The Star Forger's withdrawal was like a silent death knell, striking the core of Mis's will.

The Metal Codex shrank back to the edge of the battle disk, and the battle between the Mist God and the Beast King of Extinction was also put into a stalemate due to that strange vacuum.

No, to be more precise, all the saints were watching in order to prepare for their own future games.

Thus, at this moment, only Miss remained at the center of the battlefield, along with that "descriptive vacuum" that was slowly but steadily dissolving everything.

"I never expected you to go this far, but did you think you could trap me like this?"

Miss's voice no longer carried anger, but only a cold, metallic quality.

There's even a hint of... relief in this texture?

It was as if he had finally found a reason to reveal his hand.

The ordinal tree of ω_ω begins to wither.

No, it's not withering, it's collapsing.

The dazzling tree of light, representing an infinite number of levels, seemed to have its crown squeezed by an invisible giant hand, compressed and condensed from top to bottom.

Billions of ordinal chains emitted mournful bursts of light, colliding and annihilating each other in compression, giving birth to even more complex ordinal structures.

But this compression is not a path to destruction, but rather a transformation.

Deep within the core of Mis, a "lock" that had been sealed away for so long was opened.

That was the last line of defense he prepared for himself when facing the progenitor, and also the next level in the divine order system, beyond countable infinity (ℵ₀).

Second order, continuum potential (ℵ₁, Aleph-1).

If the first order "countable infinite" represents an infinite number of "enumerable" numbers—like the sequence of natural numbers (1, 2, 3, ...), which is infinite but always has a "next" number.

Then the second position, "continuous potential," represents the truly "continuous" infinity that is "uncountable."

It is the cardinality of the set of real numbers, the number of all points on a straight line, and a "continuum" in the true sense.

In mathematics, the famous "continuum hypothesis" lies between countably infinite (ℵ₀) and the continuum (ℵ₁).

That is, it is assumed that there is no other infinite set of potentials between these two.

However, under the rules of the divine order, this assumption is forcibly "established" as an axiom, resulting in an absolute and insurmountable "hierarchical gap" between ℵ₀ and ℵ₁.

At this moment, Mis is crossing this chasm.

The collapse of the ordinal tree reached its limit, eventually coalescing into a single point.

A more abstract existence than a "point", a singularity of "potential".

Then, it erupted.

There was no light, no sound, no ripples.

There is only one absolute change in "density".

Centered on Mis, the rules of the battle board, "texture," began to undergo a fundamental change.

The originally discrete, divisible regular units suddenly became "continuous".

Just as pixel images suddenly become vector graphics, reality, originally pieced together from countless tiny fragments of rules, begins to "melt" and flow, becoming a true "continuum."

This series first collided with Lo Kunlun's "descriptive vacuum".

The expansion of the vacuum came to an abrupt halt.

No, it's not that it stopped, but rather that it encountered something "that cannot be resolved".

The essence of "descriptive vacuum" is to dissolve all "describable" structures.

Its power lies in the fact that any attempt to describe it will have its "descriptiveness" devoured by it.

However, the continuum potential (ℵ₁) represents a fundamental "incountability" and "continuity".

It is itself another form of existence that "transcends describability".

It is not that it "cannot be described", but rather that it "cannot be fully captured by any descriptive system based on countably infinite (ℵ₀) levels".

Just as you cannot use natural numbers to "count" the number of real numbers, you also cannot use "descriptive logic" based on the ℵ₀ level to truly describe the continuum at the ℵ₁ level.

The dissolving power of the vacuum collided with this continuous domain of rules, just as water collided with the more refined and fundamental "primordial water." The two forces began to permeate and entangle with each other, but neither could completely "solve" the other.

A vacuum cannot dissolve a continuum because the continuum's "unenumerability" itself avoids the "descriptive" trap.

The continuum cannot assimilate the vacuum, because the vacuum rejects all "structured" approaches.

Between the two, a strange "stalemate zone" appeared.

The rules there are neither ordered nor nothingness, but rather an ineffable "continuous chaos".

This is the second order, the trump card that Mis came up with over hundreds of millions of years to deal with the progenitor.

At this moment, deep within Luo Kunlun's soul, the information structure was frantically reorganizing and adapting.

The continuum... is not a higher level of infinity, but rather another texture of 'infinity'...

Mies's figure re-coalesced at the center of the continuum, but it was different from before.

At this moment, he no longer radiated ordinal light, but rather a sense of "peace".

It's like the calm that college students feel after finishing their last exam.

Everything has settled down.

The previous countable infinity (ℵ₀) is the infinity of the 'sequence' and the infinity of the 'level'.

The other party can use paradoxes to subvert the sequence and self-reference to deconstruct the hierarchy.

But the continuum (ℵ₁) is an infinite continuum of 'continuum'.

It has no 'next', only 'in between'. Therefore, it cannot be countered by 'disrupting the order', because it itself does not have an 'order' that you can understand.

That vacuum can dissolve 'description' and devour 'structure'. But can it dissolve 'continuity itself'? Can it devour 'the infinite intermediate states between existences'?

With the power of the continuous potential, it can completely penetrate into every "gap" and every "possible intermediate state" at the boundary between the vacuum and the continuous domain.

The vacuum did not dissipate, but rather, like an insect trapped in amber, it maintained a rigid "existence" within the continuum.

But Miss knew it was only a matter of time.

At that time, the vacuum will be diluted into a single, ordinary ripple in an infinite continuity.

In short, this most troublesome opponent has been dealt with.

"Next, it's your turn."

Now that the biggest opponent has been dealt with, the rest are naturally not a concern.

Although he didn't know what he would encounter after the battle ended, for the time being, he could only grit his teeth and move forward.

there's always a solution to any problem.

Anyway, I took this opportunity to finally complete the experiment on the second order.

Using it to fight against the progenitor... perhaps, I can really use this battle platform to leap to become the true progenitor.

But, at that moment...

An anomaly has occurred.

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