Exploring Immortality Cultivation-Chapter 318 - 72: Breakthrough Again

Wang Qi extended his pen and drew his sword.

Mo Zhenzhen felt that this was simply magical. A sword qi shot from a pen? How on earth was that achieved?

Laymen watch the excitement; experts watch the technique. In Mo Zhenzhen's view, Wang Qi's act of stabbing with the pen to emit pure sword qi was already astonishing, but two people saw something even deeper.

The moment Liu Yunxiang saw this sword move, his eyes lit up.

What kind of sword stroke was this? It was clearly the simplest of thrusts, but, but it felt so complex, so... profound!

This sword stroke seemed to draw from number theory, yet the martial arts derived from number theory all seek extreme simplicity and despise change. This sword stroke was clearly gathering endless variations. Despite the multitude of changes, they were not complicated or chaotic, but illustrated the simplest truths.

Just like 1+1=2, 1+2=3...

This sword stroke was a "proof," the equivalent of "validity" in mathematics.

Different perceptions for different minds. Faced with the same sword stroke, Liu Yunxiang saw "validity," while Chen Feng saw "heart intent."

In Chen Feng's eyes, this sword light was dazzling, clearly the concentration of all a swordsman's heart power, the most radiant aspect of bewitching hearts.

"Is this his triumph? The joy of witnessing the Great Dao after long contemplation?" Chen Feng quickly understood. Wang Qi had dedicated his entire spirit to contemplation and only now had he arrived at a result.

Huangfu Lian and Li Yue did not possess Chen Feng's insight. They only vaguely felt that Wang Qi's sword stroke was not simple and they actually couldn't quite comprehend it.

But this made Li Yue even angrier.

Was this kid not just skilled at wielding a sword, at most mastering a somewhat advanced sword move? He dared... dared...

"Hmph." The Outer Disciple at the Foundation Establishment Stage snorted coldly and unleashed a slash of sword qi with her Chongyang Poem.

The two streams of sword qi collided, and then something even more incredible happened. The sword qi generated by Li Yue, with her Foundation Establishment Cultivation, disintegrated upon contact with Wang Qi's sword qi!

This was not a matter of strength. It was like a stick cleaving mercury, not because the stick was heavier than mercury, but because the stick was solid and mercury was liquid.

It was a matter of essence!

Li Yue had not expected that she would be unable to withstand Wang Qi's casual strike. However, she had no reason to shrink back, because that was also just a casual strike, which didn't prove anything. She raised her hand, readying her actual lethal moves.

But at that moment, Chen Feng stopped her. The look of an authentic Yangshen Pavilion disciple pierced through Wang Qi's physical body, illuminating his soul. In Chen Feng's view, Wang Qi's soul was undergoing a violent reorganization. This transformation of the soul would inevitably involve mana, allowing Wang Qi to ascend a level directly.

At this time, Wang Qi should not be disturbed.

However, Chen Feng looked around and realized that it seemed only he could neutralize this strike without affecting Wang Qi. So, he sighed inwardly, "Bad luck," and reached out to stop Li Yue, who was ready to deliver a heavy blow.

Then, a strange force radiated from within Chen Feng. This was the pure power of the soul, the "field" of the soul. Within this field, nature's spiritual energy rearranged itself, becoming thick and solid.

Nevertheless, when the sword qi touched this "Soul Power Shield Wall," Chen Feng realized he had underestimated Wang Qi.

His shield wall disintegrated just like Li Yue's sword qi!

Chen's Spiritual Sense and this shield wall were unified; when the sword qi collided with the shield wall, Chen Feng's Spiritual Sense observed the sword qi completely.

This qi was indeed the most basic of sword momentums, but this sword qi was "without contradiction." All the mana within was transformed into the power to slay enemies, with no internal loss! Even if there was, this internal loss was reduced to a level that Chen Feng could not detect! freёwebnoѵel.com

This was a terrifying thing because just as wasteful effort is inevitable, so is internal loss, but Wang Qi had cleaved out a perfect sword stroke!

