Throne of Magical Arcana

Although the voice was soft, I heard that Nessica, Mirina and others were in the ears like a thunderbolt in the sunny day, stunned and deaf.

Those who have studied mathematical knowledge and won the Arcane Scepter Award always have a sense of pride in mathematics, but in reality, mathematics is just a tool for arcane exploration and spell analysis, and it is their vassal, not much. Arcanists are willing to devote their life's energy to this field full of unparalleled beauty, which is enough for them.

The inside of the tower likes the mind of the arcanist in the field of mathematics and science, and has more or less thoughts similar to the meaning of Lucien's words, but this is only occasional pride, occasional flashes of light, and occasional casual complaining. No one like Lucien Evans has used such an impactful argument under such a shocking argument to tell the side of mathematics above intuitive understanding and above practical experience, raising the importance of mathematics to A position they never expected.

Even if they are well aware that Lucien is accentuating the correct weight of Levski's thesis, it will not prevent them from being excited and long-lost.

Levski was trembling with excitement, yes, mathematics would not deceive me, so there was "strict proof of the principle of geometry and the theorem of parallel lines"!In the sea that seems to have no borders, in the sea where the storms never stop, it is precisely grasping mathematics, relying on it wholeheartedly, and not being "deceived" by the outside world, you can survive the storms. , Across the vast sea, not overturned by wind and waves, not sunk by despair!

Fernando still did not praise his students, but just nodded gently. The deeper meaning of these words is more worth exploring than the superficial content.

Lucien retracted his right hand, put away the papers surrounding the entire conference room, and put another stack of thick papers just removed from the storage bag in the magic circle. He smiled gently: "Next, let us try Start from another road and see if you can have unusual scenery. "

There is a mathematical model, there is a proof that Lefsky geometry is compatible with the tower geometry. Although Minina and other members are still extremely resistant, they do not want to deny themselves, admit that they have made mistakes, and they have been wrong for more than ten years. Have to initially agree with this new geometric system.At this point, if you want to overthrow Lefsky geometry, you must overthrow the tall tower geometry compatible with it, which is completely contrary to their original intention.

Coupled with being hit by Lucien's words, they were emotionally complex but relatively stable at this time, without looking at the paper with prejudice.

"Another hypothesis on the parallel line theorem?" Hair curled up, and the graceful Mirina whispered the title, guessing something vaguely.

"Another hypothesis ..." Lefsky seemed to feel that the mist had been dispelled in front of him, and saw the problems he had ignored in his ten-year insistence.

Lucien is like taking a class in a magic school and pointing his finger at the project of the paper to show the content line by line: "Mr. Levski first assumed that" a little beyond the straight line, at least two straight lines can be drawn parallel to the known straight line " Then, together with the original axioms and axioms, a logically rigorous and self-consistent new geometric system is derived, so why do n’t we make another assumption? In addition to the complete set of Levsky geometry and tower geometry One hypothesis, 'A point beyond the straight line, no straight line is parallel to the known straight line'. "

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

Lefsky took a light breath, and his emotions were excited again, as if he understood something, and the members such as Nessica and Mirina looked solemnly at the paper projected to Lucien.

A page after page of the paper has been turned over, and paragraphs of discussion have given that since facing the authority in the field of mathematics and science, Lucian explained very quickly, and many places have been taken briefly, but the faces of Nessica and others are getting more and more The more serious, the more and more puzzled, suddenly, Maple blurted out, whispering to himself: "Actually, a proposition that is different from Levsky geometry but equally bizarre ..."

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

"Is it another new geometric system that is fundamentally different from the geometry of the tower?" Mirina was at a loss, just a few hours ago, she was still firmly convinced that it was impossible to appear that was fundamentally different from the geometry of the tower. The new geometric system, in less than a day, seemed to be crushed relentlessly, and it was crushed twice in a row.

She was confused and fortunate. Fortunately, this is the point of view in the field of mathematics and science. It does not involve the composition of the cognitive world. Otherwise, she has banged her head slammed. It is worthy of the road of secretly "crushing devil" and "brain eater" Sean Evans.

Lefsky was not puzzled, but was deeply pondered. Why did this happen?Why from the different denials of the Fifth postulate and the development of the Fifth postulate itself, we will get different geometric systems that are complete, independent, logically rigorous and consistent?Why is this happening?Is this related to the real world?

