SEKINAN LIBRARY / THEORY / Theory 2003 - 2016

SEKINAN LIBRARY THEORY

Theory  2003 - 2016

2003

1. On Time Property Inherent in Characters

2004

1. Quantum Theory for Language
2. Distance Theory
3. Prague Theory
4. Reversion Theory
5. Mirror Theory
6. Mirror Language
7. Guarantee of Language
8. Property of Quantum
9. Quantification of Quantum
10. Actual Language and Imaginary Language
11. Guarantee of language
12. Place where quantum of language exists
13. Actual language and imaginary language
14. Property of quantum
15. Quantification of quantum  
16. Direction
17. Uniformity

2005

1. Changeability
2. Individuality
3. Time
4. Fixation
5. Grammar
6. Substantiality
7. Frame
8. Recognition
9. Ideogram
10. Conversation
11. Descriptiveness
12. Lineation
13. System
14. Automaton
15. Vector

 2007

1. Algebraic Linguistics

2008

1. CLifford Algebra
2. Energy Distance Theory
3. Functional Analysis
4. Holomorphic Meaning Theory
5. Kac-Moody Lie Algebra 
6. Operator Algebra
7. Reversion Analysis Theory
8. Stochastic Meaning Theory
9. von Neumann Algebra
10. Complex Manifold Deformation Theory 

2009

1. Complex Manifold Deformation Theory
2. Language Manifold Theory
3. Topological Group Language Theory
4. Symplectic Language Theory
5. Floer Homology Language
6. Arithmetic Geometry Language

2011

1. Imaginary Language
2. Notes for KARCEVSKIJ Sergej
3. Time of WANG Guowei
4. Stable and Unstable of Language

2012

1. Projective Space Model
2. Diophantine Language
3. Hyperbolic Language
4. Grassmann Language
5. Grassmann Language 2
6. Birational Language
7. Dual Language
8. Infinite Loop Space Language

2013

1. Homotopy Language         
2. Operad Meaning Theory
3. Arithmetic Geometry Language 2

2014

1.  Algebraic Geometry Language 

2015

1. Flow, Time and Dimension of Language
2. Energy of language

2016

1. Derived Category Language

Read more: http://srfl-paper.webnode.com/news/language-between-sergej-karcevskij-and-string-theory-one-centurys-trace-book-and-paper-index-edition/

Early summer 2017

Bank of Murayama Dam

Sayama Hills, Tokyo

SEKINAN LIBRARY / FRESH

SEKINAN LIBRARY

FRESH

June 2017

1. The Days of Ideogram
2. Language and I
3. Simone Weil's LA PESANTEUR ET LA GRACE again
4. THE ROAD TO REALITY A Complete Guide to the Laws of the Universe,
   2005 by Roger Penrose
5. True-false problem of the Crete
6. Macro Time and Micro Time
7. Bridge across mathematics and physics / Revised
8. Karcevskij conjecture 1928 and Kawamata conjecture 2002
9. Roman Jakobson
10. The First Paper on Inherent Time in Word

July 2017

1. Genealogical Tree of Sekinan's Paper Sixth Edition
2. Derived Category Language 3. Language stability and triangulated category
3. Kontsevich's conjecture. Category theoretic mirror symmetry conjecture
4. The comparison between 2003 and 2017.
   From Chinese character's meaning structure
   to Homological algebraic model of language universals
5. Additional meaning and embedding
6. Derived Category Language
7. Homology Language

Sayama Hills, Tokyo

Tokyo
17 July 2017
Sekinan Library

The comparison between 2003 and 2017. Update edition

The comparison between 2003 and 2017.From Chinese character's meaning structure to Homological algebraic model of language universals 

TANAKA Akio

1. Between 2003 and 2017

In 2003 I wrote a paper that showed meaning's inner structure of Chinese characters.
The paper was based on Chinese character's old form, Jaguwen, Chinese inscriptions on animal bones and tortoise carapaces that was first found at Henan-sheng, China in 1999. I wrote the paper mainly depending on WANG Guowei's work. My paper is the following.

