SRFL News: September 2019

Monday, 30 September 2019

Time in Word

TANAKA Akio

Time inherent in word has been one of the most fantastic theme for me for a long period. WANG Guowei’s paper was strongly hinted to the theme towards first writing a trial paper on it. Roman Jakobson was also gave me the basic notion related with the theme. Still now the problem has not solved as the starting point. But being aided by mathematical method and description, learning on it has become more attractive in these days.

Trial paper: On Time Property Inherent in Characters
Basic notion: From Cell to Manifold
Mathematical description: Dimension Decrease Conjecture

Tokyo
24 October 2013
SIL
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[Note]
When I wrote this essay, "Time in Word" in the autumn of 2013, the relation between time and dimension cannot be thought clearly but now in 2014 I distinctly think that the relation exists at the situation of synthesis of the new meaning on the old meaning. The four papers of Arithmetic Geometry Language written between 4 September 2013 and 9 September 2013 are indicating the affinity with time and dimension. Now I show the compact paper in the four, titled " Synthesis Meaning and Transition of Dimension".

Synthesis of Meaning and Transition of Dimension, 6 September 2014

Four papers of Arithmetic Geometry Language are the following.

Arithmetic Geometry Language (Abbreviated AGL)

Dimension of Language (AGL1)
Synthesis of Meaning and Transition of Dimension (AGL 2)
Birth of Word, Synthesis of Meaning and Dimension of New Word (AGL 3)
Dimension Conjecture at synthesis of Meaning (AGL 4)

Tokyo
17 November 2014
SIL
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[Note 2]
The relation between time and dimension is now arranged at the following paper.

Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement / 19 November 2014

The overview of time in language is now shown at the following paper.

How is the time alive in language?

On WANG Guowei and Roman Jakobson, refer to the next.

............................................................................................................................

[Note 3]
Essay "Pleasure of Mathematics" includes time notion related with Brownian motion.

Pleasure of Mathematics / 15 December 2014

Tokyo
3 December 2014
15 December 2014, Note 3 added
SIL

Pleasure of Mathematics

Pleasure of Mathematics

TANAKA Akio

Thinking about language by mathematics is one of the most fantastic time for me, ever and probably from now on. Now I remember that the days of writing Stochastic Meaning Theory and Energy Distance Theory showed me the new visibility to language from ambiguous intuitive situation.

Stochastic Meaning Theory

Energy Distance Theory

Especially Stochastic Meaning Theory was a fresh entrance to writing on my physical image of language. Energy and Brown motion are both purely the themes of physics. But in those days about 2007, I thought that if language have energy or language have free movement like Brown motion and in the space described by mathematics language generate words or sentences. Stochastic approach is enough strong to my uninhibited desire. In those days what I really wanted to get was the universality definitely described on language.
One day I was admonished from my teacher CHINO Eiichi,"You should not take those course that were not for our ordinary people's study, we were not Wittgenstein. " CHINO taught me almost all the linguistic information from the utterly beginning. I was surely not Wittgenstein, or did not want to become him. But what Wittgenstein pursued in his life time was also able to pursue in my life time, I have thought it over and over. At this situation, Roger Penrose wrote quite exactly as the following.

In 2005 Roger Penrose published THE ROAD TO REALITY A Complete Guide to the Laws of the Universe. At the preface he wrote, "We cannot get any deep understanding of the laws that govern the physical world without entering the world of mathematics."

I ever wrote on CHINO with deep gratitude after his death in 2002.

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.

For me, mathematics is not a tool to think but pleasure to think. If there be not mathematics right before me, how I describe language's Brownian motion to the others in the complexed and gotten entangled situation by historical deepness and areal wideness.

I wrote at the paper, "Language as Brown Motion" as the following.

Abstractive space Ω

σ additive family that consists of subset of Ω F

Measure that is defined over F P

P satisfies P ( Ω ) =1.

Probability space ( Ω, F , P )

Stochastic process defined over ( Ω, F , P ) ( Bt ) _t_≥₀=( Bt ( ω )) _t_≥₀

( B _t) _t_≥₀that satisfies the next, it is called Brownian motion .

(i) P ( B ₀= 0 ) = 1

(ii) For ∀ ω ∈ Ω , B _t( ω ) is continuous on t .

(iii) For0 = t ₀< ∀ t ₁<…< t _n, ∀ n ∈ N , { Bt _i- Bt _i_-1}satisfies the next.

a) { Bt _i- Bt _i_-1} are independent each other.

b) { Bt _i- Bt _i_-1} are followed by mean 0 and variance t _i- t _i-₁of Gauss distribution.

