Monday, 17 February 2025

Another pass way to mathematics 2013 To especially the younger readers yeaning for mathematics

 


 Saturday, 27 July 2013

To especially the younger readers yeaning for mathematics

In some 40 years I had concerned with mathematics to which I only had read several books as if it is  the books of arts, for example, the verses of Chinese classics that are always obscure to understand by my Chinese ability. 
On the Tang Dynasty’s famous poet, DU fu’s work I had not clearly understood, probably till now. But the works are all pleasant in its own way. 
As like them mathematics I had read some books and papers. Definitely  I could not make DU Fu-like work. But I liked DU Fu so much. And I also cannot understand mathematics anymore, but also like it. If there be not valuation that is usual done at school, more people maybe like it as same as they read poems putted before them. 
Mathematicians are put to study stern logics for its long history while the poets make poems that need severe rules of rhythm and meaning. That is all, for my standpoint on mathematics or Chinese classics or my life.

TANAKA Akio
Tokyo
17 February 2025
Reprint 
Sekinan Library

LETTER TO SEBASTIAN 7 JUNE 2021. PPS ADDED ON EDWARD SAPIR 15 JUNE 2021

 


Letter to Sebastian


Dear Sebastian,

Thanks a lot for your likes to my blogging.

I think that my papers and essays are of very narrow fields and themes, so I feel pleasant for your likes many times.

From last year Autumn to April this year, I kept on writing Essay on a researcher of French literature who died at 37 in 1976. I learnt French from him at university.

The days are 1970s and we were all young and eager to study towards future.

But everybody was in the confusion at those days after disturbance at universities.

I am also in the same situation.

I hoped to study linguistics but never found its way adequate to me . I only learnt several languages, Chinese, Korean, Russian, French and so forth.

At last my object and its way to learn were found in the end of the 20th century.

It was really a long and winding road as the Beatles sang at those days.

All were dear for me, all were thankful to the pioneers of language and mathematics.


Yours sincerely,


T.A.
ensila2

Tokyo
7 June 2021



PS

One of pioneers of language is CHINO Eiichi 1932-2002, who studied Czech language at Czech and became authority on Old Slavic language. I learnt Russian language and the Linguistic Circle of Prague from him.

I ever wrote several essays on his memory.

Dedicated to CHINO Eiichi

Aim/Aim again
Aim 2
CHINO Eiichi and Golden Prague
Coffee shop named California
Fortuitous Meeting What CHINO Eiichi Taught Me in the Class of Linguistics
The Days of Distance  From Distance to Pseudo-Kobayashi Distance
Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague
Linguistic Circle of Prague
Mirror Theory
My heimat of Learning, the Linguistic Circle of Prague
Prague in 1920s
Prague, Karcevskij and CHINO Reference added
Under the Dim Light


Tokyo
14 June 2021
ensila2


PPS

Dear Sebastian,

The relation between language and time is at first given to me from Edward Sapir’s Language 1921.

Sapir’s concept drift is still very important for me.

For more details, refer to the following paper.

Edward Sapir, Language, 1921  Revised

Edward Sapir’s Language, 1921 showed me the dynamism of language proposing the concept, drift.

Drift shows us the macro phase of natural language and I was hinted by Sapir’s this concept and proposed the micro phase of natural language. The paper ”Quantum Theory for Language” 2003 is my first total proposal paper describing the natural language’s model.


Reference

Substatiality Dedicated SAPIR Edward / 27 February 2005


Tokyo
5 September 2014
Sekinan Research Field of Language 


[Additional Explanation]

17 November 2019


SRFL Paper

Edward Sapir’s LANGUAGE AN INTRODUCTION TO THE STUDY OF SPEECH 1921 gave me a moment for study in 1980s while I was roaming about the darkness of not- getting any aim to study on language. I ever wrote a short paper being influenced in 2005 and after also wrote a memo on his book in 2014.Substantiality / 2005

Edward Sapir, Language, 1921 / 2014A moment came from his famous concept drift. At the near-end Chapter 7 Sapir wrote “the three major drifts“, that were the next .“The drift toward the abolition of most case distinctions“
“the correlative drift toward position as an accompanied“
“the drift toward the invariable word“

This “the three major drifts” are all apparently seen in Chinese, especially in the classical written language. At my age 20s and 30s I continuously had read Qing dynasty’s classical linguistic books and papers. WANG Guowei, ZHANG Binglin, DUAN Yucai, WANG Yinzhi were the most reliable works for me.

