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Saturday, 27 July 2019

How is the time alive in language?

How is the time alive in language?

TANAKA Akio


1.
When one first hear the existence of time in language, he may doubt its certainty. But I have intuitively believe it since I learned the ancient Chinese inscription on bone ad tortoise shell (in Chinese called Jiaguwen). In my early 20s, I met with the book of Chinese modern linguists, WANG Guowei, this belief changed the conviction. His lifework book Guantangjilin is hard to read till now.  But some papers in it are always inspires me by his deep and vast insight to character, language and history of ancient China. He also wrote fine criticism on Chinese pre-modern poem Ci.The title is RenjianCihua. The book is one of my favourite books of Chinese literature. People sometimes say that he was the highest genius after Song Dynasty, 1,000 years.In 2003 I wrote a tiny paper hinted by WANG's paper. It was the first paper for me that I directly faced the time inherent in inscription using Jiaguwen's update linguistic results. The title is " On Time Property Inherent in Characters".
  1. On Time Property Inherent in Characters / 28 March 2003
     
2.
In summer 2003, I stayed at Hakuba, Nagano for a while for writing over the paper that was intended to present a symposium  at Nara in winter. The paper was taking up the structure of written language that was dealt with the relation between time and grammar. But I did not solve the question on with what shape language exists in the language world. What shape has language and at where space does language exist or float? The theme on space was hard to deal at that time. I only concentrated to the shape in space. At 28 August I was fatigued to think and went  for a stroll outside  the inn putting up. The place was at the mountain side of the Hakuba Range and there was only one convenience store, where I walked in the shop and saw one advertisement of electric pocket dictionary. I returned having this advert to the inn and read its sentences. At the very time I found the shape of language I sought was sphere that was inherited time in it, also having grammatical functions. The paper's title was named to " Quantum Theory for Language" by the shape of language. This was a really product of clear and fine atmosphere of Hakuba with a distant view of the North Alps of Japan.
  1.     Quantum Theory for Language / 15 January 2004
     
3.
From 2004 to 2008 I wrote some papers on inscription and language. But I was not satisfied inwardly for the style of intuitive approach to language. I wanted to write more simple and clear expression. For being realised of my wish, I definitely needed to use mathematical tools. I returned to my 20s days' reading of Bourbaki that was desperately difficult for may ability. I again gradually read mathematical books and journals for seeking useful source of my hope to converting to language study. A certain results that came to my papers with satisfaction was appeared in 2008 by the papers titled Complex Manifold Deformation Theory.
  1.          Complex Manifold Deformation Theory / 2008-2009
     
Above all, the first paper in this group, I first defined the concept, distance by complex manifold.
  1.          Distance of Word /  30 November 2008
     
The concept of distance was one of the most important themes on language, so I at early times wrote the intuitive paper, "Distance Theory".
  1.          Distance Theory / 5 May 2004
     
At the fifth paper of Complex Manifold Deformation Theory, I again challenged the hard theme of the time in language, titled to " Time of Word".
  1.       Time of Word / 1 January 2009
     
4.
The definition of space in which language exists is one hard target for me to write satisfactory. A fixed results came to me at the papers group titles Symplectic Language Theory in 2009.
  1.          Symplectic Language Theory / 2009
     
    In the group, a paper focused on mirror phase on language became one peak for my writing.
  1.          Homological Mirror Symmetry Conjecture by KONTSEVICH​ / 26 April 2009
     
5.
Related with the shape of language, quantization and discreteness on language was the urgent    themes for the further step of studying the total image of language I was pursuing. Floer Homology  Language was the one milestone for me to overcome to the next stage.
  1.           Floer Homology Language / 2009
     
In this group, the eighth paper was dealt with the quantization and discreteness of language.
  1.           Discreteness of Language / 19 July 2009
     
      6.
What situation does the time in language have? This question exists in my mind at the early days when I wrote the paper "On Time Property Inherent in Characters". The first step to solution was described at the paper " Prague Theory". The group of Prague Theory was written due to dedicate to Prague, The Linguistic Circle of Prague and Sergej Karcevskij with the memory of my teacher CHINO Eiichi.
  1.           Prague Theory / 2 October 2004
     
 In this paper, Chinese Character /kun/, that meaning is difficult in English, was used for the eternity of loop time. This loop time was also appeared in the paper " On Time Property Inherent in Characters". But Prague Theory shows more direct and compact by growing tree and its obstructive enclosing fence. This intuitive image was more clearly described at the paper " Word as Infinite Loop Time " at Infinite Loop Space Language in 2012.