If the Spirit Energy Wall was ineffective, then...

Chen Feng's eyes suddenly blazed with brilliance.

The eyes are the sensory organs closest to the brain, the parts most densely connected to the brain and filled with nerves. For a disciple of the Yangshen Pavilion, this is even more useful for casting than their hands.

A single white thread appeared out of nowhere, winding itself around the Sword Qi before lightly twisting. With a "bang," the white thread ignited like a spark hitting hot oil, and the upright sword transformed into a burst of White Flame. The Life Flame had absorbed the "order" of this Sword Qi, and thus, the Sword Qi could no longer maintain itself and dissipated on its own.

At that moment, Wang Qi sat back down. The papers around him fluttered towards the desk, stacking neatly in order. Then, Wang Qi began to write furiously.

The fluctuations of the Spiritual Energy surged several times stronger in an instant. This was a precursor to a Breakthrough.

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For ordinary people, 1+1 equals 2, with no special reason, nor a need for one. This is because they simply understand this system through intuition. Mathematicians seek to define it using a logical method, pondering why 1+1 should equal 2.

And the tool mathematicians use to study this problem is the Pianuo Axioms.

All the foundations of geometry lie within Euclid's Axioms. Euclid's Axioms, like the four fundamental forces, support the entirety of geometry.

Similarly, there's a parallel in the arithmetic system. Earth People refer to it as "Pianuo Axioms." The Pianuo Axioms reduce the entire arithmetic system to a system of five axioms, which support the entirety of that arithmetic system.

So, is this axiomatic system perfect? Is it strictly consistent? Is it free of contradictions?

The answer to all these questions is questionable. The third Mathematical Crisis was the issue of Set Theory, the more fundamental the area, the more it was the epicenter of the crisis. This was the second question among Hilbert's twenty-three problems: the consistency of the arithmetic axiomatic system—can the consistency of Euclidean geometry be reduced to the consistency of the arithmetic axioms?

Hilbert himself hoped to prove it with the proof-theoretic methods of the formalism plan, and Von Neumann continued in this direction.

Wang Qi intended to follow Von Neumann's approach.

The full deduction and organization of the arithmetic system is a big pit, but it's much simpler to prove the absence of contradiction for just one of its subsystems.

Of course, this is all relative. Only first-rate mathematicians had the qualifications to participate in Hilbert's Program. Wang Qi hadn't memorized this paper; he only knew the conclusion and the general direction.

This was a difficult contemplation.

The world shattered before his eyes, countless digits becoming a galaxy in front of him, twinkling yet out of reach.

Thinking is the flow of information, and this flow disturbed the Soul.

A galaxy also appeared in Wang Qi's Soul, a Tianhe made up of digits and operators.

Eliminate universal quantifiers... Introduce universal quantifiers... Eliminate existential quantifiers... Introduce existential quantifiers...

Each deduction accompanied a rise and fall of this galaxy.

And then, a tide of Mana emerged.

When Wang Qi thought and calculated, he always operated the Yao Ding Calculating Scripture. Mana passing through the Yin Yang Yao in the acupoints would carry out a binary judgment and complete binary calculations. This tide of Mana, emerging alongside the Soul, surged forward mightily along the cultivation route of the Yao Ding Calculating Scripture.

Every time this tide burst through an acupoint, swirling inside, a new Yin Yang Yao was produced.

However, Wang Qi's deduction ground to a halt.

He felt a clear bottleneck. A conclusion was right at hand, but why couldn't he articulate it?

Just then, a chaotic Spiritual Power entered. Wang Qi felt an irritation, wanting to slash with his sword and extinguish this annoying thing.

A sword to extinguish... a sword to extinguish... a sword... one...

Wang Qi thought of something.

Inspiration surged like a flood.

And with the inspiration came... power!