"I think everyone knows by now, we're in trouble this ti." In the Geting House, the current leader of the Genting Sect, Master of Calculation Xi Baiche, paced back and forth with his hands behind his back in front of the gathering cultivators.
Geting House is neither the largest nor the oldest study hall of the Wanfa Sect, but it is undoubtedly the most renowned. Since the ti of the Calculation King Gao Si, to the current Master of Calculation, this study hall has changed hands five or six tis. Among its five or six generations of masters, four can be considered unparalleled in their ti.
The previous master, Ke Lanyin, ended up as a supporting role facing the Calculation Lord, who was unmatched in contemporary tis, unexpectedly so. Before the Calculation Lord, no one anticipated the ergence of such a prodigy.
Under the Geting Master's disciples, as well as so cultivators who frequently visited Geting House, naturally, they could be classified as "Genting Sect."
The Genting Sect has always been a loose faction rather than an organized entity. It is simply a na ford by like-minded arithticians gathering for discussion.
However, the leader of the Genting Sect naturally possesses a certain authority.
Master of Calculation Xi Baiche looked at Feng Luoyi, who attended in an illusion form, with a hidden, indescribable expression in his eyes: "This ti, the Calculation Lord cos aggressively, perhaps well-prepared. Maybe we need to exert more effort."
"Yes, teacher." The Carefree Practitioners bowed their heads, responding to the Master's request.
Feng Luoyi nodded expressionlessly.
The current cultivators of the Genting Sect are either disciples of the Master or have been guided by him, sharing a unique bond with him, mostly obedient to his words.
However, among these cultivators, half displayed a hint of hesitation on their faces.
Fairy Ruoche, Madern, and other cultivators no longer dared to speak to the Master of Calculation. They feared that their wise teacher might see through the undercurrents behind this storm from their speech and expressions.
That would not do, absolutely not!
The closer the disciples were to Xi Baiche, the more they understood the importance of determinacy and completeness in their teacher's heart. It was the belief of this pinnacle Great Cultivator, the most fundantal aspect of his Dao Heart.
However, this ti, the teacher summoned all Genting Sect cultivators, clearly stating that even if they couldn't co, they must try to attend through the Ten Thousand Immortals Illusion Realm. Not coming today would an they were explicitly indicating their wish to leave the teacher.
They had to co, they dared not not co.
At this mont, they heard the Master's next words: "Recently, among us, there seem to be so who, eager to achieve quickly, have turned to other thods to conduct completeness proofs of the axiomatic system. I think this is a very bad phenonon."
The few cultivators, hearing this veiled criticism, felt a tightness in their hearts,
— Until now, the teacher still hasn't realized...
"Of course, the vastness of the mathematics domain, I dare not say I'm certainly correct, nor do I want to restrict everyone's thinking. However you wish to think, that is your freedom. I just wish to say a few words. First, we are walking the grand path..."
Xi Baiche is not like Feng Luoyi, an extremist. He understands worldly affairs, naturally sensing that so of his disciples seem off.
The Wanfa Sect's public opinion, even the academic environnt, is silently changing. Even beside Xi Baiche, so discordant thoughts have erged.
The Calculation Lord is simply too powerful, powerful enough that his every word and action can change the direction of the entire mathematics domain.
This ti, he hasn't even appeared, just spoken, causing the Wanfa Sect to be on high alert.
Xi Baiche is forced to retaliate. This first volu of the All Laws Mathematical Collection was sothing he wasn't entirely satisfied with, and he urgently needed a victory to prove his standardized set operation's approach.
But now, among his disciples, sothing like this happens. Nearly half of the students have abandoned their original thoughts, resorting to so "clever" thods to complete the axiomatization and completeness proof of the mathematics system!
Those works are rely minor details. The current priority is to prove the completeness of multi-level logic after the completeness of first-order logic!
Completeness! This is the convincing proof needed for the mathematics to Great Dao, the foundation of the Wanfa Sect's seeking of the Dao path.
He must point this out to those fellow cultivators of the Genting Sect.
Especially to Feng Luoyi.
Xi Baiche's talent is not particularly remarkable. Others' evaluations of him are mostly "material that can be molded" and "one who makes up for clumsiness with diligence." For this old friend whose talent far exceeds his own, but whose research direction is capricious and unstructured, Xi Baiche has always hoped to guide him onto the right path.
Unfortunately, throughout the eting, Feng Luoyi's expressionless deanor made it impossible to discern what he was thinking.
After the eting, Xi Baiche specifically asked Aike Man and a few other cultivators proficient in mathematical logic to stay. He said: "The current situation is not optimistic. The Calculation Lord says my theory has flaws, and there is a high chance he is not speaking nonsense. This ti, I intend to thoroughly review my theory. You stay, and let's discuss this chapter first..."
Seeing his teacher like this, Ai Keng couldn't help but ask: "Teacher, do you feel there might be problems in the direction we are advancing?"
Xi Baiche pondered for a mont and said, "Perhaps there is a bit. When compiling the All Laws Mathematical Collection, I also felt resistance... However, at least the completeness of mathematics is indisputable. Can you imagine incomplete mathematics?"