• On Time Property Inherent in Characters. 28 March 2003 

In this 2017 I wrote a related paper with the 2003's paper, which mainly focused on ideogram's general purpose property from hieroglyph to LATEX symbols. My paper is the next.

• The Days of Ideogram. 20 April 2017

2. From philology to algebra
The 2003 paper is on the continuation of Qing Dynasty's classical philologists in China.
The 2017 paper is on the extension of Category theory's homological approach.




3. From intuitive to definitive
The 2003 is not openly used mathematical approach, as a result  writing style is considerably intuitive.
The 2017 is also intuitive, but in its base, more sufficient mathematical data in the 17 year study result. The most recent work is Derived Category Theory. The theory is at the next.

• Derived Category Language

Now the  upper two papers, the 2003 and the 2017 and their related papers are seen at Sekinan Paper and Sekinan Theory.

• Sekinan Paper
• Sekinan Theory

4. Starting place
The new theory is now being prepared for more mathematical-descriptive expression titled Homology Language.Starting place is at the following papers.

• Karcevskij conjecture 1928 and Kawamata conjecture 2002
• Language stability and triangulated category

5. Gist of  Homology Language

 The fundamental essences are the next.

(1)

Set is defined as Universe which can avoid set theory's contradiction.
(2)

Set is considered as Category which can get back to all the concepts to Object and Morphism.
(3)

Topological space is considered as Homology which can get back all the work to algebra.
(4)

Language model is considered as Sheaf which can past functions to the more big function.
(5)

Language can take Contractible which can describe free concepts as meaning.  

6. Aim of Homology Language

(1)
Language will get near to finite generative a little alike natural language.
Fundamental work was done at the next from set theory but not definitive as universe. 

• von Neumann Algebra 2 Note Generation Theorem

(2)

Category theory seems to be a one-step-up stage to write on language from the days of Maclane Saunders. Refer to the next.

• Topological Semantics. Torus Chain. For MAC LANE Saunders
  
• Language and Spacetime. Word Containing Time and 4 Dimensional Sphere. Dedicated to MAC LANE Saunders
  
• Language and Spacetime. Structure of Word. From KARCEVSKIJ to MACLANE
• For MAC LANE Saunders. Categorical Approach toward Language
  

(3) Homological approach
In 2009 I wrote a trial papers titled Floer Homology Language. Still now the papers are important for my study.

Floer Homology Language
   |
   Potential of Language
   Supersymmetric Harmonic Oscillator
   Grothendieck Group
   Reversibility of Language
   Homology Generation of Language
   Homology Structure of Word
   Quantization of Language
   Discreteness of Language


In Floer Homology Language, the next two papers will become the guidepost for new theory Homology Language. 

•   Homology Generation of Language
•   Homology Structure of Word

(4) Symplectic algebra
Symplectic algebra is one of the most fantastic fields of the contemporary mathematics.
I also ever wrote simple invitational papers for applying to language universals.
The papers are next.

Symplectic Language Theory
     |
     Symplectic Topological Existence Theorem     
     Gromov-Witten Invariant     
     Mirror Symmetry Conjecture on Rational Curve     
     Isomorphism of Map Sequence     
    Generating Function  
    Homological Mirror Symmetry Conjecture by KONTSEVICH
    Structure of Meaning
    On Structure
In the papers, The next contains the update result of homological approach.

• Homological Mirror Symmetry Conjecture by KONTSEVICH

(5) Bridge to resolve
Relationship between symplectic geometry and derived category shows the realization of clearer description on  language.universals Because for my part, Symplectic Language Theory and Floer Homology Language seems to be the nearest way to resolve the hardship of natural language's inner structure.
The details are the next.

• Additional meaning and embedding

(6) SymmetryThe concept called symmetry is very important to describe the complex situation of natural language.
Symmetry contains undifferentiated factors in itself, for example mirror, distance,ant-world and so forth.
I ever tried to cultivate this fantastic field to resolve the hardship on language universals one more step up. 
My trying paper is the following.