Random variant of 1-dimensional Brownian motion starting from the origin B

σ _(0,_∞₎: =inf { t >0; B _t∈ (0, ∞ ) }

A = { σ _(0,_∞₎= 0 }

A ∈ F ₀^*

P ( σ _(0,_∞₎= 0 )= 0 or 1

t ↓ 0

P ( σ _(0,_∞₎= 0 )= 1

From symmetry of Brownian motion B _t= - B _t

From these premise, the next assumption is led for us.

Language that has Brownian motion L _B

L _Bhas actual language and imaginary language.

At this process mathematics is not definitely a tool for thinking. By the very mathematics, I could first get the clear notion of actual -imaginary relationship as the style to the others. It is a great pleasure to get difficult theme after long times. And also pray all the people, thinking complexed intuitive notions and hoping to describe clearly, step up one or two levels alike me.

Tokyo

13 December 2014

SIL

Preparatory paper for Quantum Group 2019

Preparatory paper for Quantum Group

Place where Quantum of language Exists 2004

1. Kac-Moody Lie Algebra Note 2 Quantum Group 2008

2. Symplectic Language Theory Note 6 Homological Mirror Symmetry Conjecture by KONTSEVICH 2009

3. Floer Homology Language Note 7 Quantization of Language 2009

4. Floer Homology Language Note 8 Discreteness of Language 2009

5. Simplicial Space Language Composition of Word 2013

3
1. Floer Homology Language 2009
2. Homology Structure of Word 2009
3. Quantization of Language 2009
4. Discreteness of Language 2009
5. Proto Arithmetic Geometry Language 2009
6.Language, Word, Distance, Meaning and Meaning Minimum 2009

1. Manuscript of Quantum Theory for Language Note added 2003

2. Quantum Theory for Language 2004

3. Quantum Theory for Language Theoretical Summarization and Problem in Future 2004

4. Noncommutative Distance Theory Note 2 C*-Algebra 2007

5. Kac-Moody Lie Algebra 2008

Read more: https://srfl-lab.webnode.com/

Sunday, 29 September 2019

Glitter of youth through philosophy and mathematics in 1970s

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. 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 language, KAJIMURA Hideki, CHO Shokichi Korean language, Natary Muravijowa Russian language, ONO Shinobu Chinese literature, MIIYAZAKI Kenzo, FURUTA Hiromu, KONDO Tadayoshi Japanese literature, ANDO Tsuguo French poem, SAEKI Shoichi Haiku, IKEDA Hiroshi Japanese classical drama, SAITO Kohei sculpture, YAMAGISHI Tokuhei bibliography, NISHI Junzo Chinese philosophy, KAWASAKI Tsuneyuki Buddhism, CHINO Eiichi Russian language, the Linguistic Circle of Prague. At last dear friend of high school days KANEKO Yutaka mathematics and our youth.

Tokyo
6 March 2015
Sekinan Library

Read more: http://srfl-collection.webnode.com/products/glitter-of-youth-through-philosophy-and-mathematics-in-1970s/

The days of Sekinan Library

TANAKA Akio

Sekinan Library was opened at Tachikawa, Tokyo in April 1986. Till March of that year I was a student of the post graduate course for cultural sciences and also worked at a night course of a high school for keeping daily life. At university I studied the history of Buddhism of ancient Japan mainly reading old Japanised Chinese writings while learning the history of European linguistics typically represented by The Linguistic Circle of Prague in 1920s. Buddhism was taught from Prof. KAWASAKI Tsuneyuki and linguistics was from Prof. CHINO Eiichi. In those days I had been concerned with the presentation of historical text by Chinese characters which was not any inflections in sentence, so usually called isolated language, which grammar only being controlled by word order.

I wondered that what is word order, how the grammar changes in the non-inflation words. All were in the utterly dark world because European linguistics had not made up the developed isolated language like classical Chinese. But in China especially in the era of Qing dynasty, many linguists were studied Chinese classics using vast methods historically formed since circa 500 B.C.

At March 1986, I determined that study theme was limited in the linguistic study of ideogram like Chinese character, for the study of which a new perspective would be appeared from our Oriental region still now using ideogram like China and Japan. From April I started my study while teaching modern and classical Chinese at Sekinan Library. At night frequently being called as the lecturer of Buddhism and Chinese of civic education. At that time the most interesting theme of the study was ancient Chinese characters inscribed on oracle bones and tortoise shells, which already showed the perfect system of ideogram and had been studied in the Qing dynasty's linguists, in which I was deeply fascinated by WANG Guowei's work Quantangjilin.

