Throne of Magical Arcana

The winter sun passed through the thick clouds and passed the bright glass, shining on the astrological charts hanging in the study, leaving a pale yellow halo, warm and bright.

Nessica ’s young female student Samantha is still the same expressionless face that you owe me ten thousand arcane points: "Teacher, are you going to participate in the small seminar tomorrow morning?"

"Of course, why not? I have to refute Levsky and Lucian Evans fiercely, and I want the committee to stop accepting such worthless papers!" Nessica said angrily and sharply.

Samantha nodded gently, not caring about the teacher's anger at all: "Then I told your coachman to be ready tomorrow morning, and don't be late again."

When she was finished, she turned and left with a stack of documents, leaving Nessica angry at the paper and Lucien ’s assessment.

…………

In the villa surrounded by flowers, Mirina stood in front of the dressing mirror, looking at her with a sullen self in the corners of her eyebrows, lying quietly with a few pieces of torn paper under her feet, lowering her voice and saying: "Lucian Evans ... "

In her view, the tower geometry is the only geometric system, and there is no new geometry that is essentially different from it. Levski's paper is full of problems that can be seen at a glance because it violates the real world. But such a paper has received such a high evaluation from Lucien Evans. What revolution in calculus in the field of geometry, what is groundbreaking, breakthrough, popular, highly discussed, and will play an important role, is simply nonsense Eight ways, upside down black and white, trying to disguise a pile of cow dung as cream.

This is undoubtedly hitting your own face, hitting all the arcana masters who study mathematics and knowledge in the tower. There are only a handful of results of this evaluation in the field of mathematics!Even if you get the results of the Arcane Scepter, you have not received such a high evaluation!

Leaving the mirror, Mirina walked to the bookshelf, pulled out several of the papers she had published, and synthesized the ideas in it. She wrote a new paper.

After writing, she wrote the title: "On Parallel Lines" at the front of the paper.

As a rigorous mathematician and astrologer, she never fought unprepared battles!

And other authorities in the field of mathematics and sciences who have received the papers and evaluation results from Alchemy Life have read and read them, and they all have emotions and reactions similar to Nessica and Mirina. They were accused of criticizing Levski's papers. For their contribution, they still hold a negative attitude towards the deduction of reasoning that violates real experience and intuitive understanding.

…………

In the early morning, the haze dissipated for several days in a row, and the sky was rare and transparent.

Lucien carefully arranged her black double-breasted long dress, white shirt, and light yellow vest before the dressing mirror. After dozens of seconds, she carefully looked at it and confirmed that she was dressed properly and meticulously, before smiling, facing the mirror. He said to himself: "I have to change my style of acting today."

After speaking, Lucien took out the "element", "electronics" and "origin" of the Holm crown ring, and put them on the right thumb, middle finger, and little finger in an orderly manner. They were lilac, azure, and clear. Each other shines like a dream and is striking.

Then, Lucien took out the night sky-like deep, six silver star dazzling arcane badges, holding the feather badge of the audit committee badge, and put it on the left chest.

At the same time, the position of the right chest of the black double-breasted long dress transformed from the robe of the Immortal Throne highlights a distinctive mark, and the gorgeous throne is supported by bones.

Almost all members of the Arcane Review Committee have received the highest honor in the field of best, but like Lucian won three awards in the field, and those who took so many rings are still the minority of the minority, come today to participate in small mathematics At the conference, in addition to teacher Fernando, the two fields were the most, and they won two awards, so even if they did not take out the Ice and Snow Medal, they could overwhelm them. The only problem is that there is no "arcic power" that symbolizes the authority in the field of mathematics "Staff", it seems a bit professional.

Looking at the mirror again, Lucian picked up the black top hat hanging on the coat rack next to her and put it on her head while walking outside.

All the way through the street quietly, into the magic tower of the parliament headquarters, boarding the elevator, to the fifteenth floor, Lucien walked towards the scheduled meeting room without hurrying.

"Commissioner Evans?" Lucian heard a hoarse male voice just as she opened the door of the conference room.

Turning my head, I saw a magic robe that was quite old, or a middle-aged man in the style of a dozen years ago, who was standing a little restlessly on the nearby balcony, with a gray cigarette in his hand, a few strands of green Smoke burst out.

"Mr. Levski?" Lucien probably guessed who he was. "Why didn't I go in?"

