Attributes skyrocket infinitely, I dominate the multiverse Chapter 675 Endless immobility point, fal

Generally speaking, Aleph-1?? can be equated with the real number set R.

Or we can say that the cardinality of the entire real number set is equal to Aleph-1.

But in fact, what is truly equal to the real number set R is beth_1 (Beth-1).

It is only under the premise that the continuum hypothesis holds that the result of??=beth_1 is obtained.

In short, within the ZFC background axiom system and under the condition that the continuum hypothesis holds, the smallest uncountable singular cardinality? is?ω.

This cardinality seems very large, but in the category of the entire Aleph number, it is just a small "beginning".

Above it, there are even larger cardinality that is uncountable, uncountable and immeasurable.

For example, the cardinality?(εεε0), the cardinality?(ζζζζζ?), the cardinality?(ηηηηηηηη?), the cardinality?(φ(1,0,0,0 cardinality, and the cardinality?(φ(1 @ω cardinality, or even...?(ω?) cardinality.

Note that since ω? is the first ordinal number that is equal to ??, ?(ω?) can also be called...Aleph Aleph One in a popular sense.

Of course, this name is still not rigorous.

But for the sake of convenience, it is harmless to use such names.

In summary, since there is Aleph Aleph One?(ω?).

Then we can follow this path and reach Aleph Aleph Two?(ω?), Aleph Aleph Three?(ω?), Aleph Aleph One Hundred?(ω???), Aleph Aleph Ten Thousand?(ω?????), and even the so-called...Aleph Aleph Infinity?(ω_ω).

In short, as long as we keep repeating Aleph Aleph Aleph endlessly, and repeat endlessly, we will eventually reach the so-called... Aleph fixed point.

If this fixed point is described in mathematical language, it is in the Aleph function ?(x), let x be a certain value.

And the value of this x is so huge that it is equal to ?(x)=?(?(x=?(?(?(?(x)=?(?(?(?(x……=?(?(?(…?(ⅹ)…), with a total of infinite and endless layers of brackets.

Then this ?(x) is the first Aleph fixed point.

Since there is the first one, by analogy, there will naturally be a second, a third, a fourth... there will be Graham's number... there will be SC G(3)... there are Aleph zero... there are Aleph infinity... there are Aleph fixed points... and many more.

So, is this the limit of Aleph numbers?

No, far from it.

At the very top where no fixed points can ever reach, no Aleph iterations can ever touch, there is... a power-admissible cardinality.

Abbreviated as: pow or pa.

The first pa is a point that no Aleph iteration can reach, which can be written as pa_1.

Since there is pa_1, then there will naturally be pa_2, which is another fixed point that pa_1 cannot reach even if it is iterated infinitely many times.

Similarly, pa _3 is also a fixed point that pa_2 cannot reach no matter how iterates.

By analogy, we can go through pa_4, pa_40, pa_400, pa_... and finally reach a fixed point that is so far away that it cannot be described by the word fixed point - pa_pa_1.

Above this, there are pa_pa_pa_1, pa_pa_pa_pa_pa_1, pa_pa_pa_pa_pa_1... and so on and so forth, countless infinite-order PA fixed points.

So in the end, a fixed point like pa_pa_pa_pa_pa... that never ends is power recursive inaccessible.

Abbreviation: PA cardinality or PA fixed point.

At this moment, Mu Cang and the Taoist master - Yun Zun, are in the physical domain layer corresponding to the PA fixed point, fighting fiercely.

In fact, after the two had a verbal confrontation in the ?(εεε0) domain, they fought without hesitation.

And after the entire ?(εεε0) domain collapsed in an instant, Mu Cang and Yun Zun continued to use their own methods to "ascend" all the way, madly penetrating into the various realms, domains, layers and realms.

So after penetrating and tearing apart the countless layers of infinite domains, passing through the ?(ζζζ?) domain...?(ηηη?) domain...?(φ(1,0,0, domain...?(φ(1 @33 domain...?(φ(1 @ω...?(ω?) domain...?(ω????) domain...?(ω_ω) domain...as well as the first Aleph fixed point boundary layer...and the ten thousandth Aleph fixed point boundary layer...and the Aleph infinite fixed point...and the infinite and endless layers of PA fixed points, the two finally arrived and stopped in the PA cardinality domain.

