On Earth, the natural sciences have long been separated from philosophy.

The essence of philosophy lies in the overall grasp of the "world". However, how big the world can be seen clearly depends on how high the level of science is and how far the theory goes. Russell once said that as soon as knowledge of any science is possible to be determined, it is no longer called philosophy, but becomes an independent science.

Therefore, a philosophical system that philosophers have painstakingly built that can accommodate the known world will always be shattered with the advancement of science and the breakthrough of theory. No matter how great a philosopher is, this is no exception.

However, mathematics, known as the "queen of science", is an exception.

Mathematics has always been very close to philosophy. Although philosophers have never used mathematics to analyze the world, mathematicians have never entrusted what they have learned to the realm of philosophy. However, mathematics and philosophy are both isolated in the "other world" of the mind, and mathematics and philosophy are really similar in this respect.

Although Gauss despised Hegel and thought that Leibniz's distraction from mathematics was a waste of talent, he was actually a man who loved mathematics.

Russell, the mathematician who proposed the "barber's paradox" and triggered the third mathematical crisis, was still a philosopher by profession.

Gödel, one of the most gifted mathematicians of all time, was fond of expounding his philosophical speculation in his mathematical papers.

Sum up......

A mathematician who doesn't want to be a philosopher is not a good offender!

That's right, in this rich and compelling field, could Wang Qi be exempt from vulgarity in his previous life?

Feng Yi is only like an image, how can he know it?

This kind of reading question of "combining the language environment and saying what you understand" is what I played when I was a teenager......! I have nothing to fear anymore!

"It's just a calculation. ”

Chen Jingyun said: "Please explain in detail. ”

"In my opinion, the Tao is outside the heart, it can not be obtained behind closed doors, and it is not a metaphysical thought. Because the Tao is outside the heart, it is because I look at this Tao like seeing flowers in the fog, with a layer of cover called 'Xuanzhi and Xuan' in between. The clear calculation is to cover the mystery and build a bridge between heaven and earth between 'me' and 'Tao'. Arithmetic is not the way, it is not the way, but the veil of concealment, the way to seek the way. ”

"Papa" Deng Jiaxuan applauded: "That's a good point." ”

Wang Qi's words just now, especially the word "to cover", could actually touch him!

Wang Qi smiled proudly - the correspondence between Brother Tiandao only includes the field of natural science, and Heidegger's philosophy must have never heard of it!

The point is that Wang Qi himself really thinks so. In his previous life, he had his own set of opinions on mathematics, and now he is definitely not simply bluffing!

Thinking of this, Wang Qi glanced at Kehar again. This Yang God Pavilion Grandmaster said to Wang Qi, "You don't have to look at me. I've fine-tuned your state of mind so that you don't want to lie, so that you don't want to lie. They know all of this. ”

"At the beginning of ancient times, how could arithmetic stand?

In the early days of ancient times, when the human race was still in ignorance, who established arithmetic, and how did arithmetic develop in these 80,000 years?

"Arithmetic began with the needs of the human race, and flourished because of the prosperity of the human race. ”

"Please explain. ”

Wang Qi said eloquently: "At the beginning, arithmetic was just counting. The income of the Terrans from fishing and hunting needs to be counted, which is based on addition, subtraction, multiplication and division. And people are born with ten fingers, and they are advanced into one by ten rules of common arithmetic. Later, in order to depict things, the human race abstracted images from all things in heaven and earth, which is geometry. This is the beginning of arithmetic.

And I just said that it is a weapon to cover the mysteries. The more detailed the arithmetic, the sharper the 'tool for seeking the truth', and it is to perfect the arithmetic with the freedom of countless predecessors. Therefore, arithmetic has developed with the prosperity of the human race. ”

Ke Ha'er showed a surprised expression and turned to Chen Jingyun: "Master Chen, this kid's Dao Heart doesn't need to ask, it's too perfect! I have been a heart-shaking person with my disciples many times, but I have never heard of another disciple being like him." ”

Wang Qi sat on the ground, and his good impression of this Yang God Pavilion was rising in his heart.

Master, it would be nice if you wanted to be as happy as this one!

Chen Jingyun nodded lightly: "I have my own plans." Then he said, "That's the most important question, listen up." ”

Seeing that he said solemnly, Wang Qi couldn't help but swallow his saliva.

"The so-called arithmetic, is it complete, compatible, and can it be determined?"

Wang Qi was visibly stunned for a moment.

This question is too different from the previous two!

Is mathematics complete? Is every proposition provable or falsified?

Is mathematics compatible? Does it use the steps and sequences that follow logic and never exit contradictory propositions?

Is mathematics determinable? Is it possible to determine the truth or falsity of every proposition in a mechanical way?

Each of these three questions goes straight to the root of mathematics, and each of them is the deepest problem in the field of logic!

This kind of problem appears in the nature of the college entrance examination? This is like asking a high school student to solve the gauge field equation, it is impossible!

Wait a minute, since the history of the two worlds has diverged, and Gödel's isotope did not appear in the land of Shenzhou, so the first two questions are unsolvable at present...... The third problem on Earth was solved by Alan Turing, but ...... I haven't learned that yet, and I don't know if the old Turing in China solved the judgment problem - no, the inspiration for the judgment problem on Earth was also Gödel......

Is this a matter of pure faith?

Wang Qi's mind was racing, and it took a while to organize the language: "The third question, I think it's negative...... If the calculator can solve all the arithmetic problems, then what do we need to do?"

But how do you make up the first two questions? The answer in my heart is, of course, that "for a system of formal logic, completeness and compatibility cannot coexist...... But this is too specific, okay! If he gives me another "please explain", I won't be able to do it!

Chen Jingyun looked at Wang Qi's embarrassed expression and nodded: "These three questions are the most acute arithmetic questions, and you don't have to delve into them—then, the last question." Wang Qi, what is the relationship between you and the non-Daoist person? These three questions are not within the scope of the Immortal Academy Professor, but he sued you?"

Huh?

Huh?

Wang Qi was still stunned, but he had already spoken: "I have been a neighbor for a while......"

Hell, is this the meat of the show?

They really suspect that I have something to do with the unruly!

Fortunately, Chen Jingyun asked about "not allowed people" instead of "Heisenberg", otherwise I would have blurted out "Heisenberg is the scientist I admire the most"...... Your sister, you really can't wash yourself by jumping into the Yellow River!

"What else about that? What did he teach you? As soon as you entered the Immortal Academy, you were able to solve the problem of the apse of the Chuan Gong Palace, is it related to the people who are not allowed to do the Tao?"

"There's nothing more than teaching me to play chess. Wang Qi considered the language: "I can solve the problem, and it has nothing to do with the unobstructed person." ”

Fortunately...... If this person is asking "why can you solve the problem"...... It was so reckless at first......

It's good that this one doesn't know how to speak......

After listening to Wang Qi's answer, Chen Jingyun glanced at Kehar. But Harl nodded at him. Chen Jingyun then said, "Okay, we have been able to confirm that you have nothing to do with the Daoist Person. ”

Wang Qi breathed a long sigh of relief. Nima ...... Old man Hai hurts people......

But before he could fully indulge, Masako screamed in his head: "Be careful!"