Lotus Flowers at Ueno

Lotus Flowers at Ueno

TANAKA Akio

                   

Lotus flowers are always beautifully bloom at the pond of the Tokyo National Museum, Imperial-gift Ueno Park , Tokyo. When I was a student of the university, I frequently went to see the garnered items of the some museums located in the park. The photo was taken at 25 May 2011.

I also like the National Museum of Western Art in the Ueno park, that was designed by Le Corbusier. This lotus photo’s colour is a little similar with the Monet’s paintings themed on lotus flowers.

0187f-p1040705

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HANNO, SAITAMA REVISITED

Hanno, Saitama Revisited  

TANAKA Akio

Today I and wife went to Hanno, Saitama that is located at the next to my home town, north-west of Tokyo . The city was the very intimate place for some dear fiends of high school days.

We were always play in home town in the long vacations of summer, winter and spring, but sometimes using bicycles we went to Hanno to play the baseball at the city ground and see the Iruma River that flows the centre part of the city and rarely learnt the vacation work at the old city library alike a tiny elementary school building.

Along the bicycle road used to go and back, fantastic silver grasses were calmly swaying in the Autumn wind. We run fast the slope road seeing the rail road at right side. Occasionally  we met the diesel train.

Today I went there with wife, with whom I went camping or barbecue at the river side far old days together with two children. Now they are already growing up and working in the central Tokyo. I and wife are enough old and feel tranquil seeing the river and the hills behind.

When the children were very young, we let them buy some confectioneries at the river side tiny shops that are still remain in the same old style. The time flew fast and all afar went. The river is only sparkling with same beauty.

Tokyo
5 October 2012

Old Shops in Home town

Old Shops in Home town 

TANAKA Akio

                                        

My home town belongs Metropolis Tokyo, located at the west suburb, some 40 km afar. I was born and  grew up here, so many tiny shops were very intimate and to them I have dear feelings.

There are some old shops still now, where in the boy’s days I bought the daily use things for being ordered by mother sometimes from father. The remained styles of them are now all off-painted wall, unreadable signboards and rough roofs. Nowadays people including with my family always go to the big supermarket or shopping mall having very wide parking lots. Old main roads and shops decline day by day. It is surely modern social phenomenon. But we that know the ever busy conditions of the shops, feel very sad and lonesome.

Glossary shop unopened now
Tokyo 30 October 2012, Sekinan Library

Under the Dim Light

Under the Dim Light

TANAKA Akio

I frequently talked with CHINO Eiichi at the coffee shop near the station we used to get on. The shop was at the second floor and the steps upstairs always sounded squeaking. Under the dim light the topics of conversation was on language or linguistics after all. He was already the university professor but I was a poor research student. But he was always showed me the general tenderness.
The subject he gave me were impressive and useful for me, in which the most important is the history of The Linguistic Circle of Prague and the excellent pioneers of language study. He had of course the unique approach to the study but I had never any conspicuous one except boundless interest on the study.
In his wide and precious telling for me I gradually determined my course to proceed. It was the making of basic and radical foundation on natural language by searching the structure of language through simple and clear description. For keeping this difficult aim I had a decision that there was only way to use mathematics that I had abandoned at the past for its hardness.
In my age 20s, I had read Ludwig Wittgenstein and Nicolas Bourbaki in concentrating. I did not clearly understand  Wittgenstein’s approach. But I borrowed his writing style that was simple and clear. So my early work’s descriptions were nearly at him. But I decided that I never adopted strongly-intuitive thinking.
I always considered mathematical basis or analogy. My aim was the independence from the intuitive description. Keeping on this course, there was seen the mathematical basis that I must adopt the model in which language universals are clearly described. I entered to the mathematical description of study that was confirmed premises of my way.

Language Universal Models

Language Universal Models  
                         

1. Repeated Integral Model
1.1 Hyperbolic volume Volume of Language
1.2 Hyperbolic space Hyperbolic Space Language

2. Minimal Model
2.1 Free group Notes for KARVESKIJ Sergej, “Dusualisme asymétrique du signe linguistique” 
2.2 Fundamental group Description of Language
2.3 de Rham complex Structure of Word
2.4 de Rham complex on spherical surface Condition of Meaning

3. Knot Theory Model
3.1 Hida deformation space Loop Time f Character

4. Jones-Witten Theory Model
4.1 Witten invariant Symmetry of Language

5. Moduli Model
5.1 Projective algebraic manifold Completion of Language
5.2 Projective algebraic manifold Meaning Minimum of Language

6. Arithmetic Geometry Model
6.1 Riemann-Roch Formula Language, Word, Distance, Meaning and Meaning Minimum

7. Projective Space Model
7.1 Grothendieck theorem Vector Bundle Model

8. Diophantine Approximation Model-Diophantine Language
8.1 Faltings theorem Finiteness of Words
8.2 Noguchi, Winkelmann theorem Dimension of Words

Tokyo
January 25, 2012
February 1, 2012 Added
Sekinan Research Field of Language

Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement

Three Conjectures for Dimension, Synthesis and Reversion with Root and Supplement

At least three elements for language universals

At least three elements for language universals

TANAKA Akio

Supposition 1:
Three elements for language universals

For language universals, now I suppose at least three elements being  based from mathematical description.

Three elements for language universals are energydimension and distance.

The most fundamental element is energy. By this energy, all the movements and changes occur in language.
vide:

All the languages are located at a certain dimension in space. By this dimension, confusions in language are averted.
vide:

In language, all the movements and changes inevitably make distance occurred. By this distance, important phases of language are clearly defined.
vide:

……………………………………………………………………………………………………………

Supposition 2:
Mathematical description for three elements of language universals

Energy, dimension and distance can be describe by mathematical writing.

Energy in language is now preparatory description til now.
vide:

For dimension, definite results are presented being aided by arithmetic geometry.
vide:

For distance, its vast and vagueness of the concept can not be grasped up. But related papers of mine are probably the most in number.
vide:

…………………………………………………………………………………………………….

This paper is not finished.

Tokyo
27 February 2015
SIL