In short, the overall style of the content of this urgent message is... How can it make people's blood pressure soar and make them furious? Mu Cang wrote it in such a way.
You must be so angry that the high-level leaders of Tianzang Qionghuan's defense line can't help but 'call' to scold Him.
Facts have proved that Mu Cang's strategy is extremely correct.
As expected.
Not long after this urgent news was uploaded, a high-ranking figure of Maloki level aggressively questioned Mu Cang through the governor's secret line:
"Huan Jie Fu Meng, you loser! You can't even defend a small Floating Dream Community! What use are you to, I..."
Stimulated by this surge of malicious intent from afar, the [Infinite Secret Strategy] was launched again without any surprise.
Buzz——
So in the blink of an eye, Mu Cang disappeared from the Floating Dream Community, and arrived out of thin air in the depths of a Hankins generalized multiverse with a Marlowe axiom structure that was extremely far away from this community.
This mathematical domain belongs to the category of set theory multiverse, and its overall structure contains all models of set theory axiom sets.
But interestingly, it cannot meet all the basic requirements of set theory.
In short, although the overall scale and intensity of this pure 'blank slate' set theory multiverse is far inferior to even the smallest large cardinal number - the world cardinal number.
But once a certain large cardinality axiom is possessed, the set theory multiverse can be replaced with a new one, and its scale and intensity soar, all the way to the outer reaches of the sky.
After experiencing the "Great Shift" of the high-level Hankins set theory multiverse, Mu Cang's life essence and strength level... to be precise, the ontology level and the marrow level, as well as other
Everything related or unrelated to these two has also undergone a huge leap of extremely terrifying magnitude——
That is, from the incredibly powerful and unreachable base level, it suddenly jumped to the even more magnificent and majestic strong Malo base level.
That's right, just by sending a "text message" and receiving a "phone call", Mu Cang effortlessly became a real powerful Maloki-level life form.
He, through the supreme power of [Infinite Secret Strategy], completely usurped the high-level leader who made rude remarks just now.
Taking away the opponent's strength, essence, memory, identity... in short, everything.
Moreover, Mu Cang not only upgraded his mysterious marrow and body, but also everything else, all of which had reached the level of Strong Malo.
So strictly speaking, the current Mu Cang is clearly a strong Maloki several levels of life that is far more perfect than the master of the same level.
This is also the power of [Infinite Secret Strategy] at work.
It 'delete' all the weaknesses that were not conducive to Mu Cang.
Especially in terms of perception.
After the great optimization of [Wujue Secret Strategy], Mu Cang no longer needs to be like those mysterious palms in the inevitable kingdom.
You have to rely on some kind of creation network or other super-technological products to allow your perception to cross the empty abyss of loss and reach more territories and communities.
Now, as long as Mu Cang's thinking and perception spreads and expands, he can easily jump over the nothingness represented by the lost abyss and suddenly descend into the territories and communities.
The inner principle of this is almost like a black box, and all of this is achieved purely by the power of [Wujue Secret Strategy].
Putting aside these, in short, after arriving at the high-level Hankins set theory multiverse equivalent to the "headquarters" of the Tianzang dome ring, and thoroughly digesting the "gift" of the unlucky Maloki level man, Mu Cang also
There is no option to settle down here.
Then, without hesitation, he used a sneak attack to knock down the other powerful Maloki-level Mysterious Palms who "shared" the highest dominance of the set theory multiverse background axiom system with Huo Ran, and kicked off the supreme "throne"
”.
So in an instant, those few masters who had enjoyed the immense power of Strong Maloki for endless years suddenly collapsed, their talents were shattered, they fell from the altar and were reduced to nothing more than a "blank slate".
It is a tiny pseudo-palm that is far inferior to the entire universe.
Suffering from this misfortune, these Taoist masters were naturally furious, so angry that their entire bodies and spirits almost exploded.
So they immediately dialed the secret line of the Internet and reported their tragic experience and Mu Cang's excessive behavior through an "urgent telegram" with added details.
What's surprising is that Mu Cang didn't have any intention to stop these masters from spreading the news, and he didn't even leave this high-level set theory universe. He just stayed quietly, waiting for his "superior"
Get angry.
Yes, this is the unique upgrade route developed by Mu Cang.
He intends to advance all the way to the next level through constant "touching porcelain".
Is there a more relaxing way in the world than this?
Of course not.
So why not do it.
The development of the situation was indeed as Mu Cang expected.
Not long after the unlucky fake palm complained, a "phone call" came to Him through the secret line of the Internet:
"Hey?! Are you seriously ill?! Are you confused?! Why do you want to break through and stab your colleagues in the back? Are you crazy..."
There were no surprises.
Stimulated by this interrogation mixed with furious anger, the [Infinite Secret Strategy] was immediately activated and the smiling Mu Cang was suddenly teleported away.
Buzz——
Then the next moment, Mu Cang crossed the layers of barriers and boundaries, and descended out of thin air into the depths of a V-logic logical multiverse with a super-Malloy axiom structure. At the same time, he possessed another super-Malloy level mystic.
Control all the strength, essence, memory, identity... everything.
As for V-logic logic pluralism, it can be roughly considered that it belongs to different expansion directions of the ZFC model.
The so-called V logic can be understood as an infinite logic with infinite length formulas and proofs.
This chapter is not over, please click on the next page to continue reading! In V-logic, if and only if M is an external model of V, it is guaranteed that many models M satisfy the consistency statement about ZFC ψ.
Thus, by using any model theory technique that can produce a width extension of V, as well as appropriate consistency statements, a variety of external models M with specific characteristics can be obtained.
The V-logic logical multiverse is the total set of all external models M of V.
Therefore, V logical multiplicity is much broader than the general true type universe, Gödel's constructable universe, the special complex universe and the complex complex universe, and covers a wider range of external structures.
However, compared with any real large cardinality, the "blank board" V logical plurality will still appear as small as dust.
"Hahaha, it's really cool to upgrade like this."
Mu Cang, who was at the top of all things in the V-logic multiverse, couldn't help but laugh and then repeated his previous backstabbing behavior towards his "colleagues".
He did not hesitate to kick the other leader who "shared" the high-level V-logic logic, plurality, principles and omnipotence with him from the Supreme Throne, causing his marrow and talents to be shattered.
, and in an instant he became a despicable fake palm.
Naturally, this unlucky master was not a vegetarian. After falling into a certain Aleph Number Realm, he immediately dialed the secret line of the network in a rage, just like the previous masters who had experienced the same experience.
Like the reporter, he also wrote all these and reported them in the "Military Situation Urgent".
So not long after, Mu Cang smiled and received another reprimand and accountability from his "superiors".
Buzz——
Sensing the malicious intent, the [Wujue Secret Strategy] was also activated again, "transporting" Mu Cang to the higher level of [Yuanzhi Dome Ring Gathering] out of thin air, completely usurping and replacing the man who was still in the secret line of the webway just now.
A high-level leader who is arrogant and blaming others.
And after taking away all the "property" of this Taoist master, Mu Cang's foundation, strength, essence, thinking, body, etc., suddenly broke through to the level of the Great Maloki.
Buzz——
Mu Cang, who possesses such majestic power, just used his thoughts and perceptions at this moment, and ignored the countless obstacles and restrictions, including countless boundless dome rings, endless territorial communities, and countless infinite
The entire [Yuanzhi Dome Ring Set] of the Shuluo territory is completely surrounded and covered.
At that moment, with just a thought from Mu Cang, the entire [Yuanzhi Dome Ring Set], which was so majestic in scale and intensity that it could only be roughly described using the great Malo Cardinal Numbers, could be completely reduced to nothing.
He did indeed do so.
Only it's not destruction, but... engulfment.
After covering the entire [Yuanzhi Dome Ring Collection] with his thoughts and perceptions, Mu Cang completely devoured it without any hesitation, leaving no residue behind.
