All phenomenal life forms that exist in one, two, three, four, five, and six dimensions, whether they are carbon-based paramecia, Westem people, ancient immortals, or god-level backroom entities, all belong to this category.
A finite number of living beings.
And all the beings in the super-phenomenal world that exist in dimensions seven, eight, nine, ten... to the infinite, the eight-dimensional wild people in the essential world, the gods who stand side by side in the world of truth, and the non-recursive ones in the extra-dimensional, are all infinite-level creatures.
So the Godzilla-like life forms that Mu Cang saw in this Aleph II realm were... ultra-poor creatures.
The so-called superfinite refers to uncountable superfinite numbers.
In contrast to this number, there are countable infinite numbers.
No matter from an objective or subjective point of view, numbers are divided into big and small, and there are also differences in order.
The so-called size is the basis, and the order is the order.
Fundamentality and order are the two basic properties of numbers.
If you remove the basicity and retain the order, it is an ordinal number; if you remove the order and retain the basicity, it is a cardinal number.
Of course, the cardinality in set theory and the 'cardinality' mentioned here cannot be completely regarded as the same concept. There are differences between the two.
In short, whether it is ??, ?? or ??, there are endless ordinal numbers, which can each establish a bijection with these three, and at the same time, these three share the same intensity.
At the same time, just like in the countable infinite "kingdom" called ??, there are infinite recursive ordinal numbers and infinite non-recursive ordinal numbers.
??And??Even??Even more Aleph numbers have endless recursive ordinal numbers and non-recursive ordinal numbers within their respective 'spheres of influence'.
If it corresponds to the level of the physical world, then it can be understood as:
There are recursive worlds and non-recursive worlds in the Aleph Zero Domain, the Aleph One Domain, and the Aleph Two Domain that Mu Cang has set foot on so far.
The Godzilla-like species that Mu Cang has seen so far are recursive creatures that belong to Aleph's second realm.
Therefore, in this realm, these creatures are the weakest of the weak.
By analogy, it is like those warrior-level beings with the lowest status and weakest strength in the seventh dimension of the recursive world of Aleph Zero Domain.
But even so, the weakness of these Godzilla-like species is only relative.
If you catch one of them at random and sneak it into the Aleph 1 or Aleph 0 realm in the 'lower realm', it will definitely be able to easily kill all the creatures in the entire domain and completely trample everything under its feet.
Crush and explode into slag.
As for the so-called supreme avenues, supreme essences, or ultimate truths in the 'lower realm', to be honest, for these unknown species at higher levels of uncountable infinite levels, they are even worse than bullshit.
And Mu Cang, who possesses the heaven-defying skill of "Seeing and Is Gaining", after arriving in this countless ultra-finite dimension realm and witnessing these species, he also naturally possesses the same power and level as them.
In other words, Mu Cang today is strictly speaking a super-finite life form at a certain recursive ordinal level within the category.
At the same time, although from the perspective of a set, each cardinal number is the smallest of a type of equipotential ordinal numbers, and in a sense the 'beginning' or 'starting point' of this type of equipotential ordinal numbers.
For example??=w,??=w?,??=w?...and so on.
But when it truly corresponds to the level of the actual physical universe, whether it is w 1, w·2, w^w..., etc. ordinal numbers corresponding to the realm, or w? 10, w?·10,?... etc.
The corresponding realms of ordinal numbers, or corresponding realms such as w? 100, w?·100,?^w?... etc., must honestly belong to the Aleph zero domain, the Alev one domain and the Aleph domain.
Inside the husband's second domain, it is fixed in its position and cannot move even half a minute.
Therefore, although Mu Cang currently stands at the second level of Aleph, there are also countless and immeasurable powerful men of the same level in this domain, who can theoretically crush him completely in terms of strength.
Of course, this is just a theory.
In fact, not to mention the heaven-defying magical skill [Ling Yue Feifu], the invincible power of Chaos Abuse alone can make Mu Cang ignore all the powerful people in this field.
Wait, doesn’t the so-called invincibility effect of Chaos Delusion have to be at the same level... in order to exert its due effect?
