Leylia took out two journals from the thick stack of journals in her hand: "The hot topic of discussion this month is your teacher's "Fundamentals of Mathematics". The most popular one is the barber's paradox, which is called
The great crisis in mathematics and physics.”
Although she was also good at mathematics under Lucien's training, she was essentially an arcanist in the fields of elements and alchemy. She applied mathematics more than studied it, so when it came to the "big crisis in the field of mathematics", she did not
There is no anxious and confused look like the tower arcanist, but a little more excitement of watching the excitement and not being afraid of trouble.
Lucien took over "Arcana" and "Nature" and found that the Speaker, the teacher, Granny Hathaway and other great arcane masters had all written papers specifically on "Fundamentals of Mathematics". On the one hand, they fully affirmed the importance of "Fundamentals of Mathematics".
play an important role in the development of mathematics, and have done varying degrees of research on the many branches of mathematics that were formed as a result. On the other hand, they all unanimously pointed out that the solution to the Barber's Paradox must rely on the development of set theory itself and on the development of set theory itself.
its strict definition
Although the Magic Council did not yet have a fully formed set theory system before Lucien wrote "Fundamentals of Mathematics", many arcanists who are good at mathematics have realized that starting from set theory and combining with other concepts, a complete set theory system can be established.
A mathematical palace, it is the cornerstone of all mathematical achievements. Therefore, not only the Grand Arcanists hope to retain all valuable content in the current set theory while strictly defining and avoiding paradoxes, the papers of other Tower Arcanists also reflect this.
Got this point of view.
However, their papers showed different tendencies. Some arcanists started from the idea that mathematics is equal to logic, represented by Douglas and Hathaway, while other arcanists believed that mathematics can be completely formalized.
Symbolic systems do not need to have any real content, as long as they are not contradictory in themselves, they can be studied. This radical view is represented by Fernando, and Lucien's axiomatic system concept also falls into this category. In addition,
There are other tendencies as well.
Of course, these tendencies belong to their own worldview and value categories, and it is difficult to judge who is definitely right and who is definitely wrong. They can all promote the development of the field of mathematics and physics, but the promotion is more or less.
"It seems that the arcanists are not intimidated by the Barber's Paradox, but are full of motivation to study how to solve this problem." Lucien chuckled.
Heidi, Cherry and others quietly rolled their eyes at the teacher, as if you didn't propose the barber's paradox.
After flipping through it, Lucien saw the prophet Bergner's paper on "Goldbach's conjecture". He admitted that there was no way to prove it yet, but he believed that he could get closer step by step and first prove that even numbers can be expressed as M prime numbers.
The product plus the product of N prime numbers, that is, first prove "MH. When both M and N are reduced to 1, the problem is solved.
"Teacher, your conjecture is jokingly called the proof 'Lr1,' which is very interesting, but Mr. Bergner has not even proved 'qH9,' and there is still a long way to solve it." Heidi said with a smile, "Teacher
, you wouldn’t have solved this conjecture before throwing it out to see everyone pondering over it, right?”
"I really haven't solved it..." Lucien shook his head in a funny way, as if he could imagine that "MH" papers would be indispensable in the "Nature" journal in the future. Maybe someone can reach "12" in a few decades...
After exchanging the latest journals, Lucien was about to enter his office when Heidi suddenly smiled and said: "Teacher, I heard that the Kingdom is about to hold a Rentat Music Festival, and the opening ceremony will be your opera "Valkyrie"?"
"If nothing else happens, it should be like this." Lucien did not deny it.
"Oh, I'm looking forward to it!" Heidi, Leylia and other students and assistants all said with sparkling eyes. In these years, the teacher has focused most of his energy on the research of arcana and magic. In addition to the music field,
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 also like great musicians, very disappointed. It is said that the teacher wrote this opera for several years. It must be very perfect and possess
Numerous classic melodies and arias.
Splinter pouted and couldn't understand their attitude. It didn't matter whether he had music or not. Was he so excited?
Amidst the chatter of Leylia, Heidi and others, Lucien walked into his office and looked at the thesis paper in front of him in a daze.
After a while, he picked up his quill pen, dipped it in some magic ink, and wrote a title: "Determinism, Self-Awareness, and the Origin of Magic."
Although the title of this paper looks similar to Mr. Schrödinger's famous "Determinism and Free Will", there are only a few similarities in the content. After analyzing the contradictions of determinism itself, Lucien introduced self-awareness,
Then the question was brought to the relationship between the "observer effect" and the "source of magic". This also has no theoretical confirmation, but belongs to a possible model like the "negative energy state vacuum sea".
"...···It is precisely because of the effect of consciousness on microscopic particles that our material foundation is not strong enough, and various changes can occur under the action of mental power and corresponding magic patterns, resulting in strange and changeable magic.
,For example, some of our transformation techniques can be described as body reorganization at the microscopic particle level... Therefore, magic that does not add a constant effect has a duration. This phenomenon, we used to explain as being rejected by nature, but now
It seems that it is better to describe it as being affected by other observers, resulting in collapse..."
"The variation of bloodline may come from this microscopic level of instability, such as quantum jump..."
"...... Of course, many magics require huge amounts of energy, energy that our mental strength cannot bear, so the question is, where does this energy come from?"
"…···In some transformation spells, there is a decrease and increase in matter before and after transformation. The decrease 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 is achieved, it will naturally
Just return to itself, but what about the increase in matter? Can matter be produced out of thin air? And according to the conservation of mass and energy, the energy required for this is extremely terrifying, so where does it come from?"
"I guess when using this transformation technique, what we get from the outside world is not energy, but basic substances, but where do they come from?"
"...···Maybe the existence of the 'real world' can solve our questions, but in what form does it exist? Does it exist in every corner of the universe, so that vacuum in the absolute sense does not hold? What is its essence?
?Why can it 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 writing this paper eloquently, Lucien picked up the paper and blew a breath: "As long as people can see that I got inspiration from the negative energy state vacuum sea, well, I have to maintain the logic of the paper itself.
Self-consistent……"
After muttering, Lucien put down the paper and pen, and looked at the paper again in a daze: "How to explain the problem of transfiguration, what is its real principle..."
In the afternoon, after casually submitting this paper to the Magician Management Department, Lucien returned to the "Atomic Universe" and saw Natasha sitting on the sofa in a daze.
Is today a day for the couple to be in a daze? Lucien smiled secretly and waved his palm: "What's wrong?"
Natasha, who was wearing a purple palace dress, suddenly woke up and said with a smile: "It's getting closer and closer to the Rentat Music Festival, so I miss Alto a little bit."
"It can be seen that sometimes, I also think about Alto's life." Lucien smiled and pulled Natasha up, "In that case, just do it if you think of it. Let's go to Alto for a walk now."
"Ah?" Natasha was stunned at first. Since when has Lucien become an action person and not plan in advance?
But she quickly came to her senses, smiled brightly and said: "Okay, let's have dinner at Alto."
This kind of "walking" seems to require no planning! To be continued. If you like this work, you are welcome to come to the starting point (qpdian.cam) to vote for recommendations and monthly votes. Your support is my biggest motivation. Mobile phone