Monday 18 March 2024

Karcevskij conjecture 1928 and Kawamata conjecture 2002

 

 

 

Karcevskij conjecture 1928 and Kawamata conjecture 2002


10/11/2017 18:29

 

 
TANAKA Akio

Sergej Karcevskij declared a conjecture for language's asymmetric structure on the TCLP of the Linguistic Circle of Prague in 1928. I briefly wrote about the conjecture as the following.

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Prague in 1920s, The Linguistic Circle of Prague and Sergej Karcevskij's paper "Du dualisme asymetrique du signe linguistique"

From Print 2012, Chapter 18

Non-symmetry. It was the very theme that I repeatedly talked on with C. Prague in 1920s. Karcevskij's paper "Du dualisme asymetrique du signe linguistique" that appeared in the magazine TCLP.  Absolutely contradicted coexistence between flexibility and solidity, which language keeps on maintaining, by which language continues existing as language.  Still now there will exist the everlasting dual contradiction in language. Why can language stay in such solid and such flexible condition like that. Karcevskij proