Into the Immortal Cultivation - Chapter 2055

[Chapter 68 Category Theory [Third Update]]

Although he said so, but…

to be honest, Wang Qi actually lacked confidence in the calculator theory.

In fact, from the point of view of any person on earth, the field of calculator theory in this world is very strange.

First of all, the concept of “computer” in the two worlds is actually subtly different.

On the earth, there has always been only one classic route, from George Bull, to Frege, Russell, to Gödel, Church, and Turing. In fact, it is a continuous and progressive route. But this is only the development route of Turing machines.

In fact, Earth’s electronic computer, there is another, almost forgotten origin.

In 1943, a neurobiologist Warren McCulloch and a mathematician Walter Pitts made an abstract figure of the human brain system by simulating the idea of the human brain. It is based on a simplification of the human nervous system. And this achievement proves that a thinking system can be built with wires, and the connections of its wires act as neurons. Where current flows or does not flow, it represents the presence or absence of synaptic responses.

And what these neural networks achieve is exactly a set of “predicate logic”.

However, in that era, human’s cognition of the brain and electronic technology was very shallow and narrow.

When most people think about “neural networks,” they think of the results of the twenty-first century.

Because materials science and engineering in the 1940s could not support the ideal neural network of the two scholars.

The real significance of this experiment is to give the “Turing Machine” an achievable structure.

And it is optimized in engineering, which is the von Neumann architecture.

However, the Reiki universe, the entire universe is a huge black box.

Qianji Pavilion itself has the idea of “simulating all things with organs”. Here, the creation of artificial intelligence, the so-called “acquired will”, is actually very simple. It is enough to divide the soul with a single strand, and even use magic to rub the soul. Magical treasures and true spirits can barely be counted in it.

The earliest prototype of Turing’s calculator was also realized based on the idea of “simulating the process of the soul’s operation”.

As for the mathematical research that was originally used as a prerequisite for the development of computers, that is, part of the achievements of Church and Turing’s lineage, that pursuit is closely related to the dream of Charles Babbage. In this world, it is not for “creating computable computing” The machine” itself is born.

They are a by-product of the deterministic questions asked by Jimen XXIII.

If there is no background of the Reiki universe, then this piece of technology history is simply crazy.

Artificial intelligence existed before computers. Then, computers were invented and used “yin and yang lines” to represent the basis of change. Then, the monks extracted high-level language from the spells, and used the idea of “refining tools and imperial objects” to control the calculator. Then, in the field of pure mathematics next door, the incompleteness theorem appeared, which in turn led to the development of computers.

You can talk to that earth person casually, and that earth person will not believe that there is such a nonsense technological history.

As for Shunjun’s “chaotic topology network structure”, after the first line developed to the extreme, another line parallel to the calculator was opened.

Wang Qi wouldn’t believe that such a technology existed if Shunjun hadn’t already come up with it.

The reason why Wang Qi gradually handed over this piece to Su Junyu after forming the elixir is not only because he is busy to exterminate the remnants of the ancient law of Linghuang Island, but also because he is afraid of the knowledge barrier that he has created on the earth and delays this work. A line of development.

Common sense of the earth is of limited use in this area. That is, he has withdrawn from some of the “powers” of the rapid progress of computer technology on the earth, such as open source, and the like. Even if he made an alpha dog, it was nothing.

Shenzhou no longer needs the “acquired will to play chess to beat the national players with limited computing power”, they have this kind of thing. Instead, they are more concerned about, “why is there such a thing”.

This is his weakness.

However, it’s no longer a concern.

Wang Qi thought so.

You have to learn this one well in order to feel at ease.

It’s not that he thinks that Jun Jun will really harm him in ways other than mathematical methods, let alone hope that he can overtake Jun Jun in a predictable time.

It’s just plugging a possible loophole.

“Furthermore, it is also very important to find a solid foundation for one’s phantom body.”

Wang Qi cheered to himself, then looked at the other two in the quiet room.

Zhao Qingtan and Wei Cang are both the main force in writing “Original Calculation”.

“Our task in the next stage is to continue to study the structure. In the first few ‘original plans’, we have set up the brand of ‘structure’. However, this is not the end, we need to continue to go deeper.”

Zhao Qingtan frowned . “It’s still pure math? But you didn’t say that saving lives is the most important thing…”

“Without this step, how can I help myself!” Wang Qi spread his hands: “Brother Zhao, did I make it clear yesterday?”