As for the countless, endless, and immeasurable Mysterious Palms at all levels and levels of Maloki that exist within this huge dome ring, the Mysterious Palms at all levels and levels at the base level are inaccessible, and the Mysterious Palms at all levels and levels at the Cardinal level of the world are
Xuanzhang, and even all super-finite, infinite, and finite creatures that were weaker than the Great Cardinal Level, were all forcibly transformed by Mu Cang into his loyal people.
At the same time, the entire dome ring collapsed and disappeared, allowing Mu Cang to get the attention of higher-level military figures without any effort.
Yes, this is the fundamental purpose behind Mu Cang's choice to obliterate this Yuanzhi Dome Ring.
Mu Cang believes that due to the loss of communication between the people at the upper and lower levels of a certain country's military defense line, the "obstruction" effect of Xianyuan is too powerful.
As long as a sufficiently important combat area is destroyed, there will be no need for him to perform boring flirting actions in the future.
By then, someone from above will come to investigate the situation and clean up the mess.
And Mu Cang can take this opportunity to "touch porcelain" and upgrade again.
The subsequent development of events was indeed as expected by Mu Cang.
There are indeed traces of power far beyond the great Maloki, and with the help of some unknown super-type technology, they appeared out of thin air in the lost abyss where the Yuanzhi Dome Ring Set was originally located.
"Hehehe."
Standing in the vast and meaningless abyss, Mu Cang chuckled, "Are you going to find out the reason for the disappearance of the Qionghuanji? Check it out, check it out, check it out. After a while, you won't have the chance to check it out."
While Mu Cang was joking and laughing, the power of perception, which was due to the loss of the narrow abyss, was groping around like a spider minesweeper, and it immediately swept over and covered his whole body.
Buzz!!!
In an instant, the [Wujue Secret Strategy] was activated independently under the stimulation of a strong threat, teleporting Mu Cang out of thin air to the source of this exploratory force - a Tuoshu complex with a large cardinal axiom structure located at the bottom of the Yanyi branch defense line.
in the universe.
He started a new round of "confrontation".
Therefore, with the countless high-level Taoists at all levels falling from their thrones and becoming ants, and the collapse of the infinite number of large cardinal universes and even larger hierarchical structures, Mu Cang's main body, marrow, foundation, and essence
...and so on, it continued to rise all the way up and began to rise crazily and violently.
weak compact base
n1,0-indescribable cardinality
n1,10-indescribable cardinality
n1,100 - indescribable cardinality
…
n2,0-indescribable cardinality
n10,0-indescribable cardinality
n100,0-indescribable cardinality
…
Finally, after going through a series of endless "hits".
Mu Cang finally reached the top of Yanyi Branch's defense line, and stopped at the so-called... [completely indescribable base] level.
This large cardinal number belongs to the ultimate end of the boundless ocean [the entire field of indescribable cardinal numbers].
But even this end is infinitely larger and infinitely larger than the entire indescribable ocean.
The so-called "indescribable", as the name suggests, refers to the indescribable properties of this large cardinality.
The axiomatic definitions and mathematical structures of such large cardinal numbers are very complicated.
So putting aside those complicated information, the indescribable cardinality can be roughly understood as a large cardinality axiom that needs to be established in the domain of second-order arithmetic to be established without contradiction.
As for the so-called several-order arithmetic, it is another extremely complex mathematical concept.
"Sub-concepts" related to this concept include predicates, logic, propositions, etc.
The relationship between them is that [Logic] uses [Predicate] to propose [Propositions], and [Arithmetic] is a special case of these three that have axioms of arithmetic.
In short, you only need to know that first-order arithmetic only refers to natural numbers, which are the quantification of entities [objects], such as 1, 2,500, 10^100, etc.
Second-order arithmetic reference is the attribute of natural numbers, which is the quantification of abstract [properties], such as odd numbers, even numbers, prime numbers, etc.
The third-order arithmetic above these two further quantifies the attributes of the already quantified [properties].
Is it very abstract?
It's very abstract indeed.
So, is this the end of third-order arithmetic?
No, it's not.
In fact, through multiple exponentiations of the proposition domain corresponding to the quantifier domain, there can be fourth-order arithmetic, fifth-order arithmetic, sixth-order arithmetic, and even any-order arithmetic on top of third-order arithmetic.
