As we all know, in the ZFC background axioms and under the premise that the generalized continuum hypothesis is established, ?? is the cardinality of the ?? power set, and ?? is the cardinality of the ?? power set.
By analogy, we can continuously introduce ??,??,??...???...????...??????...??????????...etc.
and so on for infinite cardinal numbers.
If this continues, the analogy can be extended to the ?w base.
Under normal circumstances, if rough words are used to describe ?w, then it can be called... Aleph Infinite.
Of course, this title is not rigorous.
Because the nature of the suffix number of Aleph function?(x) is ordinal number, not cardinal number.
So strictly speaking, there has never been anything called Aleph Infinity, nor is there any such term as Aleph Alev Zero.
What really exists is ?w,?(w 1),?(w 2),?(w 3)...?(w_1),?(w_1 1),?(w_1 2),?(w_1 3), etc.
And so on.
If you really want to describe it in words, then you can just call it...Aleph Omega.
Therefore, since the three realms of Aleph are only corresponding to the level of the physical world, its overall scene is already so weird and abstract that it cannot be described with any things, words, or metaphors known to intellectual life.
It is described by the so-called supermorphic concept that has no clear meaning at all.
Then the Aleph-Omega (?w) realm that stands on the Aleph realm of endless layers such as ??,??,??,??,??,??...and so on,
What should it look like?
In this regard, Mu Cang could only say that it is... indescribable, and has no name or appearance.
Regarding the scene in the ?w realm, no matter how many finite numbers, infinite levels, or even the language and cognitive imagination of low-level, intermediate-level super-finite life forms, it is impossible to describe it in any meaningful way, or even to make any relatively vague description.
Analogical description.
Therefore, we can only use the word "indescribable" to roughly and vaguely describe the various scenes inside the ?w realm.
After arriving at this indescribable territory, Mu Cang did not waste any time.
He immediately activated [Ling Yue Feifu] and pulled the unknown Mr. W over from the air.
So in the boundless and endless indescribable, a majestic aura that was far beyond description in terms of grandeur or vastness appeared out of thin air and covered the boundless and mysterious surroundings around Mu Cang.
Wow——
Stimulated by this terrifying aura, Mu Cang's heaven-defying magical skill "See It, I Get It" was also activated at the right time.
Without any hindrance, his life level and power level were suddenly pushed from the ?? level to the most magnificent ?w level.
As a result, Mu Cang suddenly became a W-class high-level ultra-poor life form.
Obviously, the owner of this terrifying aura is the mysterious Mr. W.
And at the same moment when Mu Cang's transformation and sublimation ended, an extremely dim and almost dying sound of powerlessness erupted from the depths of the terrifying and twisted aura in front of him, resounding throughout the entire ?w field:
"You... who are you... no... wrong!"
This suspicious voice of Mr. W suddenly became angry:
"You...you actually...seized the power of Mr.?? and Mr.??...You...it turned out to be you...it was you who caused the cage to break...all because of you...ah
Ahhhhh!!”
After a burst of furious and desperate roaring, the voice from Mr. W stopped completely.
"died?"
Mu Cang's eyes flickered, his vision penetrated the layers of terrifying auras, and he suddenly saw a shapeless figure with holes and bruises all over his body.
Obviously, this broken divine figure must be Mr. W.
It's just that the other party now has no trace of fresh breath and is completely dead.
Seeing this situation, Mu Cang silently activated [Ling Yue Feifu].
Activating effect——
(Mr.?w is dead≠Mr.?w cannot respond to my inquiry)
Buzz——
In silence, the already dead Mr. W... suddenly stood up, looked at Mu Cang lifelessly, and said stiffly and stiffly:
"What, do you have anything to ask me?"
"Um."
Mu Cang nodded slightly, "I do have many questions that I need you to answer."
"Okay." The dead Mr. W said simply, "Then you can ask."
