Enter the Immortal Cultivation

"Although Turing has used the metaphor of 'the instrument of the Great Dao' to refute the omnipotence of 'the Holy Sound of the Great Dao', it is strange to bring up this metaphor here. However, today, I still want to say - we can still believe that one day we can face the Great Dao and listen to the true sound."

"If someone condemns us for our arrogance, if someone orders us to fulfill our human obligations and give up the pursuit of the immortal way, if someone asks us why we must stubbornly insist on the frozen glacier, and no one except our fellow Daoists can survive here, then we can stand up and respond loudly - for the longevity of our Dao!"

Wang Qi ended this lecture in an impassioned tone.

Still no one applauded. However, many people are still immersed in Wang Qi's speech just now.

If incompleteness and undecidability are the destruction of the original system, then Wang Qi's speech is a reconstruction on top of the destruction.

He proposed that under the dual restrictions of "incompleteness" and "undecidability", there is still a possible direction for Shenzhou Mathematics to break through, and attached detailed ideas.

After destroying the confidence of the Wanfa Sect, he told the other monks of the Wanfa Sect which direction they should work towards and how mathematics should develop next.

Everyone can express their opinions on "development" based on their own insights. However, not everyone's views can be widely recognized. If you say it out but no one agrees, it will be a laughing stock.

The last person who did this and succeeded was the master of mathematics, Xi Boche. The existence of Ximen's twenty-three questions reversed the tendency of the entire Wanfa Sect. When the master of mathematics dominated the world, the trend of "always mentioning topology" in the Wanfa Sect gradually disappeared, but more and more monks believed that set theory built the foundation of mathematics. Li Zong gradually reversed the disadvantage brought by the master of mathematics and overwhelmed Li Zong in the debate.

Several mature monks subconsciously wanted to scold Wang Qi and asked "Why" or "Are you worthy of it". However. Before they opened their mouths, they were shocked to realize that no one else around them spoke.

The field that Wang Qi just mentioned started from the foundation of mathematics and went deep into all aspects of mathematics. In the field of mathematical foundations, no one can compete with him.

——The Master of Calculation sincerely believes that the foundation of mathematics is super-logical. It is unstudyable. He does not want to study this area. He also disdains to study set theory. And the Master of Calculation... was just beaten to dust by this young man!

——Feng Luoyi, the national player of Cangsheng, and Turing Zhenren may be able to keep pace with Wang Qi in this regard, but they will never stand up to oppose at this time.

No one dared to respond!

And many monks of the Gating Sect once again showed a complex look mixed with resentment and gratitude.

Wang Qi really left the sect. In the summary of this sermon, he really showed some shadows of the Gating Sect.

"The Master of Calculation's Gating Sect" is destined to end. Gating Zhai will most likely be handed over to He Wail, a mathematician of the Lianzong. However, the efforts made by the Gating Sect during the era led by the Master of Calculation. After all, it is still continuing in another way.

Although they don't want it to be this way at all.

He Waier's idea was different from that of his fellow disciples.

"From the idea of ​​Li Zong, reorganize the entire known part, and then based on this known part of "no problem found"... He clearly destroyed Li Zong's confidence with his own hands, but still insisted on the path of Li Zong?"

It is impossible to cram all the ideas of the Bourbaki school into a sermon of less than an hour. Wang Qi really only talked about a general direction. Therefore, now only a very small number of mathematicians can see the strict system in Wang Qi's directions.

——I didn't expect that this guy is a firm believer in Li Zong?

"In the past. We were looking for the way in the dark. But now, we know that there is a cliff in this darkness. The finite is on this side, and the infinite is on the other side. From then on, we know that we must be careful of the barrier between the finite and the infinite." Feng Luoyi's words announced the end of this sermon.

The first to leave were the Shaoli faction headed by Suanjun. Then, figures disappeared one after another in the entire venue, and soon, there were only a few people left out of the original crowd.

In addition to Wang Qi, Fa Li, and Master Turing, only Master Xi Bo Che and several core members of the Ge Ting Sect remained here.

At this time, Master Xi Bo Che, who had never said a word, finally stood up.

Feng Luoyi clenched his fist unconsciously. He finally felt a little nervous.

It would not be surprising if Master Xi Bo Che died suddenly now.

The loss of Dao Heart means a change in thinking. For high-level cultivators whose thinking and magic power have been fully integrated, this means that the magic power is not running smoothly.

This is the danger of death!

It would not be surprising if Master Xi Bo Che died suddenly.

Wang Qi watched the respectable old man walk step by step to his front, and swallowed his saliva.

After walking to Wang Qi's side. Master Xi Bo Che raised his hand. This action seemed to have used up all his strength and was extremely difficult to do.

This is the illusion of all immortals, and what supports the movement of the "body" is the consciousness in the heart. If you can't move your body, it means that your thoughts can't be reflected in the illusion of the Ten Thousand Immortals.

The master's consciousness has become confused.

Suddenly, the old man trembled and his movements became smooth. He gently placed his hand on Wang Qi's shoulder and praised in a low voice: "Well done... Well done..."

Unexpected praise.

