The winter sunshine passes through the thick clouds, passes through the bright glass, and shines on the astrological charts hanging in the study, leaving a light yellow halo, warm and bright.
Nesika's young female student Samantha still had the expressionless look of "You owe me 10,000 arcane points": "Teacher, do you want to participate in the small discussion meeting tomorrow morning?"
"Of course, why not? I will refute Levsky and Lucien Evans fiercely, and I will make the committee no longer accept such worthless papers!" Nesika said angrily and sharply.
Samantha nodded slightly, not caring about the teacher's anger at all: "Then I'll tell your coachman to get ready tomorrow morning and don't be late again."
After saying that, she turned around and left with a stack of documents in her arms, leaving Nesika looking at the paper angrily.
…………
In the villa surrounded by flowers, Myrina stood in front of the full-length mirror, looking at herself with a sullen expression on her brows and eyes. There were several torn pieces of paper lying quietly at her feet, and she lowered her voice and said harshly: "Lucien Evans"
…”
In her opinion, tower geometry is the only geometric system, and there is no new geometry that is essentially different from it. Levsky's paper is full of superficial problems that can be seen at a glance, because it goes against the real world, and
Such a paper was so highly praised by Lucien Evans. What kind of revolution in calculus in the field of geometry, what kind of groundbreaking, breakthrough, popular, highly discussable, will play an important role is simply nonsense.
, confusing right and wrong, trying to disguise a pile of cow dung as butter.
This is undoubtedly a slap in the face, and a slap in the face of all the arcane masters in high towers who study mathematical knowledge. In the field of mathematics, there are only a handful of achievements with this kind of evaluation! Even if I get the achievement of the arcane scepter.
Received such high praise!
Leaving the mirror, Milina walked to the bookshelf, pulled out several papers she had published, synthesized the opinions in them, and wrote a new paper eloquently.
After finishing writing, she wrote the title at the beginning of the paper: "On Parallel Lines".
As a rigorous mathematician and astrologer, she never fights without preparation!
Other authorities in the field of mathematics and physics who received the paper and evaluation results sent by Alchemy Life, after roughly reading it, had emotions and reactions similar to those of Nesika and Milina. They were also the ones who initially criticized Levsky's paper.
A contribution, they still hold a negative attitude towards this reasoning and deduction that goes against experience and intuitive understanding.
…………
In the early morning, the haze that had lasted for several days dissipated, and the sky became rarely transparent and clear.
Lucien leisurely arranged his black double-breasted gown, white shirt, and light yellow vest in front of the full-length mirror. After doing it for dozens of seconds, he looked carefully and made sure that he was dressed appropriately and meticulously. Then he smiled and looked at the reflection in the mirror.
He said to himself: "I have to change my behavior today."
After saying that, Lucien took out the Holm crown rings "Element", "Electronic" and "Origin". He put them on the thumb, middle finger and little finger of his right hand in an orderly manner, with lavender and azure blue, and a clear and translucent brilliance.
They complement each other like a dream and are extremely eye-catching.
Then, Lucien took out an arcane badge with six silver stars that were as deep as the night sky, and an audit committee badge holding a quill, and wore it on his left chest.
At the same time, the right breast of the black double-breasted gown transformed from the magic weapon of the Immortal Throne highlighted a distinct mark, a gorgeous throne supported by white bones.
Almost all members of the Arcane Review Committee have received the highest honors in their fields of expertise, but those like Lucien who have won three field awards and so many rings are still among the few. Come today to participate in the small mathematics and physics competition.
Apart from teacher Fernando, the attendees at the conference only had two awards in two fields at most, so even if they didn’t take out the Ice and Snow Medal, they could still be overwhelming in terms of momentum. The only problem was that there was no “Arcane Power” that symbolizes authority in the field of mathematics and physics.
"Stick" seems a bit unprofessional.
Looking in the mirror again, Lucien picked up the black top hat hanging on the coat rack next to him, put it on his head, and walked out the door.
He walked quietly across the street, entered the Magic Tower of the Parliament Headquarters, climbed the elevator, and reached the fifteenth floor. Lucien walked leisurely towards the reserved conference room.
"Commissioner Evans?" Just as he was about to open the conference room door, Lucien heard a hoarse male voice.
Turning around, I saw a middle-aged man whose magic robe was quite old and was still the same style more than ten years ago. He was standing on a nearby balcony a little nervously. He held a gray-white ordinary cigarette in his hand and a few wisps of green.
Smoke curled up.
"Mr. Levsky?" Lucien probably guessed who he was, "Why didn't you go in?"
