Chapter 555 New Lessons

   "One and two make two, one and two make three, addition, in the system of mathematics, is the result."

   "But math, never for math's sake. It doesn't make much sense to talk about math without concrete things."

"There is a record in Wang Yangming's "Biography of Xilu". Wang Yangming and his friends traveled together, and one person pointed to the flowers and trees in the mountains and said: 'Old Wang, as you said, there is nothing in the world. But like these flowers and plants, in the deep mountains, What does it have to do with my heart?'"

   "Wang Yangming's answer?" Mr. Chen paused.

  Xu Guangling replied: "When you haven't seen this flower, this flower and your heart are in silence. When you look at this flower, the color of this flower will be instantly understood."

   Mr. Chen nodded with a smile, "This is from the standpoint of a human, looking at all things in the world, emphasizing the uniqueness and centrality of human beings.

   "The flowers and plants in the mountains bloom and fall by themselves. 'The grass and trees have their own hearts, what is the beauty of them?' This is from the standpoint of plants and trees, and it is also from the standpoint of all things in the world."

   "But we are human beings, and we cannot talk about all things without human beings. What is good, what is bad, what is useful and what is not useful, all these require a preset precondition, that is, the position of man."

   "Without a position, there is no good or bad, no use and no use."

  "It is also meaningless to talk about everything in the world by going further to me, leaving "I"."

"Just like the old man and I, if the old man has his braids now, then the next moment, tomorrow, then in the future, I would say that if you plant any good trees, and what delicious food you make, no matter how good things are, it has nothing to do with the old man. already."

   "Outward radiation, China, the whole world, the entire earth, the entire solar system, the entire universe... Everything has nothing to do with this old man."

   "So the world is big and small."

   "Big, it's them and theirs, it's all things in the world and other human beings; small, it's the old man's own, specific to the present, the old man's world is only this mountain and the two of you."

"Trees need roots, and people have their roots. Trees are thousands of feet high, and they can't be separated from their roots. No matter how prosperous people are, don't forget their roots. No matter how prosperous the flowers are, the more vigorous the fire and the oil are, and the roots are removed, they will soon fade away. Death.

   "Understanding the fundamentals can we have stable survival and further development."

   "In the mathematical system, this is a coordinate system, the establishment of the origin of coordinates."

   Xu Guangling nodded solemnly.

"Apart from me, it is meaningless to talk about us, human beings, and the whole world. In this world, many people do not understand the difference between 'I' and 'us', and often regard 'our' as 'mine' ', and fell into a false sense of contentment and misery."

   "In the modern society, knowledge is very explosive, the economy is very developed, and science is very prosperous."

   "How many trillions of GDP."

   "A new generation of artificial satellites has risen again."

   "The detection of the telescope has already extended many light-years beyond the earth."

"These, from the standpoint of 'I', are all flowers and embellishments. Using mathematical thinking, you can peel off this background, and fly back your physical and mental consciousness from the far point of the coordinate system of the world, from the far point back. To the origin, from colorful to black and white, although I know white, but keep black, in order to purify body and mind, stick to and develop the foundation.”

   Xu Guangling nodded again.

   This is exactly what he is doing right now. The achievement of knowledge requires him to return to his simplicity, to abandon the white and keep the black, and to abandon all kinds of things in the world, and come here to be a nameless hermit in the nameless mountain.

   "To talk about everything without me, and talk about mathematics without everything is false."

   "The fundamental meaning of mathematics is to measure and construct other systems as quantities and variables."

"One, two, three and four are the foundation. Addition, subtraction, multiplication and division are changes. Quantitative and variable are the two major elements of mathematics. Expressed in our culture, it is yin and yang. Yin is quantitative and unchanged, and yang is variable. It's always changing."

   "Unchanged is not really constant, but gradual."

   "Changes are not real changes, but changes according to certain quantifiable rules. On the basis of mastering the rules, they can be regarded as unchanged."

   "It's like the rotation of the solar system in several large quantities."

   "They are constantly changing, but from another perspective, we can regard them as constant, and we can quantify their position at any time even without observation."

   Xu Guangling nodded.

   "This orange." Mr. Chen weighed the orange in his hand, "If it is placed here, it will slowly rot."

   "During this process, the change of the date is an addition, one plus one plus one plus one, and it keeps adding."

"But the rate at which the orange rots is not an addition. The decay is due to the growth of microorganisms, and the reproduction of microorganisms is explosive, so the rate of orange decay cannot be a simple addition, and other algorithms must be introduced, such as Multiplication, like exponentiation."

   Xu Guangling nodded.

   "Therefore, mathematics is born of necessity."

"There is a phenomenon in our world, extract this phenomenon and map it to mathematics, it becomes the 'addition' in mathematics, there is another phenomenon in our world, extract this phenomenon and map it to mathematics , it became the 'multiplication' in mathematics."

   "So, what is math? Math is a map of the world."

   "Our understanding of the world is getting deeper and deeper, and the number of algorithms we need to establish are getting more and more complicated."

   "So, mathematics is also an indicator of world civilization, just like a thermometer. If there is civilization, there must be mathematics, and the development of mathematics usually represents the height of people's understanding and application of the world."

   "If in the future, we travel to the universe and encounter another civilization."

   "How to recognize, analyze, locate and measure this civilization?"

   "The best, fastest, and easiest way is to study its mathematics. One formula, one algorithm, corresponds to one phenomenon."

  Xu Guangling nodded again, and because of the old man's remarks, he decided to include mathematics in the study and research projects.

  Besides medicine and food, he wants to become a master of mathematics.

   "What is math? Math is a mapping of the world."

   "What is math?"

   "Numbers first, shapes second. Mathematics before the seventeenth century was simply numbers and shapes. It can be applied perfectly to a static world."

   "But this world is not static, but dynamic."

   "The decay of an orange is dynamic, and if I throw this orange, the whole process from throwing it to before it hits the ground is dynamic. Simple numbers and shapes cannot describe this phenomenon."

   "Mathematics starts here, from constant math to variable math."

   "Whether it is constant mathematics or variable mathematics, what they describe is an inevitable and definite phenomenon. But in this world, there are some phenomena that cannot be described by necessity and certainty."

   "It's still the rot of the oranges. If a box of oranges is left there, how many days will it rot? How many days will it rot before they all rot?"

   "From a purely mathematical point of view, it is necessary, there are definite numbers."

"But in terms of actual phenomena, it is uncertain. The size and texture of the box of oranges, the location and time of storage of the box of oranges, the factors of the box of the box of oranges, etc., all form a lot of complex factors that cannot be simplified. A quantified 'number'."

   "So in this case, even variable mathematics is not enough to describe this phenomenon, and things such as probability must be introduced, and mathematics will enter probability mathematics and fuzzy mathematics from here."

   Xu Guangling still nodded.

   "Constant mathematics, variable mathematics, probabilistic mathematics, and fuzzy mathematics are also the four steps in the development of mathematics in our world, from ancient times to modern times."

   "Today's first lesson, we'll start with constant math."

  ==

  Thanks to "zhenglj" for the support of the recommendation ticket.

  Thanks for the monthly ticket of "Sick Child 1".

   (end of this chapter)