Saturday, 27 January 2018

Quantum Language between Quantum Theory for Language 2004 and Generation of Word 2008 adding their days and after A conclusion for the present on early papers of Sekinan Library

Quantum Language 
between Quantum Theory for Language 2004 and Generation of Word 2008
adding their days and after
 A conclusion for the present on early papers of Sekinan Library



23 January - 26 January 2018

Tokyo



1.
I wrote a paper titled Quantum  Theory  for Language in 2004.
This paper was read at the international symposium on Silk Road at Nara, Japan in December 2003.
The encounter with this time's persons and thoughts are written at The Time of Quantum  in September 2008.

2.
This paper's concept was prepared at Hakuba, Nagano, Japan in March 2003.
This concept was jotted down at the hotel of Hakuba so the publication became late till 2015. The title was named Manuscript of Quantum Theory for Language.

3.
In Autumn 2002 I was hospitalized by pneumonia for two weeks, when I thought to put the linguistic research on old Chinese characters so far in order. The result was arranged as a paper titled On Time Property Inherent in Characters also at Hakuba in March 2003.

4.
Quantum Theory for Language was added proviso, Synopsis, because the paper was thought at that time as a role of a rather long mathematical paper's preface on quantum theory on language.

5.
In 2005 Distance Theory was written as a successive paper of Quantum  Theory  for Language. In those days Reversion Theory in September 2004, Prague Theory in October 2004 were successively written.

6.
Time passed by rapidly.
After some preparations of mathematics, I wrote successive papers related with Quantum Theory for Language. von Neumann Algebra was put at the centre of preparation. The days at that time was simply wrote titled as The Days of von Neumann Algebra and The Days between von Neumann Algebra and Complex Manifold Deformation Theory in 2015.

7.
von Neumann Algebra succeeds from 1 to 4. 2's Generation Theorem was written in April 2008. After von Neumann AlgebraFunctional Analysis was written. 2's Generation of Word 's result is directly connected to Quantum Theory for Language's mathematical background.

8.
From 2008 I frequently used Zoho site because of easily writing by mathematical equation system. Complex Manifold Deformation Theory was the first result of Zoho. At Floer Homology Language some complementary fruits were gotten for Quantum Theory, Homology Generation of Language in June 2009 and Homology Structure of Word also in June 2009.

9.
Algebraic geometry had been consistently flowing in Quantum Theory.
Recently written Connection between early paper's quantum and recent paper's geometry, November 2017 summarizes the situation at that time concisely.

10.
Quantum Theory's time series representative is the following.
(1)
(2)
(3)

11.
Basis of On Time Property Inherent in Characters 2003, Manuscript of Quantum Theory for Language 2003 and Quantum  Theory  for Language 2004 are all led by Qing Dynasty's linguistic (Xiaoxue) tradition, especially from WANG Guowei, whose influence is written at The Time of WANG Guowei in December 2011.

12.
In 1970s at my age 20s, while I had read WANG Guowei, also read Ludwig Wittgenstein, from whom I narrowly learnt writing style that was maintained through early papers. On Wittgenstein I wrote The Time of Wittgenstein in January 2012. Especially written essayFor WITTGENSTEIN Ludwig Position of Language intermittently wrote from December 2005 to August 2012.    

13.
WANG Guowei taught me the micro phase of language and Edward Sapir taught me the macro phase of language. His book,  Language 1921 shows us the conception of language's change system, Drift. I ever wrote 
some essays on him and his book titled Flow of Language in September 2014.
On Edward Sapir I recently wrote a essay titled Edward Sapir gave me a moment to study language universals together with Sergej Karcevskij  in July 2017

14.
I met again with CHINO Eiichi in 1979, from whom I learnt almost all the contemporary linguistics' basis, because of my bias to Chinese historical linguistics ( Xioxue) and Japanese classical phonology in characters. Reunion with CHINO was written at a essay titled Fortuitous Meeting What CHINO Eiichi Taught Me in the Class of Linguistics in December 2004. Also wrote Under the Dim Light in August 2012, CHINO Eiichi and Golden Prague in June 2014, Coffee shop named California in February 2015 and Prague in 1920s in April 2016.

15.
CHINO Taught me the existence of Linguistic Circle of Prague and Sergej Karcevskij  at Prague in 1920s. I wrote Linguistic Circle of Prague in July 2012 and also wrote on Karcevskij, Gift from Sergej Karcevskij in October 2005, Sergej Karcevskij, Soul of Language in November 2012Follower of Sergej Karcevskij in November 2012  Meaning Minimum On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi in April 2013 and For KARCEVSKIJ Sergej from time to time.