Levsky's withered and yellow bird's nest-like hair was slightly arranged to make him look less down and out. He smiled bitterly: "I will be accused of being sarcastic by the six committee members as soon as I enter, so I still wait outside for the meeting to start.
And I was a little nervous, so I just had a cigarette to calm down."
Compared with the dull and autistic state some time ago, he seemed to be a little more relaxed after receiving the affirmation and was able to express himself fluently.
Lucien understood his situation and smiled gently: "Then are you ready? Are you ready to face their indifference, slander and attack, and show them your new geometry?"
A trace of pain flashed across Levsky's face, and he said unconfidently: "I'm ready, but they... I once lectured on my thesis in front of all the arcanists who are good at mathematics and physics in the tower, and that was the first time.
When the new geometric concept was first proposed, unfortunately, they had no response, no discussion, and no belief. Instead of being indifferent, contemptuous, ridiculing, and criticizing, they were still indifferent, contemptuous, ridiculing, and criticizing. I'm afraid that the wait will implicate you, Commissioner Evans.
"
"I have great confidence in your new geometry, so I am not afraid of any attacks." Lucien used his attitude to give Levsky confidence.
Levsky became excited again. The most difficult thing to meet in life is someone who understands himself, his persistence, and his achievements: "Thank you, Commissioner Evans, you are the first person to accept my new geometry, and
You gave such a high evaluation directly. Even I have never described my paper in this way, thank you. Thank you..."
He is a magician who is addicted to the arcane world. He is not good at words and can only say thank you and a slight tremor.
At this time, Fernando, with his red magic robe trailing on the ground, walked to the conference room and motioned for the two of them to enter.
"Good morning, teacher, you're still here." After watching Levski sit down, Lucien said hello to Fernando at the door of the conference room.
Fernando had a serious expression when discussing serious matters: "I read his paper. Although it goes against intuitive experience and understanding, it is interesting and interesting."
As expected, he is still the Storm Lord who never praises others.
In the conference room, apart from Lucien, there were a total of six committee members. Compared with the fifteen or sixteen people who held similar discussions in other major fields, there were much fewer committee members in the field of mathematics and physics.
Although many committee members are good at multiple fields and can attend different discussion meetings. For example, Lucien can participate in elements and heat respectively, but mathematics is just a tool and does not directly bring about changes in the cognitive world and improvement in magical power.
, there are not many committee members who are willing to delve into this field and become authorities, even if they fail to come for various reasons. There are only nine people in the entire committee who are qualified to review papers in mathematics and physics.
"Commissioner Evans, I am Nesica." Nesica, who was wearing a gray pointed hat, greeted Lucien without a smile. However, she saw the three rings on Lucien's right hand and the ring on his right chest.
After marking the Immortal Throne, his long white eyebrows moved slightly. Subconsciously, he shook the black scepter in his hand. It was a deep scepter that seemed to contain countless mysteries.
Mirina and others also stood up to greet Lucien. Their attitude was not good, but not bad. After all, the special advisor who presided over and supervised the meeting today was Fernando, the master of the storm. He was known for his short temper, fault-finding, and ruthlessness.
The important thing is that he is Lucien's teacher! No one wants to be roared like a storm due to non-academic issues!
Lucien returned the greetings one by one and noticed that five of the six committee members belonged to the high tower. They all wore special-style pointed gray hats. Even the two ladies Myrina and Marpel were the same, with a faint look.
Weird and funny.
"This kind of hat is really not suitable for women." Lucien sighed and deliberately sat on the other side of the long table, facing the six committee members.
Fernando hated nonsense the most and said bluntly: "Regarding Levsky's paper "Strict Proof of the Principles of Geometry and the Parallel Line Theorem", Commissioners Nesika, Milina and Evans have opposite evaluation results, so
We held this small discussion meeting to make a final ruling on Levsky’s paper. Next, Levsky will explain his paper, and members can raise their hands to ask questions.”
Levsky silently picked up the paper and walked towards the magic platform in front of the conference room. After taking a few steps, he suddenly tripped over a chair and made a loud sound. He stumbled and almost fell.
"Heh." "Hmph." Nesika, Milina and others laughed and sneered one after another, causing Levsky's face to turn red quickly.
Trying to calm down his panic, Levsky used the magic circle to enlarge and project his paper, and began to explain his postulates, reasoning and deduction.
"Mr. Nesika, what's the problem?" After Levsky came to a deduced conclusion, he was interrupted by Nesika raising his hand.
