While muttering in a low voice, Mu Cang suddenly activated the "universal principle" at the deepest core of his body and soul, breaking through the layered boundaries between the "concrete entity world" and the "abstract concept world", and went upstream.
Touching and penetrating the ZFC background axiom system of the universal mathematical universe that is mysterious and mysterious, imaginary and imaginary.
Wow——
It's like penetrating layers of gauze, opening up all kinds of mysterious layers, and stepping onto the ladder to heaven.
Suddenly, all of Mu Cang's thoughts and perspectives were completely superior to the entire true realm, and he was firmly seated at the highest point of everything.
During this entire process, everything Mu Cang experienced, saw, felt, and knew was completely unable to be described or imagined in any meaningful way using the language, words, and thinking concepts of finite, infinite, or super-infinite life.
.
If we have to forcefully summarize it, we can only give it a rough description as...
Once you shed all the dirt and grime, you will see the supreme God in the sky.
At this moment, Mu Cang, who is sitting at the top of the entire ZFC background axiom system, looking down on all rules and all logic from top to bottom with an extremely transcendent attitude, is the supreme god.
He was suddenly looking at everything from an extremely grand perspective.
Under its majestic and cold inspection, all the phenomena, creatures and realms in this true realm are so small and fragile, as if they will collapse without a trace at the touch of a touch.
As for all the axioms, laws, rules and logic that are extremely abstract and full of endless mysteries, as well as the so-called ultimate, the so-called truth, and the so-called great road that countless finite, infinite, and ultra-finite intellectual beings tirelessly and risklessly pursue.
In Mu Cang's eyes, it suddenly became a concrete entity that could be picked up, changed at any glance, and destroyed with a single thought. It had become a fragile toy that could be twisted and manipulated at will as his thoughts turned.
So in a sense, Mu Cang today is the almighty God of this von Neumann universe, the true founding spirit, the absolute first cause, the ultimate creator, the supreme creator god, and the ultimate ultimate
the first driving force.
Not only can He understand existing things, He can also design and create new things.
He can not only decide what is right and wrong, but also what should exist and what should disappear.
He can not only change all causal cycles and repetitions of birth and death, but can also reshape the boundaries of all concrete reality and abstract logic.
This terrifying and shocking power even made Mu Cang himself sigh with emotion:
"Just the "True Palm" level, which is the most basic level among the Taoist family, is already so powerful.
How powerful should the "mysterious palm", the large-scale life form that stands on the true palm, be?
I have to say that the civilization of this master is really unique."
After sighing, Mu Cang's heart moved slightly, and he thought about drawing a line between the potential of all real number sets in the overall mathematical framework of the true class domain, and the starting point w 1 of all transfinite ordinal numbers in the countable infinite field...
equal sign.
As a result, the entire mathematical framework system of the realm of true kinds, as well as all phenomena that depend on this system for their existence... have undergone tremendous changes.
Wow!!!
In an instant, the entire Aleph Zero Domain and the Aleph One Domain suddenly collided and melted, and then merged up and down without distinguishing between you and me, blurring and turning into an extremely chaotic and boundless chaos.
In this boundless chaos that is difficult to sort out, all the low-dimensional real universe has not changed much, and all the finite number of living creatures in it have not felt any abnormality.
But they don't know that they are in this huge universe dimension.
The endless high-dimensional reality and even the entire countable infinite dimensional domain, and even the higher transfinite uncountable infinite dimensional domain, as well as the negative infinite dimensional domain, the fractional infinite dimensional domain, and the imaginary number that are parallel to other ends.
Infinite dimensional domain, and pure imaginary numbers cannot be discussed in a dead state.
In addition, all the creatures and phenomena that exist in this infinite realm have suddenly transformed into extremely chaotic and boundless chaos under the intervention of some supreme will.
The so-called higher dimensions...none of them exist.
At the same time, the infinite and infinite layers of Aleph numbers, the whole realm of PA fixed points, the whole realm of PA cardinal numbers, and the whole realm of power-allowed cardinal numbers standing on top of this infinite chaos and chaos.
