After listening to Wang Qi's words, Feng Luoyi fell into deep thought. After a while, he asked with a serious face: "Wang Qi, you honestly answer me a question -- 'The bigger and stronger the logical system, the more obvious the incompleteness in it', do you mean that? Do you have a new idea?"

Wang Qi instinctively wanted to nod, but then he snorted: "No, no, no, I just had a vague idea when I proved the first-order completeness - because I can only prove the first-order completeness now, so now I can think that everything outside the first order is incomplete." ”

It's better not to take out Gödel's incompleteness theorem until you understand it thoroughly. Throwing out something that you don't fully understand is a bit of a death.

Feng Luoyi frowned, and seemed to dislike this answer very much: "What do you rely on to know?

Wang Qi's first reaction was to sneer: "......Intuition? No, no, no, it's not intuition, it's my own, uh, it's not conjecture, it should be one of the goals of the next stage, starting with completeness. ”

The person in front of me doesn't seem to like the idea of intuition......

"Your habit is very bad, how can something that has not yet been proven be used as a known conclusion?" Feng Luoyi's expression softened slightly, he still reprimanded Wang Qi before asking, "Is there one?"

"I'm going to work on the law of big numbers with Senior Sister Bo, and then the junior has recently joined an empirical department, maybe I'm going to do arithmetic statistics and system theory. ”

"The law of large numbers is a good topic, and there should be a combination of statistics and the law of large numbers, but the topic of system theory is too big. Feng Luoyi criticized Wang Qi a few more words.

"Isn't it true that I'm outside the sect and have no goals?" Wang Qi said with a hippie smile: "To a cultivator like me, who is no different from casual cultivation, one lacks resources, the other lacks guidance, and there is no general direction, so I can only study what I see." ”

"Give two points of color and open a dyeing shop. Feng Luoyi said with a smile: "You don't pretend to be pitiful, then the paper you handed in yesterday is very good, the number of huàn and the number of citations will not be less, and after a month or two, you will be considered a rich man among the disciples in the Qi cultivation period." ”

Bo Xiaoya cheered: "Okay! Senior brother's current treatment always makes me feel like I let him in vain." ”

Feng Luoyi glanced at it again and said, "In addition, Lord Ximen has decided to give you a nomination - next January, the reward of the Dao Weapon." ”

"Next year, it turns out to be next year...... Wang Qi only expressed some surprise at the time, but he was not particularly surprised by the reward of the Dao weapon.

The status of the Taoist Instrument Award is roughly equivalent to the "Fields Medal" of the earth - that is, the "Nobel Prize in the field of mathematics".

However, the Fields Medal limits the age of the winners, and only awards young mathematicians under the age of forty. The same is true for the reward of the Dao Weapon, which is dedicated to rewarding young monks below the Yuan Shen period. It's just that the age of forty is almost the age when a mathematician makes achievements, and the monks of the Jindan period are far from the most brilliant time of their lives, so the academic status of the Taoist Instrument Award is slightly low.

Gödel's complete theorem makes sense to win a Fields Medal.

Feng Luoyi looked at Wang Qi: "It looks like you have a lot of confidence." But seriously, it's a bit difficult for you to win the Dao Weapon Reward. There will be a lot of opposition within the Wanfa Gate. ”

Bo Xiaoya was puzzled: "Senior brother is obviously very powerful, he is definitely the first person in his generation, and his brother is not as strong as him." ”

"It's a factional battle. ”

Bo Xiaoya was puzzled. The children of the Bo family will never understand such a thing as "fighting for power and profit". When other people's families were eager to kill the whole family for the position of the head of the family, the Bo family had already used the position of the head of the family as a burden, a stumbling block and dog shit and threw it away casually - Bo Yuehan hated his brother for the rest of his life because he was confused with dog shit by Bo Yage in his early years.

"This is a battle of avenues, a battle of ideas. Feng Luoyi looked at Bo Xiaoya again: "Little girl, Wang Qi and I still have some things to discuss, involving the door affairs of the Wanfa Gate - do you have anything else?"

