In the villa surrounded by flowers, Milina was reading Lucien's paper that proved the compatibility between Tower Geometry and Levski Geometry using the unit circle. Once again, she was awed by the beauty of mathematics. After quite a while, she finally picked up her pen and wrote:
"The beautiful idea and the concise argument show us the beauty of mathematics. At the same time, it also proves the compatibility between Levski's new geometry and Tower Geometry. It irrefutably announces the establishment of the new geometry system, subverts the mathematical world made up of real experience and intuition, and reveals a new path for the development and argument of mathematics."
"This paper plays a very important role in proving the establishment of the new geometry system. The mathematical ideas contained in the paper are worthy of further research. It's groundbreaking. The reward is forty arcana credits and five hundred arcana points."
Milina gave the evaluation results strictly according to the review standards. She didn't let her own preferences play a role. Otherwise, as an authority in the field of mathematics, and a mathematician, she would definitely give a higher evaluation and reward for this kind of mathematical beauty.
…
Almost at the same time, Salgueiro was also reviewing Lucien's paper, An Attempt to Explain Non-Tower Geometry.
"The paper presents a mathematical model that violates intuition but actually exists. It makes a groundbreaking contribution to proving the establishment of Levski's new geometry system. It makes us realize that this is indeed a new geometry system that is fundamentally different from Tower Geometry."
"Considering that this mathematical model and its proof process have made a breakthrough in the field of new geometry, it is very important, and it is worth studying and researching, 60 arcana credits and 600 arcana points have been established."
When Salgueiro put down his pen, he realized that the winter night had come. The wind was howling outside, and it was dark outside. However, in the cold darkness, Salgueiro seemed to see a little bit of light. It was the light of the future development of mathematics.
"If the new geometry system has real arcana significance …"
"Evans' idea about axiomatization is kind of interesting …"
…
One week later, in the morning, Samantha came to Tower to study with her teacher as usual.
"Nice to meet you, Ms. Samantha." Several junior-rank arcanists who were familiar with Samantha all greeted her.
In the hall, the dome was dark, and there were many magic crystal lamps inlaid in it. They were arranged according to different galaxies and constellations, like a huge star chart.
Samantha nodded seriously but politely. Then she asked in confusion, "Leo, Gina, why are you here so early?"
As far as she knew, Darcella, a level-four arcanist and a fifth-circle astrologer, never taught students on Fridays. At this time, the laboratory and the library in the tower were not open yet, so there was no need for him to come so early.
"Ms. Samantha, don't you know? Yesterday, the tower announced that a new journal will be published today. We are all curious, so we came early to wait for it. "Gina, who had a cute round face, answered honestly.
Samantha had been observing the stars at night for the past two days in order to improve one of her new spells. Therefore, she did not come to the Tower after asking for leave. Naturally, she did not hear about it. At this moment, her face slightly changed, and she mumbled to herself, "A new journal? Is it the one with Lucien Evans's inscription?"
"No, I don't know." Leo, who was not even twenty-five years old, shook his head in confusion. It seemed that Ms. Samantha knew more than them.
"Hey, Samantha, are you also here to buy Nature?" Rachel's brisk and lively voice came from behind Samantha. She was always so youthful, full of vigor, and gave people a feeling of sunshine, which made people's mood better when they saw her.
Samantha put on a rare smile, "You too?" Rachel and Samantha had opposite personalities, but they were very good friends.
Rachel sighed deliberately, "Yes, as a member of the Arcana Review Board and a leader of the tower, my teacher, Ms. Isabella, should have been sent the journal directly, but she is out exploring, looking for new materials for illusion. I have to buy it myself."
Gina and the other arcanists were obviously more respectful to Rachel. For one thing, they were not familiar with her, and for another, Rachel was the winner of the Sorcerer Laurel. The crystal hairpin on her flaxen hair shocked them very much.
"You know the content and inscription of Nature?" Samantha asked subconsciously. Otherwise, Rachel would not have come to the tower so early. With her status, how could she not be able to buy it?
Rachel looked at Samantha confusedly, "I don't know. But as the first issue of a journal, it's very memorable and collectible, especially since I bought it myself."
"…" Samantha realized that she had forgotten about her friend's hobby of collecting.
At this time, the tower library behind the reception desk opened, and two female apprentices who were responsible for the reception took out several stacks of thick black books.
"Well, I need to see what this journal is about," Rachel said to Samantha curiously, and then she quickly walked to the reception desk.
Samantha recalled, "It's about mathematics?" This was something that her teacher, Neeshka, had mentioned occasionally. When she was helping her teacher return the review results, she had already seen Lucien Evans' new geometry paper. Her head was swollen by the inexplicable proposition that was contrary to common sense. She subconsciously resisted and almost could not understand it.