Read more: https://srfl-paper.webnode.com/news/edward-sapir-gave-me-a-moment-to-study-language-universals-together-with-sergej-karcevskij/

This paper is unfinished.

Read more: https://srfl-paper.webnode.com/news/edward-sapir-language-1921-revised/


Papers written on Edward Sapir are listed up at the next.


From Edward Sapir’s theme  3rd Edition

  1. Warp Theory Dedicated to SAPIR Edward 2004
  2. Substantiality Dedicated to SAPIR Edward 2005
  3. Changeability To SAPIR and KARCEVSKIJ  2005
  4. Language and Spacetime Shift of Time From SAPIR Edward to KAWAMATA Yujiro 2007
  5. Edward Sapir, Language, 1921  2014
  6. Flow of Language, Heritage of WANG Guowei and Edward Sapir 2014
  7. Pioneer of language study at Gist of Sekinan Study 2015
  8. Edward Sapir gave me a moment to study language universals together with Sergej Karcevskij 2017
  9. Edward Sapir, Language, 1921 Revised 2019

Tokyo

18 October 2019

SRFL Paper

Read more: https://srfl-paper.webnode.com/news/from-edward-sapirs-theme-3rd-edition/



Tokyo
15 June 2021
ensila2

Papers written on Edward Sapir are listed up at the next. 2019


From Edward Sapir’s theme  3rd Edition

  1. Warp Theory Dedicated to SAPIR Edward 2004
  2. Substantiality Dedicated to SAPIR Edward 2005
  3. Changeability To SAPIR and KARCEVSKIJ  2005
  4. Language and Spacetime Shift of Time From SAPIR Edward to KAWAMATA Yujiro 2007
  5. Edward Sapir, Language, 1921  2014
  6. Flow of Language, Heritage of WANG Guowei and Edward Sapir 2014
  7. Pioneer of language study at Gist of Sekinan Study 2015
  8. Edward Sapir gave me a moment to study language universals together with Sergej Karcevskij 2017
  9. Edward Sapir, Language, 1921 Revised 2019


Tokyo
18 October 2019
SRFL Paper


Read more: https://srfl-paper.webnode.com/news/from-edward-sapirs-theme-3rd-edition/

Letter to O. again. When I could not find any object at the campus while I ruminated KIYOOKA's stanza at the before graduation, spring 1971

 

Letter to O. again.
When I could not find any object at the campus while I ruminated KIYOOKA's stanza at the before graduation, spring 1971


Letter to O. again


Dear O.

From TANAKA, again send a letter.
Thanks a lot for your kind letter although you are in every day busy work.
I had thought again sending a letter to you but I could not, for year-end thorough cleaning of my little house.

The fact is I uploaded the letter to you on my Blogger SRFL News, removing your private part.
This blog is still now ranked in the third position.

My blog is written by English so the readers are almost foreigners. But this blog is written in Japanese as same as the real letter to you. Your sincere thinking of old books may give the readers with agreement, who love the old books like you.

Blog's URL is the next.
 https://srflnews.blogspot.jp/2017/12/letter-to-o.html

In your letter, you wrote that you would read the books comfortably not selling the old books of your work. I have also felt the same feeling so I bought  Development of the modern poems written by ANDO Tsuguo who was the fine teacher of literature at the university and I once went to his home thinking to hear his intimate voice on poem and literature. He was one of the most typical poet and critic in the present age of Japan.

And now I would want to read KIYOOKA Takayuki's collected poems, that was ever read in my youth.

In autumn 1970 I was the senior of university, when the next spring I would graduate, I met with the thick French binding KIYOOKA's collected poems at the well drop-in bookshop of Hachioji, Tokyo. At that time I could not yet find my whole life object of learning.

In his book, I read a long poem titled "at the campus of university" in which he wrote that he meets with the whole life object of learning as he meets with his beloved person in his life.

The next spring 1971 I graduated the university, when I could not find any object at the campus while I ruminated KIYOOKA's stanza.

What I really met with my whole life object was already entered in the 21 century at my age 56 in 2003 after much trial and error. It was language universals that was ever taught from CHINO Eiichi who was the real life time teacher of mine and the successor of the Linguistic Circle of Prague, who spent 7 year study at Prague.

https://srfl-essay.webnode.com/news/from-distance-to-pseudo-kobayashi-distance/

Sergej Karcevskij gave me the great  hint of approach to language universals through the famous paper titled "Du Dualisme asymétrique du signe linguistique" 1929.