Nesika held her deep and dark arcane scepter and said coldly and with anger: "Tell me why the sum of the three interior angles of a triangle is less than 180 degrees?"
"This is deduced based on the previous axioms and postulates." Levsky pointed to the derivation mentioned before.
Nesika snorted coldly: "Then find a triangular model like this."
"This..." Levsky was at a loss for words for a moment. This is a purely mathematical logical deduction and does not rely on physical objects.
Nesika spat out word after word, as if she wanted to express the anger in her heart: "Since it can't be found and it goes against reality, 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 felt as if he had been struck by the frost and became shaky, but he still managed to raise his head and meet the unfriendly eyes below, and was encouraged by Lucien's smiling and nodding eyes.
Fernando raised his hand: "Continue to explain."
So Levsky took a deep breath and continued to explain. After a while, Myrina raised her hand.
"Ms. Myrina, do you have any questions?" Levsky found himself trembling. So many years of experience allowed him to guess what Mirina wanted to ask.
In Mirina's hand was an arcane scepter inlaid with many star-like gems. She sneered and said: "Levsky, tell me why vertical and diagonal lines on the same straight line do not necessarily intersect."
"This is derived from the previous derivation..." Levsky said a little feebly, which made Lucien couldn't help but shake his head. At this time, he needed momentum and the confidence to overwhelm others.
Milina picked up the stack of papers in front of her, her smile faded, and she said with a touch of anger: "Please make such a line. Or find a realistic model of it!"
"I haven't found it yet..." Levsky answered honestly and shocked, "But from the premise and logic, there is no problem with it."
"This is your problem, you forgot that we live in the real world, not in imagination!" Myrina accused mercilessly, and then read her own paper, discussing Levski geometry and real experience,
Inconsistency in intuitive understanding.
Every paragraph of her discussion seemed to be like a dagger thrown at Levsky. He was stabbed with "blood dripping", his face turned white, and he was "shaky".
"I've finished my opinions." Myrina said indifferently, no longer looking at Levsky, as if he was a clown who deliberately made exaggerated and weird papers to attract others' attention.
"Continue to explain." Fernando indicated that there are still many things that have not been explained in Levsky's paper.
Levsky received an encouraging look from Lucien. His voice became weaker and he spoke about the following content.
Committee members raised their hands 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 and refuted it from a realistic perspective, because this issue has lasted for more than ten years.
Their tone of voice was involuntarily filled with vitriol and a touch of malice, making Levsky's face become increasingly pale.
However, in such a harsh environment, Levsky still persisted in explaining his thesis to the end without giving up or getting angry or scolding him.
Returning to his seat, Levsky closed his eyes and seemed to be able to foresee the final decision. His paper still lacked strong model proof. Thinking of this, he opened his eyes, looked at Lucien, and gave him an apologetic expression.
The eyes are hurting you, Commissioner Evans.
"When Levsky was explaining just now, members such as Nesika and Milina had already raised questions and given their own opinions and arguments. Next, member Evans, who had not yet spoken, would explain why he gave the high evaluation."
Fernando turned his eyes to Lucien and motioned for him to come to the stage to explain.
Lucien straightened his collar and walked up to the podium with a stack of documents, his steps steady and unhurried.
"Commissioner Evans, if I were you, I would not persist. I understand your love for disruptive achievements, but you still have to respect the basic reality." Nesika suddenly said, if Lucien's teacher
If he were not the Storm Lord, he would never be so polite.
Lucien looked at him with a smile: "I only respect the truth."
Regardless of his expression or tone, the committee members could tell that what he was really referring to was Levsky's thesis, so Myrina laughed softly, but without the slightest smile, as cold as the cold deep in the North.
Feng: "Commissioner Evans, I don't think you know that if a review committee member makes an obvious, intentional, and unreasonable error when reviewing a paper, he will be disqualified as a committee member."
"This is what I want to say to you." Lucien stood on the podium with a flat smile, but his words were anything but soft.
Boom, as if something is exploding in their hearts, every committee member in the field of mathematics is full of anger. Are they accusing and attacking us?
Fernando blinked, a little confused that his usually elegant and polite student would say such provocative words. He thought to himself, this is a bit abnormal, it seems that some people are in trouble...
"Commissioner Evans, you should first think about how to turn the imaginary geometry into reality." Another female committee member, Mapel, mocked. She has an ordinary appearance, is old-fashioned and serious, and wears a gray pointed hat, like a church member.
Old nun.
