Attributes are infinitely increasing, I dominate multiple
Attributes skyrocket infinitely, I dominate the multiverse Chapter 687: Traversing the infinite real
Regarding Mu Cang's sudden arrival.
The endless, infinite, infinite, and ultra-finite intellectual beings living in all walks of life, domains, realms, and universes in that von Neumann universal universe actually do not have any perception.
Even because of Mu Cang's arrival, the overall scale and intensity of the true realm where he was located suddenly increased by immeasurable levels.
However, because the gap between the two sides is so huge, they do not have any ability or qualifications to have any effective perception of this drastic change based on the entire universe.
The only thing that responded was the Shuluo Realm itself.
At the same moment when Mu Cang arrived here, it suddenly grew uncontrollably and "crazily" grew into a large base space-time structure that was infinitely larger than itself.
And in that large section of the 'Creation Mountain' world cardinal entity space-time structure that suddenly 'exploded' out of the ZFC axiom system structure body in the 'narrow depression', innumerable, infinite and boundless things also emerged out of thin air in all layers and domains. There are so many native life forms at the world's base level.
Moreover, these large numbers of ‘natives’ built and developed their own intelligent civilization, social structure and cultural system in an instant.
Of course, this was a ‘moment’ in the eyes of Mu Cang, the Almighty God.
For Him, there is no so-called secret, no so-called moment or eternity within this realm of logic.
All beginnings and ends, all possibilities and changes, all cause and effect and destiny were all understood by Mu Cang when he came.
But for these large-base 'natives', they and their own civilization have truly experienced a long period of time at the world's base level.
This is almost a narrative level gap.
After Mu Cang left, this territory was immediately returned to its original shape, losing all the basic space-time structure of the world, and fell back to its original ordinary state.
As for the infinite and boundless indigenous life forms that existed among them, it was as if they had never appeared before. They were all annihilated in an instant and disappeared into nothingness.
Subsequently, Mu Cang arrived at another one. Due to serious deficiencies in the background axiom system, the overall scale and strength were only at the initial stage of ω·2 seven-dimensional generals, and all phenomena, creatures, spirits, and spirits within the territory could only reach the highest level. The remaining logical realm of the Seventh Vishnu hierarchy.
After He arrived at this territory, the background axiom system there was immediately automatically completed, and at the same time, its overall scale and magnitude also exploded and climbed to the world base level.
As a result, the Aleph Zero Domain, which was originally shallow and incomplete, suddenly expanded into layers of various transfinite space-times and even non-recursive domains, and suddenly grew into an even larger one... , ??, ??... and so on, a series of numerical fields, as well as a series of power-admissible cardinality fields, a series of PA fixed point fields, and a series of Σ world cardinality fields starting from Σ2 world cardinality, and also There is a large cardinal space-time structure that stands on top of all this.
Then, Mu Cang stepped out of this territory and disappeared without a trace, and the layers of the world's cardinal level time and space fields also turned into dreamy bubbles and disappeared as he left.
However, the ZFC background axiom system, which was fortunate enough to be fully developed in the logic field due to his arrival, has not returned to its original incomplete state.
The fields of infinite base numbers below the large base numbers that have grown up vigorously have not disappeared, and they have all survived by luck.
Therefore, Mu Cang's arrival is equivalent to recreating the infinite world for the intellectual beings in this territory and opening up countless endless and broader realms of time and space.
This is Mu Cang's great love.
However, this love is too majestic and lofty, so those small sentient beings and the countless ultra-finite civilizations and creatures born because of Mu Cang are completely unaware of it.
It can only be said that when the gap in strength reaches a certain level, even the sincere gratitude and humble kneeling cannot be achieved.
Because...you can't see Him at all, and He won't care about you at all.
Later, Mu Cang arrived at a realm where due to the lack of the axiom of infinity, all living beings within the realm were limited to a limited number of levels.
Similar to the previous two times, Mu Cang's sudden arrival also ushered in a super-super... super-enhanced version of 'spiritual resurgence' in this territory.
