Su Junyu was writing furiously.
As he wrote, his subjective consciousness seed to separate from the cold logic deep within his heart. As the pen moved across the paper, the temperature of his blood continuously rose. From his heart ca a joyous thumping. The power in his blood, following the beat of his heart, flowed throughout his entire body.
This is...
This feeling...
"So this is what's called 'blood boiling'..."
Su Junyu thought this way.
There are those who study mathematics akin to asceticism, persevering step by step from youth to old age, but never harboring a shred of regret. Chen Youjia's father, Chen Jingyun, was of this type. So say studying mathematics is like living life; it has long been integrated into their thoughts, into their lives. Perhaps their journey isn't as arduous as the first type's ascetic, but without mathematics, it's as if their life is taken away. Masters of Calculation, national chess players, belong to this category. Another category simply finds it interesting.
Su Junyu's approach to studying mathematics was closer to "play"; he studied whatever he found interesting. He liked playing cards, and since card gas involved probability, he studied "probability" for a while, and his skill wasn't low.
And now, he felt that a certain little brother of his had made a breakthrough, making the field of "logic" very interesting.
But this "interesting" actually drove him to make such an achievent.
The so-called "realization" is indeed beyond words.
Endless halos spread and overlapped before his eyes.
That was his "frawork" — all the sets allowed by set theory.
The number of these sets was infinite of infinite. Su Junyu wasn't even sure what order of infinity this should be counted as.
And within this beyond infinite infinity, Su Junyu saw "veins".
Those were the "axioms" that supported the existence of these sets.
In an even greater infinity, he searched for the sizes of two different infinities.
Su Junyu wrote furiously.
His thoughts gradually leapt onto the paper. He wrote faster and smoother. Simultaneously, he also began to feel, the strength in his body growing stronger.
His mana, too, followed his thoughts and consciousness, slowly adjusting itself.
During the process of proving, he felt his body getting lighter... No. It was his spirit flying. His thoughts raced freely across the wilds of infinite sets.
Those sets also grew brighter in his eyes. Eventually, he saw a white light.
Imdiately after, Su Junyu lost consciousness.
When he awoke again, he looked up to see a familiar ceiling.
Sowhat dazed, Su Junyu turned his neck, and a pair of beautiful eyes were right beside him. Xiang Qi stared at Su Junyu with wide eyes, blinked, and after a while, exclaid loudly: "You're actually awake!"
The girl's breath tickled Su Junyu's nose, making him want to sneeze: "You speak as if I was going to sleep forever... What happened?"
Before Xiang Qi could answer, a middle-aged man rushed over, grabbed Su Junyu's shoulders, and shook them vigorously: "Son, let's not talk about life and death! When you collapsed, your father almost died of fright... This damn mathematics!"
Su Junyu felt a bit embarrassed. This sowhat neurotic Void Refining Master was his father, Su Diguang, a Grandmaster of the Wanfa Sect. He coughed twice, glanced at Xiang Qi, and then asked: "Dad, what's going on? I'm this..."
"You suddenly fainted while doing calculations at the training ground. You gave everyone quite a scare." A cold voice sounded. Chen Youjia walked in from outside, saying: "At the ti, I thought you were directly driven to deviation and died from the shock of the new ideas. Only after a Grandmaster from Tianling Ridge checked did we know you were simply ntally exhausted..."
It was precisely because Su Junyu was ntally exhausted and his body rapidly declined that he and several low-level disciples close to him were granted the right to leave the training ground.
"ntally exhausted..." Su Junyu was montarily confused. The kind of contemplation that could exhaust a Golden Core Stage cultivator... A flash of inspiration struck him, then he imdiately jumped out of bed: "Hey hey! Where's my draft paper! Quick, give it to !"
Xiang Qi grabbed him: "Junyu, are you okay... You just collapsed!"
"Just a little bit more..." Su Junyu broke free, his face full of excitent, with what seed like a hint of bloodshot at the corners of his eyes: "This is the First Question! The First Question! Even a Carefree Practitioner has to lant over the First Question!"
Su Diguang pressed down on his son, frowning: "Even if it's the First Question, it has to be... The First Question? Which First Question?"
"The First Question of Xin's 23 Questions."
"What? The First Question? You? Nearly completed it?" Su Diguang was stunned.
This rascal of a kid of his was indeed a bit promising, but since when did he beco this promising?
Also, wasn't he participating in so kind of training camp recently? Why did he suddenly have the idea to tackle the First Question? Was logic one of his strong suits?
While Su Diguang was dazed, Bao Xiaofeng entered with Bao Xiaoya. The Bo family mber was holding a stack of draft papers. He said, "Old Su, your drafts."
