Chapter 17: Paradox

CHAPTER XVII

The problem of recursive calls is not just a matter of programming skills, and none of these elites in the Luohan Hall feel that they write programs that produce low-level errors such as endless loops.

But when a very common trick rises to the problem of data structure and software architecture, it suddenly shows its hideous face.

And these elites in the inner hall of the Luohan Hall have long been not studying how to write a specific program, but more attention is paid to the ideas that guide the writing of the program.

There is a danger hidden in recursive invocation that threatens the entire mathematical system, and that danger is Russell's paradox.

The so-called Russell paradox is actually familiar to many people, and it is the one: I shave the faces of all the people on the island who don't shave their faces, and I only shave the faces of these people. So, do barbers shave their own faces? If he doesn't shave himself, he belongs to the "one who doesn't shave himself", and he has to shave himself. And what if he shaves himself? He belongs to the "person who shaves his face", so he should not shave his face.

That is, as a function, the barber can deal with other people, but when he "calls himself", he is in a dilemma.

This is the same as "the latter sentence is false, and the previous sentence is true" put forward by ID Yue Xiaoc, all of which will fall into a paradox that cannot be judged.

But this kind of problem is just a purely mathematical problem, and in reality, the barber can not care about this problem and shave his face happily. And since the question raised by Yue Xiaobing cannot be judged, then we can ignore it. Because as long as there is human intelligence to know, the question is meaningless.

Before the great development of artificial intelligence, people had already solved this problem in the history of Hou Shida. The most fundamental reason why recursive calls have a paradoxical dilemma that cannot be judged is that the computer is too rigid, extremely inflexible, and absolutely does what it does.

For a computer, it uses rules, follows rules, but can't manipulate rules. One reason humans are more intelligent than computers is that we are able to deal with "rules" flexibly.

Hou Shida only went through these contents in a trance in his mind, and in fact, the solution of recursive invocation had already been deeply rooted in his mind.

Brother: Quite simply, the root cause of the paradox of recursion is that there are no rules on top of rules. To prevent this from happening, just set rules for the rules.

The smaller C: The rules of the rules?

Xiaohan: It seems that there is some truth, can you elaborate on it?

Ebony: I seem to have woken up a dreamer with a word! It's been a long time since I've felt like this!

The corners of Hou Shida's mouth turned up with a hint of a smile, he didn't dare to imagine that the elites of the Luohan Hall would one day ask him for advice like elementary school students.

You know, what they're talking about today isn't a programming technique, but a part of the standardization of programming, as Yue Xiaobing said before. It is conceivable that behind the people who can discuss this kind of thing, they either have a very high position or occupy a key position.

Today he casually said that maybe tomorrow it will become the industry norm. This is the charm of the inner hall of the Luohan Hall, where none of the objects of mutual communication and intellectual stimulation will be ordinary people.

Senior brother: For example, Yue Xiaobing's sentence, "The latter sentence is false, and the previous sentence is true." If there is a "meta-rule" above it, that is, the rule that defines the rule, then the paradox is not true. It's okay to stipulate that recursive calls can only call their own low-level rules, not their own rules.

The first half of this sentence defines the second half of the sentence, which should be a high-level rule in terms of rules. In this case, the second half of the sentence as a rule itself can no longer be called the first half of the sentence. When this kind of mutual call occurs, the meta-rule can judge the recursive call, and if there is a paradox that does not conform to the meta-rule, then simply abandon the call.

……

What Hou Shida said is only quite superficial in the past, and Russell's paradox actually proposed a solution mathematically as early as the beginning of the 20th century. However, for this reborn software industry, it is a bit deafening.

After he sent his way of handling recursive calls for a long time, no one in the chat room even said a word.

Of course, it's not that what he writes is not of interest to others, as can be seen from the sudden and dramatic increase in the number of people online in the chat room. But many people who have watched the content of the chat are still thinking carefully about the truth contained in it. In order to ask questions and discuss, they must at least understand this set of theories first, right?

Yue Xiaoc: I need to calm down, this statement seems to be feasible, I need to calm down.

Obviously, he is already a little incoherent, meta-rules, rule systems, which may not be without precedent in application. But it's still the same sentence, and it's the first time that Hou Shida can summarize it. If it weren't for the lack of theoretical support, the smaller C would not have insisted on restricting recursive calls under the premise of widespread application.

And the theory proposed by Hou Shida obviously solves the problem she is facing. But even in the inner hall of the Luohan Hall, there are very few people who can create theories.

Just then, the ID of a red name popped up in the chat room. Hou Shida's eyes lit up, red ID, at this time, the treatment of the members of the Supreme Council of the Luohan Hall.

Cyclamen in the Clouds: Hahahaha, it's really eye-opening to be a member of the Broken Wound Recommendation!