But soon, she was shocked by the mathematical model provided by Lucien Evans. She read it carefully again. On the one hand, she refused to accept it from the bottom of her heart, and on the other hand, she was convinced by the rigorous and self-consistent logic and the appropriate model. She was in a confused and contradictory state, and it took her two or three days to recover and accept the fact that the new geometry system did exist.
"Oh, Tower has finally decided to publish a thesis in the field of mathematics? That's great news! "Rachel said excitedly.
Sorcerers like her, who were born in Tower, more or less had complicated feelings about mathematics.
"Ladies, can I have two new journals?" Rachel took out her magic badge.
"You're welcome, Ms. Rachel." After winning the Sorcerer's Laurel, there were very few people in Tower who did not know Rachel. The two young girls hurriedly put their magic badges into the magic circles and deducted their arcana points. Meanwhile, they handed two new journals to Rachel and Samantha.
"It's so thick!" Rachel exclaimed. Samantha, who was serious and cold, could not wait to read the front of the journal. Her teacher's words had made her curious for a whole week!
The cover of the journal was similar to that of Arcana. On the dark background, many mathematical symbols, formulas, theorems, numbers and special geometric figures were outlined by silver lines. They gathered separately, like stars in the dark universe.
"Describing the truth of the world in the language of mathematics …" This was what Samantha thought when she saw the cover, and she also believed that this was the real meaning.
In the starry sky, there was a huge silver word, "Nature", written in a special pattern. The ten letters of the word were like a beautiful formula.
Below the word "Nature", there were several rows of smaller words:
"Your eyes will deceive you …" Next to the words were the numbers in the visible range.
"Your ears will deceive you …" Next to the words were the numbers in the hearing range of human ears.
"Your experience will deceive you …" Next to the words was a simple but significant formula in calculus, 0.99999 … = 1.
"Your imagination will also deceive you …" Below the words were the hyperboloid in the shape of a saddle and the curved surface in the shape of a sphere.
Reading the words one by one, Samantha seemed to understand the profound meaning of the simple words.
She moved her eyes to the end and saw a simple but powerful sentence:
"But not mathematics!"
This sentence was one size larger than the previous ones. There were no patterns next to it, but the mathematical symbols, formulas, and theorems on the cover seemed to provide evidence for the sentence, which made it even more shocking.
Samantha did not know how others felt, but she knew that she had thought and understood a lot of things, but she also felt that she had thought of nothing and understood nothing.
Next to the last sentence, there was a name written in cursive: "Lucien Evans · X".
"Is this what he thinks about mathematics?" Samantha murmured to herself.
Rachel, who was next to her, also fell into silence. At this time, hearing Samantha's murmur, she quickly opened the journal and read the speech on the front page. She had a clearer understanding of what Lucien was trying to say. Then she quickly skimmed through the rest of the paper, sighing and exclaiming from time to time.
After a long time, she finally woke up from her own world and sighed, "Is he still a human being?"
"Levski Geometry, Evans Geometry … If it were in other magic fields, many people's heads would explode. Even though I've seen the proof and the model at the back, I still find it hard to believe."
Then she put on a fascinated and excited expression, "But I really, really like what he said!"
The other low-rank arcanists, including Gina and Leo, also received the journal of Nature. They were also deeply shocked by the words on the cover and the content on the front page, unable to say a word. As for the rest of the four papers on the new geometry system, they were too dizzy to understand them in a short time. Therefore, they decided to focus on studying the new geometry system after they went back.
… …
"… Ms. Florencia, Mr. Gaston, and my teacher, Mr. Larry, are all 'glad' that you've turned your attention to mathematics. In this way, the arcanists in the Congress of Magic will be much safer. Alright, let's stop joking. Like me, they also hope that you won't waste your time in the new geometry system, which has no practical arcana and magic significance. Your talent, your talent, should be in the world of elements and in the field of atomic structure. As for the new geometry system, you can leave it to the arcanists in Tower to continue their research. Your friend, K."
After the journal of Nature was published, Lucien received many letters. Some congratulated him, some wanted to discuss with him, some wanted to invite him to give lectures in his branch organization, and some wanted to congratulate him. In their eyes, the new geometry system, which had no practical arcana and magic significance, was only Lucien's toy in his spare time.
"The new geometry system is more important and terrifying than you can imagine, and so is the development of mathematics." Lucien sighed and put away the letters. Then he said to Annick, Heidi, Sprint, and Katrina who were waiting outside the door, "Let's take a walk in the garden. I'd like to hear about your recent research results."
This was a way of free communication that Lucien stole from several physicists who were good at cultivating talents on Earth.
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