“Yes, I understand. Yes.” Zhao Qingtan sighed slightly.

“Let’s talk about the structure. Our ‘structure’ is still a new concept, but it is not powerful enough. I think it is powerful. It should be able to change the way of thinking of all Wan Dharma disciples.”

Wang Qi originally proposed The incompleteness theorem almost destroyed half of the ten thousand methods.

But why only half? Why is there still only “half” when there are more Li Zongs than Lian Zongs?

Because logic, in fact, is not so close to the whole of arithmetic.

In other words, only logicians can relate to logic itself. More mathematicians don’t actually care about logic. If there is a contradiction in logic, there will be a contradiction, and it does not affect the actual proof of any arithmetic.

The reason why many monks lost their minds is because the beautiful picture of the alchemist “finding the unifying foundation of arithmetic” is too tempting, and many people believe this.

Just as the atomic theory doesn’t affect normal people’s perception of macroscopic things, when the disciples of Wanfamen are counting, they don’t think of natural numbers as “equipotential sets.”

There are even many mathematicians who think that incompleteness and incompatibility are just a problem of “logic” and “set” itself, not a problem of mathematics.

You are the representative of this kind of thinking. When the fortune-teller practices his ideals, the fortune-teller doesn’t care at all, it seems that it doesn’t matter whether he succeeds or not.

Incompleteness and incompatibility also have this tendency. The problem is only a problem of logic, not of mathematics itself.

They look more like stumbling blocks on the main road.

The benefits of set theory with a universal door seem to be only “a unified language that is convenient for expressing various abstract concepts”.

And “structure” is another level of things.

The Bourbaki school claimed that “structure” was “the mathematical basis used by mathematicians” [rather than “the mathematical basis used by logicians”). They set out on another path to unify the entire field of mathematics.

The concept of “structure” existed before the Bourbaki school. They simply pointed out that the concept of “structure” could be used as “unity” in the same way that Hilbert wanted to rule the world of mathematics with Cantor’s set theory. This approach has been a great success, because on Earth, only a very small number of “parent structures” are needed to discuss a large number of typical and interesting examples.

The Bourbaki school even influenced the disciplinary division of mathematics. Mathematics is no longer divided into arithmetic, algebra, geometry, and analysis as in the classical period, but there are categories such as “topological algebra” and “algebraic geometry”.

This foundation is capable of changing the world.

The further sublimation of the concept of “structure” is “category”.

A class of all possible instances of a structure of a certain type, plus all functions that maintain that structure, is a “category”.

Category is a more flexible concept than structure.

Categories can be regarded as a special case of the concept of structure, and on the other hand, sets and their functions can be regarded as a special case of categories.

Sets and their functions, structures and their morphisms, can all form categories.

It also has the potential to “become the basis of the whole of mathematics”.

This is another important addition to the Bourbaki school.

On the other hand…

this thing is finally a bit more grounded than many of the previous theories.

At least, category theory can be applied to computer science, although Wang Qi has forgotten how it is.

After all, this is a relatively high-end atmospheric skill on Earth, and ordinary programmers may not understand it.

In addition, the technological history of Shenzhou, which is completely different from that of Earth…

is indeed very confusing.

But Wang Qi had to bite the bullet.

The basic theory has become an inseparable part of his practice.

And if there is a conflict between his cultivation methods, then it is very likely that it originated from the illusory cultivation method of the monarch, and this part of the conflict.

Xianmeng rarely had this kind of problem before. Because even if the “theories” are different, the “applications” are not incompatible. For him, the cluster of animal organs is just “use”, and there should be no problems.

However, the Dragon Sovereign prophecy is beyond ordinary cause and effect, so it must be avoided.

Therefore, Wang Qi had to choose this path.

In this way, he can better combine his own arithmetic level with the beast organization and his own practice.

It’s a dark road though.

But he, Wang Qi, just planned to find a way out.

After arranging the two people, Wang Qi said again: “Senior Brother Zhao, I plan to visit the Yu Clan in the future and solve some problems in advance… It may be a problem. I remember you plan to go there and deal with it. The education of the Yu clan, right? Let’s go on the road together, I still have something to do, I’ll ask you alone.”

“Okay, no problem.” Zhao Qingtan had no problem.

Wei Cang left first. And Zhao Qingtan called Jiao Shuhaihua and went to the Yu people’s settlement together with Wang Qi.

[End of this Chapter]