The top floor of a tower towering into the sky.
"Prophet" Bergner also had a copy of "Fundamentals of Mathematics" in front of him, and long before the release of a special issue of "Nature", he had already received news and asked for a rubbed manuscript from Levsky.
"I have to say that although Evans' book does not have groundbreaking insights and mathematical achievements, he skillfully integrates many scattered research results in the current field of mathematics and science by proposing some new concepts and redefining some concepts, forming a complete system with clear branches, rigorous structure, and solid foundation......"
「…… His deep exposition of this system completely dispelled the fog surrounding the field of mathematics, allowing the entire mathematical palace to finally be bathed in the brilliant sunshine, showing a brilliant golden ......."
Even when he read the book for the first time, Bergner had already expressed similar emotion, but every time he read it, he couldn't help but admire the same admiration, this is the first time since the era when calculus was created and the corresponding concepts were defined that someone has made such a great contribution to the field of mathematics through a book.
「…… The era of calculus has passed, and this is the ...... of modern mathematics."
Bergner seems to have seen new branches take shape in the Mathematical Palace, and their sources and concepts come from this "Fundamentals of Mathematics"!
For him, the most important aspects are two aspects, one is the geometric axiomatic system of the tower completed by Lucian, which makes him full of infinite enthusiasm for similar aspects of mathematics, as if everything in the world can be axiomatized and form a strictly self-consistent and flawless system.
The second is Lucian's in-depth research on topology, groups, and set theory, which gave him some inspiration, which seems to be not only simple, independent, and abstract mathematical achievements, but also research that can be directly applied to solve many problems in current arcane research, such as crystallography, such as the cutting-edge field of the microscopic world.
「…… This is definitely the most breakthrough book in the field of mathematics in the past hundred years, and it will definitely be put into the palace of mathematics by future arcanists, worshipped together with "Mathematical Principles of Magic Philosophy", but unfortunately, it would be nice if there were no ten questions in the final appendix...... "Prophet" Begner had a faint bitter smile on his face, and the place in front of him "Fundamentals of Mathematics" was "Difficult Problems in Current Mathematical Research".
For a legendary magician like him who is good at mathematics and science, he has no resistance to this part of the difficult problem, and after roughly flipping through the previous part, he falls into contemplation and calculation.
But since he got "Fundamentals of Mathematics and Science" to today, he has been thinking about it for a whole week, but there has been no progress, even if it is a problem, he has not been able to solve it, which makes him quite frustrated as he is proud of the field of mathematics and science.
Of course, these are nothing, the final barber paradox is the heinous horror problem, which directly caused Begner to be in a daze for an hour.
"Before determinism was completely denied, there was nothing more painful and embarrassing for the Tower Arcanists, and when they cheered to celebrate the final completion of the Palace of Mathematics, its foundations suddenly collapsed, as if the application of set theory and the acknowledgment of past concepts would negate mathematics itself."
Begner let out a long sigh, as soon as he saw the barber paradox, he almost couldn't help but use magic to destroy the "Basics of Mathematics" and kill every barber, it seemed that endless disasters would come because of this!
He looked down and saw Lucian's words after this paradox: "Similar paradoxes are very frustrating to us, but this only shows that there are still many imrigors in our research, indicating that our past understanding of mathematics has a certain degree of deviation, so we should not despair and be confused, but should conduct in-depth research on set theory, and there is only one solution to the problem of mathematics, that is, to continue to study mathematics itself."
「…… Evans' arcane attitude is the foundation that supports him to achieve so much." Bergner exclaimed, returning to the set theory section, rethinking and researching, and the paradox of set can undoubtedly only be solved from set theory.
…………
「…… I'm your old friend 'Nightingale', and next is 'Arcane News' time ......"
The general education school is still on vacation, and Lang Man can only rely on programs such as "The Voice of the Mystery" and "World Real Channel" to learn about the latest developments in arcane.
「…… His Excellency Evans completed the masterpiece "Fundamentals of Mathematics", which solved the current problems in the field of mathematics and cleared the obstacles to progress, and the most eye-catching of them was not the previous content, but the ten problems raised later, which made the arcanists full of interest in research......"
