The winter sun shines through the thick clouds, through the bright glass, and shines on the astrological charts hanging in the study, leaving a light yellow halo, warm and bright.
Samantha, the young female student of Nesica, still has the same expressionless look as you owe me 10,000 arcane points: "Teacher, do you want to attend tomorrow morning's mini-seminar?"
"Of course, why don't I refute Levsky and Lucian Evans so hard that the committee will not accept such worthless papers," Nesica said irritated and scathing.
Samantha nodded slightly, completely ignoring the teacher's anger: "Then I tell your coachman to be ready tomorrow morning, not to be late again." ” With that, she turned away with a stack of papers, leaving Nesica herself angry at the paper.
In the villa surrounded by flowers, Mirina stood in front of the dressing mirror, looking at herself with anger at the corners of her eyebrows and eyes, a few pieces of torn paper lying quietly under her feet, and said fiercely in a low voice: "Lucian Evans" In her opinion, tower geometry is the only geometric system, there is no new geometry that is fundamentally different from it, Levsky's paper is full of shallowness and seems to be a problem at a glance, because it is contrary to the real world, and such a thesis has been so highly praised by Lucian Evans, what the calculus revolution in the field of geometry, what pioneering, breaking through, popularizing, and discussing will play an important role, is simply nonsense, reversing black and white, trying to disguise a pile of cow dung as cream.
This is undoubtedly a slap in the face, a slap in the face of all the Arcanists who study mathematical knowledge in the Tower, and in the field of mathematics, there are only a handful of achievements with this kind of evaluation, even if they get the results of the Arcane Scepter, they have not received such a high evaluation Leaving the mirror, Mirina walked to the bookshelf, pulled out several papers she had published, synthesized the ideas in them, and wrote a new one.
After she finished writing, she wrote the title at the beginning of the paper: On Parallel Lines.
As a rigorous mathematician and astrologer, she never fights unprepared The other authorities in the field of mathematics and physics who received the papers and evaluation results sent by Alchemy Life had similar emotions and reactions to Nesica and Mirina, and they also contributed to the criticism of Levsky's paper at the beginning, and they still had a negative attitude towards this reasoning and deduction that violated experience and intuitive understanding.
In the early morning, the haze that had been in place for several days dissipated, and the sky was rarely transparent and clear.
Lucien leisurely sorted out his black double-breasted long dress, white shirt, and light yellow vest in front of the dressing mirror, and after dozens of seconds, he looked carefully to confirm that he was dressed appropriately and meticulously, and then smiled and said to himself in the mirror: "I have to change my style of acting today." ” After speaking, Lucien took out Holm's crown rings "Element", "Electronic", and "Origin", and put them on the thumb, middle finger, and little finger of his right hand in an orderly manner.
Then, Lucien took out the Arcane Badge as deep as the night sky and the six silver stars shining brightly, and the Judge Badge with a quill in his hand, and wore it on his left chest.
At the same time, the right chest of the black double-breasted long gown transformed into the magic weapon of the Immortal Throne highlights a stark mark of the gorgeous throne supported by white bones.
Almost all the members of the Arcane Review Committee have won the highest honors in the field they are best at, but those like Lucian who have won awards in three fields and have won so many rings are still a minority of the few, and those who came to participate in the small mathematical conference today, except for the teacher Fernando, have only won two fields at most, and they have won awards twice, so even if they don't take out the Ice and Snow Medal, they can overwhelm them in momentum, the only problem is that there is no "Arcane Scepter" that symbolizes the authority of the field of mathematics and physics, which seems to be a bit of a professional mismatch.
Looking in the mirror again, Lucien picked up the black top hat hanging from the coat rack next to him, put it on his head, and walked out the door.
Quietly through the streets, into the Magic Tower of the Council Headquarters, and up the elevator to the fifteenth floor, Lucien walked unhurriedly towards the predetermined meeting room.
"Commissioner Evans" was about to push open the door of the conference room when Lucien heard a hoarse male voice.
Turning his head to look, he saw a middle-aged man in a magic robe that was quite old, still in the style of more than ten years ago, standing on the nearby balcony with a little restraint and anxiety, holding an ordinary gray-white cigarette roll in his hand, and a few wisps of green smoke curling out.
"Mr.
