I am on a public library computer therefore I can only reply in English:
First, have you 看透了 Chinese culture yourself at all? Just look at how you commend the Chinese language here... A lengthy mess.
I don't think you understand western arts either having read some post of yours from the rather recent past. Take this post as an example, it is mostly anecdotes or stories about the composers, not their music. This is a very common style by authors who seem to understand some object that they are writing about but in reality not really so. Instead of talking about their works, just talk about their lives. I looked through the whole post only at the end met some comments on Beethoven's actual compositions, some are quite specific, but more are very vague.
而中文本身就缺少了二次抽象,所以没有发展出纯数学
I kind of understand what you mean here, but, my friend, it is more of your own imagination, typical of Chinese thinkers of these generations ... conclusions first, then look for faults in Chinese culture.
Dose Sanskrit lack 二次抽象? I heard that it is one of the most abstract languages in the world. Then has India produced 纯数学 and music of the kind that meet your criterions for them? What is your definition for 纯数学 by the way?
西方的音乐,古典的创作和数学非常像。
Foolish! I had some training in mathematics when I was in college. Any math applied in the arts (save architecture) is SIMPLE. What high math is needed in western classical music? Calculus? Analytic geometric? Group theory? or Statistics? .....unless you are writing an software to write music!
Then how is 古典的创作和数学非常像? The mathematicians should be very unhappy when they hear that.
By the way, Beethoven was very poor at math, while, unexpectedly, Van Gogh was very good at math when he was a school boy. Beethoven's lack of math talent didn't hinder his music, Van Gogh's math talent didn't help his painting.