• Mirror Theory
• Mirror Language

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

This paper in unfinished.

Tokyo

6 July - 9 July 2017

Sekinan Library

The comparison between 2003 and 2017. From Chinese character to Homological model of language universals

The comparison between 2003 and 2017.
From Chinese character's meaning structure to Homological algebraic model of language universals 

TANAKA Akio

1. Between 2003 and 2017

In 2003 I wrote a paper that showed meaning's inner structure of Chinese characters.
The paper was based on Chinese character's old form, Jaguwen, Chinese inscriptions on animal bones and tortoise carapaces that was first found at Henan-sheng, China in 1999. I wrote the paper mainly depending on WANG Guowei's work. My paper is the following.

• On Time Property Inherent in Characters. 28 March 2003 

In this 2017 I wrote a related paper with the 2003's paper, which mainly focused on ideogram's general purpose property from hieroglyph to LATEX symbols. My paper is the next.

• The Days of Ideogram. 20 April 2017

2. From philology to algebra
The 2003 paper is on the continuation of Qing Dynasty's classical philologists in China.
The 2017 paper is on the extension of Category theory's homological approach.




3. From intuitive to definitive
The 2003 is not openly used mathematical approach, as a result  writing style is considerably intuitive.
The 2017 is also intuitive, but in its base, more sufficient mathematical data in the 17 year study result. The most recent work is Derived Category Theory. The theory is at the next.

• Derived Category Language

Now the  upper two papers, the 2003 and the 2017 and their related papers are seen at Sekinan Paper and Sekinan Theory.

• Sekinan Paper
• Sekinan Theory

4. Starting place
The new theory is now being prepared for more mathematical-descriptive expression titled Homology Language.Starting place is at the following papers.

• Karcevskij conjecture 1928 and Kawamata conjecture 2002
• Language stability and triangulated category

5. Gist of  Homology Language

 The fundamental essences are the next.

(1)

Set is defined as Universe which can avoid set theory's contradiction.
(2)

Set is considered as Category which can get back to all the concepts to Object and Morphism.
(3)

Topological space is considered as Homology which can get back all the work to algebra.
(4)

Language model is considered as Sheaf which can past functions to the more big function.
(5)

Language can take Contractible which can describe free concepts as meaning.  

6. Aim of Homology Language

(1)
Language will get near to finite generative a little alike natural language.
Fundamental work was done at the next from set theory but not definitive as universe. 

• von Neumann Algebra 2 Note Generation Theorem

(2)

Category theory seems to be a one-step-up stage to write on language from the days of Maclane Saunders. Refer to the next.

• Topological Semantics. Torus Chain. For MAC LANE Saunders
  
• Language and Spacetime. Word Containing Time and 4 Dimensional Sphere. Dedicated to MAC LANE Saunders
  
• Language and Spacetime. Structure of Word. From KARCEVSKIJ to MACLANE
• For MAC LANE Saunders. Categorical Approach toward Language
  

(3) Homological approach
In 2009 I wrote a trial papers titled Floer Homology Language. Still now the papers are important for my study.

Floer Homology Language
   |
   Potential of Language
   Supersymmetric Harmonic Oscillator
   Grothendieck Group
   Reversibility of Language
   Homology Generation of Language
   Homology Structure of Word
   Quantization of Language
   Discreteness of Language


In Floer Homology Language, the next two papers will become the guidepost for new theory Homology Language. 

•   Homology Generation of Language
•   Homology Structure of Word

(4) Symplectic algebra
Symplectic algebra is one of the most fantastic fields of the contemporary mathematics.
I also ever wrote simple invitational papers for applying to language universals.
The papers are next.

