Stonesouth News

Thursday, 22 May 2025

Glitter of youth through philosophy and mathematics in 1970s

TANAKA Akio

In 1970s 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 Godel（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.After millennium 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

Affinity between philosophy and mathematics

TANAKA Akio

Philosophy

Mathematics

Letter concerned

Tokyo
9 September 2018
Sekinan Study

Read more:
sqgl.weebly.com/affinity

For Wittgenstein Revised / Position of Language

For Wittgenstein Revised / 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.
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 Models of Language Universals 6 will be shown by the description of mathematics.

[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
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

Wandering between language and philosophy

Roman Jakobson / 16 July 2012

15 Silk Road and 16 Story 2021 Revised 2022

15 Silk Road and 16 Story 2021
Revised 2022

15.
2003
Silk Road

In the fall of 2002, I had pneumonia and was admitted to Ome Municipal General Hospital for about two weeks. Fortunately, the progress after admission was smooth, and after one week, my breathing and physical condition returned to normal, but my doctor was cautious about whether I was exhausted, and it took another week before I was discharged. Looking out the window at the mountains of Okutama, I was keenly aware that I hadn't written anything about the subject of the language I finally found. When I was discharged from the hospital, I was repeatedly checking the words and phrases of the dissertation to be written, thinking that I should give priority to that first and foremost.

The essence of the discussion was gradually coming together. There was something unwavering about the pursuit of what the essence of language was the subject of my dissertation, but considering the depth and vastness of the language itself, I have accumulated myself so far. Based on this, I focused on Chinese characters, and while using Kiyoyo's elaborate linguistics, elementary school, I was aiming for a universal linguistic theory, and from there I was thinking of a direction to approach the language itself.

As a result, by the time of discharge, I found that some of the typical forms and meanings of the oracle bone script contained time in those letters, referring to Wang Guowei's papers, etc. Based on this, I considered the direction of the syntactic theory, in which a sentence is formed by concatenating words that include time, as the second article. However, my traditional dream was to set them in a physically verifiable direction rather than in a philosophical direction. My longing for theoretical physics, which has existed within me since high school, was still at the core of my thinking. And now I was learning the basics of the epic algebraic geometry systematized by the French Bourbaki group Nicolas Bourbaki by the 1960s.

When I was a research student, Sergej Karcevskij's "Asymmetric Duisme asymmetrique du linguistique 1929" by Sergej Karcevskij of the Prague Linguistic Circle of Prague continued to come and go in me. For example, I had just set up a base camp far below this high peak.

Regarding "asymmetric duality of language symbols", I have written a short sentence before, so I will reprint it below.

"Symmetry. It's what I once talked to C in linguistics. Prague in the 1920s. Karzewski's paper in the magazine TCLP," Asymmetric Duplexity of Linguistic Signs. " The coexistence of absolutely contradictory flexible and rigid structures where the language continues to hold, thereby the language remains the language. An eternal contradiction that will continue to be doubly inherent in language. Karzevski presented the duality of why the language can be so flexible and so robust, and that it is almost absolutely inconsistent. A discussion of the white eyebrows left by linguist Sergei Karzevskiy, whom C described as the only genius in his last book. A consistent understanding of this duality as to why this coexistence is possible has probably not yet been submitted. Karzevskiy

's dissertation was a breakthrough that briefly bisected its macroscopic structure of the meaning that was difficult and barely touched in linguistics.

In 2003, I began to put together the above two directions almost in parallel, but spring came without being able to construct the logic of the language that connects the two of vocabulary and syntax. Two children went out for spring skiing in Yuzawa, Niigata prefecture, which has been continued in recent years, because the school was on spring break, and the children and my wife enjoyed skiing according to their respective strengths, but I went to the hotel alone. For the rest, I focused on following the invisible logic for building the word-to-syntactic connection that was absolutely necessary for my dissertation .