Salguero, a middle-aged man with messy black hair who didn't seem to like taking care of himself, pinched his face with his left thumb and forefinger, and said in a low voice: "I really want to know why, Commissioner Evans, you included Levsky's paper
What are your reasons for calling it the calculus revolution in geometry? Can you prove him right?"
"You have not made any achievements in the field of mathematics and physics. I seriously doubt your ability to review this paper." Nesika, who was the first to speak, directly questioned Lucien's mathematics and science level.
Enraged by Lucien's words, each committee member turned into an aggressive rooster.
Lucien raised his hand and suppressed it. His voice was loud and loud: "If you have any questions about my math and science level, please ask 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 review committee members, not filial sons!"
Shocked by the sudden roar, the conference room became quiet for a moment.
Lucien looked around the conference room, nodded slightly to Levsky, and then said loudly: "When I told my reasons, no questions were allowed and no interruptions were allowed. All questions were raised together after the story was told. However, I
During the narration, I will ask questions to everyone, and please answer them honestly, worthy of the committee badge on your chest and the starry sky above your head!"
The committee members were silent, unable to find a reason to refute Lucien for a while. As a review committee member, as a winner of three Holm Crown Awards and one Immortal Throne Award, he is qualified to make certain reasonable demands, and his momentum is like
The rain of debate is ready to attack, choosing people to eat, so that people will subconsciously not anger them on small issues.
"Since no one has any objection, let's consider it as agreement." Lucien looked at his teacher, Storm Lord.
Fernando said with a straight face: "Just do what Commissioner Evans said."
So Lucien turned around and manipulated the magic circle so that only the original axioms and postulates were displayed on the projection:
"Commissioner Nesika, let me ask you, are these axioms and public statements wrong?"
Nesika reflexively responded: "It's not like the real world."
"Commissioner Nesika, forget about the sunshine outside, forget about the world outside. Forget about the content behind this paper, answer honestly, are there any mistakes in these axioms and postulates?" Lucien shouted sharply.
Nesika was suppressed by Lucien's momentum and took a closer look. Aren't these the five axioms, four postulates of tower geometry, and the assumptions put forward by Levsky? She nodded and replied: "The previous axioms
and the postulates are not wrong, but the last one is absurd.”
"This is proof by contradiction. Don't you know proof by contradiction?" Lucien shouted again.
The white eyebrows twitched, and Nesika couldn't help herself from looking like a stupid idiot, a fool who had never studied mathematics: "That's no problem."
"Do you think there is a mistake? If so, stand up bravely!" Lucien was as imposing as he was in a magic school, facing each of the magic apprentices.
How could this be wrong? Other committee members shook their heads.
So Lucien projected a few lines of content again, and it turned out to be Levsky's thesis.
"Commissioner Milina, do you think there are premise and logical errors in this reasoning?" Lucien looked at Milina sternly.
Myrina stood up and sneered: "This is different from reality, you can't find it..."
"Forget them! I said forget them! Only consider presuppositions and logical deductions, and only consider pure mathematical problems!" Lucien interrupted Mirina with a roar, "Tell me, there is a logical reason for this reasoning
Wrong?"
Mirina was confused by the roar and didn't know how to refute it. She deduced it carefully in her mind, shook her head and said: "There are no logical errors or loopholes, and other equivalent propositions are not used as axioms."
"Very good." Lucien motioned her to sit down, and then projected a few lines again, "Commissioner Mapel, do you think there are premise and logical errors in this section of reasoning?"
In this way, Lucien asked questions one by one and roared again and again, making the committee members forget about other factors and only consider simple axioms and postulates and logical deduction issues.
Suffering the roar, listening to the questions, and answering whether there were any mistakes, Nesika and other committee members gradually turned a little blue, and there seemed to be a little cold sweat on their foreheads, while Levsky was in high spirits, as if Lucien's every voice
Roaring, every answer from the committee members instilled confidence and joy in him, while Fernando nodded thoughtfully.
As the last few lines of the paper were projected, Lucien turned his eyes to Nesica and said in a low voice: "Commissioner Nesica, are there any loopholes in the logical deduction in this paragraph, are there any errors in the presuppositions?"
Nesika clenched his hands tightly and could vaguely feel the moisture in his palms. He swallowed and did not dare to mention the reality again. He said with a slight trembling: "There are no loopholes and no mistakes."
"Very good, no loopholes, no mistakes." Lucien looked at the six committee members and seemed to be thinking to himself.
Suddenly, he roared at the top of his voice, as if a violent storm was coming:
"Since there are no errors everywhere, then tell me what exactly is wrong with this paper?!"
"Tell me. What's wrong with it?!"
