Enter the Immortal Cultivation

Su Junyu's impression of the "next step" was also vague.

He really didn't like the inner model very much, but it seemed too far-fetched to propose a theory to refute it.

Or, he just had some vague ideas.

The inner model violated the intuitive feelings of the mathematicians too much. Indeed, as Wang Qi said, mathematics is free and not subject to human interference. However, the "feeling for numbers and graphics" that the mathematicians have explored in countless explorations is by no means meaningless.

In fact, there are too many things in the inner model that violate people's intuitive feelings.

For example, delete the cycle.

This is something that most of the Lizong monks cannot accept.

Cycles are too common in nature.

Apart from anything else, all exercises must be cycled.

Without this cycle, all exercises cannot be realized.

The "self-reference" and "infinite cycle" pointed out by the unpredictable calculation are indeed very scary things. But this only points directly to the foundation of the human race, and has not yet spread to the natural world.

In order to bypass the inconsiderate calculation, deleting the loop is against normal cognition.

Unacceptable.

Even the idea that "constructible classes are all sets" is unacceptable.

Su Junyu even sneered at this slightly - it really still has the stench of Lianzong.

In the whole of set theory, there is only "constructible set"?

Is this person a little too optimistic?

Unfortunately, under the existing system, this point cannot be falsified.

For this, he must find other power.

Thinking of this, he looked at the letter lying in his spiritual message box.

A letter from Lianzong Xiaoyao Fanbach.

Fanbach.

This name once frightened the monks of Lizong.

Suanjun disdains to find people's weaknesses to attack. He prefers to perfect his own theory to make the opponent impeccable.

After all, the king is always on the "defensive". They don't have many targets to attack.

But people like Van Bach will.

From this letter, he learned about the current situation outside.

Lian Zong also refused to accept the constructible class of Master Hai Ting.

The constructible class is related to the axiom of choice. And the axiom of choice will just cause the ball-dividing paradox.

Lian Zong must start with the axiom of choice. Even the Lian Zong monk who sympathizes with Master Hai Ting the most wants to limit the scope of the axiom of choice.

This is all true.

Van Bach did not hide his intentions.

But at the same time, he also pointed out another point.

In a system, the stronger the "infinity" introduced, the more things can be proved.

Well, this is a very un-"Lian Zong" statement.

But this is inferred from the proof process of the internal model.

That is, the "large cardinality" including the "unreachable cardinality"

There are many benefits of large cardinality.

For example, the introduction of large cardinality can directly prove that any constructible real number set will not cause the ball-dividing paradox, and there is no need to cancel the selection function.

For example, the introduction of large cardinal numbers can prove the completeness of second-order arithmetic.

This is the path that Wang Qi stopped on after proving the first-order completeness.

But the only problem is...

"Large cardinal numbers" contradict the constructive axiom.

"For your school, it is inevitable to overthrow the constructible class. The imaginary entity that Wang Qi envisioned, which can execute all mathematics, the root of mathematics, is simply impossible to realize within the Tianli system of Li Zong..."

"But if you introduce a strong unreachable cardinal number and distort the Tianli system, the sky will be wide open..."

"Therefore, proving the security of the unreachable cardinal number spectrum is to prove the security of several rounds of the cardinal school..."

Su Junyu looked at this letter, as if there was some magic inside.

"What is this?" Su Junyu finally just sighed: "Using the hand of Li Zong to eliminate the dissidents of Lian Zong?"

- No, the boundary between Li Zong and Lian Zong has also blurred at this moment, right?

Su Junyu thought so.

Perhaps "heretics are more hateful than pagans" is not only applicable to the field of Shintoism.

For Lianzong, Hai Ting, who introduced the Tianli system, the axiom of choice, and disrupted the perfect geometric universe picture of Lianzong, is many times more hateful than most Lianzong monks.

Is it not the same for Lizong?

The differences between the Ge Ting faction and the Cangsheng national master and Ji Lao, and the differences between Wang Qi and Feng Luoyi...

-No, no, no...

Su Junyu instantly shook off such thoughts.

At least Wang Qi has not made a choice yet.

Su Junyu sighed like this.

It is indeed a mess.

As early as a few days ago, Su Junyu had already forwarded part of the content of this letter to Wang Qi.

He is still waiting for Wang Qi's reply and guidance.

"However, that being said, some things may have already had answers - after all, mathematics has its own way." Su Junyu lay down and said self-deprecatingly.

In the past two years, the Ji faction has been concentrating on compiling "Original Calculation" and building its own system. For this debate, he just ignored it or played dead.

But what if he was exposed this time?

Even for the sake of cardinal mathematics, he would study inaccessible cardinal numbers.

Van Bach's conspiracy.