Levsky" Lucien probably guessed who he was, "why didn't he go in" Levsky's withered yellow bird's nest-like hair was slightly tidied to make himself look less decadent, and he smiled bitterly: "As soon as I entered, I would be accused of sarcasm by the six committee members, so I still waited outside for the meeting to start, and I was a little nervous, just to smoke a cigarette to calm down." ” Compared with Mu Ne's self-isolation some time ago, he seems to be a little more relaxed after being affirmed, and he can express his meaning fluently.
Lucien understood his situation and smiled gently, "Are you ready to face their indifference, slander and attacks and show them your new geometry?"
A trace of pain crossed Levsky's face, and he said unconfidently: "I'm ready, but they I once spoke about my paper in front of all the arcanists in the tower who were good at mathematics, and that was when the new concept of geometry was first proposed, but unfortunately, they didn't respond, they didn't discuss, they didn't believe, except for indifference, contempt, ridicule and criticism, or indifference, contempt, ridicule and criticism, I am afraid that it will affect you Commissar Evans." ” "I'm confident in your new geometry, so I'm not afraid of any attacks."
Lucien used his attitude to give Levsky confidence.
Levsky became excited again, and the most difficult thing in life to meet was someone who understood himself, understood his persistence, and understood his results: "Thank you, Commissioner Evans, you were the first person to accept my new geometry, and you gave such a high evaluation directly, even I myself did not describe my thesis in this way, thank you, thank you" He is a magician who is obsessed with the arcane world and is not good at words, tossing and turning only thanks and slight tremors.
At this time, Fernando, who was dragging his red magic robe on the ground, walked to the conference room and motioned for the two to enter.
"Good morning, teacher, you're still here."
After seeing Levsky sit down, Lucien greeted Fernando at the door of the conference room.
Fernando had a serious expression on his face when discussing serious things: "I read his papers, and although they contradict intuitive experience and understanding, they are a little interesting and interesting. ” Sure enough, he never praised the storm lord of man.
In the conference room, there were six members in total, except for Lucian, which was much smaller than the fifteen or sixteen members in other major fields when similar discussions were held.
Although many committee members are good at multiple fields and can attend different discussion meetings, such as Lucien can participate in the elements and heat respectively, but mathematics and physics are only tools, and do not directly bring about changes in the cognitive world and the improvement of magical strength, and there are not many committee members who are willing to delve into this field and become an authority, even if they do not come for various reasons, there are only nine members of the entire committee who are qualified to review papers in mathematics and physics.
"Commissioner Evans, I'm Nessica."
Nesica, who was wearing a gray top hat, greeted Lucian without a smile, but after seeing the three rings on Lucian's right hand and the immortal throne mark on his right chest, his long white eyebrows moved slightly, and he subconsciously shook the black scepter in his hand, which seemed to contain countless mysteries.
Mirina and the others also got up to greet Lucian, the attitude was not good, but it was not bad, after all, the special adviser who presided over and supervised the meeting today was Fernando, the master of the storm, known for being irritable and ruthless, and most importantly, he was Lucian's teacher, and no one wanted to have a stormy roar due to non-academic issues Lucien returned the salute one by one, noting that five of the six members belonged to the Tower, and they all wore special styles of pointed gray hats, even the two ladies Mirina and Marpel, with a faint sense of weirdness and comical.
"This kind of hat really doesn't fit a woman's surname."
Lucien sighed, and deliberately sat down on the other side of the long table, opposite the six commissioners.
Fernando hated nonsense the most, and said bluntly: "Commissioner Nessica, Commissioner Mirina, and Commissioner Evans have opposite results for the paper on the rigorous proof of Levsky's principle of geometry and the theorem of parallel lines, so we have convened this small discussion to make a final ruling on Levsky's paper, and then, Levsky will explain his paper, and the members can raise their hands to ask questions." ” Levsky picked up the paper in silence and walked towards the magic platform in front of the conference room, and just a few steps away, he suddenly tripped over a chair, made a loud noise, and stumbled and almost fell.
"Huh."
"Hmph."
The ridicule and sneers of Nesica, Mirina, and others rang out one after another, causing Levsky's face to quickly turn red.
Trying to calm his panic, Levsky used the magic array to magnify and project his own papers, and began to explain his own public assumptions, reasoning, and deductions.
"Mr.
Nesica, what's the problem," Levsky interrupted with a raised hand as he spoke of a deductive conclusion.
Nesicaa held her 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 one hundred and eighty degrees."
"This is based on the previous axioms and assumptions."
Levsky pointed to the derivation that had been talked about earlier.