16.
In 1970s, I also learnt mathematics for applying to describe language's minute situation. I had thought that language had to be written clear understanding form for free and precise verification going over philosophical insight. When set theory led by Kurt Godel was raised its head to logical basis, I was also deeply charmed by it. But even if  fully using it, language's minute situation seemed to be not enough to write over clearly by my poor talent. The circumstance was written titled Glitter of youth through philosophy and mathematics in 1970s in March 2015. .

17.
One day when I found and bought Bourbaki's series Japanese-translated editions, which were seemed to be possibility to apply my aim to describe language's situation. But keeping to read them were not acquired  at that time. So I was engrossed  in Chinese classical linguistics achieved in Qing dynasty, typically DUAN Yucai, WANG Niansun, WANG Yinzhi and so forth. The days were written as  The Time of Language Ode to The Early Bourbaki To Grothendieck.

18.
Algebraic geometry began from von Neumann AlgebraAfter these days, Zoho time came to me. Its first result is shown as the title Complex manifold Deformation Theory in 2008. Distance of Word in November 2008 is a mathematical conclusion of Distance Theory in May 2005. Zoho's main papers were seen at the site Sekinan Zoho.

19.
Distance Theory has some derivations towards physical phases in my thought. Distance Theory Algebraically Supplemented Brane Simplified Model was written in October-November 2007. Each paper is the following.

Distance Theory Algebraically Supplemented
Brane Simplified Model
Bend
Distance <Direct Succession of Distance Theory>
S3 and Hoph Map 

Physics was one of the most fantastic fields in high school days. I ever wrote the days of yearning for physics and after that. Perhaps Return to Physics in April 2014, Winding road to physics in January 2015, Thanks to physics about which I ever dreamt in my future in April 2015, 

20. 
After 2008 at Zoho sites, mathematics based language papers were successively written aiming clearer definition. Zoho's annual papers are shown at Sekinan Zoho'Zoho by year from 2008 to 2013. While I continued writing papers, my aim was gradually changed to confirm language's basis through mathematical, especially algebraic geometrical description by language models a little parting from natural language. The circumstances behind confirmation was written at Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague in October 2013 and 40 years passed from I read WANG Guowei in November 2013.

21. 

Sunday, 14 January 2018

Disposition of Language / With supplement


Disposition of Language

TANAKA Akio

Language probably possesses the disposition not to disturb the thinking of human being.
Now  I cannot find any clue for entering this difficult theme. What I  know is that I can show some examples for the wonder of the disposition of language as the following.
Notation mark # shows the mathematical approach to the themes.
..............................................................................................................

Chinese classical writing form is one variation of vast forms of languages. It is strictly depending the disposition as the following.
<Wo ai ni.> means <I love you.>
The upper example shows the strict direction rule to read from left to right.
If this rule is neglected and the below example to read from right to left,
<Ni ai wo.> means <You love me.>

Disposition 1.
Language has direction.

I ever wrote a trial paper titled "Direction" in 2004, that is dedicated to Sergej Karcevskij.


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

Language frequently shows True-false problem like "The Crete's lie".
The details are shown at the papers in SRFL's library.

Disposition 2.
Language has dimension.

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

Language is said to be changeable like "old meaning" and "new meaning".
If this changeability be true, from where one meaning becomes "old" and becomes "new".
This situation hints me the existence of basic point in language. In the papers so far, the same concept is called standstill point.

Disposition 3.
Language has basic point.



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

At Disposition 3. the difference between "old meaning " and "new meaning" is supposed to be shown by the distance from the basic point.

Disposition 4.
Language has distance.
................................................................................................................

From the concepts of basic point and distance, the concept of reversion is proposed. One place has a certain distance from the basic point and the direction from the place to the basic point occurs the concept reversion.

Disposition 5,
Language has reversion.

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

Language's disposition seems to be macro rule but also shows the phases of the micro rule like the description of "meaning"at Disposition 4. The example is the following.

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

Results till present

Disposition  shows the clear and linear development of human thinking from the so called chaos situation of human brain's inner events. But I do not deal with the situation related with inner events. I only deal with the outer and statistic situation being accomplished as language. Several concepts in mathematics are probably useful to describe the disposition, such as oriented, dimension, cardinal point, distance  and so forth. Some phases have been studied using mainly algebraic algebra at the Zoho sites of SRFL. Details are shown at the below. 