  1.           Word as Infinite Loop Space / 6 December 2012
     
In this paper, time in language is clearly connected with dimension of algebraic group saying as the next. Word has dimension that belongs to algebraic K group.


7.
The relation between time and dimension was entered on a new phase at the learning of algebraic geometry, especially of arithmetic geometry. Arithmetic Geometry Language, abbreviated to AGL, was the starting papers for me to arithmetic method.
  1.           Arithmetic Geometry Language (AGL) / 2013
     
From these four papers, I concisely extracted the next three conjectures.
  1.           Dimension Decrease Conjecture
     
  2.           Synthesis Conjecture
     
  3.           Reversion Conjecture
     
At these conjectures, time inherent in language is in the basis of describing dimension, synthesis and reversion. The process of leading to the conjectures is over viewing the next.    

  1.       Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement / 19 November 2014
     
8.
Acknowledgement
Time inherent in language is a fantastic but as hard to pursue for me still now. I would examine this theme further more and more, probably till the end of my research life. Now all the thanks are going to The Linguistic Circle of Prague and especially its member Sergej Karcevskij, with my teacher CHINO Eiichi who taught me their precise information from his long study at Prague in 1960s.

9.
For CHINO Eiichi

9.1 Golden Prague                                   
C also died early, who had taught me Russian and linguistics. He loved
the old city that had the beautiful towers and bridges.
In C's many works there was the essay "The Moon of Carpathians". He wrote
that the conference was over, departed at Kiev, saw the moon and
churches over the Carpathian Mountains, impetuously went to the west,
passed Slovakia, Moravia, Bohemia, and at last reached "Golden Prague".
Prague, it was his youth itself.
Now I cannot hear his voice telling the various anecdotes on languages,
of which he freely had commanded. By the short heading, a newspaper
reported his death, naming as  "the genius of linguistics".

- 9 October 2014 -

9.2 Coffee shop named California
If C live, he also may ask me, "What  are you researching now?"
And I also will answer him as same as ever.
"I have pursued universals, never done facts, without repenting."
Oh C, if you live, will we also talk on language?
At the table facing each other under the low ceiling of the shop going up the steep stairs.
The name of the shop is California.
For the memory of our daily forgetful life,
its never miserable though poor all over,
I will write down our delight.

- 27 October 2014 -

10.
Ode to Kanda

"I need not more wander the book shop streets." / From Tale, Print, 2012

This tale was written by TANAKA Akio, pen-named LI Koh in autumn 2012 for remembering the poor but brilliant youth time of myself. This is one of my favourite phrases in this tale.
The book shop streets described in the tale is Kanda, Tokyo, which is located in the central Tokyo, where I frequently walked seeking the old Chinese classic books for the study from Oriental way of linguistics. In late 1960s, the streetcars were surely running in the old fashioned streets of Kanda, now perfectly changed to the subway streets.

From Print 2012, Chapter 10


もはや本屋街をさまようことはない。I need not more wander the book shop streets. 対象は私のうちにある。The object exists in my mind. 私はただこの運河をながめていればいい。I would better watch the canal. 遍歴は終わった。Wandering is over now.  たぶん永遠にマイスターにはなれないだろうが、みずからの小さな仕事場で、日が落ちるまで作業をすればいい。Perhaps I would not become meister  forever. In my narrow working place, I 'd better do my work till sunset. すると仕事場の窓辺を聖者が通って行く。 So out of the window by the working place,  the saint passes by. かつてそんなロシアの民話を読んだ。I ever read the Russian folk tale like that.

秋の日ぐれは早い。The Autumn evening is fast. 路面電車のヘッドランプがまぶしいくらいだ。The headlight of streetcar  is dazzling. 黄褐色の窓に少ない乗客が照らし出され、古本屋街の方へ消えて行った。In the yellow-lighten window the passengers are picked out by the light. The car disappeared  to the book streets. 駅の売店がにぎやかな橙の光に包まれている。The station shop is also lighted up by the yard's busy orange light.
  1. 40 years passed from I read WANG Guowei / 16 November 2013
     
  2. Prague in 1920s, The Linguistic Circle of Prague and Sergej Karcevskij's paper "Du dualisme asymetrique du signe linguistique" / Print, 2012
     
Tokyo
26 November 2014
SIL


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Friday, 26 July 2019

SRFL Note




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which was founded in 1986 at Tokyo for the study of language universals.

 

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SRFL Theory





SRFL Theory




SRFL Theory shows the update research result for language universals at Sekinan Library.
New theory, Quantum Group Language  is now preparing for the total language model of natural language's meaning.

 

which was founded in 1986 at Tokyo for the study of language universals.