Nesika snorted coldly, "Then you find a triangular model like this." ” "This" Levsky was momentarily speechless, this is a logical derivation of pure mathematics, which does not depend on the real thing.
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Nesica spit out word by word, as if trying to express the anger in her heart: "Since you can't find it, it goes against reality, then it proves that your paper is worthless and completely wrong" After saying that, he sat down directly, without giving Levsky a chance to explain.
Levsky shrugged as if he had been beaten by frost, but he struggled to raise his head to meet the unfriendly gaze below, then was encouraged by Lucian's smile and nod.
Fernando raised his hand: "Continue to explain." ” So Levsky took a deep breath and explained below, and after a while, Mirina raised her hand.
"Lady Milena, what questions do you have" Levsky found himself trembling a little, so many years of experience that he could guess what Milena wanted to ask.
In Mirina's hand was an arcane scepter studded with many star-like gems, and she sneered, "Levsky, tell me why perpendicular and diagonal lines of the same line don't necessarily intersect. ” "This is a deduction from the previous one" Levsky said a little weakly, seeing that Lucien couldn't help but shake his head, at this time you need momentum, you need to overwhelm the confidence of others.
Mirina picked up the stack of papers in front of her, smiled, and said with a hint of anger: "Please make such a line, or find a realistic model of it" "I haven't found it yet," replied Levsky honestly and with a blow, "but precedently and logically, there is nothing wrong with it." ” "It's your problem, you forget that we live in the real world, not in the imagination," Mirina reproached mercilessly, then read her own paper on the inconsistency between Levsky's geometry and real experience and intuitive understanding.
Each of her statements seemed to be like a dagger thrown at Levsky, piercing him "drenched in blood" and his face turned pale and "crumbling."
"I'm done."
Mirina said indifferently, not glancing at Levsky again, as if he were a clown, a clown who deliberately made exaggerated and quirky essays to attract the attention of others.
"Keep explaining."
Fernando indicated that there was still much left unexplained in Levsky's thesis.
Levsky received an encouraging look from Lucien, and his voice became a little weaker.
One committee member raised his hand to ask questions from time to time, some distorted Levsky's meaning to prove his fallacy, and some followed the method of Mirina and others to refute from a realistic angle.
However, in such a harsh environment, Levsky still insisted on finishing his thesis, did not interrupt and give up, and did not get angry and "scolded".
Returning to his seat, Levsky closed his eyes, as if he could foresee the final ruling, his thesis still lacked a strong model to prove it, thinking of this, he opened his eyes, looked at Lucian, and gave him an apologetic look, I'm sorry for you, Commissioner Evans.
"When Levsky gave a lecture just now, members such as Nesika and Mirina had already raised questions and given their own opinions and arguments, and then Member Evans, who had not yet spoken, explained the reasons why he gave high praise."
Fernando turned his gaze to Lucien and motioned for him to come up to the stage to explain.
Lucien straightened his neckline and walked up to the podium with a stack of papers, his steps steady and unhurried.
"Commissioner Evans, if I were you, I wouldn't insist anymore, I understand your love for subverting the results, but this still respects the basic reality."
Nesica suddenly spoke, saying that if Lucien's teacher wasn't the Storm Master, he wouldn't have been so polite.
Lucien looked at him with a smile: "I only respect the truth. ” Regardless of his expression or tone, the committee members could see that he was really referring to Levsky's paper, so Mirina laughed lightly, but without the slightest smile, it was as cold as the cold wind in the depths of the Northland: "Commissioner Evans, I don't think you know, if a reviewer makes an obvious, deliberate, and unjustified mistake in reviewing a paper, he will be disqualified. ” "That's what I want to say to you."
Lucien stood on the podium, his smile flat, but his words were by no means soft.
Boom, as if something was blowing up in my heart, a member of the committee in the field of digital science was full of anger, which was accusing and attacking us Fernando blinked, a little puzzled that his always elegant and polite student would say such a provocative remark, and he secretly said in his heart, a little abnormal, it seems that some people are in trouble "Commissioner Evans, you better think about how to turn your imaginary geometry into reality."
Another female commissioner, Marpel, mocked, saying that she was ordinary, old-fashioned and serious, and wore a gray-topped hat, like an old nun of the church.
The middle-aged man, who had messy black hair and didn't seem to like to take care of himself, pinched his face with his left thumb and forefinger, and said in a low voice: "I'm curious to know why you called Levsky's thesis a revolution in calculus in the field of geometry, and do you have any reason why you can prove him right?"
