To my dear friend, KANEKO Yutaka / 22 May 2013

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 the 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. Serious were sitting at the comparatively before widows sites. The seats were silent and easy to concentrate. We were also serious to the learning but liked the most bad seats that could not concentrate by the various noises for entering and out-going. Sometimes the 

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, frequently flew to the end of the class where the trash can was set always filled with the calculate-papers for math and writing of English. The members of the class all were eager to solve math quests for preparing to entrance examinations to the universities. At the result they threw the used papers over us to 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 year 30s. My research object was narrowed to language universals using mathematical writing or physical approach.   

After half a century, he died by disease in his researching way. I have learnt same theme on language using maths way not solving any quest from 1920s' Linguistic Circle of Prague. I dream that 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 answer concisely with his dear smiling as ever.

References
1. Language, amalgamation of mathematics and physics / 13 May 2013         
2. Clifford Algebra A trial for amalgamation of mathematics and physics / 20 April 2014
3. Reversion Conjecture Revised /1 May 2014

                                                                  Tokyo
                                                 22 May 2013 Text written
                                             20 April 2014 Reference added

                                             8 August 2014 Reference added

                                        Sekinan Research Field of Language

The Complete Works of TANIYAMA Yutaka / 11 November 2012

The Complete Works of TANIYAMA Yutaka

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, probably forever. 

               

               
 Zelkova trees bathed in the gentle Autumn sunshine
             
                  Tokyo                  
11 November 2012
Sekinan Research Field of Language

Roman Jakobson / 16 July 2012

Roman Jakobson 

TANAKA Akio 




                                        

THE SOUND SHAPE OF LANGUAGE by Roman Jakobson & Linda Waugh, 1979 is one of put-aside-desk book for the study. The authors wrote the Preface to The Japanese Edition, 1980 that a matter of primary concern for them was the basic opposition between form and meaning, furthermore there were definite difference and intimate bonding between this related two essential phenomena.
For turning to myself, I already determined the main target on meaning, and sound was put aside, while Jakobson's book  was referred time to time. It  was great teacher for me.
On relation with Roman Jakobson, refer to the next.

Cell Theory, 2007     
Reversion Analysis Theory, 2008
Reversion Analysis Theory , 2008
Holomorphic Meaning Theory, 2008Holomorphic Meaning Theory 2, 2008

Tokyo
16 July 2012
Sekinan Research Field of Language 

Citation from Ludwig Wittgenstein / 7 February 2012

Citation from Ludwig Wittgenstein
TRACTATUS LOGICO-PHILOSOPHICUS Translated by C. K. Ogden
Dover edition

 Text is lined up according to the order of citation at the essay, The Time of Wittgenstein  

                                    
6.521
The solution of the problem of life is seen in the vanishing of this problem.
 (Is not this the reason why men to whom after long doubting the sense of life became clear, could not then say wherein this sense consisted?)

6.432
 How the world is, is completely indifferent for what is higher. God does not reveal himself in the world.

6.35
Although the spots in our picture are geometrical figures, geometry can evidently nothing about their actual form and position. But the network is purely geometrical, and all its properties can be given a priori.
 Laws, like the law of causation, etc., treat of the network and not of what the network describes.

6.54
 My propositions are elucidatory in this way: he who understands me finally recognizes them as senseless, when he has climbed out through them, on them, over them. (He must so to speak throw away the ladder, after he has climbed up on it.)
 He must surmount these propositions; then he sees the world rightly.

                PUBLISHER'S NOTE by DOVER PUBLICATIONS. INC.
This translation of the German work that originally appeared in Ostwald'sAmalen der Natur-philosophie, final number (1921), was carefully revised by the author himself. In addition, the philosopher and mathematician Frank P. Ramsay assisted C. K. Ogden with the translation.                                                              

Tokyo

                                                                February 7, 2012                                  

 Sekinan research Field of Language

The Time of Wittgenstein / 20 January 2012

The Time of Wittgenstein  

TANAKA Akio 
                                      

There surely exists the time of Wittgenstein for me.
That time about in my 30s, in the middle of 1970s.
One may aware of the kernel of the problem after almost all the hardships were gone and the problem is going under pursuing in the daily work for oneself, as Wittgenstein wrote at 6.521 in TRACTATUS LOGICO-PHILOSOPHICUS.  