「…… It must be said that the problem of being able to stump His Excellency Evans is indeed extraordinary, and so far no arcanist has claimed to have found an idea, and even His Excellency the Speaker and His Excellency Brooke have publicly admitted that it is not so easy to solve these seemingly simple problems......"
「…… It seems that whoever solves these ten problems will receive generous arcane points and become recognized authorities on mathematics, and these questions are ......"
The little boy Lang Man's eyes widened when he heard the question of being able to stump His Excellency Evans, and in disbelief, he had the urge to try again, if he could solve the problem that His Excellency Evans could not solve......
The problems Lucian selected were representative, but they all looked simple on the surface, so Lang Man could understand them with his weak foundation, and tried to take out paper and pen to test them.
「…… Lord Evans tells 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 itself will surely promote the development of the field of mathematics, which will support the study of the arcane...... This principle also applies to other fields of mathematics and science, in this pure world, we should not blindly pursue applied ......."
Lang Man couldn't take it anymore soon, but when he heard these words, a raging flame ignited in his heart, making his cheeks red: "The field of mathematics and science is so important? And it doesn't seem to need the support of magic...... Although I have poor mental talent, it does not mean that I do not have mathematical talent......"
"I must become an arcanist! An arcanist who is good at mathematics!"
…………
Due to the common characteristics of human nature, after reading "Fundamentals of Mathematics", most arcanists are curious and looking forward to try to solve the problem raised by Lucian. If you can really solve one of them, then you will reap unimaginable glory and benefits!
So, during this time, Estine and No-Daniel, who were walking in Alinge, often saw the Arcanists with blank expressions and vain walks, and they seemed to be immersed in their own world.
But as time goes by, there are fewer and fewer such arcanists, more battered faces, and the "Basics of Mathematics" in their hands are often marked with different symbols, some representing demons, some representing nightmares, and some representing labyrinths with no way out.
On the one hand, he was deeply struck by the paradox, and once again felt the hesitation, confusion and despair of the original determinism, and the uncertainty had not been confirmed by important experiments, but the paradox completely presented the contradiction in a simple and clear way, making them have to face it.
"If Harvin were still alive, after seeing this paradox, he would probably choose the same path......" Samantha looked out the window with a gloomy gaze.
The corners of Rachel's mouth twitched: "You also burned "Basics of Mathematics" to him...... Does this make him have nightmares after death...... For arcanists who are not good at mathematics, the knowledge of number theory, sets, groups, etc. in the first part is more terrifying than demons, making them want to tear the book apart......
"No matter what, mathematics will continue, and we will definitely find a way to solve it......" Samantha encouraged herself.
As a result, the rest of the magicians found that both the tower arcanists and the arcanists who were good at mathematics had become quite silent, and an outbreak was brewing in the silence.
…………
Inside the Atomic Research Institute.
Lucian, Natasha, Lazar, Annick and others gather in Heidi's exclusive lab to watch the first artificial intelligence assembled by her and Cherie.
In the center of the room, countless huge glass tubes were cleverly connected in series, with simple magic patterns and relatively complex alchemy devices, and a curtain made of special material like a water curtain was erected at the top.
"It's a big ......" Arestine was invited to visit, although she guessed the final shape through her usual observations, but the size of the artificial intelligence still exceeded her imagination.
This artificial intelligence temporarily lived in most of the room, which was equivalent to seven or eight golems.
Lucian nodded slightly, with the cooperation of magic, this was much smaller than the first computer on earth: "Good job, boot it up and demonstrate."
Heidi nervously pressed the power switch, only to see glass tubes light up one after another, flashing red and green light, and constantly changing, making the whole room look like a ball venue - due to the development of a series of different colors of magic crystal lamps, there are already balls experimenting with lighting changes.
With the magic assistance of "Input Data ......", Heidi did not come up with items such as perforated paper tapes, but directly used sound and button input.
After choosing a rather complex calculation, the red and green light flashed more and more violently, and the sound of the current was very obvious, and then the result appeared on the "curtain".
"The data is correct." Splinter interjected, "But I got the answer through the auxiliary algorithm a few seconds ago."
So, what's the use of this?
Heidi snorted quietly and set her sights on the teacher, hoping to be praised, this is only the first artificial intelligence, and there is still a lot of room for improvement!
I slept late last night, sorry, the first watch is delivered, I ask for a monthly pass on the first day of the new year~
(End of this chapter)