 



Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique"



A language model is made for a solution of KARCEVSKIJ's paper.
<Proposition>
Manifold M has quadrant homology connection.
Cup product map

is null map.
If M is the upper situation, the fundamental group of M contains the free group of rank b1(M) as the partial group.
b1(M) = dimH1(M;R)
<Interpretation>
Language is given by manifold M.
Word is given by fundamental group of M.
Mobile part of word is given by partial group, the free group of rank b1(M).
The details of the proposition and the interpretation are described at the other papers of Notes for KARVESKIJ Sergej.

What is signal? Total Edition 21 November 2018-23 April 2019

What is signal? Total Edition 21 November 2018-23 April 2019

23/04/2019 19:33

 

23/04/2019 19:02

 

What is signal? 
The existence that generates language

TANAKA Akio
SRFL Paper
Tokyo

21 November - 23 April 2019

  
Original Title
  
What is signal? A mathematical model of nerve  
For father and mother 
 
   

-----------------------------------------------------------------------------------------------------------------------------
  

Preface

  
 
This short paper would finally write on signal through the relation between language and nerve, for which using mathematical method at the way.
This paper's one of kernels is energy which is naturally accepted at the side of verve, but at the side of language, it may be not accepted widely till now.
In this paper, I probably do not refer to the language's energy, that has been written several times in the papers before.
If necessary refer to the next essays.


----------------------------------------------------------------------------------------------------------------------------


 
 
 
Around 2008, I was thinking on energy in language related with distance in language. Distance is one of the kernel themes of my study of language universals in those days. In simply saying, distance is the result of movement and for movement there must inevitably needs energy. So I had thought that if language have distance, there must be energy or its alike in language that is supposed in mathematical models. But in my ability in 2008, I could not develop the deep and wide range of language from the theme, energy and distance. So Energy Distance Theory was still now unfinished.
 

 
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Vector Bundle Model

Vector Bundle Model

For SAEKI ShizutoTANAKA Akio

Pn is projective space.
P1 is projective line.
E is vector bundle over P1.
Theorem (Grothendieck)
Vector bundle E over projective line P1 is isomorphic withdirect sum of line bundles.
[Note 1]
Language is supposed to be projective space Pn.
Word is supposed to be projective line P1.
Meaning of word is supposed to be vector bundle E over projective line P1.
Under the upper suppositions, by theorem (Grothendieck) meaning is identified with direct sum of line bundles.
[Note 2]
X is algebraic manifold.
OX is module over X.
L is easy sheaf of OX.
Line bundle satisfies the following at L.
(i) Stalk Lμ at generating point is one-dimensional vector space over functional field k(X).
(ii) L is locally isomorphic with structural sheaf OX .
[Note 3]
(Replacement (i)) One-dimensional vector space over functional field k(X) is replaced to r-dimentional.
(Replacement (ii)) Locally structural sheaf OX is replaced to to .
Replacement (i) and (ii) is called vector bundle of rank r or locally free sheaf.
[Note 4]
Language universal model is expressed by .
[Reference]
Vector bundle model is a description of the next paper of Aurora Theory.
Dictoron and Aurora < Language is aurora dancing above us> For SAEKI Shizuto. Tokyo, September24, 2006.
Tokyo
January 6, 2012
Sekinan Research Field of Language, 2012
Added at January 10, 2012
Preface
The Time of Language

The Time of Language Ode to The Early Bourbaki To Grothendieck Note and Note 2 added

The Time of Language Ode to The Early Bourbaki To Grothendieck Note and Note 2 added

20/05/2019 17:44

The Time of Language
Ode to The Early Bourbaki To Grothendieck


 
In early 1970s, I had think of language from the side of mathematics, that level of mine is very low and primitive, moreover I never had any talent to mathematics.
But my eager to trying the approach was going to overcome hard barriers before me. So the route had really fascinated my mind for long time.

At that time I had read Chinese classics almost every day. WANG Guowei*, DUAN Yucai and WANG Yingzhi. They were giants on Chinese language historically and modernly.
On the other hand I had thought of language generally, not defined by Chinese.
But in front of the vast world of language, I had stood still lonely, not taking any method for approaching.
Mathematics was the only gleam of hope in the wasteland.

I never took the route of ordinary linguistics.
I really dreamt a dream that time.
There exists set theory before me.
Probably there was the influence of Bourbaki**, that several translations to Japanese, shared from Tokyo Tosho Publisher, were on the desk of mine.
My talent and endeavour were so low, so I had not any results at that time.
My desire was deep but my hand was so shallow.
The time passed by.

In 1979 the meeting again with CHINO Eiichi*** made me the chance to learn on language, the object was clear and direct.
Language universals by mathematics became the never-ending goal of the study hereafter.
Sergej Karcevskij**** gave me the courage to the research.
All the way to investigation were taught from CHINO, who was the genuine teacher on language.
In mathematics I took the route from geometry, especially by projection.
Now I stand at algebraic geometry.
Grothendieck is in the northernmost at the end of Bourbaki.

SAITO Takeshi said at the essay on Grothendieck***** that the object of mathematics for Bourbaki was the set of being attached by construction and the object of mathematics for Grothendieck was the object of category representing the presentable functor.
The time has come for describing****** on language by mathematics despite my poor ability.
Sincere thanks for the pioneers letting us make the fascinating route of modern mathematics.

1. *WANG Guowei
Encounter in life / A Letter /2005
Influenced paper / On Time Property Inherent in Characters / 2003 , Quantum Theory for Language / 2004
2. **Bourbaki
SAITO Takeshi. Bourbaki, Mathematics Seminar, vol.41 no.4 487. Nihonhyoronsha, Tokyo, 2002.
3.***CHINO Eiicji
First met in 1969, again in 1979. Fortuitous Meeting
4. ****Sergej Karcevskij
Note on Karcevskij's theme. Note for KARCEVSKIJ Sergej's "Dudualisme asymetrique du signe linguistique"
5. *****Grothendieck
SAITO Takeshi. Grothendieck, Mathematics Seminar, vol.49 no.5 584. Nihonhyoronsha, Tokyo, 2010.
6. ******describing
Note on Grothendieck's theorem. Vector Bundle Model

 
Tokyo
January 10, 2012
Sekinan Research Field of Language
 

[Note, 28 October 2014]
When I first learnt French in 1964, I was the second grade of high school. My aim to learning was to get the lowest readable situation for modern poems of French Symbolism represented by Arthur Rimbaud and Paul Verlaine. Afterwards in 1969 I knew the importance of Martinet's work at the linguistic class of university. Probably in the early 1970s, I bought Bourbaki's books at the old-book-shop at Kanda, Tokyo, when Bourbaki's fame reached to the poor-talented linguistic student like me. I was enchanted Bourbaki's works and I somehow would like to adopt their results to my linguistic study. But my mathematical level was too low to get near Bourbaki's world. From those days my wandering around mathematics and linguistics kept long long way like the Beatles song, The long and winding road. What I again met mathematics, especially algebraic algebra was already over the twentieth century. From 2003 I began to write papers being assisted with CHINO Eiichi's advice and Sergej Karcevskij's work. At that times Chinese Qing dynasty's vast linguistic works topically represented by WANG Guowei was also assisting my study. At the result my first satisfied paper, "On Time Property Inherent in Characters"1 was completed. The theme in my life, model making of  language universals was begun further later in 2008 at Zoho site 2 sekinanlogos 3. At Complex Manifold Deformation Theory 4 I started writing more clearer descriptive papers by mathematics especially according to algebraic geometry. And now I step up one more and entered in arithmetic geometry 5 for solving more difficult themes such as dimension, synthesis and fusion of meaning in word.
Refer to the next.
  1. On Time Property Inherent in Characters
  2. Zoho site
  3. sekinanlogos
  4. Complex Manifold Deformation Theory
  5. Arithmetic geometry 
 
[Note 2 2 May 2019]
5 years passed from I wrote Note at October 2014.
The situation for the research changed rather largely.
I and wife became older and I become 72 years old this summer while the both have illness.
We often go to the hospital for the treatment for what I often think that all the illness are probably on the nerves which make persistent flows in our body, which inevitably need energy for fluidity.
At these circumstances  I began to write a new paper titled What is signal? The existence that generates language,What is signal?, original title,   What is signal? A mathematical model of nerve. The text is the next.
https://srfl-theory.webnode.com/news/what-is-signal-total-edition-21-november-2018-23-april-2019/
So far I have thought of language at the point from language universals which are the most fantastic theme for me. But illness and its base nerve showed me the new site of language that is the real base of language. It was the signal which has energy and flows and hatch language in the human being.
Now I stand back at the manuscript written in 2003 at Hakba, Nagano, Japan titled Manuscript of Quantum Theory for Language. The text is the next.
https://srfl-paper.webnode.com/news/manuscript-of-quantum-theory-for-language-with-preface-note-and-note-2-2003-2018/
Quantum is the real kernel of my research, by which signal and language may be  unifiedly constructed for human being.

Tokyo
2 May 2019
Sekinan Library


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