As a result, I didn't bring any reference materials, so the day after I arrived in Yuzawa, I wrote with almost no writing, and summarized the principle logic that connects vocabulary and syntax. Was done. This sentence was scribbled and incomplete, so I didn't upload it on the Web even after I finished writing the two articles, but in 2015, when I reread it in detail, I found that this sentence Since I recognized most of the sprout of the subject that I continued to write about my language, I decided to add a short preface and upload it under the title of Manuscript of Quantum Theory for Language . ..

Around April, a while after I returned to Tokyo, I opened the Site of the National Institute of Informatics, which I used to see from time to time, and announced that an international symposium on Silk Road would be held in Nara, co-sponsored by the Institute and the Ministry of Education. The call for papers to be published there was posted. Since I had written two dissertations based on the draft I wrote in Yuzawa, I decided to submit the dissertation on syntax as an application paper, and since it was an international symposium, the dissertation should be written in English in principle. Since it was said that it was supposed to be translated into English, I corrected a part to make it more logical and clear, and I was able to apply safely by the submission deadline in May. The paper, entitled Quantum Theory for Language , regarded language as a physical quantum and the combination formed a sentence.

Although I felt common sense anxiety about treating language as a quantum, I was sensuously convinced of the future prospects in that direction, so I hardly hesitated. Fortunately, this paper was adopted as one of the four oral papers in the linguistics and literature section of the symposium, and I was on December 23 and 24, 2003, at the far right of Nara Todaiji Temple. It will be announced on the 23rd at the symposium held at the public hall. The presenters in this department were a professor at Hokkaido University, a member of the Toyo Bunko, a researcher at a company, and myself.

After the oral presentation on the afternoon of the 23rd, I was really relieved. On the afternoon of the 24th of the second day, when I went to the hall, which was the main venue, researchers from various countries gathered and various languages were spoken. Perhaps because of the subject of the symposium, there seemed to be a large number of people attending from Central Asia. Starting with an invited lecture, there were lectures by department, oral presentations, panel presentations, posting of related information, etc. were held throughout the public hall, and it was reported that the total number of participants was close to 400. To me, the venue itself seemed like the end of the modern Silk Road.

Quantum, which is the center of my discussion, is a concept of physics, but it was also very attractive from the viewpoint of mathematics, so it was taken into group theory in mathematics and defined as a quantum group in the 1980s. Proposed by VG Grinfeld.
Hopf algebra and the quantum Yang-Baxter equation. 1985 is the first paper. In the same year, Michio Jimbo of Japan also published a paper A q -difference analogue of U (g) and the Yang-Baxter equation. 1985, which bridged physics and mathematics.

It was later in the late 2000s that it became clear to me that it became possible to use quanta strictly in mathematics. My sensory direction to the quantum can thus be used as being completely determined by a strict mathematical definition.

I have further geometrically transformed this quantum, and with the help of the achievements of Perelman and others who introduced the calories of physics into mathematics, I have expanded the language from natural language to signals and further to the energy elements that are the basis of them. Quantum-Nerve Theory, which advances to representation and its application and tries to quantumly transform human nerves to lead to applied science, has almost finished its preparatory consideration from 2018 to 2019, and now We have reached the direction of advancing its mathematical structure algebraically. At the same time, I would like to continue learning important directions such as David Marr's work Vision, which passed away at the age of 35 in 1980, which created the skeleton of neural theory, and "visual computational theory and brain expression" as a subtitle.

Let's go back to 2004.
In January 2004, the Institute of Informatics sent me a completed manuscript because I would like to publish an oral presentation paper as a booklet, and I received an email saying that the oral presentation manuscript was further corrected and sent. In May, a thick booklet containing papers was delivered to the people concerned. To distinguish it from the conventional manuscript, the title on the booklet is Quantum Theory for Language Synopsis .

In the year I entered university in 1967, I was thinking of one of my goals as a major direction from Asian to European languages. Half a century later, my first booklet containing a dissertation summarizing my subject was presented from Japan to Central Asia and then to Western Europe. It may have been one of the accumulations of wisdom delivered on the modern Silk Road. Even if my dissertation itself was really small in it.　