Wittgenstein wrote on language immanently at least in TRACTATUS.
He also said in TRACTATUS 6.432 that how world exists  does not care from the higher dimensions.
I also wanted to write on language from the immanent side in language.
But I had not any pursuing method for writing on language at that time, only remaining set theory typically presented by Bourbaki that some translations were surely on my desk.

Set theory was enough fascinating at the time, but it did not give me any relative and constructive situations on language or widely on the world. It was isolated and non-relative for writing on language. I wanted the bond of the world. 

Now I have geometry for which the world can be bonded enough tightly. In 1970s I was never aware of the existence of geometry by myself, probably not being influenced from Wittgenstein's 6.35 in TRACTATUS, Geometry absolutely tell nothing on how the figure is and where the figure situated.So I had remain silently in the days not being able to write on the theme, the basic essence of language. Then I never knew the object on language, language universals that was taught from CHINO Eiichi later in 1980s. CHINO showed me the paper of Sergej Karcevskij, Du dualisme asymétrique du  singe linguistique. The theme determined my remain life hereafter. CHINO was the true teacher of my study. 

Wittgenstein wrote at the last 6.54 of TRACTATUS that his some propositions must be abandoned. I began to go through the wood of hard theme of language universals by mathematics especially using geometry. About what can be told to, I never must be silent. 

Reference
Citation from Ludwig Wittgenstein


                                                              Tokyo
                                                  January 20, 2012
                                 Sekinan Research Field of Language

For WITTGENSTEIN Ludwig / Position of Language / December 10, 2005 - August 2, 2014

For WITTGENSTEIN Ludwig⁰

Position of Language

TANAKA Akio

1 Quantization¹ 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 minimum², mirror language³ and mirror symmetry⁴ are inevitable approach to the study of language especially for language universals⁵.

[References]

0<WITTGENSTEIN Ludwig>

Theory Dictionary Writing

Theory Dictionary Person

Aim for Frame-Quantum Theory

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 

[Reference added, 2 August 2014]
At TRACTATUS LOGICO-PHILOSOPHICUS, Wittgenstein mentioned on dimension of language. I have barely reached the gate of the question recently. Refer to the next original papers.

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

hillseverzoho

1. Conjecture for whole and parts of word

2. Conjecture for dimension decrease by additional meaning
3. Conjecture for synthesis and completion of new word
4. Conjecture for standstill point and reversion of language 



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Tokyo December 10, 2005

Now travelling to a northern more place from the encounter

Tokyo November 27, 2008 Revised

Tokyo March 24, 2009 Revised

Tokyo June 27, 2009 Revised
Tokyo August 2, 2014 Reference added

Sekinan Research Field of Language

Hatonosu Ravine, West Tokyo, 29 July 2014

Presupposition on Natural Language / 22 August 2012

Presupposition on Natural Language

TANAKA Akio

                                        

1.
Language is variable. If it be true, what is the base of variability?
2.
Language is pronounceable. If it be true, what is emerged by pronounced?
3.
Language is recordable. If it be true, what is emerged by recorded?
4.
Example.
An apple is variable and will be rotten by time proceeding.
An apple is pronounced at a glossary shop and will be bought by a homemaker.
An apple is recordable  and will be recorded in a photo.
5.
What distinguishes language from apple? The answer is uncertain. So I make the language models parting from natural language.

Reference
For WITTGENSTEIN Ludwig / Position of Language / 10 December 2005-3 August 2012 
                                                                  Tokyo
                                                         22 August 2012
                                         Sekinan Research Field of Language