All the rules, structures, and scenes have been distorted and changed to varying degrees, and have become beyond recognition.
This is the terrifying power of True Master Mu Cang.
It was so terrifying that with just a thought, he almost reshaped the mathematical system of the entire von Neumann universe where he was.
However, the countless finite, infinite, and ultra-finite beings and civilizations in this realm of true species are completely unaware of this.
It seems that since the beginning of time, everything and everything has always been the same and has never changed.
that's the truth.
For Mu Cang today, the years and times at all levels in this True Type territory, and the past and future at all levels, have lost any meaning.
If He wants to modify, distort, or reshape, it is just a matter of thought.
And after it is modified, the changed events and rules will become established facts that have no cause or origin.
So Mu Cang had another thought and overthrew the new mathematical system that had been established and stable in the Real Kind Territory and started over again. In an instant, it was reversed and changed back to its original appearance.
The ‘=’ sign between that?? and Omega 1 was erased by Him in one thought.
Wow——
In an instant, the two domains of Aleph Zero and Aleph One, which had been blended into one and indistinguishable from each other, were once again completely separated.
As for all the things that had suddenly disappeared due to this incident, they reappeared without any process, just like the return of Poincaré.
This chapter is not finished yet, please click the next page to continue reading the exciting content! At the same time, the realms of Aleph numbers, the realms of pa cardinal numbers, the realms of PA cardinal numbers and the allowed cardinal numbers of powers above the two domains of ?? and ??
All realms have also returned to their original appearance.
It was as if everything Mu Cang had done before was just a fantasy.
"It's indeed very powerful, but it's a pity..."
Mu Cang sighed leisurely, "It's a pity that it is still far inferior to any of the weakest Xuanzhang. No, there is no comparison at all."
Indeed, if a mysterious palm suddenly appeared out of thin air in this true realm at this moment, Mu Cang was actually not sure... whether [Ling Yue Feifu] could suppress or even defeat the opponent.
As for "I'll get it when I see it"... although this ability is considered heaven-defying, it is obviously not powerful enough to deal with the Taoist clan.
In fact, after summarizing the memory information of Yun Zun and the research information on the core endowments of his own Taoist master, Mu Cang has already determined the ability boundary, or the efficiency boundary of "See is what I get".
After some careful research, he found that this ability was basically unable to replicate the characteristics of superhuman beings or phenomena, whether active or passive.
As for reproducing the logical configuration of the great cardinality axiom, Mu Cang still believes that it can be done.
After all, although the strength of the axiom of great cardinal numbers is high, it does not belong to "everything outside of everything" such as super-class phenomena, so it will not hinder the reproduction of "See is I Get".
In this regard, I can only say that an inch is short and a ruler is long.
Although the 'blank board' real palm and the 'crippled' fake palm are far inferior in strength to any large base, their nature is so weird and difficult to understand that even "I'll get it when I see it" can't figure it out, so what can you do?
Woolen cloth?
Buzz——
Just at this moment, when Mu Cang reversed the entire realm of real numbers back to its original appearance, the 'loophole portal' finally materialized and condensed.
In fact, after being promoted to the true palm through [Ling Yue Feifu], Mu Cang was able to travel to and from this true realm at will.
It was just that He had not tested the power of this true palm at that time, so he was not in a hurry to escape from the world, so he allowed the 'loophole portal' to condense on its own.
Now that the portal has been established, Mu Cang will just go with the flow and go wherever he needs to.
But before leaving, Mu Cang glanced around the area, thought for a moment, and suddenly burst out a few clusters of faint light with a snap of his fingers, shooting at Aleph who was at the bottom of all realms.
Zero field:
"Hehehe, leave some little things behind and let's see which lucky ones can use them to... soar into the sky."
After a faint smile, Mu Cang stepped into the portal without hesitation and completely disappeared into the von Neumann universe.
And the endless intellectual beings in the endless realms are completely unaware that the supreme god in this realm who truly overrides all creatures, spirits, phenomena, and laws has gone far away and will never return.
