Dear Y.,
Thank you for the long way on Saturday.
I'm really happy .
Let's get into today's main subject. About the changing times.
My Twitter is usually about 20-30 a week and 100-200 a month ,
It has changed a little since last year, and sometimes it has exceeded 1000 .
They are often papers that seem to be important to me, and are a bit different from mechanical access.
The access about language dimension introduced on twitter on December 24, 2017 is 3940 as of January 8th, and the note add edition version released on December 30th is 2441, which is the total. It is over 6300 .
This article is about how the situation can be expressed mathematically, assuming that dimensions are inherent in the language, and is probably not very relevant to the average person.
I know that the idea of dimension attracts a lot of people, but it wo n't extend to the average person until the mathematical examination when it is inherent in the language .
Articles similar to this have been posted on my site on a daily basis, but with little response.
The simplest example of language involvement is the Mobius strip .
The Fields Institute in Canada started following me around the spring of last year, which may have some influence, but Blogger's statistics show that it extends to Africa and South America .
Apparently, the mathematical expression of the ramblings of the dimension of language may have become of interest to some people in this society .
My view is that the 21st century is the century of language. One example is the visual language , such as the characters you see on your PC.
I wrote a little about the language and letters last spring.
A description of the historical situation of the letters in line with the decipherment of Greek letters also mentions the importance of the letters . This is from the summer of the year before last.
In Mobius strip, dimension has meaning only on the premise of the existence of time .
That is , it only makes sense when it moves in the same direction in time over time (orien ted ) .
The idea of time inherent in letters, rather than language, begins when I was in my twenties, in the early 1970s, when I read a dissertation on Wang Guowei , the unmistakable genius of modern China .
However, it took more than 30 years for me to write an extension of it because I needed an expression called mathematics .
Wang Guowei's dissertation states that the oracle bone script of the word Wataru indicates a situation in which a boat moves back and forth between the two banks of the river, from which the constant character has the meaning . It says that it will be.
In other words, the letters indicate the passage of time.
In the West, ideographs disappear historically quickly, so they had little to do with the sense of oriental characters like .
However, in recent years, visual elements such as visual characters represented by PCs, pictograms, LATEX, etc. have come out greatly.
It is also said that LATEX is regarded as one of the 20 greatest historical discoveries.
The "emergency exit" pictograms that have come to be used worldwide also express the temporal movement of " escape ."
Just by looking at some of these, the time inherent in language may have given some implications to some people, such as language research .
But philosophically speaking, it is not universal to me. For that , mathematics was absolutely necessary.
In my case, a full-fledged encounter with mathematics required the presence of the French mathematician group Bourbaki. After all it was the 1970s.
Bourbaki made a decisive change .
In parallel with this , I worked hard to pursue Kurto Godel's incompleteness theorem, which fundamentally questioned what the meaning of set theory and the consistency of theory, which had grown rapidly at that time, were.
In this direction, Gaisi Takeuti's dissertation, which he had a close relationship with Godel, was a good guide.
However, in set theory and foundations of mathematics, I felt that the mathematical expression of the language I think was not enough, although I was weak at the time.
I think it was probably after 1980 that mathematics evolved to the point where it could broadly and deeply .
The accumulation of the efforts of countless mathematicians has unknowingly provided great benefits that were probably unexpected .
I also followed the achievements of modern mathematics. Along the way, he reunited with Eiichi Chino and was taught the existence of the Linguistic Circle of Prague and one of them, Sergej Karcevskij.
This was my decisive turning point.
The days I talked to in California, a coffee shop on the second floor that made a rattling noise with Chino, were irreplaceable and valuable to me.
However, it took another 1980 to 20 years to express this direction in the direction suitable for oneself, that is, to express it as algebraic geometry .
It wasn't until the 2006 discussion by von Neumann algebra that my direction came to fruition as a mathematical expression .
Subsequent major papers will be written fairly precisely on some Zoho sites.
The big flow from 2003 to the present is outlined in the next essay .
And now I'm thinking about the geometry of the language.
Now that statistical iconographic analysis has come to be used in medicine, theoretical papers like .
But that's not my original intention, I'm just chasing my favorite subject .
Language universals is my lifelong goal.
It may be difficult to understand because I mentioned it in a hurry,
In conclusion, I feel that the theoretical and abstract paper, as I have written, has become a situation that some people will read in the last year or two .
The times may have come to feel that I need a little.
At the end of this email , I feel that it is important to continue research with a certain long-term perspective while dealing with the essential requirements for the time being.
I think it is important not to keep up with the times, but to follow your own free intentions and move forward .
I wanted to talk about that, but I was busy that day, so I decided to write an email .
Please do your best.
Thank you very much for everything the other day.
Please take care of yourself.
January 8
