Enter the Immortal Cultivation

There is no one way to reach the truth.

This is what mathematics itself told Wang Qi.

In the eyes of ordinary people, space is flat. For them, Euclidean geometry is the geometry that naturally arises from the physical world.

But in fact, there are no "straight lines" in nature. The concept of "straight line" contains no fewer traces of artificial carving than "arc" and "hyperbola". Euclidean geometry also does not occur naturally. It just simulates nature and space according to human senses.

If there is an intelligent race whose main senses are completely different from humans, then their concepts of geometry will also be completely different from humans.

Just like the Poseidon type. The geometry they first developed was not Euclidean geometry, but Rietzsche geometry with positive curvature. This is because they have no so-called "sight" at all, and their main perception is a sense similar to spiritual consciousness. On the other hand, their bodies were too large, which made them aware of the curvature of the planet itself early on.

Wang Qi only recently learned that there is actually a known race whose innate concept of space is Roche geometry with negative curvature.

That is the Dragon Clan.

In the past history, there have been very few dialogues between the human race and the dragon race. . Even if sometimes like-minded humans and dragons get together, the first thing they do is fight and exchange practices. The weirder ones are eating, drinking and experiencing the customs of foreign races, and occasionally they trade some rare items. However, it is really rare to sit down and talk about geometry together.

That is Wang Qi. these days. In addition to developing the data-based cultivation method step by step, he also prepared lessons for Gou Dabao at home. During this period, he discussed similar issues with everyone he could discuss - mainly Chen Youjia and Mi. If Yueluo Liuli hadn't been bored, Wang Qi wouldn't have thought of talking to her.

But, this talk. Only then did Wang Qi realize the magic of creation.

Today, the Dragon Clan is almost omnipotent. They have gotten rid of the shackles of their innate bloodline, and their cultivation system has reached its peak. However, for such a powerful ethnic group, there are also times when it is weak.

In the Mesozoic Era more than a billion years ago, the dragon race was just an ordinary race in the ocean. At that time, they did not have innate spiritual consciousness like they do now. Like many reptiles. The eyesight of the ancient dragons is very weak. And in the sea. There are too many factors that affect the propagation of light.

At that time, the future overlord of China could only rely on his voice. They rely on sound to communicate and to locate prey.

Sound is to the ancient dragon race what light is to the human race.

The problem is that light always travels in a straight line. The propagation of sound waves in sea water does not always follow a straight line. at a specific depth. The speed at which sound travels is directly proportional to water pressure—and, in a sense, to distance from the surface of the water. In other words, sound propagates in an arc in water.

If the arc is accurately described, then it is - "an arc whose center is on the surface of the ocean."

In the world of dragons, curvature is always negative.

In their minds, the sum of the interior angles of a triangle is always less than 180 degrees. There is no rectangle, and the right-angled pentagon is the easiest concept to understand.

After hundreds of millions of years of evolution, the sonar that the dragon clan relied on for survival has long been transformed into a dragon's roar that is so majestic that it doesn't look like a marine creature. And some of the concepts back then. But it has remained so until now.

For example, in the dragon martial arts, it is difficult to find a straight-forward "stab".

For the Dragon Clan, non-Euclidean geometry is called "Yuan Painting Method", while Euclidean geometry is called "Highland Painting Method", and Li's geometry is called "Dome Painting Method".

Suanjun once joked that there might be alien creatures. See the world from the perspective of non-Euclidean geometry. When he said this, he never thought that such a species actually existed in China.

In this regard, whales that also use sonar positioning do not have the same perspective as dragons. This is because most of the current practices of the demon clan are stolen from the human clan, and many of their ideas come from the human clan. In terms of civilization, they belong to the part that has been assimilated by human civilization.

Gou Dabao was once again deeply shocked by Wang Qi's discussion.

What follows is the key to Wang Qi's story.

"So, do you think that the human race, the dragon race, and the huge alien race I mentioned before [referring to the sea gods] can't understand each other?"

Gou Dabao took a deep breath: "No... Mr. also said that our human race can already understand the so-called Luo family geometry and Li family geometry..."

"In fact, in arithmetic, Luo's, Li's, and Ou's are all equivalent. It's like Shinto, martial arts, and ghost. Although they practice different methods, they are all monks, and their ultimate goal is to live forever. "Wang Qi said: "This illustrates two points: First, the real 'geometry' is beyond the conventional perception and conventional thinking of ordinary creatures, even if it is as strong as the dragon clan, it cannot only follow this 'rule'. It cannot be directly perceived. Secondly, whether we start from Euclidean geometry with zero curvature, Rietzsche geometry with positive curvature, or Roche geometry with negative curvature, we can eventually reach the final state. 'Geometry'.

