Although the voice was soft, it was like a thunderbolt in the ears of Nesica, Mirina, and others, and it was deafening.

Having studied mathematics and won the Arcane Scepter Award, they will inevitably have a sense of pride in mathematics, but in reality, mathematics is only a tool for arcane exploration and spell analysis, and it is their vassal, and not many arcanists are willing to devote their lives to this field full of unparalleled beauty, which is enough for most arcane arts.

The Arcanists inside the Tower who liked the field of mathematics and physics had more or less similar thoughts similar to the meaning of Lucian's words, but this was only an occasional pride, an occasional flash of inspiration, and an occasional casual complaint, and no one had ever used such a shocking argument as Lucian Evans to tell the story of mathematics above intuitive understanding and real experience, and raised the importance of mathematics to a position they had never hoped for.

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

Levsky trembled with excitement, yes, mathematics does not deceive me, so there is "Rigorous Proofs of the Principles of Geometry and the Theorem of Parallel Lines", in this seemingly boundless sea, in this sea where the storm never stops, it is precisely by firmly grasping mathematics, relying on it wholeheartedly, and not being "deceived" by the outside world, that he can survive the ups and downs, cross the vast sea, not be blown over by the wind and waves, and not be sunk by despair!

Fernando still didn't praise his student, just nodded slightly. The deeper meaning of these words is more worthy of exploration than the superficial content.

Lucien withdrew his right hand, put away the papers that surrounded the entire conference room, and put 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 to start from another path and see if we can use the unusual scenery." ”

There was a mathematical model, and there was a proof of the compatibility of Levsky's geometry with the geometry of the tower, although Mirina and the other committee members still resisted it in their hearts, after all, no one likes to deny themselves and admit that they have made mistakes. And it was wrong for more than ten years. But we had to initially agree with this new geometric system, and at this point, if we wanted to overthrow the Levsky geometry, we had to overthrow the geometry of the towers that was compatible with it. This is completely contrary to their original intention.

Plus being struck in the heart by Lucian's words. They are emotionally complex but relatively stable at this time. I didn't look at the paper with any preconceptions.

"Another hypothesis about the parallel line theorem?" Milina, whose hair was coiled up, whispered the question to a faint guess.

Another hypothesis...... "Levsky seemed to feel that the fog was being dispelled in front of him." I saw the problems that I had ignored in my persistence for more than ten years.

Lucien is like in a magic school, pointing to the projected paper and letting the content be displayed line by line: "Mr. Levsky assumes that 'a little beyond the straight line, at least two straight lines can be drawn parallel to the known straight line', and then, together with the original axioms and axioms, derives a logically rigorous and self-consistent new geometric system, so why don't we make another hypothesis? Another hypothesis that forms a complete set with Levsky geometry and tower geometry: 'A little beyond the straight line, there is not a single straight line parallel to the known straight line'." ”

Next, let's do deductive reasoning and see what happens. ”

Levsky took a light breath, his emotions were agitated again, and he seemed to understand something, while Nesica, Milena, and the other committee members looked solemnly at the paper projected by Lucian.

Pages after pages of papers were turned, paragraph by paragraph of discussion was given, because he was facing the authorities in the field of mathematics and physics, Lucien explained very quickly, and many places were briefed, but the faces of Nesica and others became more and more serious, more and more confused, and at some point, Marpel blurted out and whispered to himself: "I really deduced a proposition that is different from Levsky's geometry but is equally bizarre......

"What the hell is going on...... her voice provoked a response from Salgueiro.

"Is it another new geometry that is fundamentally different from the geometry of the tower?" Mirina was at a loss, just a few hours ago, she had been firmly convinced that a new geometry that was fundamentally different from the geometry of the tower could not be possible, but in less than a day, this idea seemed to have been ruthlessly shattered, and twice in a row.

She was confused and glad, fortunately this is a point of view in the field of mathematics and physics, and it does not involve the composition of the cognitive world, otherwise she would have slammed her head off, and she is worthy of Lucien Evans, who secretly has the titles of "Skull Crusher Demon" and "Brain Eater".

Levsky did not wonder, but fell into deep contemplation, why did this happen? Why did the different negations of the Fifth Hypothesis and the Fifth Hypothesis itself lead to different geometric systems that are complete, independent, logically rigorous and self-consistent? What is this for? Is there any connection between this and the real world?

Under the influence of His Excellency Speaker Douglas, it is inevitable that arcanists who have grown up in the Magic Council like to ask what to do, but there are very few like Lucian.

"Kind of interesting......" Fernando bowed slightly.

