Throne of Magical Arcana

Lei Liya took out two from the thick stack of periodicals in her hand: "The hot topic of discussion this month is your "Basics of Mathematics and Physics", teacher, and the most concerned one is the barber paradox, which is called The great crisis in the field of mathematics and science."

Although under Lucien's training, she is also good at mathematics, but in essence she is still an arcanist in the field of elements and alchemy, and she has more application of mathematics than research, so when it comes to "the big crisis in the field of mathematics", she does not He didn't have the anxious and confused appearance of the high tower arcanist, but a little more excitement of watching the excitement and not being afraid of big things.

Lucien took over "Arcane" and "Nature", and found that His Excellency the Speaker, the teacher, Granny Hathaway and other great arcanists had written papers specifically on "Foundations of Mathematical Sciences". On the other hand, they all pointed out that the solution to the barber's paradox must depend on the development of set theory itself, and on the development of set theory itself. It's strictly defined.

Although before Lucien wrote "Fundamentals of Mathematics", the Magic Council did not have a fully formed set theory system, but many arcanists who are good at mathematics have realized that starting from set theory and combining other concepts, it is possible to establish an entire system. It is a palace of mathematics and physics, it is the cornerstone of all mathematical achievements, so not only the grand arcanists hope to preserve all valuable content in the current set theory while strictly defining to avoid paradox, the papers of other high tower arcanists also reflect this point of view.

However, their papers showed different tendencies. Some arcanists start from the idea that mathematics is equal to logic, represented by Douglas and Hathaway. Other arcanists believe that mathematics can be completely formalized. The system of symbols does not need to have any real content, as long as they do not contradict themselves, they can be studied. This radical point of view is represented by Fernando, and the concept of Lucien's axiomatic system also belongs to this category. In addition, There are other tendencies as well.

Of course, these tendencies belong to one's own worldview and value category. It is difficult to judge who is right and who is wrong. They can all promote the development of the field of mathematics and science, but they are more or less promoted.

"It seems that arcanists are not intimidated by the barber's paradox, but are full of motivation to study how to solve this problem." Lucien said with a chuckle.

Heidi, Cherie and the others gave the teacher a sneaky look, as if the barber paradox was not proposed by you.

Flipping through it casually, Lucien saw the thesis of the prophet Begna on the "Goldbach Conjecture". He admitted that there is no way to prove it at the moment, but he thinks that he can approach it step by step. First, he can prove that an even number can be expressed as M prime numbers. Add the product of N prime numbers, that is, first prove "M+N". When both M and N are reduced to 1, the problem is solved.

"Teacher, your conjecture is jokingly called proving '1+1', which is very interesting, but Mr. Begna has not even proved '9+9', and there is still a long way to go before solving it." Heidi smiled Said, "Teacher, you have already solved this conjecture, and then threw it out to see how everyone is thinking hard?"

"I really haven't solved it..." Lucien shook his head amusedly, and seemed to be able to imagine that "M+N" papers would be indispensable in the "Nature" journal in the future. Maybe someone will be able to reach "1+2" ​​in a few decades... …

After exchanging the latest periodicals, Lucien was about to enter his office. Heidi suddenly smiled and said, "Teacher, I heard that the kingdom will hold a Rentat Music Festival, and the opening ceremony will be your opera "Valkyrie"?"

"If there are no accidents, it should be like this." Lucien did not deny it.

"Oh, I'm looking forward to it!" Heidi, Leilia and other students and assistants all said with sparkling eyes. In these years, most of the teachers' energy has been devoted to the research of arcane and magic. Apart from the classic and alternative violin concerto, there are only some simple and short piano pieces and light music, which really makes them who like great musicians feel lost. It is said that this opera has been written by the teacher for several years, so it must be perfect and has a Numerous classic melodies and arias.

Sprint curled his lips quietly, unable to understand their attitudes. He listened to music as long as he had it, and it didn't matter if he didn't. As for being so excited?

Amidst the chirping chatter of Leilia, Heidi and the others, Lucien walked into his office, staring at the thesis paper in front of him in a daze.

After a while, he picked up the quill, dipped some magic ink, and wrote a title: "Determinism, Self-awareness, and the Roots of Magic".

Although the title of this thesis looks similar to Mr. Schrödinger's famous "Determinism and Free Will", only a few of the contents are the same. After analyzing the contradictions of determinism itself, Lucien leads to self-awareness, Then the question is brought to the relationship between the "observer effect" and the "root of magic", which is also not confirmed by any theory, but belongs to the possible model like "negative energy state vacuum sea".

"...It is precisely because of the effect of consciousness on microscopic particles that our material foundation is not 'solid' enough to undergo various changes under the influence of mental power and corresponding magic patterns, resulting in strange and changeable magic, such as , part of our transfiguration can be described as body reorganization at the microscopic particle level... Therefore, magic without a constant effect has a duration. We used to explain this phenomenon as being rejected by "nature". Influenced by other 'observers', resulting in collapse..."

"The mutation of the bloodline may come from this kind of 'instability' at the microscopic level, such as quantum leap..."

"...Of course, a lot of magic requires a huge amount of energy, which is energy that our spiritual power cannot afford, so the question is, where does this energy come from?"

"...In some transformation techniques, there is a reduction and increase of matter before and after the transformation. The reduction is understandable. That part of the matter has not disappeared, but is stored in the temporary time and space created by magic. Once the continuous effect of the spell arrives, it will naturally return. itself, but what about the increase of matter? Can matter be produced out of thin air? And according to the conservation of mass-energy, the energy required for this is extremely terrifying, so where do they come from?"

"I guess that when using this kind of transfiguration, what we get from the outside is not energy, but basic matter, but where do they come from?"

"...Maybe the existence of the 'real world' can solve our doubts, but in what form does it exist? Does it exist in every corner of the universe, so that a vacuum in an absolute sense does not hold true? What is its essence? Why? Can you provide basic elemental substances?"

"Can meditation be described as a process of enhancing self-awareness? The growth of a magician is a process from a weak observer to a strong observer..."

After finishing writing this thesis eloquently, Lucien picked up the paper and blew a sigh of relief: "It is enough for people to see that I got the inspiration from the 'Negative Energy State Vacuum Ocean', um, the logic of the thesis itself must be maintained." Self-consistent……"

After muttering, Lucien put down the pen and paper, and looked at the paper in a daze again: "How to explain the problem of Transfiguration, what is its real principle..."

In the afternoon, after casually submitting this thesis to the Magician Management Department, Lucien returned to the "Atomic Universe" and saw Natasha sitting on the sofa in a daze.

Is today a daze day for the couple? Lucien smiled secretly and shook his palm: "What's wrong?"

Natasha, who was wearing a purple court dress, woke up suddenly, and said with a smirk: "The Rentat Music Festival is getting closer, so I miss Aalto a little bit."

"It can be seen that sometimes, I will think about Alto's life." Lucien smiled and pulled Natasha up, "In this case, do it when you think of it, let's go to Alto for a walk now."

"Ah?" Natasha was taken aback for a moment, since when did Lucien become a man of action? Didn't he plan ahead?

But she quickly recovered and said with a bright smile: "Okay, we will have dinner at Alto."

This kind of going out for a "walk" seems to require no planning!

The first update, a few hundred words short, the next chapter will be added~ I will start to make up the update today, please ask for a monthly ticket~