atbankofdam

Intuition and mathematics are deeply concerned with each other. In my stand, intuitive concept is first flowing up and the next mathematical description is arranged. According to this situation, intuition is very important and if there is no such flowing up thinking, the development is almost not so easy proceeding. The time concept in language is the key concept of my language model that is at first found from the ancient Chinese characters' construction and after writing a short intuitive paper, the more precise descriptions are took up using mathematics especially of geometry. But at the deepest basis of language, time is seemed to be infinitive but not spread tin a strait line to the future, more likely going round as circle or circular situation. This conjecture was firmed by Yi-jing that is one of the Five Great Classics of China. I received the lecture on Yi-jing from philosopher NISHI Junzo some five years at the university. The world of Yi-jing consists from perfect infinitive circularity and this world is perfectly recognised by human for its closed situation of infinity. It is very hard to recognise infinity as perfect whole image and Yi-jing is resolved this baffling problem through the shut-in world, that is "compact" concept of mathematics.

Reference

NISHI Junzo, Philosopher of Modern Japan 2012
                  Tokyo,
                                                         30 August 2012
                                       Sekinan Research Field of Language

Wellspring

Wellspring
TANAKA Akio

1
I read two geniuses in my twenties at early 1970s.
WANG Guowei and WITTGENSTEIN Ludwig.
WANG's Guantangjilin and WITTGENSTEIN's TRACTATUS LOGICO-PHILOSOPHICUS.
I have continued thinking and writing by own-recognized WITTGENSTEIN's TLP's style throughout till now.
2
Linguistic themes are almost all depended on WANG's papers.
Yin buci-zhong suojian xian-gong xian-wang kao ( Juan 9 Shilin 1) overwhelmed me by profound considerations and citations from Chinese vast classic texts.
Wang-Heng ( Juan 9 Shilin 1) is the origin of my early concept that consists of infinite cyclic meaning minimum inherent in characters.
On Time Property Inherent in Character s and Prague Theory are early embodiment of the concept.
3
On meaning of language, CHINO Eiichi taught me its fascination and hardship mainly throughout the works of Linguistic Circle of Prague.
KARCEVSKIJ Sergej showed me the most fascinating approach to the meaning's flexibility in word.
4
From Orient, WANG Yinzhi lead me the meaning of word especially by analysis of functional words in Chinese classics.
Jingzhuan shici is a compilation of his analysis by which I tried the concept of
positive and negative on the generation of word. The result is shown by early work Quantification of Quantum, from which the concepts of actual language and imaginary language are emerged. Early work of showing the concepts areGuarantee of Language, Mirror Language and Reversion Theory and the like.5
ZHANG Binglin is the another peak of China.
Wenshi is the work I have tried to get understanding over and over again from my youth. My paper is tried as Energy of Language and Brown Motion as Language. Two papers are targeted to the energy inherent in language. 6
Simple chronological table is shown at Theory Dictionary Time.

Tokyo
November 28, 2008Sekinan Research Field of Language

Tuesday, 4 June 2013

Outer Link of Home Site atbankofdam

1. National Trust
2. Bodleian Libraries
3. National Parks
4. Kew Garden

Monday, 3 June 2013

Ode to The Early Bourbaki To Grothendieck

Ode to The Early Bourbaki To Grothendieck

TANAKA Akio

In early 1970s, I had think of language from the side of mathematics, that level of mine is very low and primitive, moreover I never had any talent to mathematics.
But my eager to trying the approach was going to overcme hard barriers before me. So the route had really facscinated my mind for long time.
At that time I had read Chinese classics almost every day. WANG Guowei*, DUAN Yucai and WANG Yingzhi. They were giants on Chinese language historically and modernly.
On the other hand I had thought of language generally, not defined by Chinese.
But in front of the vast world of language, I had stood still lonely, not taking any method for approaching.
Mathematics was the only gleam of hope in the wasteland.
I never took the route of ordinary linguistics.
I really dreamed a dream that time.
There exists set theory before me.
Probably there was the influence of Bourbaki**, that several translations to Japanese, shared from Tokyo Tosho Publisher, were on the desk of mine.
My talent and endeavor were so low, so I had not any results at that time.
My desire was deep but my hand was so shallow.
The time passed by.
In 1979 the meeting again with CHINO Eiichi*** made me the chance to learn on language, the object was clear and direct.
Language universals by mathematics became the never-ending goal of the study hereafter.
Sergej Karcevskij**** gave me the courage to the reseach.
All the way to investigation were taught from CHINO, who was the genuine teacher on language.
In mathematics I took the route from geometry, especially by projection.
Now I stand at algebraic geometry.
Grothendieck is in the northernmost at the end of Bourbaki.
SAITO Takeshi said at the essay on Grothendieck***** that the object of mathematics for Bourbaki was the set of being attached by construction and the object of mathematics for Grothendieck was the object of category representing the presentable functor.
The time has come for describing****** on langauge by mathematics despite my poor ability.
Sincere thanks for the pioneers letting us make the fascinating route of modern mathematics.

*WANG Guowei
Encounter in life / A Letter /2005
Influenced paper / On Time Property Inherent in Characters / 2003 , Quantum Theory for Language / 2004
**Bourbaki
SAITO Takeshi. Bourbaki, Mathematics Seminar, vol.41 no.4 487. Nihonhyoronsya, Tokyo, 2002.
***CHINO Eiicji
First met in 1969, again in 1979. Fortuitous Meeting
****Sergej Karcevskij
Note on Karcevskij's theme. Note for KARCEVSKIJ Sergej's "Dudualisme asymetrique du signe linguistique"
*****Grothendieck
SAITO Takeshi. Grothendieck, Mathematics Seminar, vol.49 no.5 584. Nihonhyoronsya, Tokyo, 2010.
******describing
Note on Grothendieck's theorem. Vector Bundle Model

Tokyo
January 10, 2012
Sekinan Research Field of Language

Sunday, 2 June 2013

For Wittgenstein Revised Position of Language

For Wittgenstein Revised
Position of Language

TANAKA Akio

1 Quantization¹ 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 minimum², mirror language³ and mirror symmetry⁴ are inevitable approach to the study of language especially for language universals⁵.
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 Models 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
Now traveling to a northern more place from the encounter

Tokyo November 27, 2008 Revised
Tokyo March 24, 2009 Revised
Tokyo June 27, 2009 Revised
Tokyo February 28, 2011 RevisedTokyo August 3, 2012 Revised

Tokyo
3 August 2012
Sekinan Research Field of Language

On Max Delbluck Application to different Fields

On Max Delbluck
Application to different Fields

TANAKA Akio

Ernest Peter Fischer and Carol Lipson's THINKING ABOUT SCIENCE Max Delbluck and the Origins of Molecular Biology, 1988 shows me the importance of application to the different fields.

The most impressive part is that when Delbluck spoke at the conference of biology, he said that if life be supposed to a sphere..., the audiences was laughing all together.

Delbluck was turned the view from the complexity to the simplicity. It opened the new world to molecular biology. The story of Delbluck has suggested me the new frontier of language study till now.

Refer to the next.
Aim 2004.

Tokyo
31 July 2012