Throne of Magical Arcana

Leiliya took two books from the thick stack of journals she held: "The hot topic of discussion this month is the teacher's" Basics of Mathematics and Physics ". The most concerned thing is the barber paradox, which is called The big crisis in the field of mathematics. "

Although she is also good at mathematics under Lucien ’s training, she is essentially an arcanist in the field of elements and alchemy. She applies mathematics more than research, so when it comes to the "big crisis in mathematics", she does Instead of the confused look of anxious wanderers like the high tower arcanist, there is a little more excitement to watch the excitement.

Lucien took over "Arcane" and "Nature", and found that the great Arcanist such as the Speaker of the Speaker, the teacher, and Mother-in-law Hathaway wrote a paper specifically on "Basics of Mathematics and Physics". The important role in the development of mathematics has studied the many branches of mathematics that have been formed to different degrees. On the other hand, they all pointed out that the resolution of the barber ’s paradox must depend on the development of set theory itself and on the It's strictly defined.

Although Lucien had n’t written a set theory system before the foundation of Mathematics and Physics, many arcanists who are good at mathematics have realized that starting from set theory, combined with other concepts, can establish a complete set The Palace of Mathematics and Mathematics is the cornerstone of all mathematical achievements, so not only do the Arcanists want to strictly define and avoid paradoxes, but also retain all the valuable content in the current set theory, other high-arcist arcanist papers also reflect This view.

However, their thesis showed different tendencies, some arcanes are based on the equivalence of mathematics and logic, represented by Douglas and Hathaway, and others think that mathematics can be fully formalized The symbolic system of, without any real content, can be studied as long as they do not contradict themselves. This radical view is represented by Fernando, and Lucien ’s concept of an axiomatic system also belongs to this category. There are other tendencies.

Of course, these tendencies belong to their own worldview and values. It is difficult to judge who is correct and who is wrong. They can promote the development of the field of mathematics and science, but there are only a few.

"It seems that arcanists are not intimidated by the barber's paradox, but are rather motivated to study how to solve this problem." Lucien chuckled.

Heidi, Cherie and others quietly glanced at the teacher, saying that the barber's paradox was not what you proposed.

After flipping around, Lucien saw the paper of "The Goldbach Conjecture" by the prophet Bergner. He admitted that there is no way to prove it at the moment, but he thinks that he can come 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 is to prove "M + N" first. When both M and N are reduced to 1, the problem is solved.

"Teacher, your conjecture has been dubbed as proof" 1 + 1 ", and it feels very interesting, but Lord Bergner hasn't even proved" 9 + 9 ", and there is still a long way to go to solve it." Heidi smiled. Say, "Teacher, wouldn't you have solved this conjecture before throwing it away to see everyone thinking about it?"

"I really haven't solved it ..." Lucien shook his head funny, and seemed to be able to imagine the future of "M + N" papers in the journal Nature. Maybe someone could go to "1 + 2" in a few decades ... …

After communicating the latest periodical, Lucian was about to enter her office. Heidi suddenly smiled and said: "Teacher, I heard that the Kingdom is about to hold a Renta Music Festival. Is the opening ceremony your opera" Valkyrie? "

"If there is no accident, it should be like this." Lucien did not deny.

"Oh, I look forward to it!" Students and assistants such as Heidi and Leiria said with shiny eyes. Over the years, most of the teacher's energy has been devoted to the study of arcane and magic, except for the music field. In addition to the classic alternative violin concerto, there are only some simple short piano pieces and light music, which really makes them those who also like big musicians. The opera is said to have been written by the teacher for several years, and it must be perfect. Numerous classic melodies and arias.

Sprint whispered quietly, unable to understand their attitudes. He listened to music if he didn't. It didn't matter if he didn't. Is he so excited?

In the chatter of Leiria, Heidi and others, Lucien walked into his office and looked at the special paper in front of him in a daze.

After a while, he picked up a quill, dipped it in magic ink, and wrote a title: "Determinism, Self-Awareness, and Roots of Magic."

Although the title of this paper looks similar to that of Mr. Schrodinger's famous "Determination and Free Will", the content is only a few in common. Lucien's self-awareness is drawn after analyzing the contradictions of determinism itself, Then the problem 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 of "negative energy vacuum sea".

"... It is precisely because of the effect of consciousness on microscopic particles that our material foundation does not appear to be 'firm', so that various changes can occur under the influence of mental power and corresponding magic patterns, resulting in strange and varied magic, such as , Part of our metamorphosis can be described as body reorganization at the microscopic particle level ... Therefore, magic without a constant effect has a duration. This phenomenon, which we explained in the past as being rejected by 'natural', now seems to be described as Be influenced by other 'observers', and thus collapse ... "

"The variation of blood veins may come from this kind of micro-level 'instability', such as quantum jumps ..."

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

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

"I'm guessing that when using this transforming technique, what we get from the outside world is not energy, but the 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 the absolute vacuum is not established? What is its essence? Why? Can 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, Lucian picked up the paper and breathed a sigh of relief: "It's enough to let people see that I got the inspiration from the 'negative state vacuum sea'. Well, keep the logic of the paper itself. Self-consistent……"

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

In the afternoon, after 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 daze day for the couple?Lucian smiled secretly and shook his palm: "What's wrong?"

Natasha, in a purple palace dress, woke up and said with a smile: "It is getting closer and closer to the Luntat Music Festival, so I miss Aalto a little."

"It can be seen that sometimes, I will also recall Aalto's life." Lucian pulled Natasha with a smile. "Since that, think of it and do it, we will go to Aalto now."

"Ah?" Natasha was stunned for a moment. When did Lucien be an activist and did not plan ahead?

But she quickly recovered and smiled brightly: "Well, we have dinner in Aalto."

This kind of "walking" does not seem to require planning!