Under the influence of Speaker Douglas, the Arcanists who grew up in the Magic Council inevitably like to ask why, but there are few like Lucien.

"Something interesting ..." Fernando nodded slightly.

Time passed quickly, Lucien's paper turned to the last part, and the sphere-like model proved the achievability of the previous content.

Nessica sighed deeply: "It really is a new geometric system, Evans geometry."

"Mathematics does not deceive people ..."

It was because of arrogance and prejudice that I missed an opportunity to name the entire geometric system with my surname. If I can accept Levski ’s assumption, Lucien Evans ’s assumption is actually very easy to think of.

Lucien did not end, but showed the last few pages of the paper: "I defined the concept of curvature in the paper. From the calculations, it can be concluded that when the curvature is zero, it is a high tower geometry, when the curvature is less than At zero, it is Mr. Levski ’s new geometry. When the curvature is greater than zero, it is the geometry I just talked about. They have in common in nature and are compatible. "

Milina exhaled softly, and now these two new geometric systems seem to be easier to accept.

Levsky suddenly realized, just about to applaud excitedly, he saw Lucien squeezing his hand and beckoning everyone to be quiet.

What else is he talking about?

The same doubts appeared in the minds of different committee members and in the minds of Levski.

Lucien no longer snarled as aggressively and aggressively as before, but said softly and softly:

"We can see that under certain circumstances, the mathematical knowledge we study exceeds our empirical knowledge and intuitive feelings, which makes us subject to many constraints. The development of the mathematical field is like an eagle with its wings tied. Moving forward. "

"So, we can try to separate mathematical knowledge from reality, temporarily ignore their physical models and practical meanings, and simply develop from the most primitive, fundamental, and simplest concepts and axioms, through deductive deduction, to develop rigorous self Consistent mathematical system. As for what role this system has and what it represents, it will not be considered until the specific arcane exploration needs this system because of new problems encountered. "

"This is my personal opinion."

Lucien briefly mentioned the concept of the axiomatic system, but did not discuss it in depth. It was still waiting for the arcanists to slowly accept such a concept. With the consciousness to think in this area, it is not too late to develop, and everything Need to go step by step.

Slap, sparse applause sounded, from Lefsky, he felt that he had too much common language with Commissioner Evans, every word he said was vaguely felt but could not be expressed At the same time, his understanding, support, and proof of his new geometric system are as good as saving his life, and his deafening speech makes him feel excited and impatient now.

In the applause of a person, Nessica's face changed continuously, and the previous things came to mind, and finally, he hesitantly raised his hand and gently applauded.

With the response of the first person, Milina, Maple, Salguero and others also followed the applause, gradually becoming hesitant from hesitation and resistance.

"Now, does anyone object to Evans' high opinion of Levski's paper?" Fernando asked after the applause stopped.

Nesikala lowered her white long eyebrows, stood up sharply, and looked at Levski: "Please accept my apology, this is a paper enough to win the" Arcane Scepter "award, my arrogance And prejudice made me unable to accept this new geometric system before. I fully agree with the assessment result of Commissioner Evans. "

"I also apologize to you for the ten years of indifference, defamation and attack, Levski, you are a genius, excellent, great mathematician, my stubbornness and shallowness blinded my eyes , Makes me look ugly. The evaluation result of Commissioner Evans and the Arcane Scepter Award are the best compliments for you. "Myrina also followed Nessica and bowed deeply with the support ceremony of the mystery.

Levski expected that Nessica, Mirina, and others would not object anymore, but did not expect that they would apologize directly under the general public. Suddenly, a sour emotion rushed to his head, letting him His nose became sour, making his eyes blurry, watching a member of the committee stand up and apologize, but he was speechless.

Wronged?Of course wronged!

Is it painful?Of course pain!

But at this moment, these seem to have been rewarded for being late!

Nessica looked at the red eyes, her lips trembling but speechless, sighed understandingly, and then looked at Lucien: "Commissioner Evans, I apologize for the previous question, you are Undoubtedly the genius of mathematics, you are the undisputed authority in the field of mathematics and science. Your new geometry system and the proof of Mr. Levsky's geometry system will surely win you the Arcane Scepter! "

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

Minina noticed that Lucien was a little abnormal and asked suspiciously: "Commissioner Evans, what's wrong with you?"

Lucien smiled bitterly: "I have a dumb throat ..."

Storm Master is not so easy to learn!