Just like Mu Cang and Torrent Master, if they are both at level e0, Mu Cang will definitely win.
But once an E1-level torrent master appears, Mu Cang will be defeated no matter whether he hesitates or not.
Yes, that's true.
But...the past was the past, and the present is the present.
When Mu Cang's life level was promoted to the level of Aleph, and he truly possessed that uncountable and infinite level of power, what happened to him... was not just [Ling Yue Feifu].
In fact, after truly settling on the ?? level, the delusion of chaos that Mu Cang had always possessed also underwent an extremely terrifying transformation and sublimation.
After sublimation, Chaos's delusion possesses invincible power at the same level, and its specific effect has magically evolved from the original invincibility at the same sequence level to... invincibility at the same base level.
Yes, it's that exaggerated.
Therefore, once any enemy is at the same base level as Mu Cang.
Regardless of whether he is specifically at the recursive ordinal level or the non-recursive ordinal level, even if he is the global ruler of the entity field structured at the level corresponding to the current base number, that is, a member of the Aleph family who has mastered the authority, he can only become a Mu
Cang's men were defeated.
This result of victory or defeat has been completely blocked by the delusion of chaos.
If you want to go against this result, you have to take action from a stronger person with a higher base level.
But once any higher-level existence without eyesight dares to take action, then he will definitely be punished by Mu Cang's another heaven-defying magical skill "I can get it when I see it".
Therefore, when Mu Cang appeared in the Aleph Second Realm, the outcome was already determined.
This chapter is not over yet, please click on the next page to continue reading the exciting content! Mr., you will definitely die.
"so……"
Mu Cang looked at the endless sea of lines in all directions and said with a leisurely smile, "Why hasn't Mr.? shown up yet? He should have discovered me, right?"
Logically speaking, as the ruler of Aleph's second domain, Mr.?? should have killed Mu Cang the first moment he appeared in this domain.
But until now, Mu Cang didn't feel anything at all, and [See It, I Get It] was extremely quiet and had not been activated.
This shows that Mr.?? did not shroud his perception towards Mu Cang.
But this... is too unreasonable.
Who wouldn’t pay attention to their own territory at all? It’s obviously something that can be accomplished with just a thought.
"What happened?"
Mu Cang stepped forward slowly, crossing vast stretches of endless and endless sea of lines:
"This domain is not like the ?? domain, where there are abnormal and abnormal areas such as the negative-dimensional abyss, so Mr. ?? has no other place to go.
Even if He opens his eyes, He can see the entire field and can see me, but why hasn't he reacted until now?"
In doubt, Mu Cang activated [Ling Yue Feifu].
Okay, if you don't come over, then I'll drag you over.
Activating effect——
(This moment?? The sir is not in front of me ≠ The next moment?? The sir is not in front of me)
Buzz!!
Silently, a figure that was incomplete and broken but continued to exude an endless and majestic aura suddenly appeared in front of Mu Cang's eyes.
After this figure appeared, Mu Cang's "See and I Get" ability began to operate autonomously, pushing his life level and strength level to the level of the global ruler of Aleph's second domain in an instant.
Since this broken figure can produce such impressive effects as "See It, I Get It", then it is obvious that it is definitely the Mr.?? who has never appeared.
"But……"
Mu Cang frowned and approached the figure, confused and asked, "Why... is he already dead?"
Yes, this one was pulled out of thin air by Mu Cang using [Ling Yue Feifu]? Sir, surprisingly... it was a lifeless corpse.
"interesting."
Mu Cang looked at the corpse up and down, rubbed his chin and murmured, "What is this?"
As a member of the Aleph family who is like the supreme god, Mr.?? would actually die silently in a corner of his own territory.
As for this abnormal situation, no one from the Aleph family came to investigate, as if they didn't care at all.
This is a bit... too weird.
"Could it be...that Kongyuan territory has been invaded? Or...that the Aleph family is having a civil war?"
After thinking about it, Mu Cang suddenly unfolded his perception and enveloped the entire Aleph Second Domain.
Then he saw... large swaths of hideous scars, scattered in every corner of this domain without any pattern.
"A trauma so huge and so deep..."