Milina was startled and subconsciously replied: "It goes against our intuitive understanding and real experience..."
"Throw them out of your head!" Lucien interrupted with a roar, "Tell me, from a purely mathematical point of view, from a presupposition and logical deduction point of view, what exactly is wrong with it?"
"What's wrong?"
Nesika, Milina and others were silent. They didn’t know how to answer. They didn’t mention reality. They didn’t mention experience and knowledge. They lacked premise and logical errors.
Levsky clasped his hands tightly, raised his head slightly, and closed his eyes. His face was full of complex emotions, including joy, sorrow, pain, and hope.
"Lucien Evans's roar is really as powerful as the Lord of Storms. He is worthy of being his student."
"Another Storm Lord?"
I don't know why, instead of thinking about rebuttals, these thoughts suddenly popped up in the minds of Milina and others.
Fernando shook his head and said to himself funny: "I don't have an illegitimate child."
Lucien saw that his momentum prevented them from organizing a counterattack for the time being, so he took advantage of the victory and put another paper in his hand into the magic circle. Then he adjusted the magic circle and displayed it together with Levsky's paper.
""An Attempt at Non-Tower Geometric Interpretation"..." Milina saw the title of the paper and then read it.
The papers are displayed page by page, but instead of replacing the previous content, they surround the conference room. One by one, they are displayed side by side.
Nesika rubbed her brow and said doubtfully: "The knowledge of differential geometry used..."
Mapel, Salguero and other committee members also started reading. As they read, their faces turned pale, drops of cold sweat fell from their foreheads, and they almost couldn't hold the quill steady with their hands.
"This is..." Levsky jumped up, as if he saw the goddess of magic appearing in front of him. This is his new geometry model! This is a "hyperboloid" model that exceeds normal imagination and intuitive understanding!
This is the most powerful proof!
He cried silently and truly saw the sun rising, darkness receding, and hope coming!
Suddenly, another paper appeared. It was quite simple. It used the concept of projection to prove the compatibility of Levski geometry and tower geometry on the unit circle. If tower geometry is true, then Levski geometry is also true.
Established!
Simple derivation, wonderful proof, full of mathematical beauty, there is no proof that shocked Nesika and other committee members more than it!
I'm not wrong, I've been on the right path! Levsky shouted in his heart.
At this time, Lucien's voice sounded softly in their ears: "As we all know, we can only see light within a certain frequency range. Beyond this range, we cannot directly feel it and can only rely on other tools to detect light."
Judgment, and other tools also have limits."
Since some of the prerequisite mathematical results needed for the paper were not available, Lucien derived them by himself, which was a little more complicated than the original one, but it did not prevent Mirina and other committee members from understanding it. As they read, Lucien heard
His words filled his heart with doubts. Why is he saying this now?
"So, in specially arranged scenes, our eyes will be deceived and produce hallucinations due to their own limitations. This is the principle of some illusions."
Although they were confused, Nesika, Levsky and others all nodded. This was correct.
Lucien continued in a soft voice: "Similarly, our ears are the same. Sound waves beyond a certain range cannot be heard, and will be interfered with, causing auditory hallucinations."
"Our understanding and experience are limited by the structure of our bodies and souls, so there will be considerable limitations. I believe that everyone can transform into different types of creatures. The world we feel is the same as the world we feel now.
?"
"It's different." Levsky answered affirmatively. Although many transformation techniques rely on an understanding of physiological anatomy. For example, before we knew that bats rely on ultrasound to find their way instead of eyes, the transformed bats all had biases in this regard, but
The transformation technique obtained from the original magic pattern can still allow magicians to understand the world felt by different creatures.
Lucien smiled and said to the confused Myrina and others: "Is that our right, or are they right? Obviously, this is looking at the same thing from different angles. Everyone is right, and it is true.
Partly, therefore, our experience, our understanding is limited.”
"And our imagination is based on our experience. Limited experience constrains our imagination and makes it not omnipotent. The deeper we explore the world, we will find that there are many things that we cannot imagine at all.
It totally goes against our intuitive understanding.”
Fernando nodded seriously, probably understanding what Lucien meant.
Nesika, Milina, Levsky and others were still a little confused and looked straight at Lucien.
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 also deceive you."
Having said this, he paused for a moment, pointed his right hand at the paper projected on the wall, pointed at the logical deduction and conclusion, and whispered in a low voice:
"But math doesn't."
ps: I will go to eat first and come back to revise.
This chapter has more than 7,700 words, which is equivalent to adding another chapter soon.
If you like this chapter, please vote for me at the end of the month~