"Prophet" Bergner also had a copy of "Fundamentals of Mathematics" spread out in front of him. He had already received the news before the special issue of "Nature" was released, and asked for a rubbing of the manuscript from Levsky.
.
"I have to say that although Evans's book does not have groundbreaking insights or mathematical results, he cleverly integrates many scattered research results in the current field of mathematics and physics by proposing some new concepts and redefining some concepts.
Integrated into one, forming a complete system with clear branches, rigorous structure and solid foundation..."
"…···And his in-depth elucidation of this system has completely dispelled the fog surrounding the field of mathematics and physics, allowing the entire palace of mathematics and physics to finally be bathed in the bright sunshine, showing a brilliant golden color..."
Even when he read this book for the first time, Begener had already expressed similar emotions, but every time he read it, he couldn't help but admire the same. Since the era when calculus was created and the corresponding concepts were defined, this is
It is the first time that someone has made such a great contribution to the field of mathematics and physics through a book.
"...The era of calculus has passed, this is modern mathematics..."
Begener seems to have seen new branch fields taking shape in the Palace of Mathematics, and their sources and concepts come from this "Fundamentals of Mathematics"!
For him, the most important aspects are two aspects. One is the axiomatic system of tower geometry completed by Lucien, which makes him full of endless enthusiasm for similar aspects of mathematics, as if everything in the world can be
Axiomatic, can form a strict, self-consistent, flawless system.
The second is Lucien's in-depth research on topology, groups, and set theory, which gave him some inspirations. They seem to be not only simple, independent, abstract mathematical results, but also can be directly applied to solve current mysteries.
Research on many issues in technical research, such as crystallography, such as the most 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. It will definitely be placed in the palace of mathematics and physics by future arcanists. It will be worshiped together with "Mathematical Principles of Magical Philosophy". Unfortunately,
It would be nice if there were not ten questions in the last appendix..." "Prophet" Begener had a faint bitter smile on his face. The place where "Fundamentals of Mathematics" was spread out in front of him was "Current Research in Mathematics"
Difficult Issues in ".
For a legendary magician like him who was good at mathematics, he had no resistance to this difficult problem. After roughly reading the previous part, he fell into meditation and calculation.
But from the time he got "Fundamentals of Mathematics and Physics" to today, he has been thinking about it for a whole week, but there has been no progress. He has not been able to solve even one question. This makes him, who is proud of the field of mathematics and physics, quite frustrated.
Especially some problems seem simple and can be proved easily. However, in the actual process, they are full of unimaginable difficulties.
Of course, these are nothing. The final barber's paradox is the most outrageous and terrifying problem, which directly caused Bergner to be in a rare daze for an hour.
"Before determinism was completely denied, nothing could cause more pain and embarrassment to the tower arcanists than this issue. While they were cheering and celebrating the final completion of the Palace of Mathematics, its foundation suddenly collapsed, as if
As long as we apply set theory and admit the concepts of the past, we will deny mathematics itself."
Begener let out a long sigh. As soon as he saw the barber's paradox, he almost couldn't help but use magic to destroy "Fundamentals of Mathematics" and kill every barber. It seemed that endless disasters would result from this.
Come!
He moved his eyes downward and saw Lucien's words written after this paradox: "Similar paradoxes are very frustrating to us, but they only show that there are still many loose ends in our research, and that our past understanding of mathematics
There is a certain degree of deviation in our cognition. Therefore, we should not despair and be confused, but should study in depth and conduct a deeper study of set theory. There is only one solution to mathematical problems, and that is to continue to study mathematics itself.
"
"...Evans' arcane attitude is the foundation that supports so many of his achievements." Begener praised. Turning back to the set theory part, rethinking and researching, there is no paradox in the set.
The question can only be solved from the perspective of set theory.
"…···I am your old friend 'Nightingale,' next is 'Arcane News, time..."
The general school is still on vacation, so Lang Man can only rely on programs such as "Voice of Mystery" and "World Reality Channel" to learn about the latest developments in arcana.
"... Mr. Evans has completed the masterpiece "Fundamentals of Mathematics and Physics", which has solved every problem in the current field of mathematics and physics and cleared away obstacles to progress. The most eye-catching thing about it is not the previous content.
Rather, it is the ten difficult questions raised later that fill the arcanists with research interest..."
"... I have to say that the problem that can stump Mr. Evans is indeed extraordinary. So far, no arcanist has claimed that he has found the idea. Even the Speaker and Mr. Brooke have admitted in public,
It is not that easy to solve these seemingly simple problems..."
"... It seems that whoever solves these ten problems will receive generous arcane points and become a recognized authority in mathematics. These problems are..."
