Seeing the title, Eric sighed deeply, "It's no use, Levski, it's no use. You're wasting your time. No one in the committee will accept such a whimsical thing. It's completely different from the reality we see, and it's completely against the foundation of geometry. It's undoubtedly wrong. We've been friends for so many years. I advise you not to waste your time on this. "
Due to the need for magic to construct graphics and materialize the cognitive world, the study of mathematics had always been running through the history of magic exploration. Among them, the foundation of geometry was the five axioms and five postulates proposed by Mentes, a legendary sorcerer in the ancient Magic Empire. It was called Mentes Geometry, and since he was the founder of Tower, it was also called Tower Geometry.
Among them, the fifth postulate (which was equivalent to the proposition that "there is only one straight line parallel to the known straight line beyond a point beyond a straight line") was too complicated. It was too complicated and did not look like a postulate, but more like a theorem that needed to be proven. It attracted the interest of many sorcerers, especially after the Congress of Magic was established. More and more sorcerers joined the ranks, trying to find a way to prove the postulate. However, they all failed and could not provide a convincing logical deduction.
In Eric's eyes, Levski was one of the failures. He first postulated that "there are at least two straight lines parallel to the known straight line beyond a point beyond a point beyond a straight line", and then he tried to prove the falsehood of this assumption, so that he could prove the correctness of the fifth postulate of Tower Geometry. However, the result was beyond his expectation. Combining this assumption with the other five axioms and four postulates of Portal Geometry, he came up with a geometric system that was logically sound, but absurd and contrary to "reality". The arcanists of Tower all ignored him.
When Levski submitted his paper without any obstruction, he was fiercely criticized and ridiculed. Without a doubt, his paper failed to pass the review.
"Eric, have you read my paper carefully? Have you read the whole process of the argument? Are there any mistakes in the postulates and the logical deduction? Why can't you understand it? "Levski was so angry that his whole body was trembling. Years of blows did not make him yield. In the past ten years, even though his magic research had stopped, his strength had stagnated, and he had been ridiculed and mocked by many people, he had not given up on his theories.
Eric raised his hand and pressed it down, "Yes, the application of reductio ad absurdum and the logical deduction are not wrong. But, Levski, open your eyes and look at our world. Look at this table, this room, this magic structure, they are all different from what you imagined! They are real. Tell us, which one should we believe? Didn't you spend money to print many copies of your paper and spread it to other arcanists? Did they approve of your paper? "
"No." Levski lowered his head dispiritedly. He used to think that the members of the Review Board and the arcanists in Tower were too rigid and conservative, so they "killed" his paper. Therefore, he planned to spread his geometry system to the young sorcerers who had not accepted too many fixed theories and the authorities in the field of mathematics such as President Douglas, Hathaway, and Paris. However, the young arcanists still laughed at him mercilessly. Are you kidding me? Your propositions are totally against common knowledge. Try making two parallel lines instead of a straight line!
The authorities in the field of mathematics also remained silent.
"But I've perfected it." Levski emphasized again. His tone was a bit weaker than before, but it soon disappeared. "I should be able to pass this time. Eric, please."
Eric sighed, "But, Levski, you've submitted your paper several times in the past ten years, and every time you failed to pass the review. And according to the rules of the Review Board, you can't submit your paper repeatedly, so as not to waste the members' time. Look at you, you're over forty years old, and you're still a low-rank sorcerer. Do you have time to study arcana and improve your magic power? You can't go on like this … "
"This is the most perfect proof and explanation. Eric, please submit the paper to Mr. Evans. I'll focus on magic for the next few years." Levski's eyes were full of pleading, and his voice was full of hope.
Eric's emotionless face twitched a bit. "Levski, Mr. Evans only reviews subversive papers, the kind that can shake a sorcerer's cognitive world and make his head explode. But your paper is purely mathematical. Even if it's against common sense, it has nothing to do with the cognitive world and won't cause any serious consequences. Therefore, according to the rules, you can't submit it to Mr. Evans."
The cognitive world was based on a sorcerer's deep understanding and exploration of the real world. Mathematics was just a tool, and it would not affect the stability of the cognitive world.
Before Levski could continue, Eric sighed again and said, "How about this? I'll mark the words' subversive 'and' mathematical 'on the surface of your paper. In this way, I'll send a copy of your paper to Mr. Evans, who is an authoritative figure in mathematics."
He knew that the members responsible for reviewing the paper had not changed much in the past few years. They had long hated Levski's paper. If Levski did not know that Mr. Evans, who had just joined the committee, was responsible for reviewing subversive papers, he might not have been so determined to submit the paper.