Levsky's dry, bird's nest-like hair was slightly trimmed to make him look less decadent, and after hearing Lucien's question, he smiled bitterly: "I will be accused of irony by six members of the committee as soon as I enter. , So I was still waiting for the meeting to start outside, and I was a little nervous, just smoking a cigarette to calm down. "

Compared with Mu Na's autism some time ago, he seemed a little relaxed after being affirmed, and was able to express his meaning smoothly.

Lucien understood his situation and smiled softly: "Then are you ready? Are you ready to show them your new geometry in the face of their indifference, slander and attack?"

A trace of pain passed on Lefsky's face, not confidently saying: "I'm ready, but they ... I once spoke my thesis in front of all arcanists who are good at mathematics in the tower, that is the first When I proposed the new geometry concept, unfortunately, they did not respond, did not discuss, did not believe, in addition to being indifferent, slow, ridiculed and slammed, or indifferent, slow, ridiculed and slammed. . "

"I'm very confident in your new geometry, so I'm not afraid of any attacks." Lucien gave Leves confidence with his own attitude.

Levsky was excited again. The hardest thing to encounter in life is to understand yourself, to persevere, to understand your achievements: "Thank you, Commissioner Evans, you are the first person to accept my new geometry, and I gave such a high rating directly, and even I haven't described my thesis like this. Thank you, thank you ... "

He is a magician addicted to the world of arcane, not very good at words, only to thank and tremble.

At this time, Fernando, who was dragging the red magic robe on the ground, came to the meeting room and motioned the two to enter.

"Good morning, teacher, you are still here." After seeing Levski sit down, Lucian said hello to Fernando at the door of the meeting room.

Fernando's serious expression of discussing serious matters: "I read his paper. Although it violates intuitive experience and understanding, it is a bit interesting and a bit interesting."

Sure enough, it is never a boastful storm.

In the conference room, except Lucien, there are a total of six members. Compared with the fifteen or six people who held similar seminars in other large fields, there are far fewer members in the field of mathematics and science.

Although many committee members are good at multiple fields and can attend different discussion meetings, for example, Lucien can participate in elements and heat separately, but mathematics is only a tool, and it does not directly bring about changes in the cognitive world and enhancement of magic power. There are not many committees willing to delve into this field and become authoritative. Even if various reasons have not come, the entire committee is qualified to review only nine papers in mathematics and science.

"Commissioner Evans, I'm Nessica." Nessica, wearing a gray top hat, greeted Lucien without a smile, but only after seeing Lucien's three rings on his right hand and his right chest After the imprint of the Immortal Throne, his white long eyebrow moved slightly, subconsciously shaking the black scepter in his hand, deep as if it contained countless mysterious scepters.

Milina and others also got up to meet Lucian, and their attitude was not good, but not bad. After all, the special adviser who chaired and supervised the meeting today was Fernando, the storm, known for his rashness and faultlessness, and Most importantly, he is Lucien's teacher!No one wants to greet a stormy roar due to problems beyond academics!

Lucien saluted one by one and noticed that five of the six committee members belonged to the tower, and they all wore special-styled pointed gray hats, even the two ladies of Milina and Mapel, with a little quirky and funny sense.

"This kind of hat is really not suitable for women." Lucian sighed, deliberately sitting on the other side of the long table, directly opposed to the six members.

Fernando hated nonsense the most, and said straightforwardly: "For the article" Strict Proof of the Principles of Geometry and Parallel Lines Theorem "by Lefsky, Nessica, Milina, and Evans have opposite results, so we Convene this small seminar to make a final review of the papers of Levski. Next, let Levsky explain his paper first, and members can raise their hands to ask questions at any time. "

Levsky picked up the paper in silence and walked to the magic platform in front of the conference room. Just a few steps away, he suddenly tripped to the chair, made a loud sound, and stumbled and nearly fell.

"Huh." "Humph." Nesica, Mirina and others laughed and sneered, causing Levsky's face to flush quickly.

Efforts to quell his confusion, Levsky magnified and projected the thesis using magic array, began to explain his axioms, reasoning and deduction.

"Mr. Nessica, what's the problem?" Levski was interrupted by raising his hand after speaking of a deduced conclusion.

Nessica took his deep and dark arcane scepter and said indifferently and angrily: "You tell me why the sum of the three inner angles of the triangle is less than 180 degrees?"

"This is derived from the previous axioms and axioms." Levski pointed to the derivation that he said before.

