Letter to Y. Of Broad Language 4th Edition

References for Letter to Y. Of Broad language

TANAKA Akio

1. From definition of language to the decision of direction for research on language

 
1.1        

1. Presupposition on Natural Language 

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

22 August 2012

Sekinan Research Field of Language

       2. Sayama Assumption on Language         

       3. Description

1.2           

       1. Inspiration The Time of Quantum

In August  2003, I went to Hakuba in Nagano prefecture for the summer vacation with my family.  At that time I had been thinking on the form of language for which I wrote the paper,  that connects with time inherent in characters, in March 2003 also at Hakuba.At night of August 23 in cottage, I casually saw the advertising paper of electric dictionary.  The paper was brought from the convenience store near  the cottage in the evening. The dictionary  on the paper was Seiko’s English-Japanese dictionary that has additionally consultation for Chinese or French language with large scale. I vaguely considered that after this dictionaries are necessarily taken these multi-lingual way.At the time I suddenly  realized that the form of language may be spherical style in which language contains all the information in itself.That was rather satisfied solution for the tough problem of language that I had been carrying in my life from my twenties.I wrote the sketch-like paper of the theoretical approach after returning home of Tokyo. The paper was read at the international symposium of UNESCO opened in winter 2003 at Nara. In the paper, the spherical substance of language is seemed to be quantum in DELBRUCK’s image-like physical world. After 5 years from the inspiration at summer of Hakuba,  now I consider that spherical essence is manifold in infinite dimensional world.Now I also realize that the toughest problem of language is minutely solvable in mathematical approach that has structurally definable terms.

September 29, 2008
Sekinan Research Field of Language 
[January 23, 2012]

The title changed.The former title is “From Quantum to Manifold”.

[Postscript. January 25,2012]

On quantization of Language.Refer to the next.
Quantization of Language 
 

1.3

1. Glitter of youth through philosophy and mathematics in 1970s

1.4 

1. Distance Theory Algebraically supplemented Distance

1.5

1. Thanks to physics about which I ever dreamt in my future

1.6

1. Bourbaki' ELEMENTS DE MATHEMATIUE

2. THEORIE DES ENSEMBLES

3. Fascicule de resiltats Troisieme edition, 1964　

1.7
     1.Fortuitous Meeting

What CHINO Eiichi Taught Me in the Class of Linguistics 

CHINO taught me the core of linguistics in the class of structural linguistics.The most remarkable thing is what he explained the paper of KARCEVSKIJ to us.The title is “Du dualisme asymétrique du signe linguistique”. It became a miracle of my life. I summarize the essence of the paper from one of CHINO’s most major book,Gengogaku eno hirakareta tobira, Janua linguarum reserata in Latin. Language has the dualism.One is firm structure. The other is flexible variability.This is a very revelation in the roaming of study.At first I selected the firmness of language for my research target.It overlapped with the research of Chinese characters.Thought of KARCEVSKIJ fructified the quantum of language.The theory I reached is Quantum Theory for Language.The starting point of the theory was given from CHINO.I deeply appreciate him for teaching me almost all the things on language. CHINO Eiich died March 19, 2002.At age 70.December 5, 2004 July 16, 2014 Added

      2. Linguistic Circle of  Prague
      3. Edward Sapir gave me a moment to study language universals together with Sergej Karcevskij       4. Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique"
      5. Karcevskij conjecture 1928 and Kawamata conjecture 2002
      6. Brian Kemple. Essential Russian grammar. Dover Publications. 1993.

1.8

1. The Time of WANG Guowei

2. The Time of Wittgenstein

1.9

1. For WITTGENSTEIN Ludwig Revised  Position of Language

2. Essay on WANG Guowei

3. The Complete Works of WANG Guowei Revised

4. For WANG Guowei A Letter

5. Being led by Karcevskij's conjecture

6. The Days of von Neumann Algebra

7. The days between von Neumann Algebra and Complex Manifold Deformation Theory　

8. Bridge between mathematics and physics / Revised

1.10

1. Sekinan Library

2. The Days of Sekinan Library

1.11

1. On Time Property Inherent in Characters

2. Manuscript of Quantum Theory for Language

3. Quantum Theory for Language 

4. 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

1.12
      1. Max Delbluck From Physics to Biology Application to different Fields 

1.13

      1.Special Exhibition UNKEI The Great Master of Buddhist Sculpture 2017.                 Tokyo National Museum　

 

2. Why is there attractive of language research,
and how are there developments or applications in the future 

2.1

1. Meaning minimum On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi

1.
Meaning minimum is one of the kernel concepts for the model of language universals on my study. The concept was at first thought from Roman Jakobson's semantic minimum on which I first read at his book, ESSAIS DE LINGUISTIGUE GENERALE, 1973.　His concept was yet intuitive at the linguistic study  history in the latter half of the 20th century.Comparison with his concept, my definition of meaning minimum was a certain basis prepared in the learning of mathematics, especially on algebraic geometry, that is the most fantastic approach to the construction of the language model. But the contents of meaning minimum is vacant. This concept shows the minimum unit of one big constructive meaning of word. meaning minimum seems to be correspondent with element of set theory, which theory and foundations of mathematics had been my favourite mathematical basis in 1970s, my youth time. Bourbaki was always echoed around us. Grothendieck was a highest star in this world.