"Thank you." Su Junyu received them and quickly reviewed his previous progress, while asking, "No one has seen this, right? This is still my personal idea..."
"No one dared to look," Bao Xiaofeng chuckled bitterly, "What can silently bring down the 'thought' of a Golden Core Cultivator might surely injure a Primordial Spirit Cultivator... The life and mana of a Primordial Spirit Stage are intertwined even more closely, and the consequences could be even more severe."
Su Diguang felt sothing was off. What kind of 'training' could make these prominent genius descendants so on edge?
Several disciples of the Wanfa Sect looked at each other, not knowing how to begin explaining. At this mont, Su Junyu also finished reading his prior proofs, picked up the pen, and began to write the conclusion.
"If the above proof process is correct, then if the existing axioms of set theory are consistent, the continuum is true."
Boom!
Just as Su Junyu finished writing this sentence, a thunderous roar emanated from within his body. His Golden Core was undergoing a transformation. This change was unrelated to heaven and earth, with no visible phenona. Yet, everyone just felt that Su Junyu had gained so kind of strength.
"It seems you've truly had a breakthrough, kid!"
A loud laugh resonated from afar. Bai Ze God Monarch pushed the door open and entered. Su Diguang and Su Junyu imdiately bowed and greeted, "Ancestral Master."
The ancestor of the Su Family was a disciple of Bai Ze God Monarch, making Bai Ze God Monarch their grandmaster in their eyes.
"No need for formalities." Bai Ze God Monarch had a ruddy complexion. He first motioned to Su Junyu with a wave of his hand, then turned to Su Diguang, saying, "The Su family's... I rember you're called Diguang, right? Could you step outside for a mont? I need to talk with young Junyu."
In the eyes of outsiders, Bai Ze God Monarch appeared self-willed and stingy, yet he was exceptionally kindly towards his descendants. Su Diguang hesitated, "But this..."
Bai Ze God Monarch shook his head, "This is also for your own good. The recent theories of the Wanfa Sect are sowhat revolutionary. Listening to them might... might cause trouble."
Only then did Su Diguang realize the seriousness of the matter. He bowed to Bai Ze God Monarch and then walked out.
Once outside, he was genuinely shocked.
There were actually several Carefree Practitioners gathered at his doorstep. And at the very back, strikingly, was the pinnacle Carefree Practitioner, the National Scholar of All Beings, Feng Luoyi.
"What on earth has this kid done...?"
These Carefree Practitioners were usually very busy.
They didn't have ti to specifically wait for Su Junyu to awaken. They only rushed over after just receiving the report. After all, they were all within the Wanfa Sect now. For the Carefree Practitioners, the distance was like it didn't exist.
From the bedroom, there ca the boisterous laughter of Bai Ze God Monarch, "Hahaha, kid, you were so silent before, I didn't expect you to be a thunderous presence now! Late bloor! Late bloor indeed! Compared to your achievent today, all those Dao Seed Award achievents amount to nothing!"
For the Carefree Practitioners, Question 23 may not be an iconic milestone. However, even managing to solve one is still an exceptional achievent.
Su Junyu shook his head, "I've only just roughly settled on the procedure, the specifics still need to be fleshed out slowly..."
"Getting the procedure is already remarkable! Didn't you see those guys from the Genting Sect? Not an inch of progress in nearly a hundred years!" Bai Ze God Monarch was unconcerned, "By the way, what's your conclusion?"
Su Junyu raised his draft paper, "This is it. If the axioms of set theory are consistent, then the continuum hypothesis is true. Actually, within the bounds of set theory, you simply can't refute set theory."
"'If the existing axioms of set theory are consistent, then the continuum is true.'"...
As Bai Ze God Monarch read this sentence aloud, the surrounding atmosphere subtly cooled.
Bai Ze God Monarch was a bit embarrassed, "Um... child, have you considered how to prove the consistency of the axioms of set theory? What if this system is incompatible or inconsistent?"
"Huh?" Su Junyu blinked, "Inconsistent..."
Under the blow of incompleteness, set theory now seed like a sieve, rather vulnerable.
Su Junyu blinked his eyes, "Oh right, didn't soone prove set theory is incomplete... It doesn't necessarily have to be consistent..."
Xiang Qi looked left and right and then hesitantly spoke up, "Uh... since just now I haven't understood anything... so, Su Junyu, this guy, has done pointless work?"
"Not entirely pointless. A few years ago, we proved the consistency of many systems, and we still can. The Incompleteness Theorem simply states that 'completeness and consistency cannot coexist.'" Feng Luoyi stepped out from behind everyone, standing in front of them, "This direction, I think is worth pursuing."
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