In 2003 I wrote a paper titled " Quantum Theory for Language" after some trial papers, " On Time Property Inherent in Characters", " Manuscript of Quantum Theory for Language" .

In 2004 I wrote two attached papers, " Distance Theory" and "Reversion Theory".

Monday, 10 February 2025

Language and I 2017

 

 

Language and I




Sekinan Library has researched on language from 1986 and successively at SRFL from 2003.
Papers and essays that have been  written at Sekinan Library and SRFL Sekinan Research Field of Language 
are shown and searched at SRFL Essay and SRFL Paper.
Sekinan Library's main theme is now at language universals that has been a hard target and researched since 1920s at Linguistic Circle of Prague, but the theme had been always put aside from the centre of the study.
In Japan. on Prague School CHINO Eiichi probably first introduced systematically through his direct study experience at Prague between 1958 and 1964.

I first met with him in 1969 at Tokyo, from whom received Russian language lesson at the beginner's small class.
And after some 10 years I again met him in 1979 at his lecture on structural linguistics, to which I listen till till March 1986 when I get apart from the university.

In 1986 I also started to study my own object on language, in  which the main theme  was language universals by mathematical description, surging from Nicolas Bourbaki, that were already applied to wide and deep approach even at human studies at that time.

For me algebraic geometry was the great aid to deepen the theme, to which from 1920s many researchers have recognised one of the most important but hard to operate with clear description at the field of philology.

In 2003 I narrowly wrote up the trial paper on language's characters, at that time not for total language, but I got the steady way to approach the hard target of language's basis mainly on meaning, through which I faintly could see the final target, language universals.


Tokyo
26 June 2017

Sekinan Library

Hyperbolic Language. Connection of Words 2012

 


Connection of Words



1.
C is complex plane.
 is unit disk which centre is the origin of C.
z, w are the two points of  .
Hyperbolic distance  between z and w are defined by the next. ,  .
2.
M is complex manifold.
x, y are arbitrary points of M.
fv is finite sequence of regular curve.
Point zv is  .
 ,  .
 .
{  } is called regular chain.
Kobayashi pseudodistance dM is defined by the next.

 .
3.
[Interpretation on 2.]
 := Meaning minimum of word.
dM := Distance of word.
M:= Word.
4.
[Definition]
When dM becomes distance function, M is called Kobayashi hyperbolic.
When dM becomes complete distance, M is called complete Kobayashi hyperbolic.
5.
When M =  is satisfied at dM , dM is equal to Poincaré distance.
6.
X is complex manifold.
M is contained in X as relative compact.

7.
[Definition]
What embedding  is hyperbolic embedding is defined by the next.
M is Kobayashi hyperbolic.
Arbitrary boundary points  .
 .
 .
8.
[Theorem, Kwack 1969]
When M is hyperbolicly embedding in X,
What arbitrary regular map  \{0}  is regularly connected to  .
9.
[Interpretation on 6,7,8,9]
X:= Language.
M:= Word.
:= Distance of word.
:= Connection of words.
10.
[Conjecture, Kobayashi]
(i) If d is  , degree d's general hypersurface X of  is Kobayashi hyperbolic.
(ii)If d is  ,  \  is hyperbolicly embedded in  .
11.
[Interpretation on 10.]X:= Language.
d:= Hierarchy of language.


Tokyo
February 3, 2012
At the Last Wintry Day of Classical Calendar in Japan
Sekinan Research Field of Language

Imaginary Language From Hyperbolic Space Language 2011

 


 Imaginary Language

Hyperbolic Space Language
TANAKA Akio

September 5, 2011

[Preparation]

3 dimensional hyperbolic space H3

Spherical surface at infinity Sx

Ideal simplex that has vertexes on Sx Î£

Internal angles of triangle that is projected to plane z = 0

Internal angles of ideal simplex Î±, β,γ

Internal angles except Î±, β,γ α1, β1,γ1

Volume of ideal simplex V

<Theorem>
V (Σ) = Î›(α) +Λ(β)+Λ(γ)

[Interpretation]
Language model is expressed by V (Σ).

Word is expressed by Î£.


© 2011 by The Sekinan Research Field of Language