So far, after this crazy journey of climbing the boundary, Mu Cang's life level and strength level have completely stopped at the power-recursive-inaccessible cardinality (PA) level through the heaven-defying power of [See and I Get].

For this indescribably terrifying basic magnitude, its true power cannot even be described directly or indirectly in any natural language.

But Mu Cang didn't care about this at this moment.

His attention now has all been focused on that far away thing in the distance--\u003e\u003e

Words such as "endless" or "fixed point" or even "endless fixed point" are completely unable to describe the strange figure in the distance - the person who holds the Taoist Master Yun Zun.

Mu Cang could clearly feel that this guy named Yun Zun was not really interested in this battle.

The reason why He continues to 'ascend' towards higher levels of realm is more like... looking for something.

'When I see it, I get it...'

Mu Cang thought deeply, 'Can't it actually have an effect on this Taoist named Yun Zun? It's really... strange. ’

Yes, Mu Cang had countless fierce battles with the Fortune Lord along the way, but [See That I Get] was as unresponsive as if he was dead, unable to replicate any of the opponent's abilities and strength.

Mu Cang relied entirely on [Ling Yue Feifu] to keep up with the rhythm of Yun Zun's 'ascension' and the intensity of the battle. He also relied on the external environment to stimulate the activation of [See is what I get], and finally reached the goal step by step. The level of status He currently occupies.

The danger during this period is beyond description.

At the same time, Mu Cang also discovered that the Fortune Lord seemed to have a general ability similar to "I get it when I see it".

The reason why he said this was because he could clearly 'see' that whenever the opponent reached a certain territory, he could instantly possess the same level of strength as the other party.

This level of improvement method and performance are almost exactly the same as Mu Cang's.

In this regard, Mu Cang extremely doubted that this method of increasing strength or ability was probably the same as the other party's teleportation ability that could travel across all realms at will. It was some kind of innate talent of the Taoist clan.

'But looking at it on the other hand, if this Fortune Master still needs to go through 'growth' and 'progress' to become strong, then how did he break out of the prison before? ’

Mu Cang was confused, 'According to normal logic, this Yun Zun should be extremely powerful to be qualified to see the operational loopholes of the prison and escape from it.

Could it be that... He had suffered severe injuries before being imprisoned in the prison and his strength declined, or... was it that some of his talents were blocked? ’

Obviously, Mu Cang does not know the exact answers to these questions yet.

At the same time, Mu Cang has actually tried many times to kill Yun Zun through [Ling Yue Feifu], but he has never succeeded.

Therefore, this unknown creature named Yun Zun obviously has the ability to be immune to the power of the two heaven-defying skills [Ling Yue Fei Fu] and [See and I Get].

As for what this ability is specifically, you have to completely capture this guy and then search your memory to find out.

As for when we can defeat the opponent, we can only say... soon, soon.

'I have felt that after arriving in this PA fixed point field, [Ling Yue Feifu] is about to leave the semi-awakening state and enter the true mature state, so I only need to wait for it to fully mature before proceeding. ...'

Mu Cang said to himself, ‘The final victory is over. ’

Buzz——

In the long secret words in his heart, [Ling Yue Feifu] suddenly began to undergo a mysterious transformation.

It seems to be about to break out of the cocoon and become a butterfly.

"Mu Cang."

Yun Zun in the distance suddenly said coldly, "You are probably not a creature from this territory."

"oh?"

Mu Cang said indifferently, "Why do you say that?"

"Your level growth ability is very powerful, so powerful that you can easily break through the allowable point."

Yun Zun said coldly, "It is impossible for any living being here to have this ability anyway, so... you must come from outside this territory."

"Maybe."

Mu Cang neither admitted nor denied, just chuckled, and then asked, "What about you? Where are you from? And why are you being imprisoned here?"

"Hey hey hey~"

Yun Zun suddenly changed his face and sneered, "Do you think I will tell you?"

"I guess..."

Ignoring Yun Zun's sarcastic words, Mu Cang said to himself, "You should be the so-called family of masters according to the members of the Aleph family."

"Oh~ so what."

Yun Zun smiled solemnly, "Besides this, what else do you know?"

"It doesn't matter."

