Chapter 672 The final winner, stepping into the world(2/2)
At this time, Xiu raised his head and interrupted, "It just so happens that I am as lonely as Mr. Wolf. I also like to walk alone, so..."
"Fix it."
Cangtian Baquan calmly interrupted, "I remember you didn't say that when you were in the field of imaginary numbers."
"The past was before, and the present is now."
Xiu shrugged and chuckled, "People always have to make progress."
After that, he turned around and walked away in a direction, walking further and further away.
Seeing the two people leaving the team one after another, Cangtian Baquan finally couldn't hold himself any longer, and a look of murderous intent appeared on his face.
But in the end, he still didn't have an attack. He just turned to look at Yuan Zhoubeng and Coo, and his eyes became slightly colder.
"How about it?"
Cangtian Baquan said coldly, "Are you two going to go alone?"
Yuan Zhoubeng and Coo looked at each other, waved their hands quickly and said:
"No, no, no, no, we will listen to your arrangements, Ba Quan Lao Da."
"very good."
Cangtian Baquan nodded happily, "The so-called Xixi material Wei Junjie, can you two..."
Roar!!
Suddenly, a heaven-shattering roar boomed from the distance.
Then Cangtian Baquan and the other three were dumbfounded to see...
There was actually a huge dragon-shaped beast with three heads, six claws and red scales all over its body, which was dozens or hundreds of meters long and had four wings on its back. It roared and glided from the edge of the forest thousands of meters away, spraying water from its mouth while gliding.
A series of yin green poisonous lights, just like a poisonous version of Ghidorah.
And judging from its target, it seems to be the three of them.
"grass!!"
Cangtian Baquan gritted his teeth and roared, "I ran into this thing just after resurrecting. Why am I so unlucky?!"
After roaring, he completely ignored Yuan Zhoubeng and Coo, who were also stunned, and ran away in the distance.
The latter two also screamed and ran for their lives to the left and right after being stunned.
Therefore, after the rebirth of these five old friends of Mu Cang, their fates took different paths due to various reasons.
And Mu Cang, who had caused all of this, was already stationed in Aleph's second domain.
…
In the kingdom of mathematics, there are various ‘members’ of various shapes and forms.
Some 'members' are very big, and some 'members' are very small; some 'members' are very impatient, and some 'members' are slow; some 'members' are ugly and bloated, and some 'members' are tall.
Gorgeous.
The reason why they do not conflict with each other and the reason why they can cooperate without conflict is related to the territory in which they are located.
Different territories will have different natural environments, in other words, different...background axioms.
For example, the territory where Mu Cang is located is firmly ruled by the Axiom of Choice (AC) and the Axiom of ZF.
These two axioms are combined into one name, which is the ZFC axiom system.
Under the ZFC background axiom, the so-called power set can be considered to be the set of all subsets of a set.
Generally speaking, for a set with base n, the base of its power set is 2?.
2?, obviously larger than the cardinality n of the set.
It can be seen that the power set of any set must be greater than the power set of the set.
This is Cantor's theorem.
This theorem can also be generalized and established in the field of infinite sets.
For example, the base of the real number set 2^?? is larger than ??.
So by analogy, we can get the result that 2^?? is larger than ??, and 2^?? is a set larger than ??.
At the same time, the continuum hypothesis holds that there does not exist a set whose cardinality is greater than the countable set and less than the real number set.
And if this assumption is extended to the level of ??, that is, it is assumed that there is no other Aleph number between ?? and ??, that is, it is assumed that ??=2^??.
It can even be extended to a larger and wider range, that is, assuming ??=2^????.
Then this expanded continuum hypothesis is the generalized continuum hypothesis.
If this assumption is true, then ?? is the cardinality of the power set of the real number set.
It is equal to the total number of all functions defined in the real number field.
And because any function can be drawn as a curve, it can also be roughly regarded as the total set of all curves.
At the same time, because functions can be both continuous and discontinuous, the so-called corresponding to all curves refers to the total set of all curves that are either continuous or discontinuous.
As for the total set of all continuous curves corresponding to a single continuous function, it is??.
??The reason why it is the total number of continuous functions is because the sum and multiple of continuous functions are still continuous functions.
And because the set of continuous functions can form a ?-dimensional vector space, in theory, the entire Aleph Zero Domain, which is in its natural state and has not been interfered by the power of the Aleph family, will behave like an endless calamity sea.
The infinite dimensional state appears and stands in the vast world.
Therefore, when Mu Cang actually arrived at Aleph's second realm.
He sees everything in all directions and feels up, down, left and right.
It is a super-fluid dynamic, super-three-dimensional state, and super-finite dimensional state woven by countless roots that are either winding, smooth, intermittent, or intricate and exquisite.
The boundless and magnificent picture.
"It's so...beautiful."
Sighing, Mu Cang, who stood on the edge of everything that was unknown and unexisted, looked around.
I saw one piece after another, made up of strands of strands, big or small, bright or dark, endless and endlessly flickering, radiating all kinds of weird, beautiful, weird, or magical brilliance, gathered together and stacked up.
The vast ocean of curves.
These beautiful curves are like rivers of light, washing, intertwining, and rotating to form endless splendid mazes.
At the same time, in the vast mazes that were beating strangely like hearts, Mu Cang actually saw strange things that were as thick as ancient dragons, as light as silk, and as twisted as snakes in the abyss.
,
From these strange objects that looked like mutant Godzilla, he suddenly felt an extremely strong and fresh breath.
"so……"
Chapter completed!