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Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Tuesday, 25 November 2014

How is the time alive in language? / 26 November 2014

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".
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.
    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


   Above all, the first paper in this group, I first defined the concept, distance by complex manifold.
   The concept of distance was one of the most important themes on language, so I at early times wrote the intuitive paper, "Distance Theory".
   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".
    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.
    In the group, a paper focused on mirror phase on language became one peak for my writing.
     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.
     In this group, the eighth paper was dealt with the quantization and discreteness of language.
      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.
    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.
    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.

    From these four papers, I concisely extracted the next three conjectures.

   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.    

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

                                          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 -

                                         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. 

Tokyo / 26 November 2014 / SIL

Sunday, 9 November 2014

Another pass way to mathematics / 2 January 2013



In some 40 years ago, 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 the, 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 any more, 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 logic for its long history while the poets make poems that need severe rules of rhythm and meaning. But we should read and understand them according to our ability. 
That is all. It is my standpoint on mathematics and Chinese classics, or all of my life.

Sunday, 2 November 2014

Essay / 2 November 2014

Essay


Present Themes 
  1. Disposition of Language
  2. Distance of Word
  3. Flow of Language

CHINO, Karcevskij and Prague
  1. Half Farewell to the Linguistic Circle of Prague and Sergej Karcevskij
  2. I need not more wander the bookshop streets
  3. Prague in 1920s
  4. CHINO Eiichi and Golden Prague
  5. Coffee shop named California

Enchanted with language and mathematics
  1. Andre Martinet
  2. Charles Bally 
  3. Read Andre Weil 
  4. Bourbaki' ELEMENTS DE MATHEMATIUE Troisieme edition, 1964 
  5. The Time of Language Ode to The Early Bourbaki To Grothendieck  Note added 

Wandering between language and philosophy
1.

  1. For WITTGENSTEIN Revised / Position of Language / 10 December 2005 - 3 August 2012
  2. The Time of Wittgenstein /20 January 2012
  3. Citation from Ludwig Wittgenstein / 7 February 2012
  4. THE ROAD TO REALITY A Complete Guide to the Laws of the Universe, 2005 by Roger Penrose / 25 October 2012
2.
  1. The First Paper on Inherent Time in Word / 26 July 2014
  2. 40 years passed from I read WANG Guowei / 16 November 2013
  3. Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague / 23 October 2013 / With References
3.
  1. Substantiality Dedicated to SAPIR Edward / 27 February 2005
  2. Edward Sapir's Language, 1921 / 5 September 2014
  3. Macro Time and Micro Time / 24 July 2013
4.
  1. Roman Jakobson / 16 July 2012

Winding road to physics
When I was a student of high school, I hoped to learn physics at university. But from various reasons in fact I learnt language at university on the other still longing for physics.
After graduation I once worked as a high school teacher and eight years passing over I returned to university for investigating language study. On the way I again met CHINO Eiichi in 1979, from whom I ever learnt Russian in 1969. By his teaching I had distinct aim for my study on language, making clear description to others using mathematics being assisted with physical thinking or approach. Mathematics was always set in my mind but my talent was not overtaken to its hardness. But aiming clear description to every situation I decided to learn again or thrice to make a new stage where I decided to come back to my starting point of youth being attracted to physics.
1.

  1. Now I am Enough Old for Remembering the Past / 27 September 2012
2.
  1. To my dear friend, KANEKO Yutaka / 22 May 2013
  2. Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague / 23 October 2013 
  3. Perhaps Return to Physics /16 August 2014
3.
  1. Distance Theory Algebraically Supplemented / Brane Simplified Model / Bend /17 October 2007
  2. Distance Theory Algebraically Supplemented / Brane Simplified Model / Distance / 26 October 2007 
4.
  1. Substantiality Dedicated to SAPIR Edward / 27 February 2005
  2. Language, Amalgamation of Mathematics and Physics / 15 April 2014
5. 
  1. The Complete Works of TANIYAMA Yutaka,1994 / 11 November 2012
  2. Description / 15 August 2013

Tokyo
2 November 2014

Tuesday, 28 October 2014

A trace of student who has been enchanted with language and mathematics / 28 October 2014

A trace of student who has been enchanted with language and mathematics

TANAKA Akio


What have you thought being enchanted with mathematics?
It is hope that is given to every person. For me It is mathematics. It can describe almost every thing on language if I do not give up and pursue on. (This part added at 16 November 2014)

Preface

  1.  Symbolism of Japan, Haiku / 4 July 2012  This simple form of poem seems somewhat giving  influence of my thinking style up to now.
  2.  Now I am Enough Old for Remembering the Past / 27 September 2012
  3. Nikolai Ostrovskij’s novel, How the Steel Was Tempered 1936 / 20 June 2013

1.
  1. Andre Martinet / 16 July 2012

Tokyo
28 October 2014