Two hours later, Luciene, a blonde woman who had arrived from American University, came to Vincent's office, greeted the two old math professors, and then took out a book about a finger thick with a blue cover from her bag. Pen, fun, and www.biquge.info

"This is the new book written by Zhou Chen?" Vincent and Thurst came together and eagerly opened the book.

After a while, Vincent's brows tightened: "Well, this is a new kind of mathematical definition......"

The first chapter of the opening chapter surprisingly does not contain any opening meaning, but instead starts with several pages of definitions, yes, definitions of mathematical operators!

After patiently reading the first few pages, Vincent and Thurst looked confused, and Zhou Chen's book made them feel like they were learning mathematics again.

"Seems interesting......" Vincent smiled awkwardly and flipped to the second chapter.

Chapter 2 deals with mathematics and lists several axioms that hold true in imaginary geometry, as well as theorems that can be deduced.

At this moment, Vincent and Thurst suddenly discovered that this was actually a new version of mathematics that was completely independent of the existing mathematical system!

You must know that the Riemannian geometry, Euclidean geometry, and Lobachevsky geometry mentioned in the past, although they are different in one way or another, they are still based on classical mathematics in the final analysis.

However, Zhou Chen's "imaginary geometry" subverted Vincent's understanding, it was not based on classical mathematics, but completely re-derived a mathematical system!

It's a daunting amount of work!

"It seems that if this continues, another world can be opened, but I don't know if it can complete self-consistency?"

Vincent thought about it, and couldn't help but shake his head, thinking that only through the extremely powerful supercomputer, the compilation of the imaginary geometry environment, and then through continuous deduction can find the so-called axioms.

Since this book can be grandly listed in Huaxia University and American University, I think Zhou Chen's attempt will definitely be successful. But is it necessary to build a separate mathematical system?

In Vincent's view, the logical environment of classical mathematics is already the most direct reflection of human thinking, so why bother to create another one?

Take "1+1=2" as an example, classical mathematics is so crisp, human thinking directly determines the "additivity" between numbers, but in imaginary geometry, it starts with a few characters defined as "1", and then involves the change of physical rules, through the change of spatial topology, after going around a large circle, a character equivalent to the definition of "2" is obtained.

Although Arabic numerals 1 and 2 are used, the process of arriving at each other is very different from that of classical mathematics.

In classical mathematics, "1+1=2" comes from human observation of things, human beings dimly realize that putting one sheep and another sheep together becomes two sheep, then 1+1, in the case of physical rules locked, logical judgment is equal to 2!

In other words, the foundation of classical mathematics is based on certain fixed physical rules observed by the naked eye, and although it has obtained many mathematical inferences beyond the visible to the naked eye with the divergence of human thinking (one of the special inferences may correspond to the physical rules of reality), it is undeniable that classical mathematics has some limitations at its root.

This limitation does not mean that mathematics cannot deduce "everything", in fact, even mathematics with limited roots can still find all the laws of all things through divergence according to "the only criterion of self-consistency".

But in a way, its limitations are bound to be revealed.

Because it is the foundation of mathematics established through physical rules that are visible to the naked eye, it is definitely the physical rules that are visible to the naked eye, so when deriving some conventional rules, classical mathematics is like a fish in water, and the best formulas can be obtained!

But...... So the question is, what if some extraordinarily ordinary rules are derived? What if one sheep is put together with the other, and it does not show the condition of two sheep?

Then it is limited, and this limitation is manifested in the ability to express that kind of rule!

Formulas are getting more and more complex, and there are more and more operators, for example, what is the desperate formula that appears in reality? Is it some hypothetical formula that is outrageously complex to explain the grand unification theory? No, that's a hypothesis after all, and you can't do it!

Many people may not know that the real desperate formula is the formula for calculating the sound field of the cross-finger transducer in the far sound field.