Ai Keng closed his eyes in pain, trying to suppress the worries in his heart so that they wouldn't show on his face.
Of course, I can't imagine incomplete mathematics. No arithtician starting from known mathematical domains can see it.
The existing system is still within the scope of completeness.
However, this does not an this "incompleteness" doesn't exist.
The incompleteness of mathematics is beyond our sight!
.......................................
Wanfa Sect, within the training ground.
"Brother, how do I solve this?" Bao Xiaoya approached Bao Xiaofeng, whispering.
"Oh, here. The approach is sowhat unique..." Bao Xiaofeng explained the mathematical question pointed out by Bao Xiaoya in a low voice.
After solving the problem, Bao Xiaoya lay her head on the table in frustration: "I never thought that learning mathematics could be so painful... I really don't like this field..."
She was forcibly brought into the sect. Among the low-level disciples, few could understand this domain.
" too... it's boring." Bao Xiaofeng shook his head and then turned to look at Su Junyu.
At this mont, Su Junyu was neither solving problems nor researching anything. He was just holding a notebook and reading. It was sowhat strange, as the handwriting on the notebook wasn't his.
"What is this?"
"Sothing a junior brother wrote outside... Oh, it's Wang Qi."
"Wang Qi?" Bao Xiaofeng was a bit surprised: "Why are you reading his notes? Did he achieve sothing remarkable again? Or are you collaborating with him?"
"Neither." Su Junyu handed over his notebook and said, "Take a look for yourself."
"Don't bla when I implent the good ideas from what I read before they are published," Bao Xiaofeng said, full of curiosity. He opened the notebook and began to read. Bao Xiaoya leaned in too. Yet soon, the siblings were disappointed.
"This notebook is completely at the beginner's level... but just researched a bit deeper," Bao Xiaoya pouted, sowhat dissatisfied: "Senior Brother Wang is wasting his talent on this... this topic?"
This notebook was prepared by Wang Qi before lecturing the Banished Immortal Gou Dabao. Previously, when Su Junyu collaborated with him on promoting the Dataized Cultivation thod, he had shared this notebook with Su Junyu.
"But at least from this notebook, we can see Wang Qi's thoughts," said Su Junyu in a low voice. "I can see that he is not on the sa path as the Master of Calculation."
Bao Xiaofeng laughed: "What are you saying... now the person behind that kid is from the Genting Sect! He now counts as being under the tutelage of the Longevity Sovereign, as a non-formal disciple."
The Bo Family, with three generations of eleven Carefree Practitioners and nurous Grandmasters, is a truly prominent family, deeply rooted and with extensive connections. As one of the most promising younger mbers of the Bo Family, Bao Xiaofeng knows many things that others find difficult to know.
ntioning this made Bao Xiaoya sowhat angry: "Senior Brother has such remarkable talent and wit, setting an example for all of us, but because of Master Chen's prohibition, he can't return to the sect, and even though a Carefree Great Cultivator favors him, he can't be formally taken as a disciple... It's so unfair!"
"Enough, don't go off-topic," Bao Xiaofeng restrained his sister and continued to ask Su Junyu, "Anyway, what are Wang Qi's thoughts?"
"First, I'll ask, what are the thoughts of the Master of Calculation, which you should know, right?"
Bao Xiaofeng nodded: "I understand... In the eyes of the Master of Calculation, mathematics itself is just a product of operator accumulation without any aning. The way of accumulating—one may call it 'form'—is the body of mathematics. Single operators hold no aning. Precisely because operators themselves have no aning, they can represent any aning—even including Dao. Like a talisman, each stroke individually holds no significance, but when combined, they beco what we call a talisman and carry the significance of a spell. Hmm... speaking from my personal view, that manner... is really uninteresting."
"On this point, Wang Qi's perspective is in direct opposition to that of the Master of Calculation," Su Junyu picked up Wang Qi's notebook and said, "According to Wang Qi's view, even the simplest number transcends our mortal intuitive thinking and is the transformation of the Great Dao, not from human concepts, knowing and existing with Heaven and Earth. The so-called operators are the result of 'not knowing its na and forcing it to be called Dao.' Simply put, the concept of 'one' is extrely complex, yet we only use a single stroke to represent it..."
Bao Xiaofeng's eyes were full of astonishnt: "No way... this thought absolutely belongs to Mathematics Lord's faction. The genius boy supported fully by Li Sect is fundantally a sectless person? How can he join Genting?"
"The direct disciple of the Master of Calculation, Senior He Wai'er, is also a sectless Cultivator! His relationship with the Master of Calculation is even closer than Wang Qi's with the Master of Calculation." Su Junyu retrieved the notebook and fell back into contemplation: "However, since Wang Qi is willing to apprentice under the Longevity Sovereign, it shows that his thoughts sowhat align with those of Genting Sect... Where is this alignnt, exactly..."
Bao Xiaofeng was sowhat puzzled: "Why are you suddenly concerned with Wang Qi's thoughts? Are you two that close?"
Su Junyu looked around and then transmitted his voice secretly: "Listen, I have reliable information... This training session is closely related to that major collapse. And a few minutes before the collapse of the Ten Thousand Immortals Illusion Realm, Wang Qi claid to have written a disruptive thesis!"
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