Wang Qi was not at all surprised to see Sage Turing be the first to stand up.

Because, on Earth, the scholar who wrote "On Computable Numbers, with an Application to the Entscheidungsproblem" was named Alan Turing—Sage Turing's equivalent.

Wang Qi believed that even if he did not publish this paper, this Carefree Practitioner would publish a similar one in three to five years.

Of course, Wang Qi did not consider this to be plagiarism—it was in fact difficult to define such a situation. Although the histories of the two worlds had certain similarities, Sage Turing was, after all, not that Alan Turing. In this world's history, Sage Turing did not burst forth with inspiration to resolve the decidability problem.

Moreover, in his previous life as a physicist, Wang Qi wasn't bored enough to memorize the undecidability paper. That paper was independently derived by Wang Qi, and most of it was Wang Qi's original content.

But even so, Wang Qi still respectfully bowed to Sage Turing: "I dare not take credit. Without me, Sage, within three to five years, you could have also discovered this principle.

Turing waved his hand: "That might not be the case. I indeed have some ideas in this area, but my nature is rather laid-back: either spending time in the Ten Thousand Immortals Illusion Realm or wandering in Fusang. In terms of focus, I'm not as diligent as many Daoist fellows. For me, you've saved me years of effort! Moreover, the undecidability aspect allows many logical problems in the Ten Thousand Immortals Illusion Realm to be bypassed. Give me a year... no, at most half a year, and I can upgrade the Ten Thousand Immortals Illusion Realm once more!"

The calculator is always based on logic.

Incompleteness and undecidability are major breakthroughs in the domain of mathematical logic.

How could such breakthroughs not drive the development of calculators?

And what does the development of calculators mean? A comprehensive upgrade of the Ten Thousand Immortals Illusion Realm!

The Ten Thousand Immortals Illusion Realm is currently one of the Immortal Alliance's greatest supports. It can be said that if the Great Immortal Alliance operates smoothly, it owes much to the Ten Thousand Immortals Illusion Realm.

One could say that this is definitely one of the most practically significant theories of recent decades.

It might even herald a new era!

Mathematics Lord looked somewhat rueful. He felt he had just claimed that Wang Qi's theory was useless, and now everyone here was loudly praising it, which was not giving him any face. However, he was also quite interested in calculators. Since no one here dared to laugh at his lack of shame, he simply bypassed the crowd to discuss with Sage Turing directly.

He did not misunderstand Set Theory, just opposed using it as the foundation of mathematics, disliking turning Set Theory into a word game. He was still fond of calculators.

More people, however, directed their gaze to Wang Qi.

"Clap, clap, clap."

After the first applause, then came the second, then the third... more and more Carefree Practitioners began to applaud. The scattered applause gradually merged into a continuous sound.

As Feng Luoyi said, whether they admitted it or not, the history of mathematics had turned a new page.

Just as their will could not decide whether the sun rises in the east.

Mathematics has entered a new era.

An era akin to the Mysterious Path in the field of physics.

Amidst the applause from many Carefree Practitioners, Wang Qi returned to his seat. At this time, he heard Feng Luoyi's voice transmission.

"Well done."

Apart from this, there were no other words. Feng Luoyi indeed was not very good with words.

Wang Qi nodded, gripping his slightly trembling hand.

At this moment, he was too excited to speak.

The conclusion of the paper was indeed not his. But the process was independently achieved by Wang Qi, and the inspiration was also his own. How should he put it? This paper was not his biological child, but it should at least be considered an adopted one?

Although he already knew about the historical position of the undecidability theorem, did he have any reason not to be excited?

Even just for the "witness," it was worth a three-day song of triumph!

"I did not expect you to achieve this step. The second question, the tenth question… now no one in the Wanfa Sect doubts your ability to break the Heavenly Barrier. The Nirvana Tribulation is likely not too difficult for you either. Now, everyone is speculating on how long it will take for you to achieve the Carefree status."

"Teacher you flatter me..."

"This is not praise." Feng Luoyi shook his head and smiled: "After this little meeting, you will be the undisputed top authority in mathematical logic. Among your peers, no one will be stronger than you. Even among 'seniors,' there won't be many who can claim superiority before you—of course, this is not a reason for you to scorn your seniors!"

"Yes." Wang Qi nodded, still a bit dizzy.

"In the future, whatever plans you have, just openly submit the project proposals. As long as it doesn't go against fundamental principles, the Immortal Alliance will support you. Whatever you want to do, just go ahead and do it!"

This sentence brought Wang Qi back to reality. His eyes lit up—after all this talk, there was finally something substantial.

"So... about the ban on Tianling Ridge, can we..."

"That's absolutely impossible," Feng Luoyi immediately rejected. "Don't even think about it."

Wang Qi's face instantly fell. "I thought you just said you supported it..."

