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

Samantha, the young female student of Nessica, still looks like you owe me 10,000 arcane points: "Teacher, are you going to attend tomorrow morning's mini-seminar?"

"Of course, for what not, I'm going to retort to Levsky and Lucian Evans, and I'm going to get the committee to stop accepting such worthless papers!" said Nesica, exasperated 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 torn pieces of paper lying quietly at her feet, and said in a low voice: "Lucien, Evans......"

In her view, tower geometry is the only geometric system, and there is no new geometry that is fundamentally different from it, and Levsky's paper is full of shallowness that can be seen at a glance, because it is contrary to the real world, and such a paper has been so highly praised by Lucian Evans, what is the calculus revolution in the field of geometry, what is groundbreaking, breakthrough, popular, extremely discussable, and will play an important role, it 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 to all the Arcanists who study mathematical knowledge in the Tower. In the field of mathematics, there are only a handful of achievements with this kind of evaluation! Even if you get the results of the Arcane Scepter, you don't get 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 writing, she wrote the title at the beginning of the paper: "On Parallel Lines".

As a rigorous mathematician and astrologer, she never fights unprepared!

And other authorities in the field of mathematics and physics who received the papers and evaluation results sent by Alchemy Life, after reading them roughly. They all have emotions and reactions similar to those of Nesica and Mirina. The original criticism of Levsky's paper also contributed to it, but they still have a negative attitude towards this reasoning and deduction that is contrary to 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 arranges his long black double-breasted gown in front of the dressing mirror. White shirt and light yellow vest. After a few tens of seconds. Look carefully to make sure you are dressed appropriately and meticulously. Only then did he smile and say 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 to 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 guessed presumably 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, then, 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 had spoken my thesis in front of all the Arcanists in the Tower who were good at mathematics, and that was the first time a new concept of geometry was proposed, but alas, they did not respond, they did not discuss, they did not believe, except for indifference, contempt, ridicule and criticism, or indifference, contempt, ridicule and criticism, I fear that it will affect you, Commissioner 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 own persistence, and understood his own achievements: "Thank you, Commissioner Evans, you were the first person to accept my new geometry, and you directly gave such a high evaluation. Even I haven't described my thesis like that, thank you, thank you, ......thank you, thank

He was a magician who was obsessed with the Arcane realm, and he was not good at words, and there was only Xie Lu Xie and a slight tremor when he tossed and turned.

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 look on his face when discussing serious things: "I read his papers. Although contrary to intuitive experience and understanding. But it's a little interesting, a little fun. ”

Sure enough, he never praised the storm lord of man.

In the conference room, there were six members in addition to Lucien. Compared to fifteen or sixteen people when similar seminars were held in other large fields. In the field of mathematics and physics, there are far fewer committee members.

Although many members are good at many areas. It is possible to attend different discussion sessions, such as Lucien, who can participate in the elements and heat separately, but mathematics is only a tool. It does not directly bring about the changes in the cognitive world and the improvement of magical power, and there are not many members who are willing to delve into this field and become an authority, and 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 Nesica. Nesica, who was wearing a gray cap, 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, and their 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, who was known for his irritability, ruthlessness, and most importantly, he was Lucian's teacher!

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.

"It's really not for women. 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 evaluation results for Levsky's paper on "Rigorous Proofs of the Principles of Geometry and the Theorem of Parallel Lines", so we convened this small symposium to make a final ruling on Levsky's paper, and then, Levsky will explain his paper, and 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, making Levsky's face 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.

"What's the problem, Mr. Nesica?" Levsky said of a deductive conclusion, interrupted by a raised hand from Nesica.

Nessika held her deep and dark arcane scepter, and said indifferently and angrily, "You tell me what triangle the sum of the three inner angles will be 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 speechless for a moment, this is a purely mathematical logical derivation, which does not depend on the real thing.

Nesica spat 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.

"What questions do you have, Lady Mirina?" Levsky found himself trembling. With so many years of experience, he could guess what Mirina 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 straight line do not necessarily intersect. ”

"This is a deduction from the previous deduction......" Levsky said a little weakly, seeing that Lucien couldn't help but shake his head, at this time he needed momentum and overwhelmed 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 ...... yet," Levsky replied honestly and batteredly. "Presupposedly and logically, there is no problem with it. ”

"It's your problem, you forgot that we live in the real world, not in the imagination!" Mirina accused mercilessly. Then read your paper. This paper discusses the inconsistency between Levsky's geometry and real experience and intuitive understanding.

Each of her statements seems like a dagger thrown at Levsky. He was "drenched in blood", his face turned white, and he was "crumbling".

"That's the end of my opinion. Mirina said indifferently. No longer look at Levsky, as if he were a clown, a clown who deliberately made exaggerated and outlandish papers to attract the attention of others.

"Go on. Fernando gestured that there was still much left unexplained in Levsky's paper.

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".

Back in his seat, Levsky closed his eyes, as if he could see the final verdict of the worst judgment, his thesis still lacked strong model proof, 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, Nesika, Mirina, and other committee members had already raised questions and gave their own opinions and arguments, and then Committee member Evans, who had not yet spoken, explained the reasons for his high evaluation. Fernando turned his gaze to Lucien and motioned for him to come up to the stage.

