Chapter 20: The Spirit of Skepticism
Fengyi, with the help of many Mo disciples, Dai Yan's control over the entire Fengyi immediately increased. Pen "Fun" Pavilion www.biquge.info
It has been almost two months since he accepted the Mo family, and in these two months, after a lot of diplomatic activities, the two countries have preliminarily reached the detailed rules of the two prime ministers, but the Song State is worthy of being called the deaf Song Dynasty, and the response to the outside world is extremely slow. Dai Yan only listened to the passing travelers now when he said that Qi was talking about Qi Hou becoming king, and he didn't pay much attention to this matter, he paid more attention to the governance of Fengyi.
With the help of the Mo disciples and Dai Yan's unreserved teaching of geometry, the large amount of disputed land caused by the flood in Fengyi was quickly clarified, and the farmers were soon engaged in busy farming. This situation is very different from that of Fengyi's neighboring Zhuyi, which has seen several bloody conflicts over a large number of disputed land. When the people in the neighboring Zhuyi heard that Fengyi had a method that could accurately measure the land, some people even made a special trip to Fengyi to ask the disciples of the Mo family to come over to help, which also made the influence of the Mo family begin to expand among the lower class people. And Dai Yan had the assistance of the Mo family and his retainers, but there was nothing big in the city, so he took the retainers to inspect the cultivation of the people, and he wanted to observe what the level of agriculture was at this time.
He was extremely disappointed with the results of his observations. The Song region can be regarded as a place that has been developed for thousands of years, but the level of agriculture at this time is still extremely low. At this time, metal tools were extremely scarce in the hands of the peasants, and as far as he personally investigated, most of the peasants' farm tools were either made of wood or stone, and the only metal farm tool was a copper sickle. The wooden plough was already in existence, but there were very few large livestock, cattle and horses. As far as he could see, at least 10 families shared a cow or horse. Many farmers are fathers and sons, who use manpower to support wooden plows to reclaim acres of fields, which makes Dai Yan feel bitter.
Dai Yan was extremely puzzled by this situation, didn't the history books say that the biggest change in the Spring and Autumn Period and the Warring States Period was the widespread use of iron farming tools, why did he see such a scene? He asked the giant Tian Jiu about this question. From Tian Jiu's mouth to ask about the situation at this time, coupled with his own thinking, he can finally understand.
In this era, copper can be said to be used as a common currency among the kingdoms of the world, and a family that can have a copper sickle may be a wealth that it took many years to save up. The iron-smelting technology of this era was not developed, and people in this era did not have much experience in the rust prevention of iron farming tools, so the use of iron was not as extensive as Dai Yan imagined. Of course, the more important reason is that South Korea controls the most important iron mine in the world, Yiyang, and it can be said that at least ninety percent of the world's iron comes from South Korea. South Korea can become one of the great powers in the world, and the iron weapons produced by Yiyang Iron Mine have contributed a lot. Although South Korea is a strong country, Qin, Chu, Wei, and Zhao who surrounded it are not weak countries, and South Korea can only arm itself with all its might. Most of the iron produced in Yiyang is used to make weapons, and how much surplus iron can be used to make agricultural tools?
In fact, until the Han Dynasty, iron farm tools were a luxury for farmers at that time, and only landlords could have limited iron farm tools in their hands. In fact, it was not until the Northern Song Dynasty that Chinese peasants began to use iron farming tools on a large scale. During the Northern Song Dynasty, due to the large-scale use of coal to make iron, the output of iron could reach between 75,000 and 150,000 tons a year, which was almost equivalent to the iron production of all European countries before the Industrial Revolution combined. With such a large scale, the price of iron has been greatly reduced, and ordinary farmers can afford to use iron, which makes it possible to cultivate deeply. As a direct result of large-scale intensive cultivation, China's population exceeded 100 million for the first time during the Northern Song Dynasty, and it was no accident that the Northern Song Dynasty was able to support almost twice the population of the Han and Tang dynasties with a land much smaller than that of the Han and Tang dynasties?
Of course, Dai Yan didn't know this, but that didn't prevent him from thinking in this direction. In his opinion, as the lord of Fengyi, he was born with an obligation to help the people of Fengyi live a better life. During his visit, he also discovered an astonishing phenomenon, that is, the utilization rate of land at this time was simply too low. Basically, people only reclaimed the land close to the river and lake, and the land beyond a certain limit was all barren and overgrown with weeds, which was too different from the scene that Dai Yan saw in later generations. Dai Yan clearly remembered that in the countryside of later generations, basically the land he could see, except for mountains and cemeteries, there was no land that was not cultivated, but in another time and space, why did there appear so much wasteland?
He posed this question to the dove, and the answer was that only land near the water's edge could be used for arable land. Agriculture requires water, so how can a field be cultivated without water? In fact, the use of land by Chinese farmers in later generations was close to the limit, and it was entirely because the state invested heavily in water conservancy construction after the founding of the People's Republic of China, and built more than 80,000 reservoirs in 50 years.