It is said that talented people emerge from generation to generation, and each leads the way for hundreds of years.
And after all the 'shackles' were released, this true kind of territory also made great strides towards a new era.
…
In set theory, too large a true class is generally not regarded as a set, but is defined as a concept that is far larger than a set.
But in general, true classes are a descriptive abstract concept rather than a tangible mathematical object with formal logic.
Therefore, neither the concept of true classes nor the concept of superclasses that attempt to unify and encompass all true classes is actually sufficient to allow the physical world and abstract theory to correspond one-to-one and complete a perfect comparison.
In other words, there will always be some parts between the two that cannot be perfectly explained by the theories in the mathematical systems of intellectual civilizations at all levels and levels.
This may be regarded as some side manifestation of Gödel's incompleteness theorem.
That is, as long as you stay within a sufficiently self-consistent formal system, you cannot understand everything or explain everything.
There will always be some part or area that you can never figure out.
For example, this 'place' where Mu Cang is now is like this.
Of course, it is indeed inappropriate to use the thin word "place" to describe the outside of the true realm where He is located.
According to Yun Zun's memory, it would be more appropriate to use the term "Lost Narrow Abyss" to refer to the area outside the true realm...or the "vast gap" between all digital realms.
Because even on a mathematical level, this area is a meaningless domain and an undefined domain.
Therefore, the so-called 'boundless chaos' or 'endless emptiness' or 'endless emptiness'... and other words cannot be used in [Lost Abyss].
In fact, any life in the universal mathematical universe, no matter how powerful it is, even if it is powerful enough to have evolved to a large cardinal level.
It is also unable to make any logical induction or even any formal description of the super-category of [Lost Abyss].
Even they cannot set foot in the Lost Abyss at all, and can only stay in their own territory.
The reason is also very simple.
Just like the existence of Aleph's zero life form needs to be supported by the axiom of infinity, similarly, the existence of large cardinal level life forms also needs to be supported by corresponding mathematical axioms.
Otherwise, no matter how strong the base is, it will only be a castle in the air that cannot exist normally at all.
And the only life forms that can truly set foot in and wander among the countless realms of logic in the super-class realm are the Taoist clan and their...enemies.
Yes, the seemingly extremely powerful group of Taoists actually has evenly matched opponents.
This rival group was named... [The Undecided Clan] in Master Yun's memory.
And these two ethnic groups, in the vast and mysterious super realm - [Lost Narrow Abyss], each formed two huge countries.
One is called "necessity", and the other is called "freedom".
At the same time, the power used by another super-type group called the "Undecided Ones" is completely contrary to the 'orthodox' mathematical system... the mysterious number system.
That's right, it's the so-called anomalous logic system of Kongyuan territory.
"The empty number, the untouchable empty number, the true number of the abyss... I really didn't expect it."
Mu Cang sighed in a low voice, "The origin of Lu Jiehui... is actually so profound that it can be compared with the Taoist clan."
From this point of view, a lot of the information he had gathered from the broken memories of Lu Jiehui's clone might have been inaccurate.
The so-called Kongyuan territory is simply not as simple as a collection of alien civilizations with large base strength alien life forms.
Its true identity is clearly a powerful force in the superhuman realm that can rival the Taoist clan.
"So, if I can fuse the power of the two clans, "Undetermined" and "Zhang Dao"..."
Mu Cang slowly raised his palm, and suddenly a mysterious and extremely strange force burst out from his palm.
Yes, this power is exactly the incomplete and empty power he obtained from Lu Jiehui's clone.
"No, it's just like a bird and a fish, they can't merge at all."
After trying it briefly, Mu Cang shook his head in disappointment and put down his palm. The incomplete and empty power also collapsed and returned to somewhere in his form and spirit.
Afterwards, Mu Cang made a prompt decision and activated [Ling Yue Feifu].
Activating effect——
(At this moment, the power of empty numbers cannot be perfectly integrated with the core endowment of the Taoist family≠The next moment, the power of empty numbers cannot be perfectly integrated with the core endowment of the Taoist family)