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 be holding out, and I understand your love for disruptive results, but that still respects the basic reality. Nesica suddenly spoke, 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 what he really meant was 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 that 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 is blowing up in my heart, a member of the committee in the field of digital science is full of anger, this is accusing us of attacking us?

Fernando blinked, a little puzzled that his usually elegant and polite student would say such provocative words, and he thought to himself, a little abnormal, it looks like some people are in trouble......

"Commissioner Evans, you better think about how to turn imaginary geometry into reality. Another female councillor, Marpel, mocked, looking ordinary, stern and wearing a gray hat, like an old nun of the church.

Salgueiro, a middle-aged man with messy black hair who 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'd love to know why you called Levsky's thesis a revolution in calculus in the field of geometry, and what reason do you have?" Can you 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. The voice was loud: "If you have any 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 reviewer, not a child!"

Shaken by the sudden roar, the conference room briefly fell silent.

Lucien looked around the room, nodded slightly to Levsky, and then said in a loud voice: "When I tell the reason, I am not allowed to ask questions, and I am not allowed to interrupt. All the questions were asked together. However, when I speak, I will ask you questions, and I ask you to answer them honestly. Worthy of the commissioner's badge on his chest and the starry sky above his head!"

The commissioners were silent. For a moment, there was no reason to refute Lucian. As a member of the Auditors, and as a three-time Holm Crown Award and a once-time Immortal Throne Award winner, he is entitled to make certain reasonable demands. And his momentum is like a storm ready to start, choosing people to devour, so that people subconsciously do not provoke him on small issues.

"Since there is no objection, then it is considered to be agreed. Lucien looked at the teacher, Storm Lord.

Fernando said with a straight face: "Next, I will do what Commissioner Evans said." ”

So Lucien turned around and manipulated the magic circle so that only the original axioms and axioms were displayed on the projection:

"Commissioner Nesica, let me ask you, are these axioms and axioms wrong?"

Nesika replied reflexively: "This is different from the real world. ”

"Commissioner Nessica, forget the sun outside, forget the world outside, forget the rest of this paper, and answer honestly, are these axioms and justices wrong?" exclaimed Lucien.

Nesica 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 put forward by Levsky, so he nodded and replied: "The first axioms and axioms are not wrong, but the last one is absurd." ”

"This is the method of counter-evidence, don't you know the method of counter-evidence?" said Lucien 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's a mistake, and if you do, stand up bravely!" Lucien was as imposing as he was in a magic school, 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 or logical error in this reasoning?" Lucien looked at Marina sternly.

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

"Forget about them! I said forget them! only the assumptions and logical deductions, only the pure mathematical problems!" Lucien snarled as he interrupted Milena, "Tell me, is there a logical error in this 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. Lucien motioned for her to sit down, and then projected a few lines again, "Commissioner Marpel, do you think there is a premise and logical 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's gaze turned to Nessica, and he said in a low voice: "Commissioner Nessica, is there any loophole in the logical deduction 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." ”

"Good, no loopholes, no bugs. Lucien looked at the six commissioners and seemed to be talking to himself.

Suddenly, he roared at the loudest voice. As if a storm had fallen:

"Since there are no mistakes in every place, you 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 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. No mention of empirical knowledge. Missing can't find the premise and logical errors.

Levsky clasped his hands tightly, raised his head slightly, closed his eyes, and his face was full of mixed emotions. There are joys and sorrows. There is pain and hope.

"Lucien's Evans' roar has the momentum of a storm master. Worthy of his students. ”

"Another Storm Master?"

I don't know why, instead of thinking about the words of rebuttal, these thoughts suddenly popped up in the heads of Mirina and the others.

Fernando shook his head. Funny to himself: "I don't have an illegitimate child." ”

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 Non-Tower Geometry" ...... 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 brows and said suspiciously: "...... the knowledge of differential geometry used?"

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 his new geometry model! This is a "hyperboloid" model that surpasses normal imagination and intuitive understanding! 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 tower geometry is true, then Levsky geometry is also true!

A concise derivation, a wonderful proof, full of mathematical beauty, there is 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 at the same time, and their hearts were full of doubts, what is he saying now?

"So, 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 understanding, 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, and transform into different kinds of creatures to feel the same world as we are feeling now?"

"Different. Levsky replied in the affirmative that while many metamorphoses rely on physiological and anatomical understanding, such as the transformation of bats before the Zhilu Dao bat relied on ultrasound to find its way instead of its eyes, the metamorphosis obtained from the primitive magic pattern still allows magicians to understand the world of different creatures.

Lucien smiled and said in the eyes of the confused Mirina, "Is that our rightness, or are they right?" Obviously, this is looking at the same thing from different angles, everyone is right, and they are all part of the truth of things, so 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 cannot 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. (To be continued......)

PS: I'll go to dinner first and come back to revise.

This chapter is more than 7,700 words, which is equivalent to adding a new chapter soon.

If you like this chapter, I ask you to buy a monthly pass~