"I would like to know……"
Mu Cang asked in a deep voice, "Sir, sir, and your death, was it caused by the invasion of Kongyuan territory?"
"I don't know what the Kongyuan territory is, and I know nothing about the situation in foreign territories."
Mr. ?w said stiffly, "There is no invasion by foreign enemies in this territory."
"Is this so?"
Mu Cang said casually, "It seems that Lu Jiehui's invasion and seizure of Mr.??'s body was not discovered by you."
"No, we know about this."
Mr. ?w said calmly, "We know that there is an unknown creature that has usurped the authority of the ?? domain, but we don't know the specific name of the other party."
"Oh?!" Mu Cang frowned, "Then why do you just sit back and do nothing? Don't you care at all?"
"I don't care, don't worry about it."
Mr. ?w said, "Besides, I can't control it."
"Why?" Mu Cang asked, "Explain explain."
"As long as the corresponding authority and appropriate guardians exist in the corresponding domain, it is enough."
Mr. W said numbly, "As for who holds the power and who is the guardian, it is not that important."
"All right."
Mu Cang continued to ask, "So... who caused the death of you and your two younger brothers?"
Mr. W looked up at Him and said blankly: "Because...you."
"?"
"What does this have to do with me?"
Mu Cang shook his head and said, "When I see you and your two younger brothers, you are already dead."
"No, it's just because of you."
Mr. ?w stiffly said, "It's because you seized the pillar rights of the two important domains of ?? and ??, and you never stayed in the two domains after losing the title.
Therefore, serious problems occurred in the operation of the prison, which then allowed the ultimate prisoner to see the loopholes in the prison and wait for an opportunity to break out. This ultimately affected the stability of the authority of all parties and also affected the guardians of the various domains.
The existence of the country, as well as various domains..."
"Wait! Prisoner? Prison?"
Mu Cang said in surprise, "You mean... you are all jailers?! You are... guarding a prisoner?!"
"Yes." Mr. W nodded and admitted.
"Ouch!"
Mu Cang couldn't help shaking his head and laughing, "I didn't expect that this territory would have such a shocking secret... Hmm, territory? Wait a minute!"
As if thinking of something, Mu Cang asked again:
"I want to know, are your entire Aleph family...all jailers? Or...is the purpose of your Aleph family's existence just to guard a certain prisoner? Also, this territory where I am...
Could it be a prison?!"
"Yes."
Mr. ?w confirmed all Mu Cang's guesses, "This territory is essentially a prison, and the purpose of the birth and existence of our Aleph family is to guard this prison and to guard the ultimate prisoners in the prison.
"
"This so-called ultimate prisoner..."
Mu Cang asked in a deep voice, "Who is it?!"
"I have no idea."
Mr. ?w shook his head, "The purpose of our Aleph family is to guard prisons and guard prisoners. Apart from these, we know nothing."
"Wait a minute...created?!"
Mu Cang's eyes flashed and he asked in a deep voice, "Who is your creator...?"
"A family of masters." Mr. W answered quite neatly, without any hesitation.
"Master? Ethnic group?"
Mu Cang thought deeply, "Has the master of the Tao... mastered the Tao? This name... feels very powerful."
"I don't know." Mr. W shook his head blankly.
"I do not know what it meant?"
Mu Cang asked, "As created beings, don't you know anything about your creator?"
"I don't understand."
Mr. ?w mechanically replied, "Our Aleph family has existed in this territory since its birth. The name "The Master Clan" and the order to guard this prison have also been written since our birth.
We don’t know anything other than the basic information at the core of our authority.”
"There is still information in the core of authority? Well, I really haven't noticed it, um... let me think about it."
Mu Cang pondered, "You just said that your Aleph family was created by the Taoist family, and your duty, or the meaning of your existence, is to guard the so-called ultimate prisoner. Then can I guess,
This ultimate prisoner...maybe he is a Taoist?"
Regarding Mu Cang's guess, Mr. W shook his head:
"I have no idea."
