readx;?“ Usually it's fine, I like BBS, I've been tracking your company's interviews, you're very different, you're special, it's just. "I can't go out to work, I like to be alone in the lab."www.biquge.info ”

When she spoke, a lonely and painful expression on her face flashed, Liu Chen thought that she had seen it wrong, although the contact time was not long, she also felt that she was an optimistic girl who was good at entertaining herself.

"Since you have been paying attention to our ideas, you must be clear about our ideas, and you still refuse, so I won't mention it again, so as not to waste spit. Liu Chen said lightly, still regretful in his heart.

"Well, it's good, boy, you can't be Rory, are you familiar with many subjects?" Deng Da was obviously full of interest in Liu Chen.

"During this time, I went to the United States, read a lot of idle books, and understood a lot of subjects, but to say that I am proficient in electronics, circuits, signal processing, communications and other aspects, logical thinking is thorough, and I know everything I know, and my senior sister must understand that at the academic level, you are better than me. ”

"Stinky boy, you're only a freshman, I'm a six-year-old, it's normal to be a little stronger than you, it's not as good as a freshman and a little kid, I'm going to hit my head against the wall, okay?" Deng Da said angrily, his petite body, pale face, and old-fashioned words are very incongruous, obviously he is a middle school student.

Liu Chen asked Deng Da to be very sincere, and introduced some real situations as soon as he came up, which he had never had for others at all, counting the previous life, the two of them had studied for about the same time, and they were convinced of Deng Da's scientific research ability.

"I've been thinking about a question lately, and I haven't been able to understand it, but I can discuss it with you, seeing that your interview topic that day involves game theory. Deng Da pouted and said, it was clearly Lori, Liu Chen didn't understand how she could freeze her age.

"Isn't Senior Sister from the Department of Chemical Engineering?

"You know. Deng Dajiao said, "How boring is a single study, in fact, I don't like chemical engineering very much, but since I have studied for so many years, I have to do it, and the boss will also give an explanation, and I prefer other disciplines, especially games, logic, materials, etc." ”

"With the attainments of the senior sister, I can't figure out the problem, I'm afraid I can't do it. Liu Chen remained modest in front of the little girl's doctor.

"Don't put a high hat on me, I'm not very smart, I can do some research to calm down, you only know so much in your freshman year, although you didn't say it, I can also think that you must have achieved a lot of results, barely a genius." "Deng Da can say whatever he wants, he has been at home for a long time, rarely in contact with people, and has always maintained the innocence and romance of a little girl, I am afraid that his temperament is similar to that of an eleven or twelve-year-old girl.

"Thank you for your affirmation, let's discuss it. ”

"Then you listen, I have a lot of time, let's fight quickly, the topic is this, there is an island, there is a tribe on the island, consisting of 1,000 inhabitants. There is a taboo in this tribe: they cannot know the color of their eyes, they cannot even talk about it with each other, if a tribesman knows the color of his eyes, according to the religious taboo of the tribe, this person will commit suicide in the tribal square in front of everyone at noon the next day, and the tribesmen are absolutely religious, and they will abide by this taboo. ”

Deng Da has a talent for storytelling, but his expression is naturally cute.

"The people of this tribe all have good eyesight, they can see the color of everyone else's eyes, that is to say they all know the color of other people's eyes. The people of this tribe do not use mirrors and do not look at their eyes from the water, in short, they cannot know the color of their eyes from the outside world. Of course, perhaps it is this religious taboo that makes the people of this tribe not use mirrors. ”

Very interesting setting, Liu Chen listened very carefully.

"The people of this tribe are highly capable of logical reasoning. They also knew that the other members of the tribe had a high degree of logical reasoning, that the other members were absolutely religious, and that the other members knew the color of the eyes of everyone other than themselves. ”

"The inhabitants of the island have two colors of eyes, brown and blue, of which 900 have brown eyes and another 100 have blue eyes. But every resident doesn't know this, because he doesn't know the color of his eyes. People with blue eyes can see that there are 900 people on the island with brown eyes and 99 people with blue eyes. Brown-eyed people are similar. ”

Liu Chen smiled and sighed, "Senior sister, this question has been set for a long time. ”

Deng Da glared at him, and said coquettishly: "What's wrong, didn't I tell you that my sister's time is limited, don't talk nonsense, the problem is that one day, an outsider visited this island." The eyes of the outsiders are blue. One evening, in gratitude to the inhabitants of the island, the outsiders gave a speech to all the inhabitants. Outsiders are unaware of the island's taboo on eye color, and in his speech, he mentions: "How unusual it is to see a blue eye like mine here. Now the question is, what are the consequences of this statement?"

Liu Chen frowned and said, "This question is very interesting and profound. ”

"Don't talk nonsense. Deng Da glanced at him and said, "My mind has fallen into a dead end and I feel very uncomfortable, I think about it and think that there is no consequence, and the inhabitants of the island live as usual." People with blue eyes know at least 99 blue eyes, while people with brown eyes know at least 100 blue eyes. Therefore, every inhabitant of the island, knows that there are at least 99 blue eyes. So, they all knew that there was at least one blue-eyed person on the island, and they all knew that everyone else knew that there were at least 99 blue-eyed people on the island, and 899 brown-eyed. As a result, the outsiders did not tell any new information that was previously unknown to the inhabitants of the island, so what the outsiders said had no effect on the inhabitants of the island. ”

Liu Chen smiled and didn't speak, so as not to be told nonsense again, and his patience was surprisingly good in the face of the eccentric little Dr. Lori.

Deng Da said embarrassedly: "I know I must be wrong, but I really can't figure out what I'm wrong." ”

"How can Senior Sister conclude that she is wrong? ”

Deng Da shook his head, "If it's such a simple answer, there is no need to set it up at such a length, and it doesn't reflect the thinking of the game at all, I vaguely feel where the problem is, but I can't see clearly, the more I think about it, the easier it is to get sleepy, and if I don't solve this problem, I will have to sleep for more than eighteen hours a day." ”

Liu Chen said secretly, game theory is really not a problem that ordinary people can study, and the smarter people are, the more troublesome it is, and the stronger the logical thinking, the easier it is to fall into misunderstandings, and the founder John Nash has schizophrenia because of this, which shows that the disadvantages are very big, Deng Da is troubled, and it proves that her concentration and strong logic are just to sleep so long a day, which is very incomprehensible.

"Do you have any other ideas?" Liu Chen's head told him to think about it, this topic was really troublesome, and he felt faintly painful.

Deng Da nodded and said: "You can solve the problem of improving the small town woman in the interview by induction, and I also tried to use the inductive method to deal with this topic, but I got the opposite result, but I really can't figure out where there is a mistake in the above results." ”

"You talk about inductive analysis. The time is too short, and Liu Chen can only make more use of Deng Da's thinking loopholes, and the top students who are good at learning know this method.

"If there was only one blue eye on the island, then when he heard that there was at least one blue eye on the island, he knew that he must be that blue eye, because everyone else he saw had brown eyes. As a result, he would commit suicide at noon the next day. ”

"What if there were only two blue eyes on the island? None of them could immediately advertise that they were blue eyes on the first day, but on the second day, everyone found out that the other was still there and knew they must be blue eyes. This is because everyone thinks like this: if I wasn't blue-eyed, then the other person would have realized that he was blue-eyed yesterday, and the other person should have committed suicide today, but I am still here today, which means that I am also blue-eyed. Eventually, the two men will commit suicide together at noon the next day. ”

"Similarly, if there are three blue eyes on the island, then everyone can quickly launch it by the third day when they find out that the other two have not committed suicide, and it must be because they are blue eyes. So, these three blue eyes will commit mass suicide at noon on the fourth. If you keep pushing like this, you will eventually come to the conclusion that if there are 100 blue eyes on the island, then everyone will realize that they have blue eyes on the 101st day, and they will commit mass suicide at noon on the 101st. ”

Deng Da was completely confused after speaking, "It seems that there is no flaw in this method of analysis, it is impossible to get a completely different answer to the same question, one of them must be wrong, but I can't find out what went wrong, what is wrong with me?"

Liu Chen admired Deng Da's logical thinking ability, and thought for a few minutes before saying, "I don't think these two answers are right." ”

"Why?" Dunda was going crazy, but her Lori face looked like a child with a tantrum, "Where is my logic loophole?"

"A friend from the Department of Mathematics told me such a joke, saying that there are three classes in the Department of Mathematics, and one day when I was in a big class in the department, I happened to hear two people talking, and one of them asked, "Are you in Class 3?" and the other person said: Oh, so you are in Class 2!"

"Don't talk nonsense, get to the point. Dunda clenched her little fist and shouted, she seemed anxious, "I don't have time to hear you talk about this. ”

Liu Chen was a little helpless, and said patiently: "Senior sister, don't be impatient, if you want to figure out the logical problem, you must go from simple to complex, and you must ensure that every step of the reasoning is okay, otherwise once there is a loophole in the middle and you don't notice it, you can only fall into an infinite circle of death and can't get out." ”

"I'm sorry, I'm in a bit of a hurry. Dunda's little face was visibly frustrated, "It's a little tiring to talk like this." ”

As she spoke, her eyelids seemed to droop, and she tried to widen, "Oh, no, let's lie down and talk." ”

After speaking, he got into the bed under the test bench like a little civet cat, stretched out his hand and beckoned: "You come down too, so that you can hear more clearly, and it will not be difficult." ”

She shifted to the side, about half a meter wide.

Liu Chen really couldn't cry or laugh, Dr. Deng actually had this special hobby, although it was an academic discussion, and it was a bunk, it could barely be regarded as a bed, lying together and talking, it was really a little awkward.

"Don't rub it off a big boy, hurry up, I can't hold it anymore. ”

Fortunately, the test bench was higher than the average table, Liu Chen was not fat, so he drilled down without much effort, and lay next to her as far away as possible, the two looked at each other, Liu Chen was a little embarrassed, Deng Da closed his eyes, pricked up his ears, and said eagerly: "Say it quickly, say it quickly." ”

Liu Chen had no choice but to eliminate all kinds of distractions and concentrate on analysis.

"To start with a joke, three logicians walk into a bar. The waiter asked, "Do you all want beer?" and the first man said, "I don't know." The second said, "I don't know." The third person said: Yes, we all want beer. Don't worry, it's related to the topic. After speaking, Liu Chen hurriedly added, otherwise he would have to be said nonsense.

There was a similar joke about a scene in the library of the mathematics department. A boy plucked up the courage to walk up to a girl and said, "This girl, let me ask you a question, if I ask you out, will your answer be the same as the answer to the question itself?"

Dunda was silent, as if in hibernation mode.

Liu Chen said with a smile: "Before the archmage appeared, everyone could see 99 blue eyes, so everyone knew that 'at least one person on the island had blue eyes'. So, what exactly is the use of the presence of the Archmage? That's a good question. There is a specific definition in game theory, and the answer to it is that it is very important that the actions of the archmage have made the message that 'at least one person on the island has blue eyes' become a consensus. ”

"Consensus?" Deng Da suddenly said, her eyes were still closed, her huge black-framed glasses were not taken off, she didn't read game-related books, she was curious about those interesting knowledge, and she didn't like to look at the basics, she felt that it would be limited to the thinking of her predecessors, and affect independent thinking, only by thinking deeply, can you understand at the deepest level.

Liu Chen nodded and said: "Yes, consensus, it is very important and very interesting in the crowd game, maybe you have heard of such a tongue twister, I know, you don't know I know, he doesn't know I know, he knows I don't know...... That's a hilarious consensus question. ”

Dunda suddenly felt dizzy in his head, his head almost went into shock, and his face turned even paler. (To be continued.) )