Exploring Immortality Cultivation-Chapter 907 - 236: Wang Qi’s Ascension (Part 2)

This April will be recorded in history.

The incompleteness theorem and the undecidability theorem, the two theorems that permanently changed the trajectory of mathematical development, were proposed this month.

And the last three days of this April were the darkest and most desperate for the Wanfa Sect in history.

As soon as the concepts of "incompleteness" and "undecidability" appeared, they shook the foundations of the Wanfa Sect.

All the arithmeticians who understood these two concepts fell into deep confusion.

——Does mathematics itself have a boundary? Are we only able to stop before that boundary?

——Can we still reach the truth?

——The harmony of heaven and earth is so natural, can this disharmonious mathematics still explain the harmonious cosmos?

"There has never been a breakthrough that has descended in this form." In the depths of the Wanfa Sect, Mr. Wei Er was worried.

This theory breakthrough, which denied everything without any hope, was not something anyone wished to see.

And amid the clouds of sorrow and despair, gradually, a wave of resistance began to brew.

Some people were unwilling to accept this theorem.

"The Master of Calculation has not spoken yet... this theorem cannot be said to be absolutely correct..."

"Who knows if it's correct or not. What if, as that reckless young guy said himself, his theorem cannot be proven or disproven, huh?"

"The Master of Calculation and the Geting Sect haven't spoken yet, we still have hope!"

"Perhaps our skills are too poor to see the absurdity of this absurd theorem, but the Master of Calculation will surely be able to see it!"

But at this time, there were also people raising objections.

"The National Hand of Fate is also from the Geting Sect... Although not a direct disciple, he is also a member of the Geting Sect. He has contributed to the Master of Calculation's completeness proof."

"The National Hand of Fate also said there's no problem with it..."

"If Senior Feng also endorses it..."

"Nonsense! That Wang Qi is Feng Luoyi's disciple! This relationship is not publicly known, but many in the upper levels of the Wanfa Sect already view it this way!"

"If Mr. Feng were to strongly support his disciple..."

"Hmph, Mr. Feng, after all, is a peak Great Cultivator, why would he go against the Great Dao for his disciple?"

Besides those hoping for statements from supreme arithmeticians, there were other voices.

"This... this incompleteness theorem is not even mathematics!" An elder in the Wanfa Sect gritted his teeth: "The National Hand of Fate with his genius reputation, fooled almost everyone!"

"Incomplete, along with 'A Discussion on the Undecidable Statements in the Arithmetic Chapter of Volume One of 'All Laws Mathematical Collection' and the Related Systems', are not even mathematical statements! They swapped concepts!"

"Three days from now, I will fiercely slap that young kid in the face before everyone to let him know that the divine power of the path of mathematical reasoning is not to be violated!"

"The incomplete proof is not strong enough," according to some arithmeticians, this is indeed the case. Some of their colleagues on Earth have similar countering views.

"Mathematics is consistent," this judgment has only six characters, yet when expressed mathematically, it is almost impossible to commit to paper.

This is also a reason why some arithmeticians could adamantly refuse to acknowledge incompleteness.

Meanwhile, on the other side of the Wanfa Sect, another group was caught in a celebration.

"Dao Transform Natural Numbers! Outside of Natural Numbers, nothing is natural!" A young-looking Grandmaster laughed heartily.

This is a prevalent argument within the extreme faction "Shaoli Sect."

——Natural numbers exist with the Dao; other than that, any mathematical reasoning or mathematical concept borrowed from human craftsmanship is full of artifices and not truly real.

"That Geting Sect Daoist fellow single-handedly buried the entire Geting Sect, truly satisfying!"

"The Master of Calculation should also step down!"

"He has occupied the position for so many years, producing nothing but futile endeavors, it's time for retirement!"

Since the Master of Calculation came to govern the Wanfa Sect, the entire sect gradually leaned towards set theory. The domains excluded from the Twenty-three Questions—where the Shaoli Sect's representative fields like topology reside—saw fewer researchers.

These followers of the Mathematics Lord Pang Jialai naturally felt deeply resentful. Also, the concept of the Master of Calculation that "mathematics is the arrangement of operators" indeed made them uncomfortable.

They are the most fervent unionists. In their view, within the arithmetic domain, only natural numbers have the meaning of "Daoist Natural Law." Any other concept is created using "Human Method Dao."

The collapse of set theory to them does not equate to the collapse of mathematical foundations but rather "a man-made system being falsified."

Anyway, natural numbers are always self-existing. What does incompleteness in set theory and logic have to do with them?

In this crisis, the followers of these Mathematics Lords are probably the only ones who can laugh out loud.

Three days of time passed in the blink of an eye.

For the cultivators of the Wanfa Sect, these three days were definitely the most torturous. Most people tossed and turned, unable to enter meditation.

And today is the day Wang Qi is to publicly give his teachings.

Almost all Wanfa Sect cultivators held calculators, waiting an hour early.