"Teacher, how are you doing now?" Several disciples asked with concern on the wall.

Xibai Che touched his chest and smiled bitterly: "My Taoist heart... I guess I have lost my mind. I really can't accept incomplete and undecidable truths, but I can't deny them either. There is a huge conflict between cognition and belief. …The Taoist mind is gone.”

"Teacher..." Everyone in the Geting Sect lowered their heads.

Although they had been mentally prepared for this day, they also knew that this was the best outcome. However, when a generation of talents and the leader of the Songting sect really lost their Taoist heart. They still felt extremely sad.

"No one can blame me." Xi Boche shook his head: "It's probably my own fault for being too dull."

Immediately afterwards, Xibaiche turned to Wang Qi again and said, "I have to say, you did a good job, kid."

Wang Qi's tone couldn't help but feel a little more depressed: "Without the efforts of seniors and everyone in the Geting Sect, even the juniors would not be able to achieve this level of achievement..."

Xi Boche shook his head: "Not only your incompleteness and undecidability, but also the speech you just gave - very good."

On earth, the Bourbaki school inherited some of Hilbert’s ideals, formalized known arithmetic, and went the furthest in this regard.

Even the master Xi Boche also saw this.

"I originally thought that leaving the sect would be over after this incident. However, since you are here, there is nothing to worry about."

Feng Luoyi sighed and asked, "Master Ximen, what are your plans for the future?"

"I don't intend to give up the path of formalization for the time being, at least to formalize the known parts. As for the rest..." The calculation master smiled and said: "Yuehan, my Taoist heart is newly lost, and my strength is about 10% of the original. Xihai The Dragon King probably won't be able to defeat him, but suppressing one side of the monsters won't be a problem. "

After dealing with all the trivial matters caused by this incompleteness. It’s also time to settle the accounts with the Dragon Rebellion, Sirens, and Ancient Fa Xiu.

All threats on this planet must be eradicated in this battle!

"Very good." Lord Suan nodded, glanced at Wang Qi again, and said with a smile, "No need to feel guilty. My heart is broken, and you have no subjective malice. It is completely different from what Lord Suan did back then."

After saying this, the master left.

The splendid illusion has lost its color and turned into black and white. The transformation of yin and yang. Wang Qi, Feng Luoyi, and Master Turing stood facing each other.

"It will eventually come to an end..."

Feng Luoyi shook his head and disappeared.

"There is no banquet that lasts forever." Turing also showed a sad expression: "How will mathematics develop in the future..."

"The foundation of arithmetic has only one final glory left." Wang Qi also lamented: "Suanjun will regain his power, because in the future, the ability of low-dimensional topology will become more and more important..."

have to say. In mathematics, there is also the phenomenon of "one generation of patches and one generation of gods". Earlier, Tianyuan Style, Changtian Style, and Curve were everything. In the era of Suanjun, Lian Zong was in power, and geometry and topology were the mainstream. In the era of calculation, set theory was at its peak. Even now, Wang Qi has drawn a gap between the finite and the infinite, and set theory is still huge.

However, when the forcing method is thrown out, set theory will also come to an end. Perhaps only the "infinite" problem can still support this field.

In the future, the development of mathematics will move towards a field that is difficult for predecessors to understand. The Langlands Program will span algebra, geometry and group theory, triggering a new round of mathematical revolution.

Master Turing was a little curious: "You don't think much of the Songting sect?"

"The Geting Sect still has good things. However, the longevity of the 'form' is on the decline." Wang Qi thought.

In the thinking of the Bourbaki school, formalization is just a tool used to sort out the known parts of mathematics, and it is not an important thing. When this step is completed, formality is completely abandoned.

Master Turing put away his thoughts and asked Wang Qi: "I heard that Feng Luoyi also gave you a secret mission, asking you to take the opportunity to practice quietly for a while. During this period, you can sort yourself out in peace."

Wang Qi nodded and exited the Fantasy Land of Ten Thousand Immortals.

At this time, his communication records were almost full. Even with Jarvis in charge, it was a mess.

Wang Qi did not receive any spiritual messages. He just sent a unified reply to everyone, telling them that he would be in seclusion for a period of time. Then, he thought for a while and replied a few letters to Su Junyu and Chen Youjia alone.

"The next area may be a hot topic. Recursion theory is still in its infancy, and calculator theory always requires it, so it is valuable. Then, if the idea is biased towards Lian Zong, do low-dimensional topology, algebraic topology, and deviate from Zong Zong. Do abstract algebra…”

Su Junyu is his partner, and he can count on his efforts in revising and upgrading his own laws. As for Chen Youjia...do you still need a reason?

After doing all this, Wang Qi escaped from the illusion of ten thousand immortals and said to Mi: "Okay, senior sister, let's go."

Now, it's time to go overseas to collect that debt. (To be continued ~^~)

PS: Wang Qi's last speech is basically taken from the speech "The Future of Mathematics" by Weil, the soul of the Bourbaki school... Please don't delve into why Wang Qi was able to write down this kind of Wang Qi, because I want to create that level myself. I really can't do the speech...

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