From university academician to chief academician

"Learn and gain knowledge reserves." Since Ye Fei discovered the power of the system, he naturally attached great importance to the application of the system.

"Read the paper for one hour, and the task progress will be 2%."

“Reading books, reading papers, and listening to lectures are all learning.”

"Learning is a long process. You cannot quickly improve your knowledge base in a short time. You can only take things as they come."

"And now the priority is to do the mission."

"I just read the paper and found errors, so the progress of the task accelerated."

“This is when inspiration should burst out even more.”

"But going to arxiv to find errors in papers is better than going to Stack Exchange to discuss mathematics with others."

"This should improve mission progress faster."

After speaking, he opened the Stack Exchange website.

The Stack Exchange website is a global open website where many scholars in various fields ask and answer questions.

Ye Fei opened the mathematics section and saw that there were many questions on it. He browsed at will. When he saw interesting questions, he would answer them. When he saw interesting answers, he would also interact with them.

He found that by doing this, the task progress improved very quickly.

In just one hour, his mission progress increased by 5%.

"Huh?" Ye Fei suddenly clicked on a post: "Cantor's two mistakes in set theory?"

"Cantor's mistake?" Ye Fei said amusedly: "This person is so bold, isn't he afraid of being criticized for speaking big words?"

Cantor is Georg Cantor, the founder of set theory and the person who proposed the continuum hypothesis.

Set theory has been around for nearly a hundred years. At this time, someone jumped out and said that Cantor's set theory was wrong.

This is like someone saying that Einstein's theory of relativity is wrong.

If a celebrity's achievements in mathematics are close to or equivalent to Cantor's, others will think seriously about it.

If the difference in ability is too big, if he says that, anyone who sees this will want to criticize him.

Ye Feixin said: "Let's take a look first and then talk."

After speaking, he looked at the text.

[Analysis of Cantor's proof that the set of real numbers is uncountable and Cantor's theorem...]

"Huh?" Ye Fei suddenly frowned: "There seems to be a mistake!"

"No, it should be said that it is not an error in the Cantor set, but that he proposed the question very cleverly, leading to the continuum hypothesis."

"Here it is said that Cantor used the interval method and the diagonal method to prove that the set of real numbers is uncountable."

"In these two proofs proof by contradiction is used."

"And the uncountability of the set of real numbers is the continuum hypothesis."

"The failure of the continuum hypothesis to prove successful is naturally Cantor's fault."

"Hey..." Ye Fei said amusedly: "This person is really a thief, isn't this an inappropriate title rant!"

"Well..." Ye Fei pondered for a moment, and suddenly his eyes lit up: "It can be explained this way!"

"Although it cannot completely prove the continuum hypothesis, this idea may be able to solve some minor problems."

After saying that, Ye Fei left a message below.

[Proof: First prove, because for any x∈s, let (x)={x}, and x1≠x2...]

Beiliguo, MIT doctoral student dormitory!

A young man with yellow skin was looking at the computer screen with his chin propped up in boredom, waiting for someone to reply to his message.

The young man's name is Gao Fei, a native of Xia, and a doctorate from MIT.

His main research is not set theory, but recent research has touched on set theory.

Studying set theory naturally requires studying the continuum hypothesis.

So, two hours ago, he posted a post to Stack Exchange about the set of real numbers.

In order to attract traffic, he deliberately wrote that Cantor had errors in set theory. He often did this, and it worked repeatedly, attracting a large number of people every time.

Occasionally, I can attract a message from a certain big boss, which can make his research on mathematics suddenly enlightened.

His slender fingers slid the mouse scroll wheel and browsed the web page.

"Huh?" He suddenly stopped, straightened up, and looked intently.

"Using Russell's paradox to prove that the set of real numbers is uncountable?"

His eyes flashed, and he took the pen and paper beside him to calculate.

After a moment, he said excitedly: "That's it, but what he said is not perfect, it should still be like this."

He quickly left a message under Ye Fei's message.

[Thank you for your reply, which gave me inspiration, but I think I should make the following additions.

If x∈s holds, according to the requirements for the elements in s in equation (3)...

…

If xs, from s=φ(x), we get xφ(x)...】

Less than ten minutes after he sent it, he received a reply.

Gao Fei was surprised: "So fast?"

"It seems like he is just like me, sitting in front of the computer, looking forward to the answer!"

[Thank you for your addition, but I also want to add something below.

Regardless of whether x belongs to s, it leads to a contradiction...]

After reading it, Gao Fei smiled and said, "This is a good idea."

After speaking, he took the pen and paper to calculate again, thought for a moment and then replied to the other party.

After reading it, Ye Fei thought for a moment to reply.

The two of them were replying back and forth. They didn't know who the other was, but at this time they seemed to have found a spiritual connection.

Gao Fei was very excited. He hadn't met anyone who inspired him in mathematics for a long time.

"I wonder who the big boss is?" Gao Fei thought to himself. In his mind, he described a middle-aged man in his thirties or forties with a vague appearance. He didn't know whether he was a boy or a girl.

He is a genius. It is difficult to meet a genius like him at MIT, the world's number one university in science and engineering.

Therefore, in the past, almost no one among his peers could give him mathematical inspiration. Only those who had studied mathematics for many years would give him inspiration when discussing mathematics with him.

Therefore, Ye Fei was a middle-aged man in his mind at this time.

Ye Fei was also very excited. In this year of graduate school, he was probably the only one of his tutor's students who passed the postgraduate program, so his tutor was the most strict with him among all the students.

This year, he read a lot of documents.

Therefore, at this time, with the help of the system, his knowledge reserve was integrated and he burst out with countless inspirations.

After a long time, the two of them ended their conversation. Looking at the conversation that was written eloquently, Gao Fei copied down all the mathematics content.

He left a message to Ye Fei backstage, saying: "Let's pay attention to each other!"

It is difficult to meet someone who can communicate with him academically. If you meet such a person, you must get to know him. If you have any mathematical problems in the future, you can also discuss them.

Ye Fei: "ok!"

In order to increase his task by 50%, Ye Fei agreed to his proposal.

After that, the two paid attention to each other.