Wednesday 31 December 2014

5W1H in 2014, but now not completed / 31 December 2014

5W1H in 2014, but now not completed
Tokyo
31 December 2014
SILnote 

[Essay added, 1 January 2015]


For viewers in 2014. Many thanks / 31 December 2014

For viewers of this site

TANAKA Akio

Year 2014 will be soon over now.
For viewers of this site, SRFL News, I would like to thank for reading my essays and papers.
I live at the west of Tokyo and learning on language every day.
My papers are almost trial or uncompleted ones by my immature career.
So many thanks to the viewers.
May the next year 2015 be happy to all.

From my garden gate in spring
The days became a bit longer after the winter solstice. 

If we have not language, how  do we tell the coming year now not existing?


Tokyo
31 December 2014
SILnote

Monday 29 December 2014

For WITTGENSTEIN Ludwig Revised with Symplectic Language Theory and Floer Homology Language / 29 December 2014

For WITTGENSTEIN Ludwig Revised
Position of Language

TANAKA Akio
                          
1  Quantization  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 minimum ,  mirror language  and  mirror symmetry  are inevitable approach to the study of language especially for  language universals .
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 Model  of Language Universals     will be shown by the description of mathematics.

[References]
0 .  WITTGENSTEIN Ludwi g
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
Tokyo December 8, 2014 Reprinted

[Comparison with First edition]

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

Symplectic Language Theory

  1. Symplectic Topological Existence Theorem 
  2. Structure of Meaning

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

Floer Homology Language

  1. Potential of Language       
  2. Supersymmetric Harmonic Oscillator 
  3. Grothendieck Group   ​ 
  4. Reversibility of language
  5. Homology Generation of Language 
  6. Homology Structure of word 
  7. Quantization of Language
  8. Discreteness of Language

Note

Wednesday 24 December 2014

Duality of Language, Relation between Dimension and Boundary / 25 May 2012

Duality of Language

q.v. Dual Language. Zoho Paper 3. SIL


TANAKA Akio



1. Theorem(Poincaré duality)
For oriented compact n-dimension topological manifold M,
biliear form

is exact,
 and  become dual space each other.

2. Interpretation
Word := MBoundary of language := pDual language :=  and Language := 

3. Explanation
Word is compact and has dimension.
Language has dimension.
Language has boundary.
Boundary makes dual language.
4. References
Distance Theory
Mirror Theory
Guarantee of Language
Tokyo
25 May 2012
SRFLZoho

Tuesday 23 December 2014

Dimension of Word, Arithmetic Geometry Language (2012 edition) / 24 December 2012

Arithmetic Geometry Language (2012 edition)


Dimension of Word

TANAKA Akio
24 December 2012

1. 
Theorem by C. Soulé, Lectures on Arakelov Geometry, 1992. 
 is morphism between regular arithmetic varieties.
 is pullback.
When  are morphism between regular arithmetic varieties, the next is concluded.
 .

2.
Interpretation of the upper theorem.
Word : .
Decomposition of word : , named pullback.
Decomposed meaning unit in word :  and .
3.
Pullback is defined by the next from Efton Park, Complex Topologicak K-Theory, 2008.

Let  and be topological spaces, let  be avector bundle over , and suppose  is a continuous map,
Define

4.
Interpretation of theupper theorem 2.
Word can be deposed to meaning units by pullback.
Meaning unit also become pullback.

5.
Pullback contains order function ord.
ord contains length.
Here length is longitude of composition series.
Here composition series is defined by the next.

A is commutative ring.
M is A module.
If A be field,  is M's dimension over A.

6.
From 5. leads the next supposition.
When word is decomposed to meaning unit, each unit has dimension that determines word's dimension.

#Here ends the paper.

Monday 22 December 2014

Substantiality, Dedicated to SAPIR Edward / 27 February 2005


Substantiality

Dedicated to SAPIR Edward

TANAKA Akio


1 Substance of language is completion which possesses the distance from the real world.
2 The distance is sustained by the fixation for which meaning and time are abstracted.
3 If language has not distance, language appears and disappears following the real world proceeding.
4 Language is substantially unchangeable. Changeability occurs on surrounding.
5 The distance is measured by the longitude from the real world to the substantiality that meaning and time possess.
6 Substantiality is a frame of language.
7 Substantiality is free from the real world.
8 Substantiality is powered by outer energy.
9 Powered substantiality moves complied with possessed command, namely meaning and time.
10 Powered moving substantiality of language is called <quantum>.
11 The idea of quantum is partially realized by <bar code system> in the supermarket or bookstore.
12 Substantiality is bar code of can or book. Outer energy is bar code reader. Quantum moves in a cash register. Language generates price addition in the real world.
13 Bar code is not language. Bar code is substantiality of language. Bar code does not move by itself. When bar code reader becomes energetic, bar code generates <quantum> in a cash register. Language, namely, price-additional-work, starts at bookstore of station front in the bustling evening.    

Tokyo February 27, 2005
For the Memory of Tanashi Station Front Street February 26, 2005
Sekinan Research Field of Language

Macro Time and Micro Time / 24 July 2013

Macro Time and Micro Time

TANAKA Akio

24 July 2013

atbankofdam

1. 
Through natural language, in human being, occurred the electrical signal by eye or ear. These complex situations are beyond this paper’s limits.
2. 
Language is a physical object as signal and its transmission. At this circumstanstances, langauge must be recognised to be the existence that has finite time.
3. 
An apple on the desk gradually becomes rotten by passing the time very after the crop in the orchard. #0
4.
Like an apple, language has passing physical time in oneself.
5. 
Language is metamorphosed  by the time progressing.  #1
6. 
Language includes the outer world from human being to universe. At this declaration, I recall Blaise Pascal’s Pensées. XXXIII. PROOFS OF JESUS CHRIST 308 The infinite distance between body and mind symbolizes the infinitely more infinite distance between mind and charity, for charity is supernatural.(Translated by A.J. Krailsheimer, 1966) #2
7. 
Language’s time goes freely from the present to the future or the present to the past. #3
8. 
Language symbolises the time from finiteness to infinity. #4
9. 
Human being recognises this vast language world perfectly. #5

References
#0 For WITTGENSTEIN Ludwig Position of Language / December 10, 2005 – August 3, 2012 / Sekinan Research Field of Language
#1 Time of Word / Complex Manifold Deformation Theory / January 1, 2009 / sekinanlogos
#2 PASCAL PENSÉES. Translated with an introduction by A.J. Krailsheimer. PENGUIN BOOKS 1966.
#3 Escalator language and Time For SHINRAN’s Idea and BOHDISATTVA / Escalator Language Theory / December 16, 2006 / Sekinan Research Field of Language
#4 From Finiteness to Infinity on Language / Topological Group Theory / February 1, 2009 / sekinanlogos
#5 Understandability of Language / Complex Manifold Deformation Theory /January 9, 2009 / sekinanlogos
…………………………………………………………………………………………………………………..

Sunday 21 December 2014

Why is boundary necessary in language? / 21 December 2014

Why is boundary necessary in language?
q.v. Boundary of Words ​/ 12 February 2009

TANAKA Akio

1.
I have thought on language as a physic existence that has inevitably boundary to the outer world.
My question is simple and primitive. I ever wrote about the change of language - If there be change, there are exactly the situations before change and after change. Just where does changing substance exist? In the essay, rotten apple was used as the symbol of changing language.
.......................................................................................................................................

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 home-maker.
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 
...........................................................................................................................................

2.
Language&s substantiality has been considered since I returned to the mathematical approach for learn language universals from the utterly beginning. In 2005 I wrote a tiny trial paper on the substantiality of language for thinking the study course hereafter.

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



Substantiality

Dedicated to SAPIR Edward

TANAKA Akio


1 Substance of language is completion which possesses the distance from the real world.
2 The distance is sustained by the fixation for which meaning and time are abstracted.
3 If language has not distance, language appears and disappears following the real world proceeding.
4 Language is substantially unchangeable. Changeability occurs on surrounding.
5 The distance is measured by the longitude from the real world to the substantiality that meaning and time possess.
6 Substantiality is a frame of language.
7 Substantiality is free from the real world.
8 Substantiality is powered by outer energy.
9 Powered substantiality moves complied with possessed command, namely meaning and time.
10 Powered moving substantiality of language is called <quantum>.
11 The idea of quantum is partially realized by <bar code system> in the supermarket or bookstore.
12 Substantiality is bar code of can or book. Outer energy is bar code reader. Quantum moves in a cash register. Language generates price addition in the real world.
13 Bar code is not language. Bar code is substantiality of language. Bar code does not move by itself. When bar code reader becomes energetic, bar code generates <quantum> in a cash register. Language, namely, price-additional-work, starts at bookstore of station front in the bustling evening.    

Tokyo February 27, 2005
For the Memory of Tanashi Station Front Street February 26, 2005
Sekinan Research Field of Language

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

3.
In 2013, I again wrote on the substantiality of language at the new level containing the determinate essence of language, dimension and  time.  The title is Macro Time and Micro Time. In this paper I thought that dimension is the essential factor of meaning, especially containing Infinitive meaning.

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

Macro Time and Micro Time

TANAKA Akio

24 July 2013

atbankofdam
1. 
Through natural language, in human being, occurred the electrical signal by eye or ear. These complex situations are beyond this paper’s limits.
2. 
Language is a physical object as signal and its transmission. At this circumstanstances, langauge must be recognised to be the existence that has finite time.
3. 
An apple on the desk gradually becomes rotten by passing the time very after the crop in the orchard. #0
4.
Like an apple, language has passing physical time in oneself.
5. 
Language is metamorphosed  by the time progressing.  #1
6. 
Language includes the outer world from human being to universe. At this declaration, I recall Blaise Pascal’s Pensées. XXXIII. PROOFS OF JESUS CHRIST 308 The infinite distance between body and mind symbolizes the infinitely more infinite distance between mind and charity, for charity is supernatural.(Translated by A.J. Krailsheimer, 1966) #2
7. 
Language’s time goes freely from the present to the future or the present to the past. #3
8. 
Language symbolises the time from finiteness to infinity. #4
9. 
Human being recognises this vast language world perfectly. #5

References
#0 For WITTGENSTEIN Ludwig Position of Language / December 10, 2005 – August 3, 2012 / Sekinan Research Field of Language
#1 Time of Word / Complex Manifold Deformation Theory / January 1, 2009 / sekinanlogos
#2 PASCAL PENSÉES. Translated with an introduction by A.J. Krailsheimer. PENGUIN BOOKS 1966.
#3 Escalator language and Time For SHINRAN’s Idea and BOHDISATTVA / Escalator Language Theory / December 16, 2006 / Sekinan Research Field of Language
#4 From Finiteness to Infinity on Language / Topological Group Theory / February 1, 2009 / sekinanlogos
#5 Understandability of Language / Complex Manifold Deformation Theory /January 9, 2009 / sekinanlogos
........................................................................................................................................

4. 
Boundary is related with dimension through  Poincaré Theorem. Details are next.

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

Dual Language

Duality of Language

TANAKA Akio

1. Theorem
(Poincaré duality)
For oriented compact n-dimension topological manifold ,
biliear form

is exact,
   and      become dual space each other.
♦ 
2. Interpretation
Word :=   Boundary of language :=   Dual language :=      and    Language :=   
3. Explanation
Word is compact and has dimension.
Language has dimension.
Language has boundary.
Boundary makes dual language.

4. References
Distance Theory 
Mirror Theory 
Guarantee of Language
Tokyo
25 May 2012
Sekinan Research Field of Language

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

5.
Relation between boundary and synthesis in language is utterly unknown field for me. Study has just started from the entrance position. Recent results are the next.

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

Synthesis Conjecture



Conjecture for synthesis of meaning in word 


TANAKA Akio 


Synthesis 
 Conjecture for synthesis of meaning in word 
29/09/2013 19:25
For synthesis of meaning in word,  Conjecture: Condition for synthesis of meaning in word i s proposed by cohomological expression.

2  Conjecture: Condition for synthesis of meaning in word 
29/09/2013 18:38
On condition for synthesis of meaning in word,  at conjecture is proposed  by the next result of etale cohomology.
Result
——————————————————-
Canonical natural equivalence 
The next two are left exact additional functors.
 A   ->  A’  
 A’  ->  A” 
 and  A’  have enough many injective objects.
If   transfers  A’  s injective object to  G  acyclic object, the next canonical natural equivalence is concluded.
 (   O  F  ) =~  RG  O  RF .
——————————————————–
Conjecture
Preparation 
Word is shown by  . This word is called  old word .
Base meaning in word is shown by  .
Word that has base meaning is shown by  RF .
Additional meaning to word is shown by  .
Word that has additional meaning is shown by  RG . This word is called  intermediate word .
Word that has base meaning and additional meaning is shown by   (   O   ). This word is called  new word .
Conjecture 
For completion of new word, old word and intermediate word have the condition shown by the canonical natural equivalence of etale cohomology. 

3  Canonical natural equivalence 
29/09/2013 18:08
Canonical natural equivalence 
The next two are left exact additional functors.
 A   ->  A’  
 A’  ->  A” 
 and  A’  have enough many injective objects.
If   transfers  ‘s injective object to  G  acyclic object, the next canonical natural equivalence is concluded.
 (   O  F  ) =~  RG  O  RF .

Source:  Conjecture for synthesis of meaning in word / sekinanlatest 2013 

Tokyo 
1 May 2014 
Sekinan Research Field of Language

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

5.
Three Conjectures containing Synthesis Conjecture are shown at the next.These conjectures are the latest result of language universals at SRFL Sekinan Research Field of Language.


Tokyo
21 December 2014
SIL



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

Saturday 20 December 2014

Boundary of Words ​/ 12 Feburary 2009

Boundary of Words   ​

Topological Group Language Theory  
TANAKA Akio  
    
Preliminary Note 3  
Boundary of Words ​
[Theorem] ​
1 ​
Distance space     ( X , d) ​
Gromov product ( y | z ) x ​
2 ​
Hyperbolic space      X ​
point sequence     { x i  X } ​
Set of all the { x i  X }      S ∞ ( X ) ​
Point sequence of  X       { y i }     ​
When { y i } is lim i →∞ ( x i | y i ) = 0, { y i } is in  S ∞ ( X ). ​
[Explanation] ​
1 ​
Hyperbolicity for general distance space is defined by Gromov product. ​
Details are below. ​
2 ​
Distance space is defied by the next.  ​
Distance space that has basic point  x 0        ( X, d ) ​
Arbitrary 3 points of  X         x, y, z ​
When ( X, d ) satisfies the next, it is called  Î´ -hyperbolic. ​
( x | y ) x 0   min{( x | z)x 0 , ( y | z ) x 0 }- Î´ ​
When distance space ( X, d ) is  Î´ -hyperbolic for arbitrary base point,  X  is called  Î´ -hyperbolic. ​
Here for a certain   ,  Î´ -hyperbolic space is abbreviatedly called hyperbolic. ​
3 ​
The next condition is equivalent with what ( X, d ) is  Î´ -hyperbolic. ​
d ( x, y ) +  d ( z, w )    max{  d ( x, z ) +  d ( y, w ),  d ( x, w ) +  d ( y, z ) } +2 Î´ ​
4 ​
Distance space        X ​
Arc of X      Î±  : [0,  Î» ] →  X ​
Arbitrary  s, t   [0,  Î» ] ​
d ( Î± ( s ),  Î± (t)) = | s-t | ​
Arc  Î±  is called geodesic segment. ​
Geodesic segment from x to y that is x,y  X is expressed by   . ​
When arbitrary 2 points of distance space ( X , d) are combinable by geodesic segment,  X  is 
called geodesic space.  xyz  =     is called geodesic triangle. ​
[Impression] ​
1 ​
Word is identified with point sequence { x i  X }. ​
Language is identified with  S ∞ ( X ). ​
New generated word is identified Point sequence of  X , { y i } that has condition lim i →∞ ( x i | y i ) . ​
The new generated word is also in language, that is to say,  S ∞ ( X ). ​
2 ​
From the condition lim i →∞ ( x i | y i ), spherical surface is considered as boundary at infinity by 
the comparison with Poincaré model. ​
3 ​
Spherical surface is considered as the unit of language.  ​
Language's distance and warp is also considered under hyperbolic space. ​
References are below. ​
[References] ​
#1  Quantum Theorey for Language 
#2  Distance Theory 
#3  Warp Theory 
The upper papers and the related papers with the themes are seen at  Sekinan Linguistuic 
Field . ​
To be continued  
Tokyo February 12, 2009  
Sekinan Research Field of Language

Friday 19 December 2014

The days when I was thinking on Energy Distance Theory / 19 December 2014

The days when I was thinking on Energy Distance Theory
q.v. Energy and Distance in Language / 31 August 2008

TANAKA Akio

1.
Around 2008, I was thinking on energy in language related with distance in language. Distance is one of the kernel themes of my study of language universals in those days. In simply saying, distance is the result of movement and for movement there must inevitably needs energy. So I had thought that if language have distance, there must be energy or its alike in language that is supposed in mathematical models. But in my ability in 2008, I could not develop the deep and wide range of language from the theme, energy and distance. So Energy Distance Theory was still now unfinished.

2.
In another approach of my study on language universals, Edward Sapir's Language, 1921 was one of my favourite books between 1970s and early 1980s. In his book, the most fantastic concept for me was Drift, that indicated the vast movement of language system itself.  I ever gave brief account on it.

..........................................................................................................................................
Edward Sapir's Language, 1921 showed me the dynamism of language proposing the concept, drift.
Drift shows us the macro phase of natural language and I was hinted by Sapir's this concept and proposed the micro phase of natural language. The paper "Quantum Theory for Language" is my first total proposal paper describing the natural language's model.

Reference
Substatiality Dedicated SAPIR Edward / 27 February 2005

Tokyo
5 September 2014
Sekinan Research Field of Language 
..............................................................................................................................................

3.
My language study started from the reading of Old China's Qing dynasty's huge linguistic inheritance, "Xiaoxue", in English Small Study , that is contrary to the name, the most basic and difficult study of classical texts of old China. I particularly loved the books written by WANG Guowei and WANG Yinzhi and DUAN Yucai.
The main book list to which I referred in those days between the age 20s and 40s are shown  at the next.


Especially I was enchanted with WANG Guowei's work, whose selected papers' title was Guantangjilin. For him I wrote a short essay as below.

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

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

4.
After all,Energy Distance Theory ended in the half-finished situation. But now I still eager to write and develop the papers on energy and distance. The road is long and winding as ever. I always accustomed to delay and stagnate. Some rays of light is emitting in the small study room of mine.


Tokyo
19 December 2014
SIL