sharp knife.

A knife that directly points out the flaws of the Master of Calculation!

For Wang Qi, the publication of this paper almost represents the end of his friendly relations with the Genting Sect and Feng Luoyi.

No, no, maybe when he said those "principles" to Gou Dabao, he had already broken with the Genting Sect?

Even someone as irreverent as him had a moment of hesitation.

On Earth, academic status is just an academic status. But here, academic status is linked with many more things. Some disputes are only more intense than on Earth.

What he faces is not a single authority, but a top school, many Carefree cultivators including two of the topmost, almost occupying half the Wanfa Sect.

However, so what?

The Immortal Alliance is ultimately an academic organization, not a religious one. As long as "that law" is established in this world, its status is unshakable!

"It should also appear in this world." Wang Qi took a deep breath: "Gödel's Incompleteness Theorem..."

Gödel's Incompleteness Theorem, in that world on Earth, shattered all mathematicians' fantasies and broke the sanctity of human mathematics.

Once upon a time, mathematicians had such a dream—"Assuming the consistency of mathematics is guaranteed, if there is also mathematical completeness, that means any mathematical proposition can be proven or disproven". For any mathematical conjecture, no matter how difficult it is, given time and through the efforts of successive generations, we can always know whether the conjecture is correct and prove or disprove it.

In other words, in mathematics, through logic, people can know anything, it is just a matter of time.

Even if that goal is the "Dao", is the "Ultimate".

This is the so-called "we must know, we shall know".

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

We can never prove that a rule of set theory beyond the first order and complex is consistent.

Any compatible formal system cannot confirm its own compatibility.

These are Gödel's two incompleteness theorems.

Human logic is, in reality, inconsistent.

We may never reach "there."

Wang Qi knew that the emergence of this research paper would cause the entire Wanfa Sect to destabilize. Countless cultivators would fear this theory, and even its proposer.

Then, the reputation of the Genting Sect, which once cared for Wang Qi's lineage, would inevitably plummet.

This was inevitable.

As for how many people would have their Dao Heart shaken and experience deviation?

Presumably, not a small number, right?

However, Wang Qi must write.

Parting ways with the Genting Sect was something long destined for him. Moreover, both emotionally and rationally, he genuinely didn't want the Master of Calculation to lead a large group of peak Carefree cultivators in a direction that absolutely couldn't be called right.

For him, doing this might be seen as liberating those powerful cultivators, allowing them to focus their thoughts on directions that are more correct and more beneficial to the entirety of Shenzhou, right?

Moreover, the current Wang Qi does indeed need fame.

The dataized cultivation method holds the potential to inaugurate a new era. Wang Qi needs fame to promote it better and to inaugurate the era. He wants to be the leader of the new era. For this plan, fame is necessary.

Additionally, the formidable reputation of the Genting Sect has actually been obstructing Wang Qi's plan and the development of mathematics in Shenzhou.

Wang Qi had already revealed the ideas of the Bourbaki School six or seven years ago. Now, such a long period has passed, and the lecture he gave in Fusang should have spread via the reputation of the Genting Sect. However, the existence of the Genting Sect has, conversely, suppressed the growth of Bourbaki School's ideas in this realm.

—Because the Master of Calculation doesn't like these ideas.

Wang Qi initially borrowed the favorable wind. Now that the "favorable wind" has been used up, any further advancement would result in Wang Qi being suppressed instead.

And the achievements of the Bourbaki School are the cornerstone of many later physical theories.

Therefore, Wang Qi must either change the Genting Sect or bring down its reputation.

Of course, even without these reasons, Wang Qi would still publish this research paper.

Because... he is a Seeking Dao Seeker.

"It's just that simple..." Wang Qi's expression shifted from a bitter smile to a smile as he wrote the paper.

This Volume One of the "All Laws Mathematical Collection" is the trigger for him to publish this theory. With this theory, Set Theory is now standardized. A historical turning point can be reached.

And the ideas he inadvertently or intentionally imparted during lectures with the Banished Immortal... could perhaps be seen as warnings for those cultivators in the Genting Sect, right?

—"Don't be scared by me."

Now, the time is ripe.

As the paper progressed, an indescribable change gradually emerged in Wang Qi.

He had already achieved the Unity of Magic and Self. There was no longer a need for the soul to interfere in the process of mana. All his thoughts were synchronously and truthfully reflected in his cultivation technique.

Long ago, to prevent himself from forgetting this milestone theorem in the history of mathematics, he had memorized it. But at that time, he was merely memorizing, without deep thought.

And back then, Wang Qi was only at the Mid-Stage Qi Refining, incomparable to his current Core Formation Stage.

Thus, the mutation began.

Inside Wang Qi, the originally self-contained cycle that operated ceaselessly suddenly broke.

—Incomplete.

—Inconsistent.

Mana was severed inch by inch, and cultivation became difficult to continue. Wang Qi's mana system nearly entirely collapsed.

A white flame flickered on Wang Qi's body. Sensing the system's disorder and Wang Qi heading towards collapse, the Life Flame automatically activated, trying to save it all. However, the previously unstoppable Flame of Negative Entropy also began to collapse, unable to form.

The Life Flame is the manifestation of life. And life is inherently a complex system.

Whatever the complexity of a system, humans cannot assert its consistency.

Three strands of purple light shot out from within Wang Qi. They were power from the Ancient Dragon Emperor that had merged with Wang Qi but remained as independent entities. Now, Wang Qi's mana system could no longer contain them.

Collapse, collapse, collapse, collapse, collapse...

Everything about Wang Qi was self-destructing.

—But the idea that "all axiomatic systems are incomplete" is merely a misinterpretation of Godel's Incompleteness Theorem by the general populace.

Collapse halted at the very last moment.

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

[Status Beta detected]

[Executing, Plan C]

For a cultivator, contemplating matters that don't align with one's cultivation method is very dangerous. Especially for cultivators who have achieved the Unity of Magic and Self, if there's a conflict between thought and the cultivation method, it can lead to a complete collapse of the mana system, resulting in death and the dispersion of the Dao.

Wang Qi's cultivation technique was self-created, but its foundation was based on predecessors. It contained concepts that contradicted incompleteness.

Since he was already aware of the danger, how could Wang Qi not prepare countermeasures?