Attributes are infinitely increasing, I dominate multiple

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 the Tianzang Qionghuan Defense Line can't help but 'call' to scold Him.

Facts have proved that Mu Cang's strategy is extremely correct.

Sure enough.

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 Fu Meng community! What use are you, 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 into the depths of Hanks' 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 shotgun, and its scale and intensity soar, all the way to the sky.

And after experiencing the 'Great Shift' of direct flight to the high-level Hanks set theory multiverse, Mu Cang's life essence and strength level... to be precise, the ontology level and mystical 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 more magnificent and majestic Strong Malo base level.

That's right, after just 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 improved his essence 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, far more perfect than the master of the same level.

This is also the power of [Wujue 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 Necessity 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 [Infinite Secret Strategy].

Regardless of these, in short, after arriving at the high-level Hanks 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 was no option to settle.

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 Huo Ran off the supreme "throne" ".

So in an instant, those few masters who had enjoyed the immense power of the powerful 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". A tiny pseudo-palm that is far inferior to anything in the Yiman 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 reporting 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 characteristic upgrade route developed by Mu Cang.

He intends to advance all the way up through continuous "touching porcelain" to reach the next level.

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:

"Hello?! Are you seriously ill?! Are you confused?! Why do you want to break through your colleagues who backstab you? Are you crazy..."

There were no surprises.

Stimulated by this interrogation mixed with furious anger, the [Wujue 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--\u003e\u003e

Heavy boundaries, he descended out of thin air into the depths of a Vlogic multiverse with a super-Malloy axiomatic structure, and at the same time possessed all the strength, essence, memory, identity of another super-Malochian mysterious palm... everything all.

As for Vlogic's logical diversity, it can be roughly considered to belong 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.

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 ZFCψ.

Thus, by using any model theory technique that can extend the width of V, as well as appropriate consistency statements, a variety of external models M with specific characteristics can be obtained.

The Vlogic logical multiverse is the total set of all external models M of V.

Therefore, V logical multiplicity is much broader than the general true-like 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 diversity 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 Vlogic logic with him from the supreme throne, causing all his marrow and talents to be shattered. In an instant, he became a humble 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 this in the "Military Situation Urgent" and reported it.

So not long after, Mu Cang received another reprimand and accountability from his "superior" with a smile.

Buzz——

Sensing the malicious intent, the [Wujue Secret Strategy] was activated again, and Mu Cang was "teleported" out of thin air to the higher level of the "Yuanzhi Dome Ring Gathering", completely usurping and replacing the man who was still in the secret thread of the webway just now. A high-level leader who is arrogant and blaming others.

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] in Shuluo territory is completely surrounded and covered.

At this 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 Number, could be completely reduced to nothing.

He did.

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 those that exist within this huge dome ring, there are countless, endless and immeasurable Mysterious Palms of all levels and levels in the Maloki Number, all levels and levels of Mysterious Palms in the Unreachable Cardinal Level, and all levels and levels of Mysterious Palms in the World Cardinal Level. Xuanzhang, and even all ultra-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 easily get the attention of higher-level military figures.

Yes, this was the fundamental purpose behind Mu Cang's choice to obliterate this Yuanzhi Dome Ring.

Mu Cang believes that due to the loss of Xianyuan's communication with personnel at the upper and lower levels of a certain country's military defense line, it is too powerful an "obstruction" effect.

As long as a sufficiently significant combat area is destroyed, then there will be no need for him to carry out his boring teasing moves.

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, check it, check it carefully. After a while, you won't have a chance to check it."

While Mu Cang was joking and laughing, the power of perception, which was due to the loss of the narrow abyss, as if he was groping around like a spider minesweeper, 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 lower end of the Yanyi branch defense line. in the universe.

He started a new round of "confrontation".

Thus, with countless high-level masters of all levels and ranks falling from the throne and becoming ants, and the collapse of countless large cardinality universes and even larger hierarchical structures, Mu Cang's main body, mysterious essence, foundation, essence... and everything else also began to rise wildly and violently.

Weak compact cardinality

∏1, 0 indescribable cardinality

∏1, 10 indescribable cardinality

∏1, 100 indescribable cardinality

…

∏2, 0 indescribable cardinality

--\u003e\u003e

∏10, 0 indescribable cardinality

∏100, 0 indescribable cardinality

…

Finally, after a series of endless "touching porcelain".

Mu Cang finally reached the top of the Yanyi branch defense line and stopped at the so-called... [Completely indescribable cardinality] level.

This large cardinality belongs to the ultimate end of the boundless ocean of [the entire indescribable cardinality field].

But even this end is much larger than the entire indescribable ocean, infinite and immeasurable.

The so-called "indescribable" refers to the indescribable nature of this large cardinality.

The axiom definition and mathematical construction of this large cardinality are extremely complicated.

So, leaving aside those complex information, the indescribable cardinality can be roughly understood as a large cardinality axiom that can only be established without contradiction in the domain of second-order arithmetic.

As for the so-called several-order arithmetic, it is another extremely complex mathematical concept.

The "sub-concepts" related to this concept include predicates, logic, propositions, etc.

The relationship between them is that [logic] uses [predicates] to propose [propositions], and [arithmetic] is a special case of these three having arithmetic axioms.

In short, you only need to know that first-order arithmetic only refers to natural numbers, which is the quantification of entity [objects], such as 1, 2, 500, 10100, etc.

Second-order arithmetic refers to the properties of natural numbers, which is the quantification of abstract properties, such as odd numbers, even numbers, prime numbers, etc.

Third-order arithmetic, which is above these two, is a further quantification of the properties of already quantified properties.

Very abstract?

It is indeed very abstract.

So, is third-order arithmetic the end?

No, it is not.

In fact, through multiple exponentiation of the propositional domain corresponding to the quantifier domain, there can be fourth-order arithmetic, fifth-order arithmetic, sixth-order arithmetic, and even arbitrary-order arithmetic above third-order arithmetic.