Time flies, and Lucian's paper is turned to the last part, proving the achievability of the previous content with a spherical-like model.

Nesica sighed deeply, "Sure enough, it's a new geometric system, Evans geometry. ”

"Math doesn't lie......"

It was because of pride and prejudice that he missed an opportunity to name the whole geometric system after his own surname, and if Levsky's hypothesis could be accepted, then Lucian Evans's hypothesis would have been easily consuming.

Lucien did not finish, but presented the last few pages of the paper: "I have defined the concept of curvature in my paper, and it can be calculated that when the curvature is zero, it is the geometry of the tower, when the curvature is less than zero, it is Mr. Levsky's new geometry, and when the curvature is greater than zero, it is the geometry I just mentioned, and they have something in common in essence and are compatible. ”

Mirina exhaled softly. Now it seems to be a little more acceptable.

Levsky suddenly realized, and was just about to applaud with joy and excitement, when he saw Lucien press his hand and signal everyone to be quiet.

What else is he going to say?

The same question arose in the minds of different commissars, in the minds of Levsky.

Lucien no longer roared aggressively and aggressively as before, but said in a very soft and soft voice:

"We can see that under certain circumstances, the mathematical knowledge we study exceeds our empirical understanding and intuitive feeling, which makes us subject to many constraints, making the development of the field of mathematics and physics like an eagle with its wings tied. I can only move forward with difficulty. ”

"So. We can try to strip mathematical knowledge from reality, temporarily ignoring their physical models and practical meanings, and simply starting from the most primitive, fundamental and simple concepts and axioms, through reasoning and deduction. Develop a rigorous and self-consistent mathematical system. As for what this system does. What it represents is not considered until the specific arcane exploration, when the system is needed because of new problems. ”

"That's my personal opinion. ”

Lucien briefly mentions the concept of axiomatic systems. But it didn't go into depth, and it was not too late for the arcanists to slowly accept this idea and have the awareness to think in this direction, everything needs to be done gradually.

Popping, sparse applause rang out from Levsky, who felt that he and Commissioner Evans had too much in common, and that every word he said was something that he vaguely felt but could not express, and at the same time, his understanding, support, and proof of his new geometry system was no less than saving his own life, and his deafening speech made him even more excited to think about it now.

In the applause of one person, Nesica's face changed again and again, and all the previous things came to mind, and finally hesitantly raised his hand and applauded gently.

With the response of the first person, Mirina, Mapel, Salguero and others also applauded, and gradually changed from hesitation and resistance to sincerity.

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

Nexikala lowered her long white eyebrows, stood up abruptly, looked at Levsky and said, "Please accept my apologies, this is a paper worthy of the Arcane Scepter Award, my pride and prejudice have prevented me from accepting the new geometric system, and I fully agree with the results of Commissioner Evans's evaluation." ”

"I also apologize to you, for these ten years of indifference, slander, and attack, Levsky, you are a genius, a brilliant mathematician, my stubbornness and shallowness have blinded me and made me look ugly, and the results of Commissar Evans's evaluation and the Arcane Scepter Award are a compliment to you for the best. Mirina also followed Nesika to her feet and bowed deeply with the ritual of holding her forehead in the mystery.

Expecting that Nescika and Mirina would no longer object, but they did not expect that they would apologize directly in public, and a sour emotion rushed to Levsky's head, making his nose sour, making his eyes blurry, watching the committee members get up and apologize, but they couldn't speak.

Wronged? Of course wronged!

Is it painful? Of course it's painful!

But at this moment, it all seems to have paid off because of the belated affirmation!

Nesica looked at Levsky, whose eyes were red, his lips trembled but he couldn't speak, sighed in understanding, and then looked at Lucian: "Commissioner Evans, I apologize for my previous doubts, you are undoubtedly a genius in mathematics, you are an authority in the field of mathematics and physics without dispute, and your new geometry system and the proof of Mr. Levsky's geometric system will definitely earn you the Arcane Scepter Award!"

"Thank you for your approval. Lucien replied softly.

Mirina asked suspiciously, "Commissioner Evans, what's wrong with you?"

Lucien smiled bitterly: "My voice is hoarse......"

Storm Lords aren't that easy to learn!(To be continued......)

PS: Change first, then change.

Yesterday's chapter was written in one go, and it was almost three o'clock at noon, and I didn't eat lunch, plus I never ate breakfast during the holidays, so the whole person was not good, and it didn't ease until eleven or twelve o'clock last night, and this chapter was written in the morning, a little late.