Although the voice was light, when he heard Nesica, Mirina and others, he felt like a bolt from the blue, and was deafening.

Those who have studied mathematical knowledge and won the Arcane Scepter Award will inevitably feel proud of mathematics. But in reality, mathematics is just a tool for arcane exploration and spell analysis, and are their vassals. Not many arcane masters are willing to devote their entire lives to this field full of unparalleled beauty. For most arcane techniques, it is enough.

Arcanist who likes the field of mathematics and physics in the tower has more or less thoughts similar to those in Lucien's words, but this is just an occasional self-pride, an occasional flash of inspiration, and an occasional complaint. No one has ever been like Lucien Evans, who uses such an impactful statement to describe the side of mathematics that is higher than intuitive understanding and above real experience, and raises the importance of mathematics to a position they have never expected before.

Even if they knew very well that Lucien was adding to the correct weight of Levsky's thesis, it would not prevent them from being excited and excited for a long time.

Levsky was even more excited and trembled all over. Yes, mathematics will not deceive me, so he has "Strict Proof of the Principles of Geometry and the Parallel Line Theorem". In this seemingly unbounded sea, in this sea where storms and rains never stop, it is precisely because he grasped mathematics tightly, relied on it wholeheartedly, and was not "deception" by the outside world. Only then can he survive the ups and downs, cross the vast sea, not be blown over by wind and waves, and not sunk by despair!

Fernando still did not praise his students, but just nodded slightly. The deep meaning of these words is more worthy of exploration than the superficial content.

Lucien withdrew his right hand, put away the papers surrounding the entire conference room, and placed another thick stack of papers that had just been taken out of the storage bag in the magic circle, and smiled gently: "Next. Let's try starting from another road and see if we can use unusual scenery."

With mathematical models and proof that Levsky geometry and tower geometry are compatible, although Mirina and other members are still extremely resistant, after all, no one likes to deny themselves and admit that they have made mistakes and have been wrong for more than ten years, they have had to initially agree with this new geometric system. At this point. If you want to overthrow Levsky geometry, you must overthrow the tower geometry that is compatible with it accordingly, which is completely contrary to their original intention.

In addition, they were hit by Lucien's words, and their emotions were complicated but relatively stable at this time, and they looked at the paper without any prejudice.

"Another hypothesis on the parallel line theorem?" The hair was rolled up. Mirina, the elegant and luxurious, whispered the question and guessed something.

"Another hypothesis..." Levsky seemed to feel that the fog was dispelled in front of him, and saw the problems he had overlooked in his persistence for more than ten years.

Lucien was like taking a class at a magic school, pointing his finger to the projected paper, and letting the contents be displayed one by one: "Mr. Levsky assumed that 'going a point outside the line, at least two straight lines can be drawn parallel to the known line', and then together with the original axioms and assumptions. We deduced a new geometric system with rigorous logic and self-consistent logic. So what if we don't make another assumption? Another assumption that forms a complete set of Levsky geometry and tower geometry: 'going a point outside the line, no straight line is parallel to the known line'."

"Next, let's perform deductive reasoning and see what happens."

Levsky took a light breath and was excited again, as if he understood something. Nesica, Mirina and other committee members looked at the paper projected by Lucien solemnly.

Pages of thesis are turned over. A paragraph of thesis is given. Since Lucien is facing the authorities in the field of mathematics and physics, he explains it very quickly and briefly, but his faces are becoming more and more serious and more confused. At some point, Mapel blurted out and whispered to himself: "I have really interpreted a proposition that is different from Levsky's geometry but is also bizarre and weird..."

"What the hell is going on..." Her voice triggered Salghero's response.

"Is it another new geometric system that is essentially different from the geometry of the tower?" Mirina was at a loss. Just a few hours ago, she was firmly thinking that it was impossible to have a new geometric system that is essentially different from the geometry of the tower. However, in less than a day, this view seemed to be ruthlessly shattered, and it was shattered twice in a row.

She was confused and glad, fortunately this is the view of the field of mathematics and physics, and does not involve the composition of the cognitive world, otherwise she would have burst her head with a bang. She is worthy of being Lucien Evans, who secretly has the title of "skull-breaking demon" and "brain-eating man".

Levsky was not confused, but fell into deep thought. Why did this happen? Why did it happen from the different negation of the Fifth Assumption and the Fifth Assumption itself get different geometric systems that are complete, independent, logically rigorous and self-consistent? Why is this? Is this related to the real world?

Under the influence of His Excellency Speaker Douglas, arcanes who grew up in the Magical Council inevitably like to ask why, but there are very few like Lucien.