Mu Cang's eyes flashed and he asked, "Who could have left it behind?"
Afterwards, He ignored the corpse that still retained boundless power, and activated [Ling Yue Feifu] again in a flash.
Activating effect——
〔I am a level ≠ I cannot reach the realm〕
In an instant, boundless bright light exploded with Mu Cang as the center.
Wow!!
The infinite brilliant light is like a blooming flower, which disappears in an instant as soon as it opens and closes. Mu Cang, who originally stood among them, also disappeared out of thin air, as if he had never appeared.
…
At the mathematical level, if the generalized continuum hypothesis holds true, then the cardinality of the power set of the Alev two set is Alev three.
At the same time, the reason why the Aleph Two Domain in the physical world presents a landscape of a curved ocean is related to the fact that it is the total collection of all continuous or discontinuous curves.
As for the so-called curve, it is essentially a graphical representation of various functions, so it can be called a function curve.
For example, for a simple linear function such as y=mx b, its image is a straight line; for a more complex function, such as a quadratic function y=ax^2 bx c, its image is a parabola; for trigonometric functions, such as y=
\sin(x) or y=\cos(x), the graph is a periodic wavy line.
Just like functions can be understood and represented as curves, sets of functions or real functions can also be understood and represented as topological spaces.
Generally speaking, a function with a function as its domain is called a functional.
The so-called functional analysis studies the mapping between topological spaces and topological spaces.
The total number of such mapping methods is exactly three types: Aleph.
Therefore, the overall landscape of the three Aleph realms in the physical world is closely related to this.
Of course, it's just about it, not its true reality.
At the same time, if we say that the Aleph II field is a vast ocean of transfinite numbers composed of continuous and discontinuous curves.
Then the three realms of Aleph are a mysterious world composed of a variety of super-finite numbers of 'shapes'... no, it should be said to be 'super shapes'.
The so-called ‘shape’ is essentially composed of countless curves.
If the description is more detailed, then the 'shape' can be defined as a 'graph' consisting of any point in the known arbitrary dimensional vector space, and the long, short, infinite or super-finite distance between any two points.
'.
And ‘super shape’ completely transcends this concept.
Therefore, what Mu Cang sees at the moment is the Aleph Three Realms, which is a strange world made up of layers upon layers of various super-shaped structures that are so complex that they are terrifying and indescribable.
Mu Cang was not very interested in the extremely chaotic but extremely orderly super shapes around him.
He just wants to chat with Mr.?? now and ask about the cause of Mr.??'s death.
But this gentleman seemed to have not appeared in front of Mu Cang at all, just like his brother.
It's like he doesn't care at all.
"Could it be that you also burped?"
Surprised, Mu Cang activated [Ling Yue Feifu] with just one thought.
Activating effect——
(This moment?? The sir is not in front of me ≠ The next moment?? The sir is not in front of me)
Buzz——
In an instant, a majestic and surging aura of the Holy Spirit appeared out of thin air, covering and enveloping everything Mu Cang could perceive.
And [See is I Get] was also activated at this moment, pushing Mu Cang's life level and strength level to the exact same level as this aura without any process.
That is, the level of the ruler of the three realms of Aleph.
But even after such a huge transformation, Mu Cang's attention did not focus on this aspect, but moved to the center of this sudden aura - a tragic corpse that was extremely tattered and only half of it was left.
Obviously, this broken corpse with only half of it left is the Mr.?? who has never appeared.
"what is happening?"
Mu Cang raised his palm and smashed the corpses into pieces. He frowned and asked, "Why are they dying one after another?"
As he spoke, his magnificent perception enveloped the entire three realms of Aleph.
Then, he saw that every corner of this domain was covered with large swaths of similarly hideous scars and cracks.
"Could it be that the Kongyuan territory..."
Mu Cang's eyes were filled with confusion, "Is it really an invasion?"
After pondering for a while, he activated [Ling Yue Feifu] again, intending to... go to that higher level to take a look.
Activating effect——
[I am a ??level being ≠I cannot reach the ?w realm]
Wow——
In the endless bright light, Mu Cang's figure disappeared instantly.