"You don't have much success in the field of mathematics and physics, and I seriously doubt your ability to review this paper."
Nessica, who was the first to speak, directly questioned Lucian's mathematical skills.
Enraged by Lucian's words, each of the commissioners turned into aggressive roosters.
Lucien raised his hand and pressed it, and his voice was loud: "For questions about my mathematical level, please raise them to the committee after I finish explaining." ” Then he said with a slight roar: "From now on, everything except the paper will disappear, you are the reviewers, not children."
Shaken by the sudden roar, the conference room briefly fell silent.
Lucien looked around the conference room, nodded slightly to Levsky, and then said in a loud voice: "When I tell the reason, I am not allowed to ask questions, I am not allowed to interrupt, all the questions are asked together after the explanation, but when I speak, I will ask you questions, please answer honestly, worthy of the committee badge on your chest and the starry sky above your head."
The commissioners were silent, unable to find a reason to refute Lucien for a while, as a member of the review committee, as a three-time winner of the Holm Crown Award and a one-time Immortal Throne Award, he was qualified to make certain reasonable demands, and his momentum was like a storm ready to erupt, choosing people to devour, so that people subconsciously did not provoke him on small issues.
"Since there is no objection, then it is considered to be agreed."
Lucien looked at the teacher, Storm Juggernaut.
Fernando said with a straight face: "Next, I will do what Commissioner Evans said." ” So Lucien turned around and threw himself into the magic array, so that only the original axioms and postulates were shown on the projection: "Commissioner Nesica, let me ask you, are these axioms and axioms wrong?"
Nesica reflexively replied: "It's different from the real world. ” "Commissar Nessica, forget the sun outside, forget the outside world, forget the rest of this paper, you answer honestly, are these axioms and justices wrong?"
exclaimed Lucian.
Nesicaa was suppressed by Lucian's momentum, and looked carefully, isn't this the five axioms and four axioms of tower geometry, as well as the hypothesis proposed by Levsky, so she nodded and replied: "There is nothing wrong with the previous axioms and axioms, but the last one is ridiculous." ” "This is the law of counter-evidence, don't you know the law of counter-evidence," Lucien shouted again.
The white eyebrows twitched, and Nessica couldn't help herself like an ignorant idiot, a fool who hadn't studied math: "That's no problem. ” "Do you think there is a mistake, stand up bravely" Lucien is as imposing as he is in a magic school and facing a magic apprentice.
How could there be a mistake in this, the other commissioners shook their heads.
So Lucien projected a few lines again, and sure enough, it was Levsky's thesis.
"Commissioner Milina, do you think there is a premise and logic error in this reasoning?"
Lucien glared sternly at Milena.
Mirina got up and sneered: "This is different from reality, I can't find it" "Forget about them, I said forget that they only consider presuppositions and logical deductions, and only consider purely mathematical problems," Lucien snarled and interrupted Milena, "Tell me, is there a logical error in this paragraph of reasoning?"
Mirina, who was confused by the roar, did not know how to refute it, carefully deduced it in her heart, shook her head, and said: "There are no logical errors and loopholes, and other equivalent propositions are not used as axioms. ” "Good."
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Lucien motioned for her to sit down, and then projected a few lines again, "Commissioner Marpel, do you think there is a premise and logic error in this reasoning?"
In this way, Lucian's inquiries and rants again and again made the committee members forget other factors and consider only simple axiomatic axioms and logical deductions.
Under the roar, listening to the questions, and answering whether there were any mistakes, the faces of the members of Nesica and the other committees gradually turned a little blue, and there seemed to be a little cold sweat on their foreheads, while Levsky was in good spirits, as if every roar of Lucian, every answer of the committee members, was instilling confidence and joy in him, and Fernando nodded thoughtfully.
As the last few lines of the paper were projected, Lucien turned his gaze to Nesica, and said in a low voice: "Commissioner Nesica, is there any logical deduction hole in this paragraph, and there is no error in the premise. ” Nesica's hands were clenched, and he could vaguely feel the wetness of his palms, he swallowed a mouthful of saliva, did not dare to mention the reality again, and said with a slight trembling: "There are no loopholes, no mistakes." ” "It's good, no loopholes, no bugs."
Lucien looked at the six commissioners and seemed to be talking to himself.