Over decade after, in 2003 I could first written a paper on diagram focused on inherent time in Chinese characters. The title was " On Time Property Inherent in Characters" and its direct succession, "Quantum Theory for Language" which was presented at a conference opened at Nara in December 2003.

References
1.

Tokyo
26 February 2015
SIL

Linguistic Circle of Prague Note added

Linguistic Circle of Prague

TANAKA Akio

The Linguistic Circle of Prague was taught from CHINO Eiichi in his class of Structural Linguistics in the late 1970s. We first met at the university in 1969. He was young, probably the age 30s. I was 21 years old.

Now referring his chronological record, CHINO was born in 1932, graduated Tokyo University of Foreign Studies in 1955, entered Carrel University at Czechoslovakia in 1958 and returned to Japan in 1964. So we met after 5 years from his returning.

Sometimes we conversed at the coffee shop near the station we used. California, it was the name of the shop, up the rattled stairs, under the dim light. It was the youth time of mine and probably with him.The greatest thing he gave me was teaching me the existence of KARCEVSKIJ Sergei in the Linguistic Circle of Prague. My latter half life was almost determined by KARCEVSKIJ's one paper, " Du dualisme asymetrique du signe linguistique" .

One day on the train after school, he calmly but definitely said to me that he never was linguist because he never discovered any new language or law and he only was the introducer to general linguistics.

Now I really think that I am also never linguist nor introducer. I only love language, so have written on language or its around till now. CHINO taught me the the study or rather more deep attitude to the life itself.

Regretfully he died in 2002, age 70.
He wrote several books on linguistics. The masterpiece that I confirmed isJanua Linguisticae reserata 1994, that is the general invitation to linguistics for further studying of wide and deep view.

The title was determined by the famous book of Jan Amos Komensky 1592-1670, Janua Linguarum reserata 1632. Here I feel CHINO's deep love to the history and culture to Czechoslovakia where he studied for Czech in 7 years.

[Note added]
I frequently heard on Linguistic Circle of Prague (LCP) from CHINO. But now standing in the twilight of my learning,
I have not understood anything about it essentially, that had probably much more heritage for contemporary language study than my thinking.
I already old and can never start to cultivate the new frontier on LCP or its successive study. Only saying is what I really recognise that LCP and Russian philology is the heimat of my language study.
It is and will be the heimat of my soul evermore. 19 July 2012
Tokyo
13 July 2012
19 July 2012 Note added
Sekinan Research Field of Language

Road to Language Universals

TANAKA Akio

Sekinan Research Field of Language was established in 2003 for the study on language universals, that was the core theme since my youth time some 40 years ago in the 1970s. But real start was much later in the late 1980s.

In 1986 I established the Sekinan Library for the base of study at Tachikawa, Tokyo. At that time my main theme was declined to the study of old Chinese character's classical semantics using the traditional study of the form of characters reading Qing Dynasty's WANG Guowei. The study from the direction had not given me so rich results. I at the same time read some mathematical books influenced from Bourbaki that was the big stream in 1970s in Japan. Set theory represented by Gödel was also the favourite at the time.

In 1990s I determined the direction of study only to language universals taught from CHINO Eiichi, one of the modern typical philologists of Japan. He taught me almost all the aspects of European philology that were unknown for me. In the various themes he gave me, the most impressive was the existence of the Linguistic Circle of Prague. Above all Sergej Karcevskij was overwhelmingly deep and moving. But Karcevskij's approach was seemed to be intuitive and far from clear descriptiveness.

I began to learn the theme hinted by Karcevskij while learning Gödel, Bourbaki and Wittgenstein that was also gave me the big influence form the age 20s. I had frequently read Wittgenstein's TRACTATUS. But my base of math was so poor and never became the descriptive use for language's delicate phases. So I again restarted math from geometry that gave the most familiar and clear image for me. My intuitive image and basic math description were seemed to be able offer in nearly millennium days.

In spring 2003 I knew the application paper for the international symposium held by a certain institute. I arranged the short paper for it till early summer and sent it. The paper was happily adopted as one of the language and literature section of the symposium. The paper's title was Quantum Theory for Language. It was again arranged next year 2004 as the title Quantum Theory for Language synopsis.

The establish date of Sekinan Research Field of Language was 23 August 2003, that was the date of completion of proto-conceptive paper of Quantum Theory for Language at the hutte in Hakuba, Nagano. Now the time passed rapidly 10 years. The home site, sekinan, has become full by the papers accumulation. So the new site has become indispensable.