"Three thousand avenues, different paths lead to the same destination..." Gou Dabao felt inexplicably moved. He almost fell to the ground and worshiped Wang Qi.

At this moment, he no longer had any grudges against Wan Dharma Sect's practice.

Wang Qi nodded slightly. He never believed that science was the only truth in the world. However, the greatest advantage of science is that it is the path of "one person's way is the way for ten thousand people". One person can present the results of his own thinking to another person without reservation, and can work together. In addition, it can also continuously overthrow itself, rebuild freely, and achieve nirvana continuously. Therefore, science has an almost eternal vitality that no one can defeat.

Wang Qi is already very satisfied with Gou Dabao's change in thinking.

He stood up and told Gou Dabao, "You continue to practice the Yi Bi Sutra for another three days. When you have a certain understanding of the arithmetic practice, you can use up your current magic power and practice it again!"

"Yes." Gou Dabao nodded seriously. Seeing that Wang Qi was about to leave, he hurriedly shouted: "Mr. Wang! Wait a minute! The students still have questions to ask!"

Seeing Wang Qi stop, Gou Dabao held the disciple's ceremony and asked: "Disciple heard that the Master Suan published a book, which was originally an Sutra. And in this Sutra, there are 500 pages. I’m talking about ‘one plus one’. Disciple, please come and tell me about ‘one plus one’ again.”

Wang Qi frowned: "With your current level, it seems that it's too early for you to do the math."

Gou Dabao's mathematics level is at that of junior high school, and will definitely not reach high school. Theoretical monographs are often something that even college students cannot get through.

This is like building the foundation stage and challenging the Nascent Soul stage. Although there is a special foundation-building period like Wang Qi's in the world, it is normal for Nascent Soul to crush the foundation-building period.

"Disciples don't dare to ask for understanding, but only want to be able to understand the truth."

Wang Qi thought for a while, this should be the first time Gou Dabao showed interest in mathematics. It was difficult to refuse this request, so he said: "Okay, then I will tell you about it."

The two sat down again. Wang Qi started from set theory and told Gou Dabao the definition of "when a set containing one element is merged with another set that also contains an element, the resulting union always has two elements", and then extended Go and talk about many other things.

Gou Dabao was confused: "One plus one equals two... One plus one equals two... This... there is really so much to say..."

Wang Qi chuckled: "That's it."

"It's really awesome!"

Wang Qi shook his head: "It's a pity. For now, this is just a loft in the sky. It looks beautiful."

Gou Dabao was puzzled: "Why?"

"Because its foundation has not been confirmed yet." Wang Qi said here and added in his heart: And it is impossible to confirm it.

Gou Dabao's eyes widened: "Why? This is not self-explanatory...ah..."

Wang Qi once said to him that "self-evident" is a taboo in seeking Tao. Everything ultimately comes down to words.

Gou Dabao looked like his worldview had collapsed: "Is it possible that one plus one equals three? Equal to zero?"

"Logically, this possibility cannot be denied." Wang Qi said: "We have not proven that set theory is completely self-consistent, so logically, there is really no way to conclude that one plus one equals three cannot be proven... "

"How can this be……"

Wang Qi asked: "Can you find 'one' and 'two'?"

What is "one"? What is "two"?

This is equally a simple and complex question. It is said that it is simple and even children who cannot speak can distinguish it. Saying it is difficult would trouble even a mathematician of Jun Pang Jialai's level.

Gou Dabao first wrote "one" on the ground, but Wang Qi casually drew a circle and said, "Now, I stipulate that the meaning of this circle is 'one', 'single', and 'one'."

Gou Dabao suddenly realized. He held out another finger. Wang Qi still shook his head: "This is a 'finger', not a 'one'."

What is "one"?

"One" is a concept, an objective fact that transcends human thinking.

In front of this Zen opportunity, Gou Dabao trembled. He said: "Please ask the teacher to clarify my doubts."

"'Numbers' themselves are self-sufficient, and people just extract them from the nature of heaven and earth. This does not only refer to integers, but also includes delusional numbers and transcendental numbers. A typical delusional number, the root number two, is It is derived from the square. The typical transcendental number pi is derived from the circle. "We never invented numbers. We did not rely on rational thinking to understand numbers." An innate feeling.”

“Is this the essence of ‘number’?”

Wang Qi nodded and continued: "Numbers are a natural product of heaven and earth. They do not need to follow human concepts. However, from beginning to end, no one is worried about 'one plus one equals three'. Why do you think it is?" (Unfinished) To be continued~^~)

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