Wednesday, 29 May 2013

The Time of Wittgenstein

The Time of Wittgenstein 

There surely exists the time of Wittgenstein for me.
That time about in my 30s, in the middle of 1970s.

One may aware of the kernel of the problem after almost all the hardships were gone and the problem is going under pursuing in the daily work for oneself, as Wittgenstein wrote at 6.521 in TRACTATUS LOGICO-PHILOSOPHICUS.

Wittgenstein wrote on language immanently at least in TRACTATUS.
He also said in TRACTATUS 6.432 that how world exists  does not care from the higher dimensions.
I also wanted to write on language from the immanent side in language.
But I had not any pursuing method for writing on language at that time, only remaining set theory typically presented by Bourbaki that some translations were surely on my desk.

Set theory was enough fascinating at the time, but it did not give me any relative and constructive situations on language or widely on the world. It was isolated and non-relative for writing on language. I wanted the bond of the world.

Now I have geometry for which the world can be bonded enough tightly. In 1970s I was never aware of the existence of geometry by myself, probably not being influenced from Wittgenstein's 6.35 in TRACTATUS, Geometry absolutely tell nothing on how the figure is and where the figure situated.So I had remain silently in the days not being able to write on the theme, the basic essence of language. Then I never knew the object on language, language universals that was taught from CHINO Eiichi later in 1980s. CHINO showed me the paper of Sergej Karcevskij, Du dualisme asymétrique du  singe linguistique. The theme determined my remain life hereafter. CHINO was the true teacher of my study.

Wittgenstein wrote at the last 6.54 of TRACTATUS that his some propositions must be abandoned. I began to go through the wood of hard theme of language universals by mathematics especially using geometry. About what can be told to, I never must be silent. 

                                                      
Tokyo, January 20, 2012 Sekinan Research Field of Language



Friday, 24 May 2013

EVERWENTLIBRARY Daily Thoughts from West Side of Sayama Hills, Tokyo

Archivesekinan From Early Work

Archivesekinan

                   FOR LANGUAGE-Home         AUTHOR-TANAKA Akio

INVITATION   Aim  Dialogue Wellspring
BASIS             On Time Property Inherent in Characters Prague Theory 3
MODEL         Meaning minimum 1  Arithmetic Language  Floer Homology Homology Structure  Symplectic Geometry  
                                                  Complex Manifold Deformation 
              Meaning minimum 2  Stochastic Meaning Holomorphic Function Reversion Analysis
              Finiteness/Infinity    Generation Understandability Mirror Word Potential Topological Group
              Distance/Reversion   Supersymmetric Harmonic Oscillator  Complex Manifold Deformation  Floer Homology
SITE                sekinanlogos  sekinanorg  Picasa  Flickr
MEMORY       CHINO Eiichi  KAJIMURA Hideki  CHO Shokichi  AMINO Yoshihiko  In 1970s

Wednesday, 22 May 2013

To my dear friend

To my dear friend

TANAKA Akio

22 May 2013

We were always sitting at the right end of the classroom, where the seats were near the entrance from the corridor, so classmates entered the room with  rattling noises. But we liked the seats rather satisfying. We were G class of the third year of the high school, which class was all hoped to go universities of the mathematical or science fields.

The seats were free to sit but almost determined by the personalities. Serious were sitting at the comparatively before widows sites. The seats were silent and easy to concentrate. We were also serious to the learning but liked the most bad seats that could not concentrate by the various noises for entering and out-going. Sometimes the 

KANEKO Yutaka and I first met  at this class and became best friend. He probably  hoped to go to chemistry and I was physics. He was very good at mathematics and I was ordinary at math. I sometimes asked him how to solve the hard quests of math. At that time he smiled to me and said, " there's any little paper? The problem can be written enough by such a little space."

Over the our seats, frequently flew to the end of the class where the trash can was set always fulled with the calculate-papers for math and writing of English. The members of the class all were eager to solve math quests for preparing to entrance examinations to the universities. At the result they threw the used papers over us to the can. So around the can, the scraps were littered with. I was never tidy but I was the nearest one to the can, so I sometimes went to trash dump to clean the can. 

After we graduated the high school,  he studied chemistry as planned at university. But I selected language study, not physics. I also liked  philosophical or linguistic fields for their long historical heritages. What I returned to the field related with physics was already over the year 30s. My research object was narrowed to language universals using mathematical writing or physical approach.   

After half a century, he died by disease in his researching way. I have learnt same theme on language using maths way not solving any quest from 1920s' Linguistic Circle of Prague. Over my head still now vain calculate-papers are being thrown to the can behind us. If I ask him to help me for solving, he will say to me wanting tiny paper to write the answer with his dear smiling as ever.

Also refer to,
Language, amalgamation of mathematics and physics / 13 May 2013
Clifford Algebra A trial for amalgamation of mathematics and physics / 21 May 2013.

Clifford Algebra. A trial for amalgamation of mathematics and physics


Clifford Algebra
A trial for amalgamation of mathematics and physics

Note
From Super Space to Quantization
Anti-automorphism
Anti-self-dual Form
Dirac Operator
TOMONAGA's Super Multi-time Theory
Periodicity
Creation Operator and Annihilation Operator

Conjecture
Meaning Product 


Tuesday, 21 May 2013

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atbankofdam Home. For language universals

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For language universals


​​Language universal has been the hard target on language since the Linguistic Circle of Prague in 1920s for me. I have written some papers for it from intuitive and mathematical approach influenced by Sergej Karcevskij, the member of LCP. Hereinafter I will probably write  
some for the theme via algebraic geometry.
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Saturday, 18 May 2013

For LEVI-STRAUSS Claude Supplemented


Roman Jakobson


Wednesday, 15 May 2013

Operad Meaning Theory From Cell to Operad


Operad Meaning Theory

From Cell to Operad

TANAKA Akio
24 March 2013

1.
I ever wrote a next paper in which cell and meaning minimum  are defined.
Cell Theory. From Cell to Manifold For LEIBNIZ and JAKOBSON. Tokyo June 2, 2007.
In the paper, through Roman Jakobson's intuitive assist, the concept of meaning minimum is described by the elementary algebraic  geomtry. At the deeper basis, Gottfried Leibniz's Monadologie , 1714 may influence for making this Cell Theory.   
2.
The main target of Cell Theory was in the generation of meaning in word. This target was more clearly described soon later at the next paper.
von Neumann Algebra 2. Generation Theorem. Tokyo April 20, 2008.
3.
But the balance of soft part and hard part in word, that was conjectured by Sergej Karcevskij in 1920s,  is very hard theme to describe. For solving the hardness, trial papers were proposed at the next paper group,  Notes for KARCEVSKIJ.
At the first paper of the Notes, Note for KARCEVSKIJ Sergej, the soft part in word was described by the free group's definition.
4.
There is more difficult theme on the gradual changeable addition of meaning for which language has always efficiently useful in the thus complicated contemporary world. 
For this theme, I ever tried to write some papers related with time shift. The example is the next.
5.
From another view on language, I had thought brane model for the connection of words or construction of language. The example is the next.
6.
Briefly summarising I have thought on language from its freeness, flexibility and changeability against long stern structure of soft and hard magical agalgum.
The gist is as the following.
7.
Language shows many phases from thinking levels and viewpoints. 
Language can be captured more clearly from descreteness but more flexibly thinkable from meaning variation and changeability.
8.
Changeability of language implies the eternity of time, but this eternity cannot be easily obtained probably without loop condition of movement. 
Loop space can capture this eternality, that is shown often by the repetition. I firmly noticed this situation at the Shinto dance perfomance at a shrine festival.
9.
Loop space was also notified early stage of Chinese histiory in circa. 500 B.C. at one of the five classics,Y ijing that is the fortune-telling text of ancient China.
On Yijing, I was taught from philosopher NISHI Junzo.
10.
From Infinite loop space, the concept of operad is lead as the next.
10.1
 is the space that has base *.
 is the loop space over .
.
10.2
.
10.3
Theorem (J.P. May's recognition theorem)
 operates all the fold loop space. 
Continuous space  to which  operates is weak homotopy equivalent with a certain fold loop space. 
11.
 is  identified as a operator that has j number input and 1 number output.
12.
Here I think that  is identified as a word that has j number meaning minimums and 1 number compound meaning.

References
J. P. May. The Geometry of Iterated Loop Spaces. 1972.
Iek Moerdijk, Bertrand Toen. Simplicial Methods for Operads and Algebraic Geometry. 2010. 

♦Here ends the paper.