Monday 31 October 2022

Sunday 30 October 2022

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Saturday 29 October 2022

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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.

  1. Ideogram can contain rich information in small space. 
  2. Ideogram can show information at a glance.
  3. Ideogram can sustain information stably in long time*1-7.
  4. ​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 energydimension 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

  1. Ideogram. 4 March 2005.
  2. Quantification of Quantum. 29 May 2004. 


1

  1. The Time of Language
  2. The Time of WANG Guowei
  3. The Time of Wittgenstein 
  4. The Time of Quantum
  5. The Days of Distance
  6. The days when I was thinking on Energy Distance Theory
  7. The Days of Decipherment
  8. The days of von Neumann Algebra
  9. The days between von Neumann Algebra and Complex Manifold Deformation Theory
  10. Language between Sergej Karcevskij and string theory, one century's trace


2

  1. 40 years passed from I read WANG Guowei
  2. For WITTGENSTEIN Ludwig Revised with Symplectic Language Theory and Floer Homology Language
  3. Language between Sergej Karcevskij and string theory, one century's trace Preface
  4. Karcevskij conjecture 1928 and Kawamata conjecture 2002


3

  1. On Time Property Inherent in Characters
  2. Manuscript of Quantum Theory for Language
  3. Quantum Theory for language 
  4. Prague Theory
  5. Distance Theory
  6. von Neumann Algebra 2 Note Generation Theorem
  7. von Neumann Algebra 3 Note 1 Properly Infinite
  8. True-false problem of the Crete
  9. Word as Infinite Loop Space
  10. Disposition of Language
  11. Distance of Word
  12. Flow of language
  13. Boundary of language
  14. At least three elements for language universals​​


4

  1. von Neumann Algebra
  2. Algebraic Geometry Language
  3. Derived Category Language


5

  1. Early Paper
  2. ​Early paper 2
  3. Early Paper 3
  4. Recent Paper
  5. Recent Paper 2
  6. Recent Paper 3


6

  1. Appendix / Language between Sergej Karcevskij and string theory, one century's trace The 30th Anniversary of Sekinan Library Memorial Essay
  2. Genealogical Tree of Sekinan's Paper Sixth Edition


7

  1. SRFL Paper
  2. Sekinan Study
  3. Twitter. Sekinan Library. Moments​​


Outer sites and publication
​8

  1. The Comprehensive LATEX Symbol List Scot Pakin 19 January 2017.
  2. The exhibition catalogue of The British Museum ANCIENT EGYPTIAN BOOK OF THE DEAD JOURNEY THROUGH THE  AFTERLIFE. Asahi Shinbun.
  3. Steven Snape. Decoding the stone. George Weidenfield and Nicolson Ltd. 1997.
  4. John Chadwick. THE DECIPHERMENT OF LINEAR B. Cambridge University Press. 1958.
  5. The exhibition  catalogue of A JOURNEY TO THE IMMORTALS : TREASURES OF ANCIENT GREECE.  Asahi Shinbun et al.  2016.
  6. Unicode® Technical Report #51 UNICODE EMOJI.


This essay is unfinished.

Tokyo
20 April 2017
Sekinan Zoho

 

[Note]
7 march 2018

From the upper study, ideogram has special features as the next.

1. Ideogram is one style of writing language, rather near to image than letter.

2. Ideogram has potential to connects image and letter.

3. One ideogram generally contains more information than letter.

4. Ideogram has possibility to researching object by mathematics especially algebraic approach.

5. Ideogram has geographical and historical rich fields from Mesopotamia, Egypt to China. 

6. I take Chinese character for my research's  object.



Read more: https://srfl-lab.webnode.page/products/the-days-of-ideogram-ideogram-from-hieroglyph-to-latex-symbol-list/

hillseversunlit: Egyptian Hieroglyph Exhibition Journey through the Afterlife Ancient Egyptian Book of the Dead by The British Museum 2012

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Wednesday 26 October 2022

What facts do Three Conjectures for Dimension, Synthesis and Reversion show us?

 

What facts do Three Conjectures for Dimension, Synthesis and Reversion show us?

 

vide:  Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement



TANAKA Akio

1.
True-false problem of the Crete gives us the infinite circulation of true-false value.
This fact indicates us the existence of deep structure or hierarchy in language.
The Crete's true-false is solved by the perspective from 2-dimension to 3-dimension on structure in language world.

2.
Language has long history as the system of etymology. Apparently language has gradually added the  new meaning on the old established meaning in word. At this point new meaning is synthesised to the old meaning. At synthesis word mathematically reduces its dimension to the lower one. As the result time in word relatively occurred in the new word and inevitably connected with  dimension.

3.
Where and how does word exists in the world?
The distance from a certain point is absolutely demanded for measuring or observing for knowing the word's place.Reversion is a result for measuring or observing from a point.