Of course, Dai Yan didn't know the reasons for the changes in later generations, but he still found out the direction he needed to work on from these situations: digging ditches. He clearly remembered that the first thing Ximen Leopard did in this era was to sink those witches into the river, and the second thing was to dig a ditch. Later, Li Bing of the Qin State also built Dujiangyan, so that Shu became the granary of the Qin State. It seems that in order to make their own territory well, it is inevitable to repair water conservancy.
His fief is Fengyi, but no one can say exactly how big this fief is. Because at this time, the fiefdom was only a city, and the common people who lived in the city near the city were naturally his subjects. It is difficult to say exactly how large the countryside is attached to the city, and the map at this time is extremely inaccurate. Dai Yan had seen the map of Fengyi, which was like a landscape painting, which simply drew the trend of mountains and rivers, and then indicated some important place names and villages.
When Dai Yan began to fully understand the state of his fiefdom and sought to change, the first thing he did was to ask the Mo disciples to draw a map of the entire Fengyi. Since the disciples of the Mo family studied geometry, their research on this subject has reached the point of forgetting to sleep and eat. Because when Dai Yan taught this science, he stated in advance that this study is an open science, and anyone who can achieve achievements in this study can obtain the right to name it. For example, Tangzi proposed and proved the three-line combination theorem of an isosceles triangle, and Dai Yan immediately named it Tang's theorem, which greatly stimulated the desire of the Mohist disciples to learn this knowledge. Later, Dai Yan personally demonstrated the Pythagorean theorem, and proposed trigonometric functions and trigonometry, and the disciples of the Mohists attached great importance to the practical application of knowledge, so Dai Yan gave them the task of measuring the surroundings of Fengyi and drawing accurate maps.
In between, there was also a "little thing". Before proposing the Pythagorean theorem, Dai Yan once gave a definition of numbers: any number in the world can be expressed as the ratio of two integers. This kind of intuitive and empirical "truth" no one finds inappropriate, but this is actually a small test that Dai Yan made on the Mo disciples, and he wanted to see if the Mo disciples had a skeptical scientific spirit.
Soon, when Dai proved the Pythagorean theorem, the tangzi discovered a new number - the root number 2. He soon discovered that this number could not be expressed as a ratio of two numbers, and this phenomenon that defied common sense and experience frightened him, and he carefully told the giant Tian Jiu about it, and Tian Jiu was also extremely confused about the matter after research, and then he had to turn to Dai Yan for help. Dai Yan laughed at this, and then asked Tian Jiu to gather all the Mo disciples who studied geometry, and he raised the question again and handed it to the disciples, asking the Mo disciples if they could give an explanation. Naturally, no one could explain it, but they did not dare to overturn Dai Yan's definition of logarithms, and when everyone didn't know what to do, Dai Yan took it upon himself to change his definition of numbers, and he named the original definition of numbers as rational numbers, and the newly discovered numbers as irrational numbers - which means numbers that people's intuition and experience are incomprehensible.
This made the disciples of the Mo family blow up, as if there was a feeling that the sky had fallen. In their view, they abandoned the Mohist Mojing and turned to Dai Yan, the most important of which was that they believed that the knowledge taught by Dai Yan was the true truth, the law of the world. But how can the laws of the world be so easily changed?
Dai Yan said to everyone: "My study is the study of the truth of the world, but how rare is the truth? Is the truth summarized by intuition and experience the truth? No, it needs to stand up to the test of logic. However, the logically tested truth is the truth, and it does not, it also needs to be able to truly reflect reality. What do we need in all this? What we need is a spirit of skepticism. We need to be skeptical of any theorems and truths that we have already proven, and if there are special cases in the future, then the original truth must not be correct, and this is what makes my science the most different from other studies. Your disciples of the Mohist family will not doubt the correctness of Mozi's remarks when they study the knowledge of the Mohists, and the disciples of Confucianism will not deny the correctness of Confucius's remarks, but in my eyes these are simply indescribable. Without a spirit of doubt, how is it possible to discover the true truth? At the end of the day, he looked extremely excited.
Since ancient times, China has many fine traditions, such as respecting teachers and respecting the Tao, respecting the old and loving the young, and being loyal to the monarch and loving the country. However, only in terms of learning, there is an extreme lack of skepticism, even if the Warring States Period is the era of the best atmosphere in history, people must think that what their ancestors said must be right, and the words and practices of the ancient holy kings must be right. If the facts prove that they are wrong, then the disciples of the future generations will never admit it, they will only say that it is because you misunderstood, or it was wrong when it was circulated, and they will never admit that the Holy King and the Patriarch are wrong. The disciples of the Mo family were originally the same, but when Dai Yan gave the disciples of Nanmo guidance and made them have a spirit of doubt, the Mo family of this school finally began to embark on a path that was very different from that of all schools in the world.
Except for Dai Yan, no one knew that the "first mathematical crisis" in the history of the East was easily solved. You know, in ancient Greece, the Pythagoreans also encountered a similar problem, but they sank the discoverer of irrational numbers, Hippasus, into the sea, and this kind of forbidden area for science was not gradually broken until the scientific revolution in the 16th century. And this has thus become the turning point of the two major civilizations in the future.