? This paper is a part of the series "Three Views System-World Outlook". Following the previous content, I want to explain the inference of my world view. The core purpose of this paper is to deduce the five elements of my world view one by one, namely, the real world, the real world, the projection end, the projection and the perception, so that you can understand that the world view is explaining things (what is the world view? It is mentioned in the article that the world outlook is the first assumption you call when you explain the world. This article hopes to give you a deeper understanding of this sentence. ) the power of being the overall situation.

About the inference of the world outlook, I probably have to write 3-5 articles to complete, and the overall logic is:

? Define key concepts: dimension, interpretation and consistency;

? According to the five elements of the world outlook, draw inferences one by one.

The definition part may be a bit boring, but because the concept is very important, it is the starting point of all discussions and has the effect of diminishing marginal cost. Therefore, it is still necessary to clarify some key words. I hope that everyone will be psychologically prepared to avoid missing important values because of the arbitrary decision of the system 1.

Because there is a process of projection in my world view, the projection from the upper level to the next level is essentially the reduction from high dimension to low dimension. In order to make the world outlook clearer, I must define "dimension", which will appear in a series of fields such as three views, systematic thinking, thinking expression, problem solving, inspiration and creativity, and will be used very frequently.

So, what does dimension mean?

When we talk about "dimensions", we usually think of coordinate axes and space-time systems. Let's look at the coordinate axis first:

As long as you have studied junior high school mathematics in the above picture, you should know that this is our coordinate axis and coordinate system, which we call spatial coordinate. Every extra "axis" is equivalent to an extra dimension. Therefore, a dimension has its first narrow definition: a dimension is the number of coordinate axes, and each additional coordinate axis adds another dimension.

However, this definition will soon encounter bottlenecks. We can say one-dimensional space, two-dimensional space and three-dimensional space, but what is a four-dimensional space or even a higher-dimensional space? We can't draw it anymore.

Since there is "space", we naturally think of "time and space" (the fallacy of human thinking regards correlation as causality, and time and space are related, so we should gather four dimensions into time)?

So many people naturally think that four dimensions are: three-dimensional space+one-dimensional time; The five dimensions are: three-dimensional space+two-dimensional time; Six dimensions are: three-dimensional space+three-dimensional time; Seven dimensions are: six-dimensional points become straight lines; Eight dimensions: the six-dimensional point becomes a plane; Nine dimensions: six-dimensional points become three-dimensional; Ten dimensions: infinite possibilities ... (The above logic comes from the famous video: "Understanding a Picture: From Zero Dimension to ten dimensional space", please Baidu yourself. )

But up? It seems that the routine of "time and space" is not working, so string theory is called to form the concept of 26-dimensional space ... I don't understand. Let's study it yourself.

Let's go back to the key question: "What exactly does dimension mean?"

The narrow definition of dimension has been mentioned earlier: every time an axis is added, there is another dimension. (Since "The Big Momma Possession" is about the world outlook, it has been asked before: How to apply the world outlook? Is to explain everything with a world view. How do you explain this narrow definition with a world view? The method is as follows: "For each additional coordinate axis", what level of problems are we talking about? The answer is "projection layer", because the projection layer focuses on examples. What is a projection layer? If we can go back to the projection layer, can we get a broad definition of dimension? )

Since "every extra coordinate axis" is a narrow definition, the broad definition should be: "every extra X, every extra dimension". The question now becomes: What is X?

Let me give the answer: X is the possibility of change. In other words, the broad definition of dimension is: the possibility of change.

For example, I added a brand-new change to the three-dimensional space. This time, without time, acceleration, chromaticity, temperature, men and women ... as long as there is the possibility of change, it will become four-dimensional

Since "dimension" is "possibility of change", what is change?

Speaking of this topic, two familiar words flashed through my mind, both related to the change of dimensions: the upper dimension and the lower dimension. There are some common expressions related to this: "This problem can only be solved by raising the dimension" and "If we attack them, we will attack them directly by lowering the dimension, and it is useless for them to try their best!"

So, what exactly do you mean by upgrading and reducing dimensions? Look at the picture:

There are two new variables in the graph: quantity and quality. In other words, dimensions can actually change in both quantitative and qualitative directions.

? Changes in the number of dimensions (expressed by "how many"). For example, from three dimensions to four dimensions, or even more dimensions; For example, if a question is not clearly stated, explain it from another angle. This "other angle" is the increase in the number of dimensions. (The previous part has already talked about the change of quantity, so I will skip the in-depth discussion here. )

? Variation of dimensional quality (quality is expressed by "height"). For example, "improving dimensions to solve problems", "reducing dimensions" and so on.

Usually, we mainly define "dimension upgrade" as: the quality of dimensions has improved (it would be better if the number of dimensions has decreased); We define "dimensionality reduction" as: the quality of dimensions has decreased (and the increase in the number of dimensions can better explain the dimensionality reduction in place).

Let's look at an upgrade case: for example, if you are selling products, consider "sales = customer unit price x sales volume", but always the customer unit price cannot be upgraded, and the sales volume cannot be upgraded. It seems that the sales volume just cannot be upgraded. At this time, you can upgrade the dimension and re-understand it from the perspective of "wealth = value x leverage", which may bring new possibilities. You see, in this example, the number of dimensions is still two-dimensional space, but the quality of dimensions has improved a lot.

The improvement of dimension quality is essentially to replace the original change with a change direction closer to reality and essence. The improvement of dimension quality greatly improves the interpretation efficiency of the whole problem.

Ok, that's all for today, and we'll talk about it tomorrow. Today's question is: What are the new understandings of this article? What method did you use to study this theoretical article?

At the beginning of planning, I wrote this paper to explain this system. However, it is very important to find the concept of "dimension". Without a clear introduction, many words that explain the system and world outlook cannot be accurately understood. So I simply gave up the original topic and began to write the definition of "dimension".

The topic of "dimension" is very advanced, and many points collide with each other. In the process of repeated collision and overthrow, I finished the fourth draft of the introduction article of Dimension, that is, this article and the follow-up article released tomorrow (it took me four times to make things clear, and I was stupid enough).