4.
For precise description of dimension, synthesis and reversion mathematical tools are definitely needed and for more simple describing algebraic method is the most useful to approach for me and in order to easy-seeing and clear intuition geometrical approach is always inevitable to searching. I am greatly thanks to relevant mathematicians researching against severe problems still now for contemporary times.

Kodaira, Tokyo
20 November 2014
SIL

 


Read more: http://srfl-theory.webnode.com/news/what-facts-do-three-conjectures-for-dimension-synthesis-and-reversion-show-us/

Dimension Conjecture at Synthesis of Meaning

 

Dimension Conjecture at Synthesis of Meaning


TANAKA Akio

Tokyo
9 September 2013

1.
The image lm(δX) of Map δχ  is expressed by Zr(X)rat .
Here the next Chow group of r-cycle is defined.
CHr(X):=Zr(X)/Zr(X)rat .

<Birth of New Word>
Bass conjecture
For scheme that is finite type on Z≥0 and intger r≥o, CHr(X) is finite generative Abel group.
If language be the upper X, word is defined by  CHr(X) that is finite generative.

2.
<Synthesis of Meaning>

Transition theorem
The next and are regular closed immersion of codimension c,d

i:XYj:YZ

Here is  given Cartesian diagram of the next scheme.

X'i'Y' j'→Z'
↓          ↓          ↓
X— i j → Z

At this time the next equality sign is set up.

(j O i)! = i! O j! : CHr(Z') → CHr–c–d(X')

If additional meaning be defined by the upper and j, there is synthesis of meaning. 

3.

<Dimension of New Word>

If word be defined by CHr(X) and additional meaning is defined by i and j, the dimension of new word  is deduced from old word's r to r-c-d.

4.

<Dimension Conjecture at Synthesis of Meaning>

When word synthesises meaning, word reduces own dimension according to codimension of additional meaning.


[Reference]

-On dimension

-OnTransition theorem

  • W. Fulton. Intersection Theory. Berlin, Springer. 1988.

Arithmetic Geometry Language (AGL)

 Arithmetic Geometry Language (AGL)

Dimension of Language

 

Dimension of Language

TANAKA Akio

Tokyo
4 September 2013
hillseversunlit

1.
Here language means language model that is described by mathematics.

2.
Description is done by arithmetic geometry.

3.
Language model has not any relationship with natural language.

4.
Language model adopts the themes derived from some phenomena of natural language.

5.
The model dealt here is related with the next two themes.
(1) Parts and whole at the construction of word.
(2) Dimension of word constructed from parts to whole.

6.
(Theorem)
The next and are regular closed immersion of codimension cd.

i:XYj:YZ

Here is given Cartesian diagram of the next scheme.

X'i'Y' j'→Z'
↓ ↓ ↓
XiY j Z

At this time the next equality sign is set up.

(j O i)! = i! O j! : CHr(Z') → CHr–c–d(X')

7.
Consideration
Here i is supposed to be one meaning minimum and j is the another one meaning minimum.
Also X is supposed to be old word and Z is supposed to be constructed new word and Y is supposed to be internal word that is located between X and Z.
(1) The whole of word is constructed from the parts of word.
(2) The dimension of new word has lower dimension than the old word. The new word's dimension's decrease is equal to the r minus the sum of codimensins of i and j.
That is to say, the dimension of new word decreases than the dimension of old word. The degree of decrease is related with the codimensions of additional meanings.

♦ Here ends the paper.

Tuesday 25 October 2022

Sekinan Table: MeaningMInimum On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi

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Birth of Word, Synthesis of Meaning and Dimension of New Word / 8 September 2013

 Saturday, 6 September 2014

Birth of Word, Synthesis of Meaning and Dimension of New Word / 8 September 2013


TANAKA Akio

Tokyo

8 September 2013

1.
The image lm(δX) of Map δχ  is expressed by Zr(X)rat .
Here the next Chow group of r-cycle is defined.
CHr(X):=Zr(X)/Zr(X)rat .

<Birth of New Word>
Bass conjecture
For scheme that is finite type on Z≥0 and integer r≥o, CHr(X) is finite generative Abel group.
If language be the upper X, word is defined by  CHr(X) that is finite generative.

2.
<Synthesis of Meaning>
Transition theorem
The next and are regular closed immersion of codimension c,d
i:XYj:YZ
Here is  given Cartesian diagram of the next scheme.
X'i'Y' j'→Z'
↓         ↓          ↓
X— i j → Z
At this time the next equality sign is set up.
(j O i)! = i! O j! : CHr(Z') → CHr–c–d(X')
If additional meaning be defined by the upper and j, there is synthesis of meaning. 
3.
<Dimension of New Word>
If word be defined by CHr(X) and additional meaning is defined by i and j, the dimension of new word  is deduced from old word's r to r-c-d.