"This is no trivial matter. You have merely received recognition from our Wanfa Sect, but matters concerning that area are still primarily under the jurisdiction of Tianling Ridge." Feng Luoyi coughed slightly. "However, you needn't worry about the cultivation method. As long as you follow the proper procedures, there will be people to help you promote the cultivation method. The Immortal Alliance will also establish special project groups for research."

Wang Qi let out a long sigh of relief. The digitalization of the cultivation method was crucial to his path of the Primordial Spirit. With the dimension aspect, Wang Qi could not afford to be unconcerned.

And since the digitalization of cultivation was a path Wang Qi had pioneered himself, plenty of experiments were unavoidable as this method was further perfected.

What Feng Luoyi had just said effectively dispelled Wang Qi's concerns.

"Very well, if there's nothing else, you may leave now." Feng Luoyi realized that the meeting had long gone off topic.

They were here to discuss how to safeguard the life of the Master of Calculation, not listen to Wang Qi's presentation.

But now... it seemed like the Master of Calculation's life was in even greater danger.

If Wang Qi's incompleteness theorem was like giving the Master of Calculation a dose of Crane Red, then undecidability was akin to adding two more pounds of arsenic. The grand plans proposed by the Master of Calculation in his early days, the ideals for which he had struggled half his life, had been thoroughly dismantled by Wang Qi's two mathematical reasonings.

Thinking of this, Feng Luoyi felt his headache intensify.

However, they were all mathematicians after all. Faced with such fundamental truths, how could they not listen?

Thinking of this, he added with a wry smile, "Today's matters must be kept confidential, not to be mentioned to anyone, until I grant permission. Understood?"

Wang Qi nodded, looking sincere.

For some reason, this made Feng Luoyi even more uneasy.

Wang Qi was unaware of Feng Luoyi's thoughts at this moment. He stood up, politely excused himself from his predecessors, and left this illusion realm.

The discussions within the illusion realm remained intense. Even the most core carefree practitioners and staunchest supporters of the Master of Calculation from the Geting faction had joined in.

Nobody wanted to be left behind.

Noticing this general change, Feng Luoyi smiled.

——After all, it wasn't without benefit for Wang Qi to introduce "undecidability" at this moment. At the very least, it completely obliterated the persistence of those carefree great cultivators from the Geting faction, shattering the mindset they had relied on for decades, if not centuries, and allowing them to truly break through this time.

Without the "Undecidability Theorem," those carefree cultivators might still cling desperately to the "proof of decidability" as a final straw, hoping to find something that contradicts incompleteness, to rebut Wang Qi.

Of course, this was merely a possibility. Geniuses like Feng Luoyi and Master Turing, who had long overcome the constraints of past knowledge, could vaguely foresee the results of the proof of decidability. If Wang Qi hadn't presented the Undecidability Theorem today, they would have had a chance to achieve it themselves in due time.

But the "struggles" of these carefree cultivators would only be a hassle for Feng Luoyi, making it difficult to implement many things, and might even allow the Master of Calculation to catch on.

Now Wang Qi left them no thought to cling to, just right.

Thinking of this, Feng Luoyi spoke up to stop the many carefree cultivators' discussions, saying, "Everyone, let's pause. It's better if we return to our main topic."

Aside from the Mathematics Lord, the carefree cultivators all naturally ceased their discussions. Originally, the Mathematics Lord Pang Jialai didn't pay heed to Feng Luoyi's words. But since Master Turing, who was discussing with him, had already stopped, he couldn't continue alone, so he had to yield.

Feng Luoyi looked around, speaking solemnly, "Now, does anyone have any questions regarding the principles of incompleteness and undecidability?"

Even someone as ideologically radical as Ai Kemeng from the Li Sect shook his head and said, "A genius beyond compare, I acknowledge."

"Then, does anyone have any more objections to the suggestions I previously put forth?"

Feng Luoyi's original suggestion was to gradually change the entire mindset of the Geting faction through these core cultivators, creating an environment of thought to guide the Master of Calculation in a certain direction.

This "environment of thought" was ideally for all carefree practitioners in the Geting faction to follow the path Wang Qi had outlined a few years ago, using methods akin to transfinite induction to prove the completeness of some axiomatic systems, thereby giving the Master of Calculation hope, showing him that even within a mathematically incomplete system, there are still completions to be found.

This approach would be less shocking to him.

Originally, Feng Luoyi was worried that those cultivators from the Geting faction were too unruly and unwilling to accept this line of thinking. However, Wang Qi's second paper alleviated such concerns.

"After discussing the Master's matters, let's now talk about the affairs of the Immortal Alliance," Feng Luoyi suddenly shifted the conversation after settling the issues of incompleteness and undecidability. "Everyone, the fifty-third Banished Immortal has been confirmed."