Tokyo
31 December 2012
Sekinan Research Field of Language

Postscript
New Site for Sekinan Research Field of Language
Sekinan Study
Tokyo
14 July 2015 Added

40 years passed from I read WANG Guowei

TANAKA Akio

Guantangjilin is the selection of works by WANG Guowei, which contents contains vast area of history, literature and linguistics. Some people say that his works is a thousand-year peak from Song era’s philosopher SHU Xi. I bought his book at Haifeng shudian, Kanda, Tokyo in my mid 20s. The date of colophon is February 1973, publisher is Zhonghua shuju Xianggang fenju.

Probably I bought it in 1973 or 1974. In those days I frequently went Haifeng shudian bookshop for buying Chinese classics, mainly Qing Dynasty’s linguistic works that is called ” Xiaoxue”, Small study at China. Guantangjilin is a very difficult book to understand by my poor study result.

His study era is from Yin Dynasty to Qing Dynasty some 2,500 years of Chinese literary history. At his vast works I was especially charmed in Qing Dynasty’s ancient Chinese hieroglyphic characters, Jiaguwenzi by Chinese. After 40 years, in 2003 I wrote a small paper on language universals through this ancient Chinese hieroglyphic characters at the view point of written language.

The title is On Time Property inherent in Characters. From at that time 10 years passed by. Now I am still learning on language universals but its style is far apart from the days 2003 or 1973. Ambiguity of approach by traditional linguistics is not for my part. I dare challenge to a new frontier of description for language study using mathematics or algebraic geometry.

Refer to the next.

Tokyo
16 November 2013
Sekinan Research Field of Language

The Essence of Language Seeing the exhibition TREASURES OF ANCIENT GREECE, Tokyo National Museum

The Essence of Language
Seeing the exhibition TREASURES OF ANCIENT GREECE, Tokyo National Museum

TANAKA Akio

20 July 2016 I went to see the exhibition A JOURNEY TO THE IMMORTALS: TREASURES OF ANCIENT GREECE being opened at Tokyo National Museum, Ueno,Tokyo.

At the exhibition I first saw Linear A and Linear B.
Exhibition Catalogue numbers are the next.
The numbers 39 and 40 are Linear A. 41 and 77 are Linear B.

39. Clay juglet
40. Clay bar
41. Clay tablet
77. Linear B bar and tablet

About the two Linear I knew the brief information from the book, THE DECIPHERMENT OF LINEAR B by John Chadwick, Cambridge University Press, 1960.
From the exhibition I also knew still now not to decipher the Linear A.
My simple impression is the next.
If the stability of language exist in the structure, the essence of language is appeared at the letters and characters. So I think. The core of this view contains the view for structure of language, which I would be able to write clearly using mathematics. For more details, refer to the reference 2.

References
A JOURNEY TO THE IMMORTALS: TREASURES OF ANCIENT GREECE [Exhibition Catalogue]. Tokyo National Museum et al. 2016.
THE DECIPHERMENT OF LINEAR B by John Chadwick, Cambridge University Press, 1960.

Reference 2
Perspective for Derived Category Language.Stability of Language

Reference 3
Derived Category Language, 26 July 2016 Edition

Tokyo
27 July 2016
Sekinan Library

Exhibition catalogue
A JOURNEY TO THE IMMORTALS: TREASURES OF ANCIENT GREECE [Exhibition Catalogue]. Tokyo National Museum et al. 2016.

My Heimat of Learning, the Linguistic Circle of Prague

My Heimat of Learning, the Linguistic Circle of Prague

TANAKA Akio

My heimat of learning is the Linguistic Circle of Prague on which I was taught from my teacher CHINO Eiichi.
Sadly he died almost suddenly by disease in 2002 at age 70.

After a decade, I am now already 65 and near his later year days. When we met and told at the university or station-front old coffee shop, he had been a researcher and I had been a student all the time, and maybe sometimes been a younger friend.

If we meet again, we will be the researcher-student relation same as old days but or this time only become friends that are absorbed in language problems under the dim light of a narrow coffee-shop.

3 October 2012

Refer to the next.
Coffee shop named California
Linguistic Circle of Prague
Prague in 1920s
Under the Dim Light

Language, amalgamation of mathematics and physics

TANAKA Akio
2 April 2013

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]

Relation between mathematics and physics Operad Meaning Theory. From Cell to Operad. 24 March 2013. ifbetruezoho
finite and compact Simplicial Space language. Composition of Word. 20 January 2013. ifbetruezoho
Infinite and eternal Infinite Loop Space language. Word as Infinite Loop Space. 6 December 2012. sekinanmodel

Tsugaike Highlands, Nagano. 30 August 2011