The top floor of a towering tower.

"Prophet" Begner also had a copy of "Foundations of Mathematics" in front of him, and he had received news long before the special issue of Nature was released, and he had asked for a rubbed manuscript from Levsky.

"It has to be said that although Evans's book does not have groundbreaking insights and mathematical achievements, he has skillfully integrated many scattered research results in the current field of mathematics and physics by proposing some new concepts and redefining some concepts, forming a complete system with clear branches, rigorous structure and solid foundation......

“...... And his in-depth elaboration of this system completely dispelled the fog that shrouded the field of mathematics and physics, so that the entire palace of mathematics and physics was finally bathed in brilliant sunlight, showing a brilliant golden ......"

Even when he first read the book, Begner had already expressed similar feelings, but every time he read it, he couldn't help but marvel at the fact that this was the first time since the era when calculus was created and the corresponding concepts were defined that such a great contribution had been made to the field of mathematics and physics through a book.

“...... The era of calculus has passed, and this is the ...... of modern mathematics."

Begner seems to have seen new subfields take shape in the palace of mathematics and physics, and their origins and concepts come from this book "Fundamentals of Mathematics and Physics"!

For him, the most important aspects are two aspects, one is the axiomatic system of tower geometry completed by Lucian, which makes him full of infinite enthusiasm for mathematics in similar aspects, as if everything in the world can be axiomatized and can form a strict self-consistency. A flawless system.

The second is Lucian's in-depth research on topology, groups, and set theory, which has given him some inspiration, which seems to be not only simple, independent, and abstract mathematical achievements, but also studies that can be directly applied to solve many problems in current arcane research, such as crystallography, such as the cutting-edge fields of the microscopic world.

“...... This is definitely the most groundbreaking book in the field of mathematics and physics in the past hundred years, and it will definitely be put into the temple of mathematics and physics by future arcanists, and worshiped together with "The Mathematical Principles of the Philosophy of Magic", but unfortunately, it would be nice if there were not ten questions in the appendix at the end of the year......" "Prophet" Begner had a faint bitter smile on his face. In front of us, the place where "Fundamentals of Mathematics and Physics" is spread out is "Difficult Problems in Current Mathematical Research".

For a legendary magician like him, who is good at mathematics and physics. I have no resistance to this part of the difficult problem, and after roughly turning over the previous part, I fell into contemplation and calculation.

From the time he got "Fundamentals of Mathematics" to today, he has been thinking about it for a whole week. But there has been no progress. Even if it's a topic. He also failed to solve it, which made him quite frustrated with his pride in the field of mathematics and science, especially when some of the problems seemed simple. It seems that it can be proved easily, but in practice, it is full of unimaginable difficulties.

Of course, none of this is a big deal, and the barber's paradox at its worst is the outrageous horror that directly causes Begner to be in a rare daze for an hour.

"There was nothing more painful and embarrassing for the tower arcanists than this question before determinism was completely repudiated, and while the final completion of the palace of mathematics was celebrated with joy, its foundations suddenly collapsed, as if the application of set theory, the recognition of the concepts of the past, would negate mathematics itself. ”

Bergner let out a long sigh, as soon as he saw the barber's paradox, he almost couldn't help but use magic to destroy the "Fundamentals of Mathematics", killing every barber, it seemed that endless disasters would come from this!

He looked down and saw Lucian's words written after this paradox: "Similar paradoxes are very frustrating to us, but this can only show that our research is still not rigorous, and it shows that our past cognition of mathematics and physics has a certain degree of deviation, so we should not despair and be confused, but should study in depth and conduct a deeper study of set theory, and there is only one solution to the problem of mathematics and physics, and that is to continue to study mathematics itself." ”

“...... Evans' arcane attitude is what sustains him in so much success. Bergner exclaimed, turning back to the set theory part, rethinking and studying, there is no doubt that the paradox of sets can only be solved from set theory.

............

“...... I'm your old friend 'Nightingale', and it's time for 'Arcane News' next......"

The general education school was still on vacation, and Langman could only learn about the latest developments in arcane arts through programs such as "Voices of Mysteries" and "The Real Channel of the World Realm".

“...... His Excellency Evans has completed the magnum opus "Fundamentals of Mathematics", which solves the current problems in the field of mathematics and science, and clears the obstacles to progress, and the most striking thing about it is not the content of the front, but the ten puzzles that are presented later, which have filled the arcanists with interest in research......"

“...... It has to be said that the problem of stumbling Lord Evans is indeed extraordinary, so far, no arcanist has claimed to have found a way of thinking, and even His Excellency Speaker and Lord Brooke have admitted in public that it is not so easy to solve these seemingly simple problems......"

