Monday, 4 May 2020

Letter to Y. Toward geometrization of language 8 January 2018. Translated by Google translate 2020


Letter to Y.  Toward geometrization of language 

Dear Y.,
Thank you for the trip on Saturday.
We are also grateful to you for improving the PC settings. I can’t quite do it.
At that time, I talked a little, but I was halfway busy.
So I decided to write an email today. About the changes of the times.
My Twitter account is usually 20-30 per week and 100-200 per month, but there have
been some changes since last year, and sometimes I’m over 1000.
They are often papers that seem to be important to me, and are a bit different from mechanical access.
The access to language dimension that I introduced on twitter on December 24, 2017 last year is 3940 as of January 8th today, and the note add edition version issued on December 30th is 2441, totaling two. More than 6300.
This article is about how the situation can be expressed mathematically, assuming that dimensions are inherent in the language, and probably seems to have nothing to do with ordinary people.
It turns out that the notion of dimension attracts a lot of people, but it won’t extend to the average person until it is mathematically examined if it is implicit in the language.
I have published similar articles on my site on a daily basis, but they have had little response.
The simplest example of dimensionality in a language is the Mobius ring case.
Blogger statistics show that the range is Africa or It extends to South America.
Apparently, the mathematical expression of the indiscriminate things such as the dimension of language has come to be interested in some people in this society.
My view is that the 21st century is the century of language. That is also the case with visual languages, such as the letters you see on your PC.
I wrote about for-us-all / language and characters a little bit last spring.
A statement of the historical situation of the letters in the context of deciphering Greek letters also refers to the importance of the letters. This is from last summer.
Mobius ring, dimension has meaning only on the premise of the existence of time.
That is, it has meaning only when it moves in the same direction in the same direction as time (oriented).
The notion of time, rather than language, that is inherent in letters begins when I read a paper by the unquestionable genius of modern China, King Wei, in my twenties, in the early 1970s.
However, it took me more than 30 years because I needed a mathematical expression to write an extension of it.
Kingdom Wei’s dissertation states that the skeleton with the word Watari indicates the situation where a boat crosses both sides of the river. He stated that from that point on, the constant character would have the meaning of “always” a permanent time.
That is, the letters indicate the passage of time.
Western countries, ideographs disappear historically quickly, so what is our sense of oriental characters? It was almost unrelated.
However, in recent years, visual elements such as visual characters represented by PCs, pictograms, LATEX, etc. have come to the fore.
LATEX is also considered to be one of the 20 historic discoveries.
“emergency exit” pictograms, which have become popular worldwide, also express the temporal action 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, it’s not universal to me. For that, mathematics was absolutely necessary.
For me, a real encounter with mathematics required the presence of the French mathematician group Bourbaki. After all it was the 1970s.
Bourbaki brought a crucial change to algebra in the second half of the 20th century.
In parallel with this, the meaning of set theory that rapidly grew at that time and I sought after Kurt Gödel’s incompleteness theorem, which fundamentally asked what the consistency of theory was like.
Regarding this direction, Takeuchi’s discussion with Godel was a good guide.
However, in the set theory and the basic theory of mathematics, I felt that I couldn’t do the mathematical expression of the language I could think of, though it was due to my inconvenience at the time.
I think it was probably after 1980 that mathematics evolved to the extent that it could express the fields of humanities and social sciences rather than language rather broadly and deeply.
The accumulation of the efforts of countless mathematicians had come to the point of unexpectedly great benefit.
I also followed the achievements of modern mathematics. Along the way, I met Eiichi Chino in 1979 and was taught the existence of the Linguistic Circle of Prague and Sergej Karcevskij, who was at the center of it.
This was my decisive turning point.
days I talked with Chino in the second-floor coffee shop California that makes a rattling noise were precious and irreplaceable.
However, in order to express this direction in a direction suitable for oneself, that is, to express it as algebraic geometry, 1980 to 20 Needed about a year.
My direction came to fruition as a mathematical expression for the first time after the 2006 von Neumann algebra discussion.
major papers will be written fairly accurately on some Zoho sites.
big flow from 2003 to the present is outlined in the following essay. .
And now I’m thinking about language geometry.
Now that statistical image analysis has been used in medicine, theoretical papers like mine may have some real meaning.
But that’s not my original intention, I’m just chasing after what I like.
Language universals are my lifelong goals.
It may be difficult to understand because I mentioned it at the rush, but the
conclusion is , I feel that theoretical and abstract papers, such as the one I have written, have created a situation that some people have read in the past year or two.
Perhaps the times have come to feel that I need a little more.
At the end of this email, therefore, 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 to follow the times and follow the free-mindedness of one’s own way, in a super-era.
I wanted to talk about that, but I was busy on the day, so I got an email.
Please make good use of it.
Thank you so much for the other day.
Please take care of yourself.
Regards,
8 January 2018
TANAKA Akio
at

No comments:

Post a Comment

Subscribe to: Post Comments (Atom)