Obviously, the latter question is not suitable for her. Although Bo Xiaoya was very puzzled, she still got up and saluted: "Since this is the case, the junior will retire first." ”

After Bo Xiaoya's figure disappeared, Feng Luoyi asked Wang Qi: "Do you know what the biggest ideological dispute is within Jinfa?"

"It should be a polemic between the Ethereal Palace and the Guiyi Alliance, right?" Wang Qi said: "Tai Yi Venerable and Quantum Venerable Master Yu Er Weizhuang discussed the sword three times, and then the Fluctuating Heavenly Monarch questioned the Ethereal Palace with the difficult problem of 'both life and death'......"

Feng Luoyi shook his head: "The people of the Dao are not allowed to be ruined because of helping the Demon Emperor, and the hearts of the people in the Ethereal Palace have been dispersed." But on the other hand, Tai Yizun encountered an unavoidable problem, and his theory was also in jeopardy. In short, this controversy has died down, and everyone is waiting for the final result. ”

"If you say 'in full swing', the internal ...... of Wanfamen" Wang Qi couldn't think of any other controversy that could be bigger than this series.

"You kid, it's like an ethereal palace or a subordinate of the One League. At the beginning, I helped Ethereal, and Lord Hemen helped to dwarf, but I and Lord Hemen were the same in arithmetic. Arithmetic is the avenue, and it can transcend the principle of heavenly transformation, understand" Feng Luoyi said helplessly: "Do you know that the ancient number family is divided into two sects, one is the Lianzong and the other is the Lizong. ”

Lian Zong believes that heaven and earth are one, and all things are continuous. The sectarians believe that heaven and earth are separated, like natural numbers, and there is nothing between one and two. ”

"The controversy between the ideas of Lianzong and Lizong actually runs through the entire history of the way of arithmetic, and today. Feng Luoyi pointed at himself: "I, Lord Ximen, are all representatives of today's sects, and you can also call 'we' the Logic School." Of course, in the eyes of many people, the current departure from the sect is the Song Garden. ”

Wang Qi's mouth was wide open, as if his jaw had been dislocated.

Wait, I seem to have overlooked something......

From the perspective of the history of the earth, the controversy between the sects and the sect was the controversy between "geometry and number", and then developed into the disagreement between Newton and Leibniz on "geometric intuition and algebraic abstraction", and then "intuitionism, structuralism, and logicism......

It's just that "intuitionism and structuralism" failed to fight after all, because when structuralism and logicism developed to compete with intuitionism, it was when Hilbert was in full swing, and then von Neumann also joined the side of logicism, but intuitionism happened to have no masters......

However, the intuitionist school of the earth is nothing more than "exactly no" masters, not "never". Henri Poincaré was born too young, not only missing out on the great leap in physics he had always dreamed of, but also missing out on rivals like Hilbert.

However, there is no problem of longevity in Shenzhou......

Wang Qi asked tremblingly, "Teacher Feng, could it be that the Lord of the Ximen is planning to lead you to have a fight with the Master of the Pang Sect?"

Feng Luoyi was surprised: "It's not 'us', it's 'us'." As soon as your paper is published, anyone will think of you as our way. ”

Wang Qi's eyes were dark, and he fell dangerously.

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1. Poincaré's life was a lonely life, and top mathematicians always liked to run into the field of physics to show that they had excess IQ, but Poincaré was in the era when the old physics had reached a bottleneck, and there was no good entry point. By the time Einstein triggered a new round of innovation, he was already dying of old age. In addition, he also missed out on opponents like Hilbert. What was the level of the second-ranked mathematician of his time? Klein was called "the god-like Klein" and "the god who stood above the clouds", and these nicknames were enough to communicate mathematics with Poincaré, and soon after, Klein had a nervous breakdown due to excessive brain burning, and he never got better Poincaré: I haven't used my strength, why did you fall?

2・Trolls in the comment area pay attention.,Recruit moderators、Deputy moderators add refinement alone、Delete posts or something.,It's so troublesome~

3. Ask for recommendation votes, QaQ rankings have been retreating, TaT himself