Nessica sneered: "Then you can find a triangle model like this."

"This ..." Levsky said for a moment, this is a logical deduction of pure mathematics, and does not depend on the real thing.

Nessica spit out word by word, seeming to express her annoyance: "Since it cannot be found, contrary to reality, then prove that your paper is worthless! Completely wrong!"

When he had finished speaking, he sat down directly without giving Lefsky an opportunity to explain.

Lefsky seemed to have been beaten by frost and became scratchy, but he still raised his head diligently, staring at the unfriendly eyes below, and then inspired by Lucien's smile.

Fernando raised his hand: "Continue to explain."

So Levski took a deep breath and told the following, after a while, Milina raised her hand.

"Ms. Mirina, do you have any questions?" Levsky found himself shaking, and after so many years of experience, he guessed what Mirina wanted to ask.

Mirina has an arcane scepter inlaid with many star-like gems. She sneered: "Levsky, tell me why the vertical and diagonal lines of the same line do not necessarily intersect."

"This is from the previous director ..." Lefsky replied a little weakly, so Lucien couldn't help but shook his head. At this time, he needed momentum and overwhelmed the confidence of others.

Milina picked up the stack of papers in front of her, smiled and condensed, and said with a slight anger: "Please make such a line, or find a realistic model of it!"

"I haven't found ..." Levsky replied honestly and strickenly, "but from the premise and logic, it has no problem."

"This is your problem. You forgot that we live in the real world, not in your imagination!" Mirina blamed mercilessly, and then read her own paper, discussing Levsky's geometry and practical experience, Inconsistency intuitively recognized.

Each of her discourses seemed to be like a dagger thrown at Levsky, making him "blood dripping", his face turning white, and "shaky".

"My opinion is over," Mirina said indifferently, and no longer looked at Lefsky, as if he were a clown, deliberately creating a clown that exaggerated the quirky paper to attract others' attention.

"Continue to explain." Fernando indicated that Levski's paper still has a lot of unexplained.

Levsky was encouraged by Lucien's gaze, and his voice became weaker and talked about the following content.

A committee member raised his hand from time to time to ask questions, some distorted the meaning of Levski to prove his fallacy, and some followed the method of Milina and others to refute from a practical perspective. Since this question has been going on for more than ten years, Their tone was involuntarily brought with bitterness and a touch of malice, which made Levsky's face increasingly pale.

However, in such a bad atmosphere, Levski still insisted on explaining his thesis without interruption and giving up, and he was not annoyed to "swear".

Returning to his seat, Levsky closed his eyes and seemed to be able to foresee the final verdict. His paper still lacked a powerful model proof. Thinking of this, he opened his eyes and looked at Lucien, giving him a Sorry look, it's hurting you, Commissioner Evans.

"When Lefsky just explained, Nessica, Mirina and other members have raised questions and gave their own opinions and arguments, and then Evans, who has not spoken, will explain the reasons for his high evaluation." Fernando His eyes turned to Lucien, and he motioned to explain.

Lucien sorted out the neckline and took a stack of documents to the rostrum, walking steadily and not panicking.

"Commissioner Evans, if I were you, I would not persevere again. I understand your love for subversive results, but this still has to respect basic reality." Nessica said suddenly, if Lucien's teacher Not a storm master, he would never be so polite.

Lucien looked at him with a smile: "I only respect the truth."

Regardless of expression or tone, the committee members could see that the truth in his mouth was Levski's paper, so Milina gave a soft laugh, but without a slight smile, the cold was like the cold in the deep north. Feng: "Commissioner Evans, I don't think you know. If a reviewer makes an obvious, deliberate and unreasonable mistake in reviewing the paper, he will be disqualified."

"This is what I want to say to everyone." Lucien stood on the podium, his smile was plain, but his words were never soft.

Boom, as if something exploded in the heart, a committee member in the field of digital mathematics was full of anger, this is accusing and attacking us?

Fernando blinked a bit, wondering if his always elegant and polite students would say such provocative words. He secretly said, a bit abnormal, it seems that some people are in trouble ...

"Commissioner Evans, you still have to think about how to transform the imaginary geometry into reality." Another female commissioner, Mabel, mocked her. She was ordinary, old-fashioned and serious, wearing a gray top hat, just like the church's Old nun.