[Reference]
W. Fulton. Intersection Theory. Berlin, Springer. 1988.

Farewell to Language Universals Revised 2021

 

Farewell to Language Universals Revised 2021

 Farewell to Language Universals


18/03/2020 19:40 


First uploaded date to Sekinan View I ever thought of language from the vie point of the core elements usually assumed as one of language universals. Every element has been important for language phenomena, but selecting these elements from the infinite language world, they are seemed to be arbitrary pointing-out act for me now. So the below quoted  facts at paper 1 and paper 2 are, at the end, considered to be one of the important aspects on vast and boundless language for me now.


Tokyo

18 March 2020 First uploaded

27 June 2021 Text revised

Sekinan Library


Paper 1Mathematical description for three elements of language universals

Energy, dimension and distance can be described by mathematical writing.Energy in language is now preparatory description till now.


vide:

  1. Energy of Language / Stochastic Meaning Theory
  2. Energy and Distance / Energy Distance Theory
  3. Energy and Functional / Energy Distance Theory
  4. Potential of Language / Floer Homology Language

For dimension, definite results are presented being aided by arithmetic geometry.


vide:

  1. Three Conjectures for Dimension, synthesis and Reversion with Root and Supplement

For distance, its vast and vagueness of the concept can not be grasped up. But related papers of mine are probably the most in number.vide:

  1. Distance / Direct Succession of Distance Theory / Distance Theory Algebraically Supplemented
  2. Distance of Word / Complex Manifold Deformation Theory

This paper is not finished.Tokyo27 February 2015SIL Read more: https://srfl-essay.webnode.com/news/at-least-three-elements-for-language-universals/


The upper paper, titled as Mathematical description for three elements of language universals, is now one of the most fundamental studies of language at present outlook.Tokyo28 February 2020SRFL Paper

[Note]28 February 2020I ever wrote a essay titled Half Farewell to Sergej Karcevskij and the Linguistic Circle of Prague

Read more: https://srfl-paper.webnode.com/news/half-farewell-to-sergej-karcevskij-and-the-linguistic-circle-of-prague-with-references/


Paper 2

Half Farewell to Sergej Karcevskij and the Linguistic Circle of Prague with References

TANAKA Akio

I have thought on language through the rich results of the linguistic Circle of Prague and its important member Sergej Karcevskij. But now my recent thinking has inclined towards algebraic or arithmetic geometrical method and description. Probably it is the time of half farewell to those milestones which led me to the standing place here with rather sufficient results in my ability.Great thanks to all that always encouraged me for hard and vague target on language especially meaning and its surroundings. And also to CHINO Eiichi with love and respect who taught me all the bases of language study. For recent results see the following papers group named AGL Arithmetic Geometry Language and related essays.


Tokyo

23 October 2013

Sekinan Research Field of Language


[References]PapersArithmetic Geometry Language (AGL)

  1. Dimension of Language (AGL 1)
  2. Synthesis of Meaning and Transition of Dimension (AGL 2)
  3. Birth of Word, Synthesis of Meaning and Dimension of New Word (AGL 3)
  4. Dimension Conjecture at Synthesis of Meaning (AGL 4)

Essays

  1. Parts and Whole
  2. Edward Sapir’s Language, 1921
  3. Macro Time and Micro Time
  4. Meaning Minimum
  5. Disposition of Language

Tokyo

24 September 2014

References added

Sekinan Research Field of Language

Read more: https://geometrization-language.webnode.com/news/farewell-to-language-universals/

Thursday 20 October 2022

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Monday 17 October 2022

Saturday 15 October 2022

1963 Theoretical Physics. Translated by Google 2022

 1963 Theoretical Physics. Translated by Google 2022

 

1963 Theoretical Physics

 

1963
Theoretical Physics
https://writer.zohopublic.com/writer/published/gdc9i34353d4264e5470ca0fd4535f4ff7542

From Author: This translation was automatically done. So there are indefinite expressions in the essay. I humbly beg your pardon. The original text can be read at the upper Light-blue URL.

 
1.
1963 
Theoretical physics 


In April 1963, I entered Tokyo Metropolitan Tachikawa High School in Tachikawa, Tokyo. The high school is located at the south exit of the former Japanese National Railways Tachikawa Station, a 10-minute walk away, and was an old school founded in 1901 as Prefectural Nichu . Tachikawa Station is about 30 km west of the city centre, and along with Hachioji Station, it is the central station in the Tama area. 


On the day of the entrance ceremony, I remember that the cherry blossoms in full bloom were beautifully scattered outside the school gate, just like yesterday . On the left side of the school gate, there was a gatehouse that had been used for a long time, and in front of the central entrance, on the right side, there was a temporary hand-planted pine tree by Emperor Taisho. There were some old buildings left in the school, some of which were still in use while I was in school.  