2.
Time went fast from at that time. Set theory became one of the premise field of mathematics. But in my part, set theory's agenda was put at a another point. Because language has a certain expanded world that seems to be continuous. Set theory's atomic discreteness does not match in my primary learning level. So, in my age 30s, I had sank in the philosophically intuitive thinking often referring the tradition of 1920s, especially of the Linguistic Circle of Prague. On the circle my teacher CHINO Eiichi had taught me from time to time on the campus of university or coffee shop near the station we used. CHINO had gone to the Czechoslovakia Republic from 1959 to 1967. I first met him in 1969 at his Russian class at my third year of university student. I was the age 21 and he was 37.

3.
At the age 23's 1971 spring,  I graduated university and  once became a high school's teacher and again returned back to university in 1979 after 8 year job of the school. At that time I thought of characters' distinctive features on Written  Chinese classics. I mainly read WANG Guowei, ZHANG Binglin, DUAN Yucai, WANG Yinzhi being guided by Japanese modern scholar KANO Naoki. Expressly I had attracted to  WANG Guowei and his book Guantangjilin. Besides reading these China's Qing dynasty's linguistic peaks, I had always thought on Ludwig Wittgenstein for his endless pursuit on language. So I resigned school and came back to the campus where I again met with CHINO. I was age 30s and he was 50s. He was already the big scholar at the linguistic field  but I was a poor return student. But I dare to say we were colleagues for language study. He taught me the detailed and strict tradition of the linguistic Circle of Prague. He frequently talked on Sergej Karcevskij and his eminent discernment on language. In the later year's masterpiece, Janua Linguisticae Reserata, 1994, he wrote only Karcevskij as genius in the great linguists.

4.
Being led by CHINO, I again started linguistic learning on meaning that I had been interested in from my 20s but too hard to approach by my talent. This time I had Karcevskij's fine insight to meaning enough absorbing the fertile tradition of Prague, where also exist Jakobson and Mathesius. Through the learning I gradually lean to desire to write clear definitions on language. I again remembered the little learning of my 20s age's mathematics. Bourbaki, Godel, TAKEUCHI and their set theory, foundations of mathematics and that Incompleteness theorem. I had learnt mathematics little by little, inch by inch.

5.
CHINO Died in 2002 at age 70 and I became 55. The next year 2003, I wrote a short paper titled "Quantum Theory for Language". This paper was showed at a international symposium on Silk road for dealing with language from Chinese characters on linguistic viewpoint. I knew  that Asian civilisation and history had great concern not only from Asia but also European continents. At the symposium some 400 researchers gathered in the various scholarly fields. It was a awesome encounter for my study, namely, East meet West. Probably Chinese character's agenda will be written by Europe oriented mathematics. WANG Guowei will meet with karcevskij mediated through mathematics' description. The target confronted at that time was time inherent in characters, or time in word.  In Chinese, particularly in classical written Chinese, all the characters show enough independent meaning in one character probably including even time. It was my first conjecture taught from Karcevskij and CHINO. Meaning minimum is on the boat going across to the opposite shore. This metaphor was derived from WANG Guowei's famous paper, "Yin- bu zhong suojian xiangong xianwang kao"

6.
The concept of time inevitably led to the concept of distance. In 2004, I wrote a paper titled "Distance Theory". But the paper was yet intuitive and not clear for descriptive definition. So hereinafter I learnt algebra inch by inch being assisted with the rich heritage of geometry. In the centre of learning, always exist time that connotes finiteness and infinity. But infinity is not easily obtained without probably only loop space at the present. And again returns back to meaning minimum as the passenger of the boat named time property inherent. This time the passenger on the boat is called operad or algebraic language.

7.
After all I came back to the very dream that I had embraced since the high school days. It was a fundamental ask on language related with mathematics and physics. The root of language would be able to describe by mathematics and physics. In my mind language is always put at the centre of the pursuit that was what anyone can clearly understand. Description by mathematics, but physics why (Note 1)?. Physics treats with substance that constructs the world in which I had desire to let language enter. It started at Substantiality of language (References 2. 2). It was my dream and probably will be so, hereafter.