Su Junyu could even imagine that an invisible net was being formed. This net had both Li Zong and Lian Zong elements. And its target was only one - Hai Ting.

It was formed for the "constructible class".

"But, isn't it a bit too much for Lian Zong monks who hate 'infinity' to come up with this?"

Su Junyu wanted to laugh. But when he thought of Hai Ting Zhenren, he couldn't laugh anymore.

How to say it...

This unprecedented alliance between Li Zong and Lian Zong was just to encircle and suppress something...

"Not strong enough, not strong enough..."

Just then, two letters appeared one after another.

One was Wang Qi's reply.

The other was...

"Lao Feng?" Su Junyu raised his eyebrows.

In recent years, his contact with Bo Xiaofeng has not been so close.

With curiosity, he clicked on this letter.

In the end, he just sighed softly.

Then, he looked at Wang Qi's letter again.

Then, he was slightly stunned: "Fuck!"

……………………………………………………………………………………

"I'm not bragging to you, nephew." Bo Xiaofeng was chatting and laughing with his nephews and nephews: "Back then, I was very close to that Su Junyu!"

"Wow!"

"Awesome! Uncle Jiu actually has such an amazing friend!"

"Grandmaster Su! He's a future talent!"

"Member of the Ji School! Uncle Jiu, how well do you know about Ji School mathematics?"

In the past two years, Su Junyu's reputation has become more and more famous.

If Su Junyu was just a footnote to Wang Qi's legendary journey two years ago, now he has also become a legendary figure.

"I tell you, I wrote a letter to Su Junyu a few days ago, and he was able to help our family solve a problem." Bo Xiaofeng said, patting his chest.

The younger generation was somewhat puzzled: "Uncle, is this an exaggeration... Will Su Junyu clash with several free and easy monks?"

Bo Xiaofeng was a little unhappy: "Just wait and see!"

As he said that, he stood up, left the lobby, and came to the backyard.

In a quiet place, there is a wing room.

Bo Xiaofeng pushed the door open and entered. Inside, there was smoke and clouds, and all kinds of precious incense were burning. These are the most precious medicines for concentrating the mind.

Bo Xiaoya sat on the table, in a daze. Her state was very strange, like a soul, but she did not take "that step", but was vague, but not a typical half-step soul.

This is a manifestation of "fuzzy mathematics", and it is also... the result of being obsessed.

"Sister, how are you today?"

Bo Xiaoya smiled: "Very good, the body has been restrained. In short, within three years, it will be back to the old state..."

But at this point, she sighed: "But, it's still just a golden elixir. If you don't get over this hurdle, there will be no future."

"It's good not to open a way yourself." Bo Xiaofeng rolled his eyes: "Think about it, when Wang Qi told you this math problem, I'm afraid he didn't care much, right?"

"Basic math is naturally more important. I... just have a slightly inferior talent." Bo Xiaoya shook her head: "It's my great fortune to meet Wang Qi when I first entered the Tao, and to get this completely different math from him. Why should he care?"

"But your next step is to fight against Wang Qi's master, the national player of Cangsheng, and the recent leader of the Xinlian Sect, Master Hai Ting!" Bo Xiaofeng shook his head.

Since Bo Xiaoya understood "fuzzy mathematics", she has been studying it for more than ten years.

But recently, she encountered a big trouble.

The axiomatization of fuzzy mathematics cannot be realized in a well-founded set.

And when self-reference is cut off, the axioms of fuzzy mathematics cannot exist.

Bo Xiaoya is at the threshold of becoming a spirit. It is precisely because of Feng Luoyi and Chen Youjia's exploration of "cutting off self-reference" that the axiomatic foundation of her mathematical theory has been taken away.

Bo Xiaofeng never expected that Bo Xiaoya, who was doing such marginal research, would be affected by the aftermath of the civil war in Wanfamen and almost cut off her path.

Bo Xiaofeng was a little scared.

What is the core of Wanfamen facing the collision of such free-spirited mathematicians now?

It is said that some people in the Bo family have organized themselves to try to clear some obstacles for Bo Xiaoya.

That is... joining "a certain invisible alliance".

The unprecedented cooperation between the Li and Lian clans to encircle and suppress.

But Bo Xiaofeng felt that this was not enough.

He sighed: "I'd better go find someone to help me?"

Bo Xiaoya smiled: "Brother, who can you find? Wang Qi himself never cares about this field. If you ask him, he will have to study it from scratch. Who else can help you?"

Bo Xiaofeng gritted his teeth: "Su Junyu and I have been friends for a long time..."

Bo Xiaoya looked strange: "It's just a fight. It doesn't count as friendship, right?"

"It counts, of course it doesn't count." Bo Xiaofeng said: "His performance in recent years has been very impressive. Maybe he can give you a new idea!"