Tokyo
7 February 2022 Revised
Sekinan Library

16 .
2015
Story

In the winter of 2012, when I felt that the Paper dissertation on the universality of the Language Universals language, which I had been writing since 2003, had settled down in my own way, at the age of 65, I derived the language from axioms and theorems. However, in some respects, the desire to take a step away from the ruthless world of mathematics and to warmly portray the human beings living there has become stronger, and one youth that includes an autobiographical element. I wanted to portray the possibilities as two people who are both lonely but never isolated.

Her A, the main character, her I, who reunited with her, and the bulbul that hurt her wings were all, in a sense, the alter ego of the author. As an amateur, I can't tell if it's complete as a story, but as I write this story, I'd like to express what I should call salvation while wandering in the days of youth. became.

In their lifetime, they have met many people, received unpredictable support, and faced unexpected farewells, and would have continued their journey to discover their own subject of life. I was one of them.

One will never be able to continue when he is strong. So, there, you might come across something that could be called salvation somewhere without realizing it. It wasn't because it was weak, or because it was weak, and it wasn't asking for it, but in life itself, perhaps inevitably, salvation would have existed as something that would come unknowingly. I was naturally like that one day.

The story begins with the days of autumn when the wind is cold, and ends with a day full of light that makes you feel the loneliness of winter.
I wonder if everyone is the two of the day.

"Winter is coming to them like grace now."

I conclude this story so.

The Days of Ideogram Ideogram from hieroglyph to LATEX Symbol List

The Days of Ideogram

Ideogram from hieroglyph to LATEX Symbol List

TANAKA Akio
Sekinan Library

Mark * in the text shows Reference number.

1. Ideogram
Ideogram has long history.
In the early paper I ever simply defined ideogram*0-1.
I also wrote relative papers on ideogram from the viewpoint of Chinese characters*3-1, 3-2, 3-3.
Especially Manuscript of Quantum Theory for Language 2003 is a starting root of my research on language universals*3-2.
The history of ideogram continues from Egyptian hieroglyph to Chinese character and now adds LATEX Symbol List*6-1.
The 21st century will necessarily become the century of ideogram.
The reasons are below.

Ideogram can contain rich information in small space.
Ideogram can show information at a glance.
Ideogram can sustain information stably in long time*1-7.
Ideogram has fertile capability to superb diversity of languages*8-5.

2. Set theory
Probably in summer 1977, I was designing for a paper on the sentence in language. The central part of the paper was connection between words or sentence, in which the logic of language would be shown using the set theory as a simplified model of true and false. I was strongly influenced from Kurt Godel, Gaishi Takeuchi and Bourbaki*1-1. But this design was abandoned for my lack of mathematical basis keeping on.

3. Qing dynasty's linguistics
In 1980s and 1990s I was lost in learning Chinese classical character theory, Xiaoxue, especially Qing dynasty for ideogram's fundamental property*2-1. At this period I did not write any paper on language. I solely read WANG Guowei*1-2, WANG Yinzhi, DUAN Yucai and Qing dynasty's linguists.

4. Time property in characters
In Autumn 2002 I got pneumonia and was hospitalized about 2 weeks, where I thought of 1970s' dream, writing clear description on language universals by mathematics. The theme was as hard as ever. So, at the bed I thought the basis of language from a side of Chinese character’s classical approach which had vast heritage till Qing dynasty. I directed my attention to the character's figure which had compound meanings containing time elements continuing from Yin dynasty's hieroglyphic characters left on bones and tortoise carapaces some 2400 years ago. I thought that Chinese characters had containing time and its structure could be written by geometric approach once I had abandoned for difficulty. After leaving hospital, I wrote a paper titled On Time Property Inherent in Characters*3-1.

5. Quantum elements
In 2003 staying at Hakuba, Nagano, I wrote a rial paper on language universals from the viewpoint of physics. This was remained manuscript till now. The title was Manuscript of Quantum Theory for Language*3-2 for the time being. Because in summer 2003 I wrote the first paper on language universals from physics titles as Quantum Theory for Language*3-3 which was read at a conference held in winter 2003 of Nara Japan.