This is known as the most complicated formula in the world, this formula is so complicated that there is no way to answer you here, and there is no way to go to Baidu, you go to find a blank notebook, and it takes more than 100 pages to barely finish it.

There are many people who are full of admiration for classical mathematics, and list the ten classical formulas that explain the theorem of all things, including the Pythagorean theorem, the area formula, the mass-energy equation, 1+1=2, Maxwell's equation, and then exclaimed: "Anyone who can understand these formulas must feel a cool breeze behind him - if God does not exist, how can such a perfect equation be explained?" ”

But if he sees the "formula for calculating the sound field of the cross-finger transducer in the field of distant sound", should he give birth to another kind of despair—the original all-knowing and all-powerful God, there is also a place where glory cannot shine?

Zhou Chen's imaginary geometry adopts the opposite approach, defining a mathematical world that is extremely inconsistent with reality from the beginning, so it is difficult to deal with simple problems, and when the "model" tends to its world, the formula becomes simpler.

Vincent and Thurst spent an afternoon studying the textbook, and finally had to admit that the knowledge in the book could not be thoroughly understood in a day or two.

In the face of new knowledge, they are like seven or eight-year-old children, and the trouble is that they are not children with blank hearts, their hearts have been filled with classical mathematics, because of the inherent common sense, it is not so easy to understand it!

Putting down the book, the two old professors and the blonde Lucini glanced at each other, and a kind of fear spontaneously arose in their hearts.

They realize that the foundation of classical mathematics seems to be being violently pried, and in the future, will classical mathematics only be exclusive to the low-end field, and in the high-end field, will it become more and more useless?

Once mathematics as "common sense" loses its role, will their status as followers of common sense also be shaken?

No longer enjoys a high status, no longer has abundant research funds, like an outdated mathematician abandoned by the times, becoming a pitiful ...... All of this is a terrifying thing to think about.

"No! No way! There was a demonic voice howling madly in my heart, "We must not let it come out, we must not let it come out, we must not let it appear, we must not destroy the lofty status of classical mathematics in people's minds because of its appearance!" ”

Destruction! Suppress! Destroy! Everything must be done to stop its promotion!

Yes, conservative forces are subconsciously fighting against the emergence of a new mathematics called imaginary geometry!

However, thinking that the person who published it was Zhou Chen, and the book had been used as a mathematics teaching book for Huaxia University and American University, the general trend had been achieved, Vincent and Thurst felt powerless in their hearts, but soon, their eyes suddenly lit up, and Vincent and Thurst looked up at each other at the same time, as if they saw another bright passage in front of them.

Since it can't be destroyed, why not be its forerunners, Vincent and Thurst don't believe it, with their knowledge, will they not be able to accept new knowledge?

For a while, the melancholy dissipated, and the two old men, who were already over sixty years old, seemed to have returned to their youthful days.

"Little Lucinie, can you leave us a photocopy of this book, Thurst and I are going to study it well!" Professor Vincent said to the blonde woman with a shy face.

Although the book is not very thick, it is estimated that it will take some time to complete the photocopying.

Lucini smiled lightly and said, "Of course it's fine, Mr. Vincent!" ”

"That's great, without further ado, I'll take it to the copy room!" Professor Vincent got up excitedly as he spoke, and muttered as he went, "Well, there should be a few more copies, I have to keep a few copies here, Thurst to take a few copies, and a few to Angus and Abel!" ”

Looking at his posture, he is ready to prepare a copy for every professor in the mathematics department of Princeton University!

Thurst looked at Vincent, who was a little nervous, helplessly, shrugged his shoulders and said to Lucie: "Your teacher has always thought that the mathematics department is Princeton's proudest major, and he doesn't want to lose the prestige of the school!" ”

Lucini shook her head with a smile and replied, "In recent years, American University has also caught up, and it is only a matter of time before it overtakes Princeton." ”

"Well, your teacher will be mad if he hears his disciple say such a thing." Professor Thurst joked with a smile on his face.

(To be continued.) )