However, because the level and scope affected by this 'revival of spiritual energy' is too profound and too huge, it is so huge that it covers all the past and present events in all walks of life, all realms, all universes, all levels, all time and space, all dimensions, all worlds. All things, all things, all phenomena and all things are present.
Therefore, all intelligent beings in this territory are unaware of any changes or changes.
They will only think that all the conditions and scenery of this world from ancient times to the present have always been like this and never changed.
Still the same sentence.
Once the gap between the two parties is too huge, even the most distant emotion of "longing" will not be born.
In addition to these mathematical realms, Mu Cang also successively reached numerous infinite mathematical universes of various kinds.
Some of these universes have no owners, and some have owners.
There is no need to talk about the ownerless ones.
If the axiom system itself is incomplete, it will be completely developed again after Mu Cangtu passes by.
If it is already healthy, it will be restored to the same state as before.
But if it has an owner.
Then no matter how many Xuan Palms are in it, no matter the strength or Xuan Marrow of these Xuan Palms--\u003e\u003e
at what world cardinality level.
They will fall from the ‘Supreme Throne’ the moment Mu Cang arrives, and deteriorate miserably into pseudo palms with damaged core endowments.
At the same time, if some of the palm masters have a higher Xuan Marrow level than Mu Cang.
Then everything they have, including strength and memory, will be completely stripped away by Mu Cang.
Wait... Isn't [Seeing and I Get] unable to quickly replicate the strength level corresponding to the large cardinality axiom?
Ha, [Seeing and I Get] is indeed not possible, but this does not mean that [Wu Jue Mi Ce] is not possible. For the skill effect of [Wu Jue Mi Ce], please refer to Chapter 684.
Under the heaven-defying power of [Wu Jue Mi Ce], nothing is impossible.
Of course, all these are just trivial matters and will not attract much attention from Mu Cang.
His goal has always been clear, which is to cross the digital logic territories one by one until he reaches the place where the governor of the frontier, [Chaos Dream], is located.
As for the cross-border ‘path’ and the ‘direction’ of advancement, these are not so important under the power of [Infinite Secret Strategy].
Although in this huge community of territories, the so-called [Creation and Destruction Network] that connects the digital logic territories of all parties can be said to be extremely complex and difficult, so complex and difficult that it requires various ‘prior keys’ and ‘superclass instructions’, which can be stacked and embedded in each other before they can be used.
But for Mu Cang, who possesses the heaven-defying skill [Infinite Secret Strategy], as long as he has the idea of reaching a place he wants to reach, no matter where this place is, he will never go wrong or have no way to enter.
As for the destination of this journey, that is, the area where the governor of this territory community is located, Mu Cang has already learned from the memories of the fallen Xuan Zhang that it is a... Grothendieck universe.
The so-called Grothendieck universe is roughly an abstract concept used to formalize certain mathematical theories in set theory.
In algebraic geometry, the Grothendieck universe is a class that satisfies certain axioms.
To be more specific, it is a class that is closed under the ZF operation.
In fact, in the ZF system, a very large class can be constructed, which can be called the universe of all sets - V, and this V contains all possible sets. The Grothendieck universe is a subclass of this "universe" - U.
Note that the "universe" V mentioned here is not the same concept as the von Neumann universal universe V.
Then, if we express it in a mathematical form, we assume that κ is a strongly inaccessible cardinality, then Vκ is the Grothendieck universe, and Vκ is also a transfer model of ZF and ZFC.
Conversely, if U is a Grothendieck universe, then its cardinality U is a strongly inaccessible cardinality, and UVκ, and κU in it.
Therefore, the Grothendieck universe is equivalent to a strongly inaccessible cardinality.
If it is reflected in the physical world, it can be considered that the scale and magnitude of the Grothendieck universe itself are equal to the unbounded closed set of inaccessible cardinality.
