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 ¹  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 ² ,  mirror language ³  and  mirror symmetry ⁴  are inevitable approach to the study of language especially for  language universals ⁵ .
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 s  of Language Universals   6   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

SIL

[Comparison with First edition]

For WITTGENSTEIN Ludvig. First edition / 10 December 2005

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Symplectic Language Theory

1. Symplectic Topological Existence Theorem 
2. Gromov-Witten Invariantational Curve
3. Mirror Symmetry Conjecture on Rational Curve   ​ 
4. Isomorphism of Map Sequence  
5. Homological Mirror Symmetry Conjecture by KONTSEVICH 
6. Structure of Meaning

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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

Zoho Paper of SIL / 12 December 2014

1. 

   Zoho Paper

   From sekinanlogos

   
   

   Complex Manifold Deformation Theory

   1. Distance of Word
   2. Reflection of Word 
   3. Uniqueness of Word  
   4. Amplitude of Meaning Minimum  
   5. Time of Word
   6. Orbit of Word 
   7. Understandability of Language 
        

   Topological Group Language Theory

   1. Boundary of Words

   
   

   Symplectic Language

   1. Symplectic Topological Existence Theorem 
   2. Gromov-Witten Invariantational Curve
   3. Mirror Symmetry Conjecture on Rational Curve   ​ 
   4. Isomorphism of Map Sequence  
   5. Homological Mirror Symmetry Conjecture by KONTSEVICH 
   6. 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

   Also refer to 

   Zoho Paper 2
   Zoho Paper 3

Flow of Language / Heritage of WANG Guowei and Edward Sapir / 26 September 2014

TANAKA Akio

Description form succeeds Ludwig Wittgenstein.
Description / 15 August 2013

1. Wellspring / 28 November 2008
2. For WITTGENSTEIN Revised / Position of Language / 10 December 2005 - 2 August 2014
3. The Time of Wittgenstein /20 January 2012
4. Citation from Ludwig Wittgenstein / 7 February 2012
5. THE ROAD TO REALITY A Complete Guide to the Laws of the Universe, 2005 by Roger Penrose / 25 October 2012

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0.Progress so far

1. The First Paper on Inherent Time in Word / 26 July 2014
2. 40 years passed from I read WANG Guowei / 16 November 2013
3. Half farewell to Sergej Karcevskij and the Linguistic Circle of Prague / 23 October 2013 / With References

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1. Language is substance.

1. Substantiality Dedicated to SAPIR Edward / 27 February 2005
2. Macro Time and Micro Time / 24 July 2013

2. Language has structure.

1. True-false problem of the Crete, The example of What language has structure / 22 July 2013
2. Homology Structure of Word / Floer Homology Language / 16 June 2009

3. Language has dimension.

1. Parts and Whole / 1 September 2013
2. Dimension of Language / 9 September 2013
3. Disposition of Language / 12 September 2014 / With supplement

4. Language has energy.

1. Energy of Language / For ZHANG Taiyan and Wenshi 1908 / Stochastic Meaning Theory / 24 July 2008
2. Potential of Language / Floer Homology Language / 29 April 2009

5. Language has flow.

1. Time Flow in Word / For KOHARI Akihiro and His Time / Language and Spacetime / 3 May 2007

6. Language has time.

1. On Time Property Inherent in Characters / 28 March 2003

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Note

N1. 

At this paper, the most important theme is "5. Language has flow." For this theme, clear and mathematical description must be proposed for the further research's development. Its premise  by mathematical basic description is shown at
2.2 Homology Structure of Word / Floer Homology Language / 16 June 2009

4.2 Potential of Language / Floer Homology Language / 29 April 2009 

N2.
The intuitive concept of flow of language was prepared by WANG Guowei's Guantangjilin and Edward Sapir's Language for my study.
For WANG Guowei / A Letter / 11 March 2003 
Edward Sapir's Language, 1921 / 5 September 2014  

N3.
Mathematical approach will be done by geometry that is the most  image-able for me. Many thanks to the contemporary mathematicians for their radical works.

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This paper is still continued.

Tokyo
26 September 2014
SRFL Sekinan Research Field of Language