The little boy Buman opened his eyes wide when he heard the problem that could stump Mr. Evans. In disbelief, he felt the urge to try. If he could solve the problem that Mr. Evans could not solve...
The puzzles Lucien selected were each representative, but they all seemed simple on the surface, so Lang Man could understand them even with his weak foundation, and tentatively took out a pen and paper to do the calculations.
"... Mr. Evans told us that although these problems have nothing to do with actual arcane research, and solving them will not bring substantial gains, the study of them will certainly promote the field of mathematics and physics.
Development, and the development of the field of mathematics and physics will support the research of arcana... This principle also applies to other fields of mathematics and physics. In this pure world, one should not blindly pursue applicability..."
Lang Man soon gave up, but after hearing these words, a raging fire ignited in his heart, making his cheeks turn red: "The field of mathematics and physics is so important? And it doesn't seem to need the support of magic... Although my mental strength
I have poor talent, but that doesn’t mean I don’t have talent in math and science..."
"I must become an arcanist! An arcanist who is good at mathematics!"
Due to the common characteristics of human nature, after seeing "Fundamentals of Mathematics", most arcanists were curious and eager to try to solve the difficult problem raised by Lucien. Mr. Evans can't solve it, but it doesn't mean that we can't find ideas!
If you can really solve one of them, you will reap unimaginable glory and benefits!
Therefore, during this period of time, Elestine and Nodaniel walking in Arlinge often saw arcanists with blank expressions and arrogant walks. They seemed to be immersed in their own world.
But as time goes by, there are fewer and fewer such arcane masters, and more of them have battered faces. The "Fundamentals of Mathematics" in their hands are often marked with different symbols, some representing demons, and some representing nightmares.
Yes, some represent mazes with no way out. In short, even if these ten questions are hung up on the permanent display in the task area, the wave about them will inevitably end.
Among them, the tower arcanist has the most complicated mood. On the one hand, he really likes to solve similar problems, but on the other hand, he is deeply hit by the paradox. He once again feels the hesitation, confusion and despair of the original determinism being shaken, and he is also uncertain.
Sexuality has not yet been experimentally proven important enough, but the paradox thoroughly presents the contradiction in a simple and clear way, forcing them to face it squarely.
"If Haven were still alive, after seeing this paradox, he would probably choose the same path..." Samantha looked out the window with a melancholy look.
The corner of Rachel's mouth twitched: "You also burned "Fundamentals of Mathematics" to him... Is this to make him have nightmares after death... You must know that this book is recognized as "The Devil"
"Book", for arcanists who are not good at mathematics, the first part of the knowledge about number theory, sets, groups, etc. is more terrifying than the devil, making them want to tear up the book. But for arcanists like us, the latter part
Problems and paradoxes are beyond the horrors of the will of the abyss..."
"No matter what, mathematics will continue, and we will definitely find a solution..." Samantha encouraged herself.
As a result, the other magicians found that the tower arcanists and the arcanists who were good at mathematics had become quite silent, and an explosion was brewing in the silence.
Inside the Atomic Research Institute.
Lucien, Natasha, Lazar, Annick and others gathered in Heidi's exclusive laboratory to watch the first artificial intelligence assembled by her and Cherry.
In the center of the room, countless huge glass tubes are connected together in clever shapes. Among them are simple magic patterns and relatively complex alchemical devices, and a special material like a swaying curtain of water stands at the top.
.
"It's so big..." Elestine was invited to visit. Although she guessed the final shape through her usual observations, the size of the artificial intelligence still exceeded her imagination.
This artificial intelligence temporarily occupied half of the room, equivalent to seven or eight golems.
Lucien nodded slightly. With the cooperation of magic, this was much smaller than the first computer on earth: "Well done, let's start it up and demonstrate it."
Heidi pressed the power switch nervously, and saw the glass tubes light up one after another, flashing red and green lights respectively, and constantly changing, making the whole room look like a dance party - thanks to the development of magic crystal lamps
Different color series, some dance parties are already experimenting with lighting changes.
"Enter data..." With the help of magic, Heidi did not come up with items such as punched paper tape, but directly inputted by voice and keystrokes.
After selecting a rather complicated operation, the red and green light flashed more and more violently, the sound of electric current was very obvious, and then the result appeared on the "curtain".
"The data is correct." Splinter interjected, "But I got the answer a few seconds ago through auxiliary calculation of the magic circle."
So, what's the use of this?
Heidi snorted quietly and looked at the teacher, hoping to be praised. This is only the first artificial intelligence, and there is still a lot of room for improvement!