Leilia pulled out two copies from the thick stack of journals in her hand: "The hot topic of discussion this month is your "Fundamentals of Mathematics and Physics", and the most concerned is the barber's paradox, which is known as the great crisis in the field of mathematics and science.
Although she is also good at mathematics under Lucian's training, she is essentially an arcanist in the field of elements and alchemy, and she applies mathematics more than research, so when it comes to the "great crisis in the field of mathematics and science", she does not have the anxious and confused appearance of the tower arcanist, but has a little more excitement about watching the excitement and not being afraid of big things.
On the one hand, he fully affirmed the important role of "Fundamentals of Mathematics" in the development of mathematics and science, and conducted varying degrees of research on the many branches of mathematics that were formed as a result.
Although before Lucian wrote "The Fundamentals of Mathematics", the Magic Council did not have a fully formed set theory system, but many arcanists who were good at mathematics had realized that starting from set theory and combining other concepts to build an entire mathematical palace, it was the cornerstone of all mathematical achievements, so not only did the great arcanists want to retain all the valuable content of the current set theory while strictly defining and avoiding paradoxes, but the papers of other tower arcanists also reflected this view.
However, their papers show different tendencies, some arcanists start from the equivalent of mathematics with logic, represented by Douglas and Hathaway, while others believe that mathematics can be a completely formal system of symbols, without any real content, as long as they themselves are not contradictory, they can be studied.
Of course, these tendencies belong to their own worldview and values, and it is difficult to judge who is necessarily right and who is wrong.
"It seems that the arcanists are not intimidated by the barber paradox, but are motivated to study how to solve this problem." Lucian laughed.
Heidi, Cheli, and others quietly rolled their eyes at the teacher, saying as if the barber paradox was not proposed by you.
He admitted that he could not prove it for the time being, but thought that he could get closer step by step, first proving that even numbers can be expressed as the product of M prime numbers plus 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 feels interesting, but Your Excellency Begner hasn't even proven '9+9' yet, and it's still a long way from solving it." Heidi said with a smile, "Teacher, you haven't solved this conjecture before throwing it out to see how everyone is meditating, right?"
"I really haven't solved ......" Lucian shook his head amusedly, as if he could imagine that in the future, "M+N" papers will be indispensable in the journal "Nature", and maybe someone will be able to reach "1+2" in a few decades......
After exchanging the latest journals, Lucian 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 is your opera "Valkyrie"?"
"If nothing else, it should be like this." Lucian did not deny it.
"Oh, I'm looking forward to it!" Heidi, Leilia and other students and assistants all said with sparkling eyes that over the years, most of the teacher's energy has been focused on the study of arcane and magic, and in the field of music, except for the classic and alternative violin concerto, there are only some simple and short piano sketches and light music, which really makes those of them who also like great musicians lose their hearts, and this opera is said to have been written by the teacher for several years, it must be perfect, with many classic melodies and arias.
Sprint curled his mouth quietly, unable to understand their attitude, he listened to music if he had it, it didn't matter if he didn't, as for being so excited?
Amid the chatter of Leilia, Heidi and others, Lucian walked into his office and looked at the paper in front of him in a daze.
After a while, he picked up a quill, dipped it in some magic ink, and picked up the pen and wrote a title: "Determinism, Self-Awareness, and the Roots of Magic."
After analyzing the contradictions of determinism itself, Lucian led to self-awareness, and then brought the question to the relationship between the "observer effect" and the "root of magic".
「…… It is precisely because of the effect of consciousness on microscopic particles that our material foundation does not appear 'solid' enough, so that 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 transfiguration techniques can be described as physical restructuring at the microscopic particle level...... Therefore, magic that does not have a constant effect has a duration, a phenomenon that we used to interpret as being rejected by 'nature', but now it seems that it is better to describe it as being influenced by other 'observers', resulting in collapse......"
"The mutation of the bloodline may come from this microscopic level of 'instability', such as the quantum transition ......"
「…… Of course, a lot of magic requires a lot of energy, which our mental power cannot bear, so the question is, where does this energy come from?"
「…… In some transfigurations, there is a decrease and increase in matter before and after transformation, the decrease is understandable, that part of the matter does not disappear, but is stored in the temporary time and space created by magic. Can matter be created out of thin air? And according to the conservation of mass and energy, the energy required is extremely terrifying, so where do they come from?"
"I guess when using this transfiguration, we get not energy from the outside world, but base matter, but where do they come from?"
「…… Perhaps 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 the vacuum in the absolute sense does not hold? What is its essence? Why can you provide basic elemental matter?"
"Can meditation be described as a process that enhances self-awareness? The growth of a magician is the process of a weak observer to a strong observer......"
After writing this paper, Lucian picked up the paper and blew a breath: "As long as people can see that I got inspiration from the 'negative energy vacuum sea', well, I have to keep the logic of the paper itself self-consistent......"
After muttering, Lucian put down the paper and pen, looked at the paper again in a daze: "How should the problem of transfiguration be explained, and what is its real principle......"
In the afternoon, after casually submitting the paper to the Magician Management Department, Lucian returned to the "Atomic Universe" and saw Natasha sitting on the sofa in a daze.
Is today a day of daze for the husband and wife? Lucian smiled secretly and shook his palm: "What's wrong?"
Natasha, who was wearing a purple court dress, woke up and said with a smile: "It's getting closer and closer to the Rentat Music Festival, so I miss Aalto a little."
"I can see that sometimes, I also think back to Alto's life." Lucian smiled and pulled Natasha up, "In that case, if you think of it, do it, let's go to Alto now."
"Huh?" Natasha was stunned for a moment, when did Lucian become an action-oriented person, didn't plan in advance?
But she quickly came back to her senses and said with a bright smile: "Okay, let's have dinner at Alto."
This kind of "walking" out doesn't seem to need to be planned!
The first update, a few hundred words are missing, and the next chapter is supplemented~ I will start making up for it today, asking for a monthly pass~
(End of this chapter)