“...... It seems that whoever solves these ten problems will receive a good number of arcane points and become a recognized authority on mathematics, and these questions are......"

The little boy Langman's eyes widened when he heard the question that would stump Lord Evans, and in disbelief he felt the urge to try if he could solve a problem that even Lord Evans could solve......

The problems selected by Lucien are representative, but they are all of the kind that seem simple on the surface, so Langman can understand them with his weak foundation, and try to take out a pen and paper to check it.

“...... Lord Evans tells us that while these problems have nothing to do with the actual study of the arcane, and that solving them will not lead to substantial gains, the study of them in itself will certainly contribute to the development of the field of mathematics and physics, which in turn will underpin the study of the arcane...... The same applies to other fields of mathematics and physics, and in this pure worldly realm, we should not blindly pursue applied ......"

Lang Man soon couldn't count it anymore, but he could hear this. But a raging fire burned in his heart, burning his cheeks red: "The field of mathematics and physics is so important, and it doesn't seem to need the support of magic...... Although I have poor mental talent, it doesn't mean that I don't have a talent for mathematics and science......"

"I must be an Arcanist!

............

Due to the common characteristics of human nature, after seeing "Mathematical Fundamentals", most of the arcanists are curious and eager to try to solve the problem proposed by Lucian, but if Lord Evans can't solve it, it doesn't mean that we can't find the idea! If we can really solve one of them, then we will reap unimaginable glory and benefits!

Thus, during this time, Ellerstin and Nordiel, who were walking in Alinge, often saw the Arcanist with a blank expression and a vain walk. They seem to be immersed in their own worldly realm.

But over time. There are fewer and fewer such arcanists, more of a battered face, and the Foundations of Mathematics in their hands are often marked with different symbols, some representing demons. There are those that represent nightmares. There is a labyrinth that represents no way out. In short, even if these ten questions are hung on the long-term display of the mission area, the wave of information about them will inevitably end.

Thereinto. The tower arcanists have the most mixed feelings, on the one hand, they really love to solve similar problems, and on the other hand, they are deeply struck by paradoxes, and once again feel the wandering, confusion and despair of the original determinism shaken, and the uncertainty has not been confirmed by experiments of sufficient importance, but the paradox presents the contradiction in a simple and clear way, so that they have to face it squarely.

"If Haven were still alive and saw this paradox, he would probably choose the same path......" Samantha looked out the window with a somewhat melancholy gaze.

The corners of Rachel's mouth twitched: "You also burned the "Fundamentals of Mathematics" to him...... Is this to make him have nightmares after death...... For arcanists who are not good at mathematics, the knowledge of number theory, sets, and groups in the first part is more terrifying than that of demons, and they want to tear the book off, and for us arcanists, the latter questions and paradoxes are terrifying ...... beyond the will of the abyss."

"Either way, mathematics and physics will continue, and we will definitely find a way to solve ......it," Samantha encouraged herself.

As a result, the rest of the mages found that both the Tower Arcanist and the Arcanist, who were good at mathematics, had become quite silent, and an explosion was brewing in the silence.

............

Inside the Atomic Research Institute.

Lucian, Natasha, Lazar, Annick and others gather in Heidi's exclusive lab to watch her and Cherry's first artificial intelligence assemble.

In the center of the room, countless huge glass tubes were connected in ingenious forms, among them were simple magical patterns and relatively complex alchemical devices, and a curtain of special material like a water curtain was erected at the top.

"Big ......" Ellerstin was invited to visit, and although she could guess the shape of the last one through her usual observations, the size of the artificial intelligence still exceeded her imagination.

This artificial intelligence temporarily occupies most of the room, which is equivalent to seven or eight golems.

Lucien nodded slightly, with the cooperation of magic, this is much smaller than the first computer on earth: "Good job, start and demonstrate." ”

Heidi nervously pressed the power switch, only to see the glass tubes light up one after another, flashing red and green respectively, and constantly changing, making the whole room look like a ball party - due to the development of a series of different colors of magic crystal lamps, there are already dance parties experimenting with the change of lighting.

With the magic aid of the "Data ......", Heidi did not make items such as perforated paper tapes, but instead directly entered the sound and key inputs.

After choosing a rather complicated calculation, the red and green lights flickered more and more violently, and the sound of electricity in Zziz was very obvious, and then the result appeared on the "curtain".

"The data is correct. Sprint interjected, "But I figured out the answer a few seconds ago by assisting the calculation circle. ”

So, what's the use of that?

Heidi snorted quietly and looked at the teacher, hoping to be praised, this is just the first artificial intelligence, and there is still a lot of room for improvement......!

PS: I slept late last night, I'm sorry, the first one was sent, and I asked for a monthly pass on the first day of the New Year~