"What a waste. He doesn't know anything when asked."
Mu Cang sneered, then Mo Bian stroked his chin and guessed, "Then I guess your role... should be to serve as fulcrums, using the entire territory as the base, to support the so-called prison and ensure its stability.
Exists and operates, right?"
"Yes." Mr. W nodded stiffly.
"I guess……"
Mu Cang continued, "Under normal circumstances, you can only stay in your own field and cannot visit everywhere.
Because once this happens, it will cause the so-called authority to deviate from its proper position, and then lead to operational loopholes in the so-called prison, right?"
"Yes." Mr. W nodded again.
"Okay, then I understand."
Mu Cang nodded, then smiled sarcastically, "So in a sense... you are also prisoners, right?"
"It's..." Mr. W obviously paused for a moment, but finally nodded hard.
"Very well, then one last question."
Mu Cang asked leisurely, "Where is the ultimate prisoner at this moment?"
"have no idea."
Mr. ?w said blankly, "The moment He escaped from?'s prison, there were endless layers of ?realms that collapsed or were severely damaged, so...it is impossible for any ?family members to know its exact location."
"I see."
Mu Cang nodded, "So you can disappear."
After saying this, he waved his hand and turned Mr. W, who had been dead for a long time, into endless nothingness.
Then, He activated [Ling Yue Fei Fu].
Activating effect——
(I don’t know where the Ultimate Prisoner is≠I can’t teleport to the Ultimate Prisoner)
Buzz——
Mu Cang's transmission seemed to have opened some kind of taboo door, and suddenly the entire ?w realm was shattered in an invisible and unknown violent shock...
boom!!!
Just for a moment.
All the indescribable things, indescribable spirits, indescribable sights, indescribable principles that exist and spread throughout this extreme realm... In short, everything suddenly disappeared into nothingness, as if it had never existed.
.
And in this terrifying destruction that could be called supreme shattering, Mu Cang also silently disappeared.
…
On top of the abstract mathematical concept ?w cardinal number corresponding to the entire entity Aleph-Omega field, the higher-order cardinal number that exists is ?(w 1).
Therefore, under the premise that the generalized continuum hypothesis is established, the relationship between these two cardinal numbers can be expressed in mathematical language, that is, ?(w 1) is the cardinal number of ?w power set, and ?w power set twice is?(w 2
), the power set is cubic? (w 3).
If this analogy continues in a circular manner, then the upper bound of this sequence of continuous power sets taking the base is ?(w w), or can be written as... ?(w·2).
Therefore, you can continue along a new path through ?(w·3), ?(w·4), ?(w·5)... and finally reach the upper bound of this sequence - ?(w2) cardinal number.
Then continue along another new path through ?(w3), ?(w?), ?(w?)... and finally reach the upper bound of this sequence - ?(w^w) base.
Then it continues along a new path through ?(), ?(), ?()... and finally reaches an extremely distant cardinal level - ?(e?).
Now that we have ?(e?), we can naturally deduce ?(e?), ?(e?), ?(e?), ?(e?)... and finally reach the upper bound of this order——?
(ew) Cardinality.
The place where Mu Cang arrived via [Ling Yue Feifu] this time is... the base number? (eeew), the corresponding entity layer - Aleph-Epsilon Epsilon Epsilon
Long-Omega Realm.
After arriving in this strange realm that cannot even be described with the word "indescribable", "See It, I Get It" once again activated independently under some unknown stimulation from the outside world, out of thin air Mu Cang's
The life level and strength level were quickly advanced to the base level? (eeew) without any process.
At the same time, a crazy Jie laughter also appeared in Mu Cang's perception:
"Hahahaha, here comes another unknown person? Counting ants, tell me, how do you want to die?!"
"What a loud tone!"
Mu Cang sneered and asked, "Are you the ultimate prisoner locked up on death row?"
"What a bad name!"
The crazy man said with an evil voice, "Remember, I am... the one in charge - Master Yun!"