The gatehouse is an old-fashioned building with a round roof on the left side of the school gate I was often there. When I joined the soccer club, I said . 

There were 400 students in the first grade, which seems to be a remnant of the old junior high school, which was only for boys, but there were 300 boys and 100 girls. I was in the men's class for the first and third years, and the men and women's class only in the second year. The bare- footed classroom was . After school shortly afterward entrance, only our class boys had cleaned the classrooms and corridors. Then a female employee flew in from the office so we didn't have to clean this school. I confirmed , and most of them probably never cleaned .


Kaneko, my best friend when I was three years old , told me with a grin that he had never cleaned it. The most fun part of my three years was when I was in the third year, even though it must have been difficult for me to take the university entrance exam . Kaneko and Kaneko, who were in the same class for the first time in three years, spent the year in the noisy seats at the back of the classroom, closest to the corridor side. I can't remember the details of why this happened now, but maybe the quiet and good seats naturally fill up, and Kaneko and I, who didn't care much about that, ended up sitting in the rest of the seats. It might have been. However, thanks to that, it was a free and enjoyable year, just like Yaji Kita Dochu .


There's a square trash can behind us, and quite a few boxes, especially as the one in front throws the used math calculator did not go to it, but it was scattered all over. If it gets worse , no one will get rid of it, so I had. Kaneko, of course, never went.

Growing up in a small town near the north-western tip of Tokyo with a population of about 20,000, where hills, forests and fields still occupied about 70 to 80%, I often went to the station by bicycle in the morning. On rainy days, I had to walk, and the hem of my feet got wet on the road in the woods, so I sometimes wore boots. Then, in the classroom Kaneko often said . " To be sure, I rarely That was me. Kaneko was good at mathematics. He surely solved the problem I was having and told me. Perhaps English was the only one I was almost equal to. He was always at the desk on the right side, sticking together, and said, "Tanaka, do you have a 1000-yen note?" He replied "I don't have it," and fooled me, "Well, I can solve it with the watermark."

  

We, Group G, were not clearly limited, but since the classes were Mathematics III, Physics / Chemistry, and Japanese History / World Kaneko aspired to chemistry, and I aspired to physics . It was theoretical physics. I had a strong admiration for theoretical physics since the fall of the year. The one I longed for most was Shinichiro Tomonaga. I can't confirm exactly when I read the teacher's "Stay-German Diary", but while staying in Germany, he was aiming to build a new theoretical physics with many prominent physicists. I was fascinated by. In the fall of 1965, the morning after Dr Tomonaga's Nobel Prize in Physics was reported, a moment before the start of work , we at Group G talked about the topic around Kaneko and the blackboard behind my seat I still remember one of the class happily saying . 


Much later, when I was focusing on the time inherent in letters, I felt the need to sort out the ultra-multi-time theory that was one of the core of Professor Tomonaga's Nobel Prize , and Nishijima, known for his German theory. With reference to Professor Kazuhiko's dissertation when I was able to understand the rigorous path of super-multi-time theory from Schrodinger to Dirac to Tomonaga as mathematics, I felt relieved as if I had solved my long homework since high school. put in memory. After publishing this article in a magazine, Professor Nishijima, I learned in the newspaper that he had died shortly thereafter. I think it was close to the teacher's last writingI became one of the people who felt the grace of Professor Nishijima. The title of his dissertation at this time was " Dirac and Quantum Field Theory," Mathematical Science, September 2007, pp. 15-20, Science , Inc. 2007 . 


It was natural for me to strongly aspire to the Faculty of Science at Kyoto University. However, I was probably the only one in Group G who wanted to go to Kyoto . Kyoto was a tough choice for me, but it didn't change while in March 1966, I headed At that time, I was carrying a book of Dante's Divine Comedy translated by Soichi Nogami of the Chikuma Shobo version, which I read little by little .

As a result of the examination, Kaneko passed the University of Tokyo II successfully, but I failed the 20 students of the Faculty of Science, Kyoto University 
At that time, Kyoto University told me the scoring results of the exam via high school, so I had them sent to me after a while As a result, it was a little more, but now, with my ability at that time, it would have been difficult to proceed to theoretical physics, even if it was included. However, I also learned that in terms of scoring , I was able to pass in some other faculties. This is the end of my high school life . 


I visited Kaneko's house several times after graduating from high school, who invited me to say, "It's not much different from your place ." On the slope at the foot of the Tama Hills, the red flowers of Oleander were beautiful in the summer After finishing his college, he became his desired chemistry researcher. After a long Winding Road, I'll finally find the subject and how to pursue it, and I'll be asked, "Are you still doing that he Has already passed away. He was in his mid-50s. lost . 

References

TOMONAGA'S SUPER MULTI-TIME THEORY
RESTING ELBPWS NEARLY PRAYER