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Monday, 16 February 2015

The Time of Language

Ode to The Early Bourbaki To Grothendieck

TANAKA Akio


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 overcme hard barriers before me. So the route had really facscinated 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 dreamed 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 endeavor 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 reseach.
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 langauge by mathematics despite my poor ability.
Sincere thanks for the pioneers letting us make the fascinating route of modern mathematics.

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

Tokyo
January 10, 2012
Sekinan Research Field of Language

Friday, 13 February 2015

Parting to our youth

To My Dear Friend KANEKO Yutaka

TANAKA Akio

We were always sitting at the right end of the classroom, where the seats were near the entrance from the corridor, so classmates entered the room with rattling noises. But we liked the seats rather satisfying. We were G class of the third year of high school, which class was all hoped to go universities of the mathematical or science fields.The seats were free to sit but almost determined by the personalities. The serious were sitting at the comparatively before and widows sites. Those seats were quiet and easy to concentrate. We were also serious to the learning but liked probably the worst seats that could not concentrate by the various noises for entering and out-going to the room. But we loved the seats.

Sometimes over our heads vain calculate-papers were being thrown to the can behind us. KANEKO Yutaka and I first met  at this class and became best friend. He probably hoped to go to chemistry and I was physics. He was very good at mathematics and I was ordinary at math. I sometimes asked him how to solve the hard quests of math. At that time he smiled to me and said, ” there’s any little paper? The problem can be written enough by such a little space.”

Over the our seats, papers were frequently flown to the end of the class where the trash can was set always fulled with the calculate-papers for math and writing of English memos. The members of the class were all eager to solve math quests for preparing to entrance examinations to the universities. At the result they threw the used papers over us towards the can. So around the can, the scraps were littered with. I was never tidy but I was the nearest one to the can, so I sometimes went to trash dump to clean the can.

After we graduated the high school,  he studied chemistry as planned at university. But I selected language study, not physics. I also liked  philosophical or linguistic fields for their long historical heritages. What I returned to the field related with physics was already over the age 30s. As a result my research object has been narrowed to language universals using mathematical writing or physical approach.

After half a century, he died by disease in his researching way, while I have learnt same theme on language using maths way not solving any quest from 1920s’ Linguistic Circle of Prague. Over my head still now vain calculate-papers are being thrown to the can behind us. If I ask him to help me for solving, he will say to me wanting tiny paper to write the simple answer with his dear smiling as ever.

Tokyo
22 May 2013
Sekinan Research Field of Language

14 February 2015 Revised and the title changed
SIL

Wednesday, 11 February 2015

A group of mathematician. Tokyo.1970 by NOGUCHI Hiroshi


Yesterday read over NOGUCHI Hiroshi’s A Group of Mathematicians, Tokyo, 1970. The book begins the first chapter from the seminar of Karl Menger (1902-1985)  at Wien in 1930s. The presentators were Heinrich Tietze and Herbert Seifert (1907-1996). There TERASAKA (pseudonym) from Japan heard them, that became friendly with Seifert after his presentation. Seifert spoke with an accent of Dresden.

Tietze spoke with the title ” On the embedding of n-dimensional distance space”. Seifelt’s theme at the seminar was the connection between geometry and algebra. Thus the book opens the curtain of topology’s development in the twentieth century. The second chapter describes the meeting at Asakusa, Tokyo in 1935where young mathematicians in Japan conversed the new mathematics trend in Europe mainly by NAKAMURA ( pseudonym) who went to Swiss to study algebraic topology from Heinz Hoph (1894-1971). The author NOGUCHI writes, ” Thus, the history of algebraic topology in Japan started at this night.”


The book has eight chapters and the last chapter describes “the third generation” young topologists emerged in 1960s. KOMATSU (pseudonym) remembered the past good days that opened the tiny  flower of homology, and the next all was destroyed by the second world war and now Japanese young mathematicians are studying under Sariban, Robion Kirby, Laurent Siebemann and John Milnor at Princeton in 1969.

The Complete Works of TANIYAMA Yutaka, Revised Edition, 1994


TANAKA Akio
                                   
The Complete Works of TANIYAMA Yutaka, Revised Edition, 1994 always shows me the youth of the post-war mathematics in Japan. At the same time It gave me the feeling of strong longing.

When A. Wiles and R. Taylor finally solved the Fermat's Last Theorem in 1994, TANIYAMA-SHIMURA Conjecture became famous overnight in Japan too. After the situation was settled a matter, I saw the feature articles on TANIYAMA in the journal, Mathematics Seminar at the bookstore nearby of my home.

My first impression was a longing desire to his high achievement to mathematics or studies in history. At those days I was at the midst of age 40s and did not accomplish anything on my field of language. Of course I did not desire any fame or special situation. I only hope from the bottom of my heart to propose the results that let assent to myself.

Nearly 20 years passed away since those days. Now there is any enviable thing to TANIYAMA or his colleague. Because I also discovered my aim and approach on my theme. It is absolutely same that I have not proposed anything to the learning. I only have the probably same aim that many surpassed people had or have. Merely I have not any genius to learning.

My true tiny happiness is what  I am still learning on my objects every day. It is only one that is language forever.
         
                                                                   
Tokyo
11 November 2012
Sekinan Research Field of Language

Tuesday, 10 February 2015

Complex Manifold Deformation Theory

Complex Manifold Deformation Theory

TANAKA Akio

Conjecture
A
Distance of Word
Reflection of Word
Uniqueness of Word Amplitude of Meaning Minimum
Time of Word
Orbit of Word

 Map between Words
2 Understandability of Language

Description

Description

TANAKA Akio

For language study, its theoretical  description is a very important role for understandability and clarity of the paper. Till my age 30s , I had never satisfied my way to study and write. Philosophical and philological methods have been felt somewhere ambiguous and unreliable to proceed sensintive research of language.
My great turn occurred at the relearning of mathematics, especially geometrical algebra. In the past 1970s, I was also one of the many influenced students from Bourbaki, that was the brightest star in the universe of minute and rigorous road to the destination. But my poor way was always unevenness and wide deep fog was surrounded in the vast field in front of mine. What at last I  arrived at the gate of confirmed style was the beginning of the 21st century. At that time I wrote several trial papers related with language universals but still never had been satisfied for their ambiguity and intensive styles. My next crux came at my study of new wave of algebraic geometry, complex manifold deformation at 2008. Its result became some papers named Complex Manifold Deformation Theory. This was the very fresh and clear way to study language for me.



Conjecture A
1. Distance of Word
2. Reflection of Word
3. Uniqueness of Word
4. Amplitude of Meaning Minimum
5. Time of Word
6. Orbit of Word
Conjecture B
1.  Map between Words
2.  Understandability of Language




Tokyo
15 August 2013
Sekinan Research Field of Language