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Language, Amalgamation of Mathematics and Physics 2014

 

Language, Amalgamation of Mathematics and Physics 




TANAKA Akio
               
                          
Language will become the urgent agenda of this century. Language will be recognised as the amalgamation of mathematics and physics. Because language is mathematically designed physical transmission system in human being. This transmission is finite and compact within a human body  but infinite and eternal connected with the outer worlds in the universe.
[References]
  1. Relation between mathematics and physics  Operad Meaning Theory. From Cell to Operad. 24 March 2013. ifbetruezoho
  2. finite and compact  Simplicial Space language. Composition of Word. 20 January 2013. ifbetruezoho
  3. Infinite and eternal Infinite Loop Space language. Word as Infinite Loop Space. 6 December 2012. sekinanmodel 

Tokyo
15 April 2014
Sekinan Research Field of Language

Glitter of youth through philosophy and mathematics in 1970s / 2015

 

Glitter of youth through philosophy and mathematics in 1970s




TANAKA Akio

In 1970s at Tokyo or in my age 20s there surely exists glitter of youth in my life, now I remember.
In those days, in Japan many fabulous magazines were successively published. Episteme,Toshi(City)、Chugoku(China) and the likes. Especially I loved reading Episteme which had printed many philosophical or philological articles as the form of special issues concentrated important philosopher, thinker and writer. The chief editor of Episteme was NAKANO Mikitaka(1943-2007), probably one of the best editors in the latter half of the 20th century in Japan.  The most impressive number was Ludwig Wittgenstein(1889-1951), probably in 1977. Also influenced from the issue of Kurt Gödel(1906-1978)who gave me the possibility of set theory.
In my life, Wittgenstein gave the big influence for thinking and writing style, never entering or approaching his essential philosophical themes.Aftermillennium year when I started the regular writing on language universals, my writing style was resembling in his Tractatus Logico-Philosophicus. My paper written in 2003, Quantum Theory for Language shows a very imitative style to him. This tendency kept on for some time till I changed to adopt algebraic method for more clear description to the themes.
1970s was a relatively calm times after those university’s revolution in the late 1960s in which I also compellingly rolled in. In those days I almost had been wandering between library and old book shops aiming my life-time true themes cowardly avoiding the turmoils of university and towns. Blaise Pascal(1623-1662)’s Pansees was my favourite one. One day at Kanda’s Taiwan chinese book shop Kaifu Shoten, I bought WANG Guowei(1877-1927)’s Guantangjilin that opened the new frontier for classical Chinese philology mainly streamed by “Small Study”, traditional exegetics in China. Influenced WANG Guowei I wrote a paper titled On Time Property Inherent in Characters, 2003 by which I began the latter start of language study.
In 1970s, I had cherished a dream in which I wanted to use mathematical description and get the essential of language. But I had not any ability to proceed the study for it while I read at random several mathematical books. One day I found and bought the amount Nicolas Bourbaki(1935-)’s text books at old book shop in Kanda, Tokyo. They were hard to keep reading for my talent in those days. After all, the books were put aside the desk. The remaining in my mind was adoration to Bourbaki and their brilliant achievement. My return to Bourbaki was long after in 1990s when I again tried the pursuit of language having a clear vision to study language universals according to the Linguistic Circle of Prague, especially aiming to resolve the supposition presented by Sergej Karcevskij(1884-1955).
Turning round the past days, my way was always narrow and winding road. But it keeps till now not breaking off in any situations. The way was finely glittering in my youth days despite under the cloudy sky. Probably I have kept happily walking till now being assisted by many people especially at the field of language, mathematics and relevant studies.
At random now I remember the dear names from whom I  never cannot hear their voices. HASEGAWA Hiroshi, CHEN Donghai Chinese languageKAJIMURA Hideki, CHO Shokichi Korean languageNatary Muravijowa Russian languageONO Shinobu Chinese literatureMIIYAZAKI Kenzo, FURUTA Hiromu, KONDO Tadayoshi Japanese literatureANDO Tsuguo French poemSAEKI Shoichi HaikuIKEDA Hiroshi Japanese classical dramaSAITO Kohei sculptureYAMAGISHI Tokuhei bibliographyNISHI Junzo Chinese philosophyKAWASAKI Tsuneyuki BuddhismCHINO Eiichi Russian language, the Linguistic Circle of Prague. At last dear friend of high school days KANEKO Yutakmathematics and our youth.

Tokyo
6 March 2015
Sekinan Library

For WITTGENSTEIN Ludwig Revised Position of Language 2005-2014

 

For WITTGENSTEIN Ludwig Revised



Position of Language


TANAKA Akio
                          
1  Quantization 1  is a cliff for consideration of language.
2 Mathematical interpretation of quantized language is now a first step to the theoretical ascent.
3 If there is not mathematics, next conjectures are impossible.
(i) Difference between word and sentence--- Commutative and noncommutative ring 
(ii) Continuation from word to sentence--- Tomita’s fundamental theorem 
(iii) Word’s finiteness and sentence’s infinity--- Property infinite  and  purely infinite 
(iv) Cyclic  structure of word’s meaning--- Infinite cyclic group 
4  Meaning minimum 2 ,  mirror language 3  and  mirror symmetry 4  are inevitable approach to the study of language especially for  language universals 5 .
5 Symplectic Language Theory, Floer Homology Language and Arithmetic Geometry Language are adopted as the model theory   for natural language in the recent.
6 Hereinafter the model theory will be entered to the new concept .  The Model  of Language Universals 6   will be shown by the description of mathematics .

[References]
1 .  Quantized Language

Quantization of Language /Floer Homology Language 
2 .  Meaning minimum
Structure of Meaning / Symplectic Language Theory 
3 .  Mirror language
Mirror Symmetry on Rational Curve / Symplectic Language Theory 
4 .  Mirror symmetry
Homology Mirror Symmetry Conjecture by KONTSEVICH / Symplectic Language Theory 
5 .  Language universals
Generating Function / Symplectic Language Theory 
6. Models of  Language Universals
Language Universal Models  

Tokyo December 10, 2005
Tokyo November 27, 2008 Revised
Tokyo March 24, 2009 Revised
Tokyo June 27, 2009 Revised
Tokyo February 28, 2011 Revised

Tokyo August 3, 2012 Revised
Tokyo December 8, 2014 Reprinted

SIL

Winding road to physics, Revised version 2016

 

​Winding road to physics, Revised version ​


​​

TANAKA Akio


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 I returned to university for investigating language study further more. On the way I again met CHINO Eiichi in 1979, from whom I ever learnt Russian in 1969. By his teaching I could have the distinct aim for my study, that was to make clear description to others, not using philosophical terms, but taking mathematical method being also assisted with physical thinking or approach. Mathematics was always set in my mind long before but my talent was not overtaken to its hardness. But aiming clear description I began to learn again or thrice to make a new stage where I had decided to come back someday. It was the very starting point of youth being strongly attracted by physics. 
Fore more details refer to the next.


1. Remembrance2. Physics3. Model4. Language5. Mathematics

Tokyo
16 January 2015
SIL

Tokyo
8 February 2016
SRFL Collection

Thanks to physics through which I ever dreamt in my future 2016

 

​Thanks to physics through which I ever dreamt in my future



TANAKA Akio

In the days of high school, I deeply dreamt that someday physics would perfectly write over this world's phenomena by the clearest descriptions. So I had longed for studying physics in the future. But I selected language's diverse and wide field at the university, from where returning to the clear description like mathematics needed long and winding road for me. Now in my mind language and physics/mathematics are happily living together for constructing the world's main frame. I wonder why I took so much time to reach here. Long time ago, at least the days I strongly influences by Pascal , philosophy and mathematics were both sides of areas for solving the world's hard problems. It is appropriate that the problems should be solved using all the tools from all the areas, should not be partitioned any artificial walls. From now on, philosophy so far may be parcially solved by mathematics and mathematics might open to the door of complexed phenomena in the world never being written clearly. Now they are suerly solved one by one by the researchers and we feel the solutions like those are becoming common sense now. Probably only I reached here being delayed. But at last I am now situated in a tranquil field. Thanks so many pioneers who had cultivated difficut problem to the easier states for applying to the different fields. Especially to mathematicians. Also to physicians through whose worlds I ever dreamt in my future.

References:
  1. Substantiality Dedicated to SAPIR Edward / 27 February 2005
  2. To my dear friend, KANEKO Yutaka / 22 May 2013
  3. Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague / 23 October 2013 
  4. Language, Amalgamation of Mathematics and Physics / 15 April 2014
  5. Perhaps Return to Physics /16 August 2014
  6. Winding road to physics / 10 April 2015

Tokyo
24 April 2016
SRFL Note

Perhaps Return to Physics 2014-2015

 

Perhaps Return to Physics




​TANAKA Akio


Recently my situation for language research has changed rather drastically. 
I have loved mathematics ever since I understood that mathematics was the only fantastic way for solving the problems of the nature through absolute clear description.

When I was at the third grade of the high school, I remained in the class room for solving the swing state of a pendulum movement. It was the simple differential equation. But at that time I realised that one short equation contained the whole universe of a tiny pendulum. it was a real meeting with the mathematics and the our world.
At high school, I thought that the most fantastic way of life was in physics, especially in theoretical physics.  

In the autumn 1965, the Nobel Prize in physics was awarded to TOMONAGA Shin-ichiro. In the next morning of announcement, at our mathematics-science class was full of the prize about his award.
In those days I already  determined my university's speciality to theoretical physics. TOMONAGA's award was the splendid delight for me and the other science- course class mates.
But various reasons led me to philology at the university life.

Since then nearly half a century passed by. My study on language was dimmed in the vast historical heritage of linguistics that had surely shown the many results for language. But my mind was not fine on my road up to that time. My object  gradually became to the one that was clear and understandable whoever desire to participate to talk with language. At the result after long winding road  I reached at the concrete place for study. It was the description by mathematics. It was the days of my mid 30s in 1980s. 

From those days some 20 years passed by. I became at 50s. I had written the short papers  little by little. Mathematics was really free to approach. I freely thought and imagined on language's essential parts. Several models were made for the situation of language's particular phases. But I recognised that mathematics starts at the some axioms and theorems and reached  a curtain high place' situation, which road is absolutely strict and exact and there is perfectly nothing related with real our world's phenomena, in my part on natural language. 

So recently I began to think that no relation with  models and natural phenomena on language was easily overcome by adopting the physical method using mathematics' various results. perhaps I return to physics which was my favourite in the high school days. Physics connects world and model freely. All the explanations are approximate values for world' phenomena. At this place I can freely adopt the models not thinking the theoretical consistency. 

Now I am standing  at the physical based place that was dreamt in my high school days.

References
1. Language, amalgamation of mathematics and physics / 13 May 2013     
2. True and False / Hierarchy of Language / July 25 – July 27, 2006                                                     
3. True-false problem of the Crete / 22 July 2013
4. Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague / 23 October 2013 

Tokyo
16 August 2014
Sekinan Research Field of Language

Reference added
2 September 2014
Writing Style of the Papers in 2013 / 10 August 2014
10 February 2015
Winding road to physics / 16 January 2015

Language, Amalgamation of Mathematics and Physics 2014

 

Language, Amalgamation of Mathematics and Physics 



TANAKA Akio
               
                          
Language will become the urgent agenda of this century. Language will be recognised as the amalgamation of mathematics and physics. Because language is mathematically designed physical transmission system in human being. This transmission is finite and compact within a human body  but infinite and eternal connected with the outer worlds in the universe.
[References]
  1. Relation between mathematics and physics  Operad Meaning Theory. From Cell to Operad. 24 March 2013. ifbetruezoho
  2. finite and compact  Simplicial Space language. Composition of Word. 20 January 2013. ifbetruezoho
  3. Infinite and eternal Infinite Loop Space language. Word as Infinite Loop Space. 6 December 2012. sekinanmodel 

Tokyo
15 April 2014
Sekinan Research Field of Language