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

Study after this

I would challenge Disposition 1. Direction because this field seems to be related with group theory, especially with finitely generated group and its surroundings or development, for example Bers-Thurston conjecture, "All the infinitely generated Klein group is algebraic limit of geometrical infinite group".



Tokyo

12 September 2014


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Supplement 


[Reference added, 15 September 2014]
[Text added, 16 September - 18 September 2014]
      Text for reversion and Disposition 5 Language has reversion. are added.

[Papers added, 18 September 2014]
       Papers related with Disposition 3 Basic Point and Disposition 4 Distance are added.

[Reference added, 21 September 2014]
       Paper related with Disposition 4 Distance is added.


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Saturday, 13 January 2018

Notes for KARCEVSKIJ Sergej



  1. Notes for KARCEVSKIJ Sergej, "Du Dualisme asymétrique du signe linguistique"
  2. Description of Language
  3. Structure of Word
  4. Condition of Meaning


The papers on this site have been published by Sekinan Research Field of Language.
 2011 by 
The Sekinan Research Field of Language

Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique"


A language model is made for a solution of KARCEVSKIJ's paper.
<Proposition>
Manifold M has quadrant homology connection.
Cup product map

is null map.
If M is the upper situation, the fundamental group of M contains the free group of rank b1(M) as the partial group.
b1(M) = dimH1(M;R)
<Interpretation>
Language is given by manifold M.
Word is given by fundamental group of M.
Mobile part of word is given by partial group, the free group of rank b1(M).
The details of the proposition and the interpretation are described at the other papers of Notes for KARCEVSKIJ Sergej.

Tokyo
September 8, 2011
Sekinan Research Field of Language 

Being led by Karcevskij's conjecture Reference added

Being led by Karcevskij's conjecture

TANAKA Akio

12 December 2018

Abstracted and revised from
Karcevskij conjecture 1928 and Kawamata conjecture 2002
Tokyo
25 May 2016

SRFL Theory



Sergej Karcevskij declared a conjecture for language's asymmetric structure on the TCLP of the Linguistic Circle of Prague in 1928. I briefly wrote about the conjecture as the following.

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

Prague in 1920s, The Linguistic Circle of Prague and Sergej Karcevskij's paper "Du dualisme asymetrique du signe linguistique"

From Print 2012, Chapter 18


Non-symmetry. It was the very theme that I repeatedly talked on with C. Prague in 1920s. Karcevskij's paper "Du dualisme asymetrique du signe linguistique" that appeared in the magazine TCLP.  Absolutely contradicted coexistence between flexibility and solidity, which language keeps on maintaining, by which language continues existing as language.  Still now there will exist the everlasting dual contradiction in language. Why can language stay in such solid and such flexible condition like that. Karcevskij proposed the duality that is seemed to be almost absolute contradiction. Sergej Karcevskij's best of papers, for whom C called as the only genius in his last years' book Janua Linguisticae reserata 1994. 

Source: 
  1. Tale / Print by LI Koh / 27 January 2012  

Reference:
  1. Fortuitous Meeting, What CHINO Eiichi Taught Me in the Class of Linguistics / 5 December 2004 
Reference 2:
  1. Linguistic Circle of Prague / 13 July 2012 - 19 July 2012
References 3:
  1. Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique" / 8 September 2011
  2. Condition of Meaning / 11 September 2011
References 4:
  1. Dimension of Language / 4 September 2013
  2. Synthesis of Meaning and Transition of Dimension / 6 September 2013
Reference 5:
  1. Reversion Conjecture Revised / 1 May 2014 - 20 May 20

[Note, 2 October 2014]
In this Tale, Print 2012, C is CHINO Eiichi who was the very teacher in my life, taught me almost all the heritage of modern linguistics. I first met him in 1969 at university's his Russian class as a student knowing nothing on language study.
  1. From Distance to Pseudo-Kobayashi Distance / 5 February 2012

Tokyo
23 February 2015
SIL

....................................................................................................................................
This asymmetric duality of linguistic sign presented by Karcevskij has become the prime mover for my study from the latter half of the 20th century being led by my teacher CHINO Eiichi.
But the theme was very hard even to find a clue. The turning point visited after I again learnt mathematics especially algebraic geometry in 1980s. 
In 2009 I successively wrote  the trial papers of the theme assisted by several results of contemporary mathematics. The papers are the following.
......................................................................................................................................

 
Tokyo
8 September 2011 - 11 September 2011 
sekinanmetria

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

[Reference]



Tokyo
13 January 2018