References
1.
<Meaning minimum>
Cell Theory Continuation of Quantum Theory for Language / From Cell to Manifold For LEIBNIZ and JAKOBSON / Tokyo June 2, 2007
<Bourbaki>
The Time of Language Ode to The Early Bourbaki To Grothendieck / January 10, 2012
2.
<CHINO Eiichi>
Fortuitous Meeting What CHINO Eiichi Taught Me in the CLass of Linguistics / Tokyo December 5, 2004
<The Linguistic Circle of Prague>
Linguistic Circle of Prague / Tokyo 13 July 2012, 19 July 2012 Added
3.
<WANG Guowei>
The Complete Works of WANG Guowei / Tokyo 24 May 2012
<Ludwig Wittgenstein>
The Time of Wittgenstein / Tokyo January 20, 2012
<Sergej Karcevskij>
Notes for KARCEVSKIJ Sergej / Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique" / Tokyo September 8, 2011
4.
<Set Theory>
Quantum Linguistics / Growth of Word Dedicated to TAKEUCHI Gaishi / Tokyo January 30, 2006
5.
<Quantum Theory for Language>
Quantum Theory for Language Synopsis / Tokyo January 15, 2004
<Time inherent in characters>
On Time Property Inherent in Characters / Hakuba March 28, 2003
6.
<Distance>
Distance Theory / Tokyo May 5, 2004
<Meaning minimum and distance>
sekinanlogos / Floer Homology Language / Supersymmetric Harmonic Oscillator / Tokyo May 6, 2009
<Loop space>
sekinanmodel / Infinite Loop Space Language / Word as Infinite Loop Space / 6 December 2012
<Operad>
ifbetruezoho / Operad Meaning Theory / From Cell to Operad / 4 March 2013
7.
<Description>
sekinanmetria / Notes for KARCEVSKIJ Sergej / Description of Language / September 9, 2011
<Substantiality>
sekinanlogos / Floer Homology Language / Potential of Language / Tokyo June 16, 2009
<Amalgamation>
Language, amalgamation of mathematics and physics / ifbetrue 2 April 2013

Tokyo
6 April 2013
Sekinan Library

References 2
14 September 2014
1. Roger Penrose / 25 October 2012
2. Substantiality Dedicated to SAPIR Edward / 27 February 2005
3. Perhaps Return to Physics / 16 August 2014

References 3
25 July 2017
Category theory shows a new approach for the further step.
1. Karcevskij conjecture 1928 and Kawamata conjecture 2002
2. Additional meaning and embedding
3. The comparison between 2003 and 2017 From Chinese character's meaning structure to Homological algebraic model of language universals 

Reference 4
29 July 2017
1. Edward Sapir gave me a moment to study language universals together with Sergej Karcevskij

2.2

1. Perhaps Return to Physics

2. Thanks to physics about which I ever dreamt in my future

3. TOMONAGA's Super Multi-time Theory 

2.3

1. The Time of Language Ode to The Early Bourbaki To Grothendieck

2.4

1. True-false problem of the Crete

2.5

1. Geometrization Language

2. Geometrization Language. preparatory 1-8 Total For geometrization Language

2.6

1. Perelman's Approach 1

2. Perelman's Approach 2 

3. Preparation for Geometrization Language

2.7

1. Preparation for the energy of language

2. The days when I was thinking on Energy Distance Theory

3.  

2.8　     

      １. For WITTGENSTEIN Ludwig Revised Position of Language

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 Ludwig
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

      2. Pioneer

1. Bourbaki, Nicolas

The Time of Language, Ode to The Early Bourbaki To Grothendieck
Bourbaki' ELEMENTS DE MATHEMATIUE Troisieme edition, 1964

1. Karlgren, Bernhard

ONO Shinobu and Bernhard Karlgren

1. Karcevskij, Sergej

Meaning Minimum On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi
Half Farewell to the Linguistic Circle of Prague and Sergej Karcevskij
Sergej Karcevskij, Soul of Language
Gift from Sergej Karcevskij
Follower of Sergej Karcevskij
For KARCEVSKIJ Sergej

1. Jakobson, Roman

Meaning Minimum On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi

1. Sapir, Edward 

Edward Sapir, Language, 1921
Substantiality

1. Saussure, Ferdinand de

Uniformity For SAUSSURE Ferdinand

1. WANG Guowei

The Time of WANG Guowei
40 years passed from I read WANG Guowei

1. von Neumann

The days of von Neumann Algebra
The days between von Neumann Algebra and Complex Manifold Deformation Theory

1. Wittgenstein, Ludwig

The Time of Wittgenstein
For WITTGENSTEIN Ludwig Revised with Symplectic Language Theory and Floer Homology Language

2.9

1. Essence of Language

2. The Days of Decipherment

3. The Days of Ideogram Ideogram from hieroglyph to LATEX Symbol List

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

2.10

1. Language between Sergej Karcevskij and string theory, one century's trace