From a university student to a chief academician

Chapter 2 The Trans-Oceanic Dialogue Between Two Threats
"Learning, acquiring knowledge reserves." Since Ye Fei discovered the power of the system, he naturally attached importance to the application of the system.

"Read the paper for an hour, and the progress of the task is 2%."

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

"Learning is a long process. It is impossible to quickly improve the knowledge reserve in a short period of time. This can only be done with the situation."

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

"I just read the paper to find the mistakes, and the progress of the task was accelerated."

"At this time, there should be more inspiration."

"But go to arxiv to find paper errors, it is better to go to Stack Exchange and discuss mathematics with others."

"This should improve the progress of the mission 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 math section and saw that there were many questions on it. He browsed casually, and when he saw interesting questions, he would answer them, and when he saw interesting answers, he would interact with them.

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

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

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

"Kantor's mistake?" Ye Fei laughed: "This man is really bold, isn't he afraid of being sprayed if he speaks big?"

Cantor is Georg Cantor, the founder of set theory and the man 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.

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

If he is a famous person whose achievements in mathematics are close to or equal to Cantor's, others will think seriously.

If the difference in ability is too big, if you say something, anyone who sees it will want to spray him.

Ye Feixin said: "Let's have a look first."

After speaking, he looked at the text.

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

"Huh?" Ye Fei frowned suddenly: "This seems to be really wrong!"

"No, it should be said that it is not a mistake in Cantor's set, but that he proposed this question very cleverly, which leads to the continuum hypothesis."

"Here it is said that Cantor proved that the set of real numbers is uncountable using the interval nest method and the diagonal method."

"The method of proof by contradiction is used in both proofs."

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

"It is of course Cantor's fault that the continuum hypothesis did not prove successful."

"Hey..." Ye Fei laughed: "This person is really a chicken thief, isn't this an inappropriate headline!"

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

"Although the continuum hypothesis cannot be fully proved, this line of thinking may solve some small problems."

After speaking, Ye Fei left a message below.

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

Beiliguo, a dormitory for MIT doctoral students!
A yellow-skinned young man was staring at the computer screen with his chin propped up, waiting for someone to reply to his message.

The young man's name is Gao Fei, a native of Xia Guo, a doctor of MIT.

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

The study of set theory naturally requires the study of the continuum hypothesis.

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

In order to attract traffic, he deliberately wrote that Cantor made mistakes in set theory. He often did this, tried and tested, and attracted a large number of people every time.

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

His slender fingers slid the scroll wheel of the mouse, browsing the webpage.

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

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

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

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

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

【Thank you for your reply, let me find inspiration, but I think the following additions should be made.

If x∈s is established, according to the requirements of the elements in s in formula (3)...

……

If xs, get xφ(x) from s=φ(x)...]

It took him less than 10 minutes to get a reply.

Gao Fei was surprised: "So fast?"

"It seems that he is the same as me, standing in front of the computer, looking forward to the answer!"

[Thank you for your supplement, but I also want to supplement the following.

Regardless of whether x belongs to s or not, it leads to a contradiction...]

After reading it, Gao Fei smiled and said, "That's a good idea."

After speaking, he took a pen and paper to calculate again, and replied to the other party after thinking for a while.

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

The two replied back and forth, they didn't know who each other was, but at this moment they seemed to have found a spiritual fit.

Goofy was very excited, he hadn't met someone who inspired him in mathematics for a long time.

"I don't know which big guy it is?" Gao Fei thought, he described a middle-aged man in his 40s and [-]s in his mind, with a vague appearance, and he didn't know if he was a man or a woman.

He is a genius. In MIT, the world's number one university in science and engineering, it is rare to meet a genius like him.

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

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

Ye Fei was also very excited. In this year of postgraduate study, he may be the only one among the tutor's students who got through the graduate program, so the tutor is the strictest among all the students.

This year, let him read a lot of literature.

Therefore, at this time, with the help of the system, his knowledge reserves were integrated, and countless inspirations burst out.

After a long time, the two of them finished their conversation, and Gao Fei copied down all the math contents while watching the long conversation.

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

It is very difficult to meet someone who can communicate with him academically. When you meet such a person, you must get to know him. You can also discuss math problems in the future.

Ye Fei: "OK!"

For the sake of increasing his mission by 50%, Ye Fei agreed to his proposal.

After that, the two paid attention to each other.

(End of this chapter)