Suddenly, he roared in the loudest voice, as if a storm had descended: "Since there are no mistakes in every place, tell me what is wrong with this paper."
"Tell me what's wrong with it" Mirina was taken aback and subconsciously replied: "It is contrary to our intuitive understanding and real experience" "Throw them out of your head," Lucien interrupted with a growl, "tell me what exactly is wrong with it in pure mathematics, in terms of premise assumptions and logical deductions" "What's wrong" Nesica, Mirina, and the others were silent, not knowing how to answer, not mentioning reality, not mentioning empirical understanding, lacking the premise and logical errors.
Levsky's hands were clenched tightly, his head was slightly raised, his eyes were closed, and his face was full of mixed emotions, including joy and sorrow, pain and hope.
"Lucien Evans' roar really has the momentum of a storm master, worthy of his student."
"Another Storm Master" For some reason, instead of thinking about the words of rebuttal, these thoughts suddenly popped into the heads of Mirina and the others.
Fernando shook his head and said to himself amusefully, "I don't have any illegitimate children." ” Lucien saw that his momentum made them unable to organize a counterattack for a while, so he took advantage of the victory to pursue, put another paper in his hand into the magic array, and then adjusted the magic array, and displayed it with Levsky's paper.
"An attempt to explain the geometry of non-towers" Mirina saw the title of the paper and read it.
The papers are displayed page by page, but instead of replacing the previous content, they are displayed side by side around the conference room.
Nesica rubbed her brow and said suspiciously: "Use the knowledge of differential geometry" Marpel, Salguero and other committee members also read along, and as they read, their faces turned pale, drops of cold sweat slipped from their foreheads, and their hands almost lost their hands holding quills.
"This is," Levsky jumped up, as if he saw the goddess of magic appear in front of him, this is the model of his new geometry, this is beyond the normal imagination and intuitive understanding of the "hyperboloid" model, this is the most powerful proof He wept silently, and truly saw the sun rise, the darkness receded, and hope came Suddenly, another paper appeared, quite simple, which used the concept of projection to prove the compatibility of Levsky geometry with tower geometry on the unit circle, and if the tower geometry is true, then the Levsky geometry is also true The concise derivation, the wonderful proof, and the beauty of mathematics are imbued with nothing more shocking than the proof of Nesika and other commissioners I'm not wrong, I've always been on the right path, Levsky cried out in his heart.
At this time, Lucian's voice sounded 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 to judge, and other tools also have limits. ” Due to the fact that some of the pre-mathematical results required for the paper did not come out, Lucien deduced and gave it by himself, which was a little more complicated than the original, but it did not prevent Mirina and other committee members from understanding it, and while they were reading, they heard Lucian's words, and their hearts were full of doubts, what is he saying now "Therefore, in a specially arranged scene, our eyes will be deceived due to their own limitations and produce hallucinations, which is the principle of some illusions."
Although they were puzzled, Nesika, Levsky and the others all nodded, which was correct.
Lucien continued to say in a soft voice, "In the same way, our ears are the same, sound waves beyond a certain range cannot be heard, and they will be disturbed, resulting in auditory hallucinations. ” "Our knowledge, our experience, is limited by the structure of our body and soul, so there will be a considerable degree of limitations, I believe that everyone will be transfigured, transform into different kinds of creatures, and the world that we feel is the same as the world we feel now?"
"Different."
Levsky replied in the affirmative that while many transfigurations rely on physiological anatomical understanding, such as the bias of the transformed bats before it was known that bats rely on ultrasound to find their way instead of their eyes, transfiguration from primitive magical patterns still allows magicians to understand the world that different creatures feel.
Lucien smiled and said in the eyes of the confused Mirina and the others: "Is that our right, or they are correct, it is obvious, this is to look at the same thing from different angles, everyone is right, they are all part of the truth of the matter, therefore, our experience, our understanding is limited." ” "And our imagination is based on our experience, and limited experience restricts our imagination so that it is not omnipotent.
The deeper we explore the world, the more we will find many things that we can't imagine at all, completely contrary to our intuitive understanding. ” Fernando nodded solemnly, probably understanding what Lucien meant.
Nesica, Mirina, Levsky and the others were still a little confused, and they all looked straight at Lucian.
Lucien raised his 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 likewise."
At this point, he paused, pointed his right hand at the paper projected on the wall, pointed to the logical deduction and conclusion, and whispered: "But math doesn't
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