"It's interesting..." Fernando nodded slightly.

Time flies so fast that Lucien's paper turns to the last part and uses a sphere-like model to prove the realization of the previous content.

Nesica sighed deeply: "It is indeed another new geometric system, Evans geometry."

“Mathematics really won’t lie…”

It is because of arrogance and prejudice that I missed an opportunity to name the entire geometric system with my own surname. If I could accept Levsky's assumption, then Lucien Evans' assumption would be easily thought of.

Lucien did not end it, but showed the last few pages of the paper: "I defined the concept of curvature in the paper. From the calculation, we can see that when curvature is zero, it is the geometry of towers, when curvature is less than zero, it is Mr. Levsky's new geometry, and when curvature is greater than zero, it is the geometry I just talked about. They have something in essence and can be compatible."

Mirina let out a light breath, now it seemed a little easier to accept.

Levsky suddenly realized and was about to applaud with joy and excitement when he saw Lucien pressing his hand and signaling everyone to be quiet.

What else does he want to say?

The same question appeared in the hearts of different committee members. In the hearts of Levsky.

Lucien no longer roared aggressively like before, but said softly:

"We can see that under certain circumstances, the mathematical knowledge we studied exceeds our empirical knowledge and intuitive feelings, which puts us in many constraints, making the development of the mathematical field like an eagle with wings bound, and can only move forward with difficulty."

"So, we can try to separate mathematical knowledge from reality, without considering their physical models and practical significance for the time being. Starting from the most primitive, fundamental, and simplest concepts and axioms, we develop a rigorous and self-consistent mathematical system through reasoning and deduction. As for what role this system has and what it represents, we will only consider it when we encounter new problems in the specific arcane exploration."

"This is my personal opinion."

Lucien briefly mentioned the concept of the axiom system, but did not discuss it in depth. It was not too late to develop when the arcanes slowly accepted such a concept and had the awareness of thinking in this aspect. Everything needs to be gradually improved.

Papa, sparse applause sounded. From Levsky, he felt that he and Commissioner Evans had too many common language. Every word he said was something he could not express. At the same time, his understanding and support of his new geometric system proved that he had saved his life. His deafening speech made him feel excited when he remembered it now.

Amid the applause of a man, Nesica's face changed and everything before came to her mind. Finally, she hesitated and raised her hand and applauded gently.

With the first person's response, Mirina, Mapel, Salghero and others also followed and applauded, gradually turning from hesitation and resistance to sincere.

"Now, is there anyone who objected to Commissioner Evans' high evaluation of Levsky's paper?" Fernando asked after a pause of applause.

Nesicha pulled his long white eyebrows, stood up suddenly, and looked at Levsky and said, "Please accept my apology. This is a paper that won the Arcane Scepter Award. My pride and prejudice prevented me from accepting the new geometric system. I fully agree with the evaluation results of Commissioner Evans."

"I apologize to you, and apologize for the indifference, slander and attack for more than ten years. Levsky, you are a genius, outstanding, and great mathematician. My stubbornness and shallowness blinded my eyes and made me look ugly. The evaluation results of Commissioner Evans and the Arcane Scepter Award are the best praises for you." Mirina also stood up with Nesica and bowed deeply with the mysterious forehead-holding ceremony.

Expected that Nesica would not object anymore, but did not expect that they would apologize directly in public. A sour mood rushed to Levsky's head, making his nose sour and blurred his eyes. He watched one committee member get up to apologize, but could not speak.

Are you wronged? Of course you are wronged!

Is it painful? Of course it painful!

But at this moment, all of these seemed to be rewarded because of the belated ones!

Nesica looked at Levsky, whose eyes were red and his lips were trembling but unable to speak, sighed in understanding, and then looked at Lucien: "Commissioner Evans, I apologize for the previous doubts. You are an unquestionable mathematical genius. You are the authority in the field of mathematics and physics without dispute. Your new geometric system and proof of Mr. Levsky's geometric system will surely win you the Arcane Scepter Award!"

"Thank you for your approval." Lucien replied softly.

Mirina said in confusion: "Commissioner Evans, what's wrong with you?"

Lucien smiled bitterly: "I'm hoarse..."

The Storm Lord is not that easy to learn!

ps:

Change first and then change.

In order to complete the chapter yesterday, I wrote it until almost three o'clock noon and didn't have lunch. In addition, I never ate breakfast during holidays, so I was so sad that I didn't get better until eleven or two last night. This chapter was written by the morning when I woke up, so I was a little late.
Chapter completed!