At the entrance of Geting House, several Carefree and half-step Carefree gathered, whispering about something,

"No matter what you say, I'm going to question that kid until he's speechless. Even if he's Senior Feng's disciple, it doesn't matter." One cultivator, with bloodshot eyes, said to the people around him.

"Yes... Trying to step on us the Genting Sect to rise up, it's not that easy!"

No matter how much Wang Qi himself respects the Master of Calculation, his paper "On the Formally Undecidable Statements in Volume One of <All Laws Mathematical Collection> Arithmetic Chapter and Related Systems" is attacking the <All Laws Mathematical Collection> which embodies the wisdom and effort of the Genting Sect. This undoubtedly angered many cultivators of the Genting Sect.

On the other hand, Wang Qi is Feng Luoyi's student. And Feng Luoyi's "betrayal" a few days ago also left them simmering with rage.

This unprovoked anger naturally would be directed at Wang Qi!

"What questions have you prepared? Let's be clear, using 'not mathematics' as a reason is not valid," Ai Kemeng said sternly. "In the past, the Shaoli Sect used this reason to attack our Genting Sect. If we use it against Wang Qi again, we'll become complete jokes."

"Don't worry, Brother Ai, that young man, with just two papers, how can we not find faults?" Another cultivator said confidently.

He Wai'er stood at a distance, looking at these fellow peers, silent, his face somewhat displeased.

He was once thought to be the next-generation leader of the Genting Sect, and one of the highest achievers among his peers. However, his views lean towards the Lianzong, gradually alienating him from these peers. He also didn't contribute much to the compilation of <All Laws Mathematical Collection>.

At this time, it was naturally inconvenient for him to interject into the discussion of his peers.

"Four-Sided" Madern noticed He Waier's emotions, and sent a secret message: "Brother He, what's wrong?"

"We need to find a way to put out their idea of making trouble." He Wai'er also replied with a secret message: "Are they planning to throw away Genting Sect's last bit of dignity?"

Madern did not reply. However, He Wai'er became emotional: "Those two papers were from Wang Qi half a year ago. In half a year, he himself, Daoist Fellow Feng, and Master Turing have been delving deeper, continuing their research! These three, whichever one, are geniuses of unparalleled talents. How much progress could they not make in half a year?"

He Waier was also unaware that unconsciously, he had already considered Wang Qi to be at the level of a mathematician like Master Turing.

"Say no more. If you've seen the debates between Wang Qi and Master Turing these past two days, you'll understand that what they came up with in these three days was something others already discussed!"

"The paper is indeed unlikely to be flawless. But would the issues they discovered in three days really be something Feng Luoyi, Master Turing, and Wang Qi couldn't see in half a year?"

"Don't forget, this domain is their home court now!"

Madern was silent for a moment, then said, "If not for this... Our Genting, fearing that it will really fall apart..."

"Back then, when 'Cloud Prince' Senior Ke Lanyin's Dao Heart was shattered by the Mathematics Lord, people said the same. Did Genting die?" He Waier's face was cold: "Our Genting Sect, handed down from the era of Calculation King Gao Si, the beginning of the Modern, has persisted until now. Is it really because of this or that mathematician?"

"What we rely on is arithmetic itself!"

"So, what do you think we should do?" Fairy Ruoche, who was most sensitive to the 'Spirit Energy Field,' detected the conversation between these two and joined the conversation: "Are we just going to do nothing?"

"Being generous has no downside." He Wai'er closed his eyes: "Genting's glory started from Calculation King Gao Si, and his initial rise was supported and guided by Bai Ze God Monarch. Why not emulate our predecessors and assist others to succeed? If Wang Qi wants fame, we give it to him."

"Fame..." Fairy Ruoche held her breath: "You still hope for a 'second time' for such actions stepping on our Genting Sect?"

Yes, the second time. The so-called "first time" was when the Mathematics Lord shattered Cloud Prince's Dao Heart, achieving unrivaled fame.

"Wang Qi's true intent is not to suppress Genting. I've seen him. He is a seeker of the Dao, and his heart couldn't be in this." He Wai'er said, "What he seeks must be something higher — like a rebirth of mathematics."

"Now, his voice is light and of little weight, so naturally, what he says doesn't hold. He can't gather thousands of mathematicians to accompany him. So he needs Genting Sect's reputation."

"Since he wants it, why not let him borrow it?"

"Borrow?" Ai Ruoche sharply caught the word.

"Don't you have confidence in yourself?" He Wai'er's eyes suddenly burned with fighting spirit: "Although none of us are like Feng Luoyi or Wang Qi, reaching the peak in our youth, we were once famous geniuses!"

"What he seeks is the reconstruction and rebirth of mathematics, so we have a chance to rise to a higher level in this rebirth! By that time, would you still worry about Genting's downfall?"

Fairy Ruoche fell silent.

Back then, the Master of Calculation was able to stand against the Mathematics Lord even when Cloud Prince Ke Lanyin's Dao Heart was utterly lost.

In this crisis, can't their descendants achieve the same?