Therefore, an inaccessible cardinality-level structure can be constructed on any high-order ordinal type within the Grothendieck universe.
If a concrete correspondence is made, it can be considered that there may be countless inaccessible cardinality-level things, phenomena, and even life forms in the many high-order ordinal domains within the Grothendieck universe.
In short, the Grothendieck universe itself naturally has a strongly inaccessible cardinality structure and contains a strongly inaccessible cardinality-level existence.
However, it is not so easy to cross many logical territories and truly reach the only Grothendieck universe in this vast community.
As the governor, the lord of the community must have a large number of guards to surround and guard the Grothendieck universe where he lives.
Perhaps all the guards combined are not as powerful as the governor, but this is a necessary ceremonial and cannot be absent.
This is indeed the case.
Mu Cang saw in the memories of the three fallen Xuanzhang that the governor named "Chaos Realm Floating Dream" did place an infinite number of world cardinality-level Xuanzhangs in the many set theory universes, de-specialized universes, complex universes, Vlogic logic multiverses and other logical territories "around" the Grothendieck universe where he lived, to serve as guards.
However, these world cardinality-level scum can only be regarded as "image projects" at best.
The real guard force of the Chaos Realm Dream is the boundless multiple weak unreachable cardinality-level ‘native’ life forms existing in the various levels of high-order sequence domains in his ‘Governor’s Mansion’, as well as an unknown number of strong unreachable cardinality-level ‘general soldiers’.
Unless a Malo cardinality-level Xuan Zhang who has completely surpassed the unreachable cardinality level personally takes action, otherwise, even if ordinary unreachable cardinality-level Xuan Zhangs descend in groups, they will definitely not be able to break through the heavy guard formations that can be called natural barriers if they cannot quickly obtain the highest dominance of the Grothendieck cosmic background axiom system.
However, Mu Cang only commented on these:
“Just a bunch of chickens and pottery dogs.”
Under the blessing of the heaven-defying power of [Infinite Secret Strategy], His deep gaze was like substance. He immediately ignored his own strength level and penetrated through the digital logic territories, crossed the layers of destruction and destruction network roads, and looked at the Grothendieck universe that was located somewhere unknown.
And when Mu Cang saw the Grothendieck universe that was so huge that it could not be accurately described in any natural language across countless territories and countless network roads.
His life essence and strength level, under the power of [Infinite Secret Strategy], suddenly jumped from the world cardinality level to the real...strong unreachable cardinality level without any process.
And it was not that Mu Cang obtained the strong unreachable cardinality axiom logic configuration out of thin air, and then became the so-called strong unreachable cardinality level Xuan Zhang after completing the body reconstruction--\u003e\u003e
transformation and sublimation.
But He himself, the self, the subject, truly reached the strong unreachable cardinality level.
From the beginning to the end, Mu Cang's profound essence was still at the world cardinality level, without any change at all.
So, at this moment, Mu Cang has become the only strong cardinality-level life of the non-master or undetermined type in the entire super-class field.
He is equivalent to establishing his own clan.
What is even more amazing is that even now Mu Cang has completely lost the "Universal Principle", the master's component.
Under the heaven-defying effect of the [Infinite Secret Strategy], the so-called "The strength of the large cardinality axiom can be regarded as zero when comparing across systems" will have no effect on him.
From now on, no matter which territory, no matter how incomplete, strange, or weird the background axiom system of that territory is, Mu Cang's strong cardinality-level power will not be affected in any way.
"Unreachable cardinality..."
Mu Cang carefully experienced the unreachable cardinality-level power in his body, which was so great that it could not be described by the word "great and magnificent". He chuckled and said, "This power finally looks like something."
At this moment, his perception and power actually followed the dense and intricate network of creation and destruction that connected all the areas of the entire territory community.
Suddenly, it covered all the set theory multiverses, von Neumann universes, Gödel constructible universes, despecialized universes, complex universes, Vlogic logic multiverses, and various incomplete axiom system universes in this community, and even the only Grothendieck universe?.
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