At least there was a glimmer of hope!
"Thank you, Eric …" Levski did not know what to say.
Eric waved his hand. "Go back and wait for the result. I hope your life can get back on track as soon as possible."
Levski nodded solemnly. He was both anxious and expectant. Would Mr. Evans review his paper fairly?
…
On the fifteenth floor of the magic tower, in a spacious and bright room.
Arms stretched out from both sides of the magic circle that was shining milky white from time to time, distributing the papers one by one.
"Mathematical? Subversive? Mr. Neeshka, Ms. Milina, Mr. Evans. "The metallic voice paused for a second and then made the decision.
…
In his cognitive world, starlight was hanging down, elements were running, and electrons were revolving. Lucien spread out his spiritual power and merged it with the starlight, elements, and snow in the form of waves. Then he vibrated carefully, gradually adding the property of "spiritual particles" to the instantaneous time.
Lucien was very cautious about this. The changes were very small, in case his spiritual power would go out of control and lead to the destruction of the whole cognitive world.
After a long time, Lucien finally finished his morning meditation. He left his bedroom, enjoyed his breakfast, and walked to the magic tower of the headquarter of the Congress of Magic.
"Hi, Lazar. Why are you smiling so happily today?" As soon as he entered the Atom Institution, Lucien saw Lazar, who never came early, pacing back and forth in the office alone with a bright but silly smile on his face.
"Ah? Lucien, you're early. "Lazar was startled, and then he said proudly," I can fly now! "
As he spoke, he flew up and almost hit the bright blue ceiling.
"Tsk. You've advanced into the middle rank. You have to invite us to celebrate." Lucien finally understood why Lazar was so excited, so he joked with him.
Lazar staggered to the ground and said delightedly, "There's definitely going to be a celebration party!"
Then, with a hint of gratitude, he said, "Thank you, Lucien. The cutting-edge studies in the field of elements with you in the past few months have deepened my understanding of elemental magic. The discovery of electrons in particular has stabilized my cognitive world a lot. That's why I was able to advance in advance before my mathematical abilities were improved."
"Why else would we explore the nature of the world?" Lucien joked, and then he said seriously, "But you can't ignore the improvement in mathematics. The further we advance, the more we rely on mathematics as a tool."
Lazar nodded hard, "Don't worry. I know where my problem lies. Speaking of which, after joining the Atom Institution, everyone's arcana level and magic abilities have been greatly improved. Annick, Sprint, and Katrina all told me that they're already capable of becoming real sorcerers. All they need is the accumulation of spiritual power and the help of potions."
During the time when Lucien was away, Lazar and the other sorcerers continued their experiments on cathode ray and the properties of low-temperature materials according to their previous arrangement. However, they were not as busy as before, so they could spare some time to do their own research.
"I'm glad to see that they've all grown up." Lucien said with satisfaction.
After chatting for a while, Lazar suddenly asked, "Lucien, what do you think of Mr. President's recent experiments?"
Lucien thought to himself, "If Mr. President's other theories are true, then the Aether Theory can be abandoned." Although many people would still come up with all kinds of theories to make up for the theory, Lucien did not expect that the Aether Theory would be the most popular one in the world right now.
"No wonder you're Lucien Evans, the one who likes to blow up other people's heads." Lazar joked, and he shared the "opinions" of many arcanists about Lucien.
"Maybe I'll have a related title in the future … Well, Lazar, I'll take a look at the committee member's office first, and then I'll go to my teacher's office to study. When I come back, we'll celebrate your promotion." Seeing that Rock, Heidi, and the rest of them had already arrived, Lucien decided to go to the Arcana Review Office. Although the iron golem would send the papers to his home in the evening, since he was already in the headquarter, he might as well take a look, in case the office was always empty.
… …
As soon as Lucien stepped into his luxurious office on the fifteenth floor, the iron golem greeted him and said in a metallic voice, "Master, a paper has just been delivered."
"A paper?" Lucien asked curiously. He didn't expect that there would be a paper, because the papers that he needed to review were all subversive, and there were not so many in the world of arcana. "Let me take a look."
Taking over the paper from the iron golem, Lucien saw the two words "subversive" and "mathematical". Lucien immediately had a direction. There were not many research results that were subversive in mathematics and in line with the current knowledge level.
"'A Strict Proof of Geometric Principles and Parallel Line Theorem' …"
Lucien browsed through the paper and found that it was a complete version. Slightly frowning, he said to the iron golem, "Go to the library and exchange for similar papers that have been submitted before. Well, also exchange them with the review of the committee members."
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