6. Finite generative
Language probably begins from finite elements and generates.*3-6, 3-7 its world responding to outer world. I learned the concept of finite generative from von Neumann Algebra*4-1 at around 2006 and 2007.

7. Structure and dimension
Language probably has structure, which details are unknown now for me. But several phenomena hints me the existence of structure containing dimension. Its example is shown at the Crete's lie, on which I wrote a tiny paper titled as True-false problem of the Crete*3-8 in 2013.
More details on mathematical approach to dimension is shown at Algebraic Geometry Language*4-2.

8. Immanent time
Chinese character has immanent time in figure *3-1, 3-4. On the theme I wrote several papers between 2003 and 2005. Main papers related with the theme are seen in Early Paper and Early Paper 2*5-1, 5-2.
For the immanent time, I wrote a mathematical paper titles as Word as Infinite Loop Space*3-9.
In comparison with Chinese character, hieroglyph is very fantastic object on ideogram. For more details, hieroglyph is more complex for describing the concept using two functions, logogram expressing things' meaning and phonogram expressing words' pronunciation*0-2, 8-3.
Besides hieroglyph has also definitive element which is put at the end of the word. This element is very similar to Chinese character's meaning element which is called Pang 旁 in Chinese*8-3.
But even for learning hieroglyph's basis, I have not enough time now. I only like to see the relative events on hieroglyph at time to time . The exhibition held at Mori Arts Gallery in 2012, Tokyo titled as The British Museum ANCIENT EGYPTIAN BOOK OF THE DEAD JOURNEY THROUGH THE AFTERLIFE *8-2 was very fantastic, in which The Greenfield Papyrus was overwhelming.

9. Disposition, distance, flow and boundary
For thinking of language, I have been interested in four elements, disposition, distance flow and boundary*3-10,11,12, 13, which seem to become the basis of language.
especially at researching ideogram, disposition is fundamental to construct grammar.

10. Energy, dimension and distance
For more further research language , now I suppose at least three elements being based from mathematical description, which are energy, dimension and distance*3-14.

11. Mapping and category
Ideogram now has an important part in computer age. Image confirmation is very popular at internet banking system, which can contain vast information in one image, so password decoding is more difficult than phonogram or Arabic numerals.
Generally ideogram has vast information to the others using comparatively easy way.
This ideograms situation resembles mapping at category theory in mathematics. For this point I wrote rough sketch to apply category theory to language theory. Sketch name is Derived Category Language 2016*4-3.

Appendix
Sekinan Library's publicised papers are shown at SRFL Paper*7-1.
Theoretical development on language universals are shown at Genealogical Tree of Sekinan's Paper Sixth Edition*6-2.
Related words and concepts on language universals are shown at Appendix / Language between Sergej Karcevskij and string theory, one century's trace The 30th Anniversary of Sekinan Library Memorial Essay*6-1.
Relative themes on language universals at Sekinan Library are seen at Twitter Sekinan Library’s Moments*7-3.

References

Sekinan Library
Author
TANAKA Akio

0

40 years passed from I read WANG Guowei
For WITTGENSTEIN Ludwig Revised with Symplectic Language Theory and Floer Homology Language
Language between Sergej Karcevskij and string theory, one century's trace Preface
Karcevskij conjecture 1928 and Kawamata conjecture 2002

Outer sites and publication
8

This essay is unfinished.

Tokyo
20 April 2017
Sekinan Zoho

Thursday, 22 May 2025

Glitter of youth through philosophy and mathematics in 1970s

Glitter of youth through philosophy and mathematics in 1970s

Affinity between philosophy and mathematics

For Wittgenstein Revised / Position of Language

Wandering between language and philosophy

Wandering between language and philosophy

15 Silk Road and 16 Story 2021 Revised 2022

15 Silk Road and 16 Story 2021Revised 2022

15.2003Silk Road

16 .2015 Story

The Days of Ideogram ​​​Ideogram from hieroglyph to LATEX Symbol List

15 Silk Road and 16 Story 2021
Revised 2022

15.
2003
Silk Road

16 .
2015
Story

The Days of Ideogram Ideogram from hieroglyph to LATEX Symbol List