Mu Cang smiled calmly and said, "After I beat you to death, I will naturally know everything."

"really."

Yun Zun also said calmly, "As long as you can kill me, you can get everything, but... you have no chance."

Wow——

Suddenly, an aura that made Mu Cang feel extremely strange and illusory suddenly erupted with Yun Zun as the center.

At the same time, the moment this breath appeared, the entire realm where the two of them were located suddenly became illusory and blurred, as if it would disappear in the next moment.

"Mu Cang, I have to admit that you are indeed an interesting little ant."

Yun Zun's figure began to become inexplicably hazy and false, like an illusion.

"It's a pity...I have to leave here."

Yun Zun, whose figure became more and more illusory and empty and seemed to be about to disappear, smiled lightly and said, "Just wait slowly in this area, and wait until I have completely recovered to the perfect state... and then I will come back and take good care of you."

When the time comes, I will knock you down into a humble mortal, and then have fun with you again, hahahahaha! "

While he was laughing wildly, a 'portal' that was neither real nor false appeared out of thin air and enveloped the laughing Yun Zun, as if to transport him to an unknown realm.

--\u003e\u003e

And at this moment, Mu Cang's [Ling Yue Feifu] finally matured and entered a truly fully awakened state.

then--

"Hmph~"

Mu Cang raised his eyes to look at Yun Zun, who was about to disappear, and sneered coldly, "Want to escape? It's not that easy."

[Ling Yue Feifu], start!

Activating effect——

〈Yun Zun has the ability to leave this territory ≠ Yun Zun can successfully leave this territory〉

〈【I will get it when I see it】I cannot reproduce all the talents and abilities of Yun Zun at this moment≠【I get it when I see it】I cannot reproduce all the talents and abilities of Yun Zun at the next moment〉

〈Mu Cang doesn’t know all of Yun Zun’s memories at this moment≠Mu Cang doesn’t know all of Yun Zun’s memories at the next moment〉

〈Yun Zun is a member of the Taoist clan at this moment ≠ Yun Zun is a Taoist clan at the next moment〉

〈Yun Zun is a PA fixed point level at this moment ≠ Yun Zun the next moment is not a carbon-based mortal in the realm of the three-dimensional universe〉

〈Yun Zun can continue to grow and progress in this moment≠ Yun Zun can continue to grow and progress in the next moment〉

〈Yun Zun will have the basic attack ability from this moment onwards ≠ Yun Zun will have the basic attack ability from this moment onwards〉

〈From this moment onwards, Yun Zun...〉

〈From this moment onwards, Yun Zun...〉

…

Buzz! ! !

In an instant, the illusory portal collapsed without a trace, revealing the confused Yun Zun.

"What love..."

As soon as Yun Zun burst out a sentence from his mouth, all his abilities, talents, and memory information were instantly perfectly reproduced and possessed by Mu Cang.

At the same time, Yun Zun's PA fixed point level strength and his mysterious master essence also suddenly dissipated, and began to 'fall' crazily, almost without any process.

So in just a moment, Yun Zun 'falls' all the way through the infinite layer pa fixed point realm, the endless layer? fixed point realm, the endless layer? cardinal realm.

Finally fell into... a dirty corner of the Aleph Domain - Recursive World - Three-dimensional Universe - Milky Way - Earth - Tianzhu Slums.

"Ouch!!"

Yun Zun, who had transformed into a frail, frail, fair-faced Indian man, appeared out of thin air and fell heavily into the shabby swamp on the bank of the Ganges River where feces, urine and sewage were everywhere.

"Ah~ It hurts! Ah~ It stinks! What's going on?! What the hell is this place?!"

Yun Zun, who was covered in mud and grinning, struggled to stand up from the stinky mud, one foot deep and one shallow, and walked desperately not far away.

Although Yun Zun didn't know what happened, the harsh environment around him forced him not to stop.

At this moment, at the corner of the road not far from Yun Zun, a group of drunken and fat Indian men with dark skin and body odor suddenly walked up.

As if guided by fate, these drunkards from Tianzhu suddenly saw Yun Zun who looked like a beautiful girl not far away.

"Lord Shiva! Is that a movie star?!"

This group of drunkards howled in excitement and immediately chased Yun Zun, who was dozens of meters away and completely unaware of all this, with a lewd smile.