The black hair is messy, and it seems that he does not like to care for himself. The middle-aged man Salguero pinches his face with his left thumb and forefinger, and his voice is low. What is your reason for the calculus revolution in geometry? Can you prove his correctness? "

"You have no achievements in the field of mathematics and science. I seriously doubt your ability to review this paper." Nessica, who spoke first, directly questioned Lucien's mathematical standards.

Enraged by Lucien's words, every committee member became a combative rooster.

Lucien raised his hand and squeezed, and his voice was loud: "For questions about my mathematical standards, please ask the committee after I finish explaining."

Then he slightly growled and said: "From now on, everything except the paper will disappear. You are the audit committee, not the children!"

Shocked by this sudden roar, the meeting room became quiet.

Lucian looked around the conference room, nodded slightly to Lefsky, and then said loudly: "When I tell the reason, I am not allowed to ask questions or interruptions. All the questions will be asked after the end of the talk, but I When telling, you will be asked questions, please answer honestly, worthy of the chest badge and the starry sky above your head! "

The committee members were silent and could not find a reason to refute Lucien. As an audit committee, as the winner of the three Holm Crown Awards and one Immortal Throne Awards, he was qualified to make certain reasonable demands, and his momentum Like a storm that is poised to go, it's a choice to eat, and it makes people subconsciously not want to anger him on small issues.

"Since everyone has no objection, it is considered to be agreed." Lucien looked at the teacher and mastered the storm.

Fernando said with a straight face: "Then follow the instructions of Commissioner Evans."

Lucien turned around and manipulated the magic circle to display only the original axioms and axioms on the projection:

"Commissioner Nessica, I ask you, are these axioms and axioms wrong?"

Nessica's reflexive response: "This is different from the real world."

"Commissioner Nessica, forget the sunshine outside, forget the outside world, forget the content at the back of this paper, you honestly answer, are these axioms and axioms wrong?" Lucien shouted sharply.

Nessica was suppressed by Lucian's momentum, and looked closely. Isn't this the five axioms and four axioms of the geometry of the tower, and the assumptions made by Levski? There is nothing wrong with the axiom, but the last one is ridiculous. "

"This is the anti-evidence law, don't you know the anti-evidence law?" Lucien shouted again.

The white eyebrows flickered, and Nessica could not make herself like a stupid idiot, a fool who had never studied mathematics: "That's no problem."

"Do you think there is something wrong? Stand up bravely if you have one!" Lucien was like a class in a magic school, facing a magic apprentice, imposing.

How could this be wrong, the other committee members shook their heads.

So Lucian projected a few lines again, and it turned out to be Levski's thesis.

"Commissioner Milina, do you think there is a premise and logical error in this section of reasoning?" Lucien looked at Milina sternly.

Mirina got up and sneered: "This is different from reality, I can't find ..."

"Forget them! I said forget them! Only consider presuppositions and logical deductions, only pure mathematical problems!" Lucien roared and interrupted Mirina's words, "Tell me that this reasoning is logical Is it wrong? "

Mirina was snarled and did not know how to refute it, deduced it carefully, and shook her head: "There are no logical errors and loopholes, and no other equivalent propositions are used as conditions."

"Very good." Lucien motioned for her to sit down, and then projected a few lines again. "Commissioner Mappel, do you think there is a premise and a logical error in this reasoning?"

In this way, Lucien asked section by section, roaring again and again, making the committee members forget other factors over and over, and only considered the problems of simple axioms and logical deduction.

Roaring, listening to questions, and answering any mistakes, Nessica and other members ’faces gradually began to turn blue, and there seemed to be a little bit of cold sweat on his forehead, while Levsky was refreshed, as if every time Lucien Roaring, every time the committee members answered, he was instilling confidence and joy, and Fernando nodded thoughtfully.

As the last few lines of the thesis were projected, Lucian's eyes turned to Nessica with a low voice: "Commissioner Nessica, are there any loopholes in logical interpretation and errors in presuppositions?"

Nessica clenched her hands, feeling the dampness of her palm vaguely. He swallowed a spit, daring not to mention reality again, and shiveringly said, "There are no loopholes, no mistakes."

"Very good, no loopholes, no mistakes." Lucian looked at the six committee members and seemed to be talking to herself.

Suddenly, he roared with the loudest voice, as if the storm had come:

"Since there are no mistakes in every place, then tell me what is wrong with this paper ?!"

"Tell me, what's wrong with it ?!"

Mirina was taken aback, and subconsciously replied: "Contrary to our intuitive knowledge and practical experience ..."

