Magical daily life after reincarnation

Chapter 58 Three plus three equals six
"It takes so long to work on these few topics, and the first-year pupil in front of you can do it faster than you." Professor White took the homework book Turner handed over, opened it and looked through it.

Turner didn't reply, but just glanced at the old and comfortable Talo with a vicious look.

He wanted to reprimand the old professor on the spot for deliberately targeting and suppressing him in order to cling to the powerful, without any morals that a mentor should have.

But it's a pity that I don't have the guts to express my protest with a bad face.

Mathematics has always been his weakness, and he used to have the help of his friends, but now no one wants to have a little contact with him, and these problems are only solved by himself after working hard for a long time.

Professor White carefully sketched a few times in his exercise book, carefully marked a few related formulas next to a few wrong and outrageous answers, and then threw it back into Turner's arms: "Is there any dissatisfaction on your expression? ?”

Turner didn't reply, his dissatisfaction and resentment were already written all over his face.

The reason why Professor White targeted Turner was not all because of his bad relationship with Tullow. Turner's math performance was not very good at the beginning, and after the second half of the first grade, he plagiarized and perfunctory.

Finally, I heard that as a second-year student, he actually went to make an appointment with a first-year student. This person was Tullow, whom he valued, and what happened later.

"If you were half as smart as Tullow, you wouldn't come to hand in your homework on your day off." Professor White shook his head and sighed.

After several comparisons, Turner couldn't bear it anymore.

"Because he is the only son of the Grand Duke of Tars, he should be several times smarter than others. You also saw Tars's unique intelligence so you like him so much, right?"

"Don't tell me, it's because he drew two lines, and then marked a few numbers on them casually, so he can be loved like this by you." Turner said contemptuously.

Professor White always likes to tell students about some of the latest explorations and developments in the academic world. Regardless of whether the students can understand him or not, he will try his best to let everyone know where the frontier of mathematics has come.

Not surprisingly, he also specifically talked about the principle and composition of the coordinate system, and greatly praised Tullow's intelligence and contribution.

Students who can understand will naturally be amazed by Tullo's talent and talent, but those who cannot understand its meaning, such as Turner, will only feel that the professor is making a fuss out of a molehill and simply wants to cling to Tallo.

In his heart, even if Tullow just draws two lines, the numbers can be omitted, and the professor can blow them up to the sky.

Hearing this, not only Professor White, but also several other old professors couldn't sit still.

Recently, they have been constantly researching and thinking about these two lines and the numbers marked on them every day, and their status in the academic world has been improved based on this.

If it is just insulting their personality, they may just laugh casually and let it go, but if insulting the subject they are studying and the results of hard work, then they are not just angry.

"You can let Turner stay here first, and listen to Tullow's next opinion, maybe there will be some changes." Professor Shawei, the oldest and kindest person among them, suppressed his desire to say indecent words, and made such a suggestion.

The other professors did not have much objection either.

"Just like what Shawei said, you stay here for now, maybe you will realize how stupid what you said in a while." Professor White said coldly, letting Turner stay.

Tullow didn't feel much about this, but felt that Turner was a real headstrong.

"The things I talked about just now mainly revolved around the understanding of mathematics, but mathematics is also a tool for understanding." Based on what happened just now, Tullow thought about the direction to talk about next.

Turner's performance is precisely because he did not understand the meaning of the coordinate system, so he said those derogatory words.

Mathematics is one of the greatest tools of understanding that humans have ever created.

"The existing great sage Kanter once said that numbers can only be sensed through intuition. They are expressed prior to experience, just like my fingers." Tullow stretched out two hands and raised three fingers respectively.

"The reason why three plus three is six is ​​also because we can intuitively perceive it." Tulo overlapped his fingers on both sides to make an example.

"Admittedly, this is a way of understanding addition, and it is very intuitive, and it is self-evident." Tullow released his hands, and then closed them again.

"But I thought of another way, a way of proof that can be separated from objective things and presented directly from logic, proving why three plus three can equal six."

The old professors all showed serious expressions when they heard this, and two of them even conjured up blank paper and quills.

On the other hand, Turner curled his lips and smiled with a sarcasm on his face. This kind of thing needs to be proved? !

"For this, I first set five axioms as the basis."

"One, 'one' is a natural number."

"Second, all natural numbers have adjacent numbers, which are called the successor numbers of this natural number, which are also natural numbers."

"[-]. The successor of any natural number is not 'one'."

"Fourth, pick two natural numbers arbitrarily, and call one n and the other m. If the successor number of n and the successor number of m are the same number, then n and m are not two different natural numbers, but the same .”

"[-]. Assume that the natural number 'one' has a characteristic. If any natural number n has this characteristic, then the successors of n also have this characteristic. From the previous two sentences, it can be concluded that all natural numbers have this characteristic."

What Tullow was talking about was the Peano axiom formulated by the mathematician Peano in the [-]th century. Among the four arithmetic operations of addition, subtraction, multiplication and division of natural numbers, the system constructed by Peano is the most famous.

In his previous life, when he saw a mathematician using this axiom to build a real analysis on it, he was quite shocked by it.

"If the professors understand, then on this basis, the third number after three is six, so three plus three can equal six."

There is actually a second version of Peano's axiom, which is to use zero as the starting number, but Tullow does not intend to directly advance it to this stage, and what has been said so far is enough.

"Different perspectives bring us different things, and so does the coordinate system, and so does this axiom."

"When we walk to the beach, we can see the vastness of the sea, smell the smell of the sea, reach out to brush the waves, and feel the rise and fall of the waves."

"But mathematics, which allows us to go deep into the sea, gives us the perspective to see the whole structure from the inside, gives us eyes in the fog."

Listening to Tullow's statement, the old professors couldn't hide their excitement at the moment, and Professor White's eyes were full of old tears, and his rough old hands gently stroked the few axioms he had just written down with a feather.

(End of this chapter)