Symplectic Language Theory
     |
     Symplectic Topological Existence Theorem     
     Gromov-Witten Invariant     
     Mirror Symmetry Conjecture on Rational Curve     
     Isomorphism of Map Sequence     
    Generating Function  
    Homological Mirror Symmetry Conjecture by KONTSEVICH
    Structure of Meaning
    On Structure
In the papers, The next contains the update result of homological approach.

• Homological Mirror Symmetry Conjecture by KONTSEVICH

(5) Bridge
Symplectic geometry and derived category may connect through Fukaya category.
The details are the next.

• Additional meaning and embedding

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

This paper in unfinished.


Tokyo
6 July - 8 July 2017
Sekinan Library

Simone Weil's LA PESANTEUR ET LA GRACE again

Simone Weil's  LA PESANTEUR ET LA GRACE  again

TANAKA Akio

Simone Weil's  LA PESANTEUR ET LA GRACE, Japanese translated edition has been published in March 2017. 

What I first knew her name  was probably  in the high school days. The book was the simple biography.
After entering the university, I first totally read this book that gave me the deep impact on life and belief.
In the same time I read Wittgenstein's Tractatus Logico-Philosophicus which also  affected me great influence thinking of language.

Simone Weil taught me the importance of verticality, gravity downwards and grace upwards.
And now I have been newly taught algebra's holizontality.

She keeps on asking me " To where do you go ?  With what do you take?"
For the present I will go to universality and take with algebra.
But the road is far ahead or very high above, probably in eternal gravity.  

Juryoku to Oncho. 

Translated by FUKUHARA Mayumi. 2017. Iwanami Shoten Publishers.

Simone Weil's  LA PESANTEUR ET LA GRACE, 1947 Japanese translated edition.

References

• Enchanted with language and mathematics

1. Andre Martinet
2. Charles Bally 
3. Read Andre Weil 
4. Bourbaki' ELEMENTS DE MATHEMATIUE Troisieme edition, 1964 
5. The Time of Language Ode to The Early Bourbaki To Grothendieck  Note added 

• Wandering between language and philosophy    

1. For WITTGENSTEIN Revised / Position of Language / 10 December 2005 - 3 August 2012
2. The Time of Wittgenstein /20 January 2012
3. Citation from Ludwig Wittgenstein / 7 February 2012
4. THE ROAD TO REALITY A Complete Guide to the Laws of the Universe, 2005 by Roger Penrose / 25 October 2012       

• Winding road to physics

1.     Now I am Enough Old for Remembering the Past / 27 September 2012
2.     To my dear friend, KANEKO Yutaka / 22 May 2013
3.     Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague / 23 October 2013 
4.     Perhaps Return to Physics /16 August 2014

Tokyo
28 June 2017Sekinan Library

The First Paper on Inherent Time in Word

The First Paper on Inherent Time in Word

In 2003 I wrote a paper which shows the inherent time in word, titled On Time Property Inherent in Characters.
In those days I frequently looked upon the reading on linguistic history of Chinese characters. Qing dynasty is like a sitting sun delight with classical study of Chinese Classics.

In October 2002, I contracted pneumonia and entered a hospital two weeks. At the hospital pneumonia smoothly recovered to usual health. So I thought on my study life and my main target of language at the free time. From the hospital's window the Okutama Mountains were always clearly seen. Seeing the mountains, I gradually determined that the research must be led by clear description, not by traditional style of historical language study.

But my study was mainly put on WANG Guowei's style until then. His life work, Quangtangjilin is the only book in my life. Then at the hospital bed, I confirmed that my study was mixed to clear description and traditional WANG's work.

In March 2003, I stayed at Hakuba, Nagano for tasting the passing wintry season’s landscape. At the place,  I suddenly floating up an idea of language study that word has time in it and that time and meaning are all shaped to be elements. At the result I finished the paper, On Time Property Inherent in Characters.

Reference
On Time Property Inherent in Characters / 28 March 2003

Read more: http://srflnote.webnode.com/news/the-first-paper-on-inherent-time-of-word-atsrfl/

Tokyo
2 July 2017
Sekinan Library