"Throw them out of your brain!" Lucian roared and interrupted. "Tell me, in terms of pure mathematics, in terms of assumptions and logical deductions, what's wrong with it?"

"What's wrong?"

Nessica, Mirina, and others were silent, not knowing how to answer them, not mentioning reality or experience, and indeed could n’t find premises and logical errors.

Levsky held both hands tightly, his head slightly raised, and closed his eyes, his face full of complex emotions, joy and sorrow, pain and hope.

"Lucian Evans' roar really has the dominance of the storm, and is worthy of his students."

"Is another storm dominating?"

Somehow, Milina and others didn't think about the refutation in their heads, but suddenly these ideas came up.

Fernando shook his head and said to himself in amusement: "I have no illegitimate children."

Lucien saw that his momentum made them unable to organize a counterattack for a while, so he took advantage of the pursuit and put another paper in his hand into the magic circle. Then he adjusted the magic circle and displayed it together with Levski's paper.

"" An Attempt to Explain the Geometry of Non-Tower Towers ... "" Mirina saw the title of the thesis and read on.

The papers are displayed page by page, but instead of replacing the previous content, they are displayed side by side around the conference room.

Nessica rubbed her brow, wondering: "The knowledge of differential geometry used ..."

Mapel, Salguero, and other members also read it, and when they read it, their faces became pale, a drop of cold sweat slipped off their foreheads, and their hands almost held an unstable quill pen.

"This is ..." Levski jumped, as if to see the goddess of magic appearing in front of himself.This is a model of your own new geometry!This is a "hyperboloid" model that exceeds normal imagination and intuitive understanding!This is the most powerful proof!

He was crying silently, seeing the sun rising, the darkness subsided, and hope coming.

Suddenly, another paper appeared, quite simple, using the concept of projection to prove the compatibility of Levsky geometry and tall tower geometry on the unit circle. If the tall tower geometry holds true, then the Levsky geometry also holds true. !

Simple deductions, wonderful proofs, full of mathematical beauty, there is no more evidence to shock Nessica and other members than it!

I'm not wrong, I have always been on the right path!Levsky screamed wildly in his heart.

At this time, Lucian's voice rang softly in their ears: "As we all know, we can only see light in a certain frequency range, beyond this range, we can't feel it directly, we can only rely on other tools. Judgment, and other tools also have limits. "

Because some of the pre-mathematical results required for the paper did not come out, Lucian deduced it and gave it by himself, which was a bit more complicated than the original paper, but this did not prevent members such as Milina from understanding it. They watched and heard the road. Sean's words raised a strong doubt in his heart. What does he say now?

"So, in a specially arranged light scene, our eyes will be deceived due to their own limitations, resulting in hallucinations. This is the principle of partial illusion."

Although doubtful, Nessica, Levski and others nodded and were right.

Lucian continued to say softly, "The same is true of our ears. Sound waves beyond a certain range cannot be heard. Under certain conditions, it will be disturbed and produce auditory hallucinations."

"Our knowledge, our experience, is limited by the structure of our bodies and souls, and there will be a certain degree of limitation. I believe everyone will transform and transform into the world felt by different kinds of creatures and the world we feel now. Is it the same? "

"Different." Levsky replied affirmatively, although many metamorphosis relies on an understanding of physiology and anatomy, like before knowing that bats rely on ultrasound for path detection instead of eyes, deformed bats have errors in this regard But the metamorphosis from the original magic pattern still allows the magicians to partially understand the world that different creatures feel.

Lucien smiled and looked at the confused Mirina and others: "Are we right or are they right? Obviously, this is the same thing from different angles, everyone is right, and they are all part of the truth, Therefore, our experience and our understanding are limited. "

"And our imagination is based on our experience, and limited experience binds our imagination and makes it not omnipotent. The deeper we explore the world, the more things we will find we can't imagine at all, It completely violates our intuitive understanding. "

Fernando nodded solemnly, probably understanding what Lucien meant.

Nessica, Mirina, Levski and others were a little confused and looked straight at Lucien.

Lucian raised her right hand and his expression became serious:

"So, your eyes will deceive you, your ears will deceive you, your experience will deceive you, and your imagination will deceive you too."

Speaking of which, he paused for a moment and pointed his right finger at the paper projected on the wall in the eyes of everyone, pointing to the logical interpretation and conclusion, whispering:

"But math doesn't."