Broken Injury: I was just doing it with a gesture, and my senior brother was going to participate in the Luohan Hall essay competition, but it just so happened that I was a reviewer. If it were someone else, I believe I would have made the same choice as me.

Red flags are planted all over the world: I have already read his article "Fuzzy Logic in Uncertain Reasoning", what a strange article! Only someone who can write such a paper can solve the paradox of recursive calls so easily.

Leader: To create a new field, it is worthy of us to convene a supreme council to approve his application!

The ordinary members who had disappeared because of the appearance of the Supreme Council giants couldn't help the curiosity in their hearts at this time. Originally, I thought that Hou Shida was just an ordinary newcomer, but he happened to accumulate a little bit on the problem of recursive calling, but he didn't think that his origin was so extraordinary!

The review of the Supreme Council and the creation of a new field of papers are not often seen in the inner hall of the Luohan Hall!

And everyone who wins this honor has become an industry giant that people look up to in the end! Even in the Supreme Council, there are only a handful of members who have achieved such achievements.

Xiaohan: Big brother's paper has opened up a new field? I'm going to read it carefully, and I'm sure it's going to be extraordinary.

Leader: Not only is it extraordinary, but the paper of the senior brother proposes a direction of artificial intelligence. That is, to let the program have the level of human intelligence, which is eye-opening!

Yue Xiao C: Computers have human intelligence? How is this possible! Wrong...... He deals with recursive calls and seems to be mimicking the way humans deal with similar problems!

Cyclamen in the Clouds: I would recommend that anyone who has a lot of money in the camp read this paper, it will be very inspiring.

Hou Shida was originally embarrassed to be praised by this group of bigwigs, but at this time, he keenly grasped the words of the cyclamen in the clouds. From the words of the cyclamen in the clouds, this "cyclamen camp" seems to be an organization? And this cyclamen in the clouds should be a high-ranking person in this organization, at least he can call the questions.

Is there any other organization in the inner hall of the Luohan Hall?

Before Hou Shida could figure it out, his computer suddenly began to ring non-stop. On the user's status bar at the top of the chat room, the number of SMS messages suddenly starts to skyrocket.

He hurriedly clicked on the inbox, and it was full of neat text messages: Your paper has been subscribed, please check LB income.

Hou Shida looked at the upper right corner of the screen, in such a short period of time, his LB had risen to 8, and it continued to grow.

Hou Shida looked at the double-digit LB in an instant, and then thought of the huge number of papers in the paper library, and couldn't help but rub his hands. There is still a long way to go, and he is finally a man with an income!

Not enough! Hou Shida touched his chin and thought that if he wanted to break through the blockade of Zhongdong Software through the power of the Luohan Hall, such a little LB would not be able to do anything at all. If you want to impress these members of the inner hall who have huge resources, you have to have an advantage that people can't refuse.

However, none of this can be rushed, only in the past two days, the incident is still in the brewing period of transmission on the Internet, and it is not yet time to ignite.

Just when Hou Shidamo was shaking his hands and was about to go to the paper library to check it out, there was a knock on the door of the dormitory.

"Who?"

Hou Shida was stunned for a moment, and asked a little nervously. Luohan Hall is not a criminal organization, and it is even very famous in the industry.

But in reality, everyone unanimously maintains the mystery of this identity. Online uses non-real-name methods to communicate, and very few people offline will spread the word that they have joined the inner hall of the Luohan Hall. Under the unspoken rules, it seems that only the worst members will use the signboard of the Luohan Hall to mix with a "high salary".

Hou Shida, who has always longed for the inner hall of the Luohan Hall, of course, knows this unspoken rule very well, and from the bottom of his heart, he doesn't want his identity as a member of the inner hall of the Luohan Hall to be exposed.

He closed the webpage of the inner hall of the Luohan Hall and walked towards the door with a frown. Opened the door with a click, and Hou Shida was surprised to see that it was Jia Houwei standing in front of the door.

"Jia Houwei?" Hou Shida was a little surprised, he thought that Jia Houwei would be able to stop for a while after yesterday. The bet between the two is actually not binding, if he is bent on repaying the debt, Hou Shida actually doesn't plan to really take any measures.

As long as Jia Houwei can see that he is hiding away, this bet can actually be regarded as achieving its goal. However, he didn't expect that he would encounter such a lai-skinned face, and he dared to appear in front of him today.

Jia Houwei stood at the door of Hou Shida's bedroom, his face a little ugly. He held a piece of paper in his hand, slapped it on Hou Shida's hand with a snap, and said.

"The application form for the entrepreneurship classroom, I, Jia Houwei, have done what I said!"

Hou Shida looked at Jia Houwei, who turned around and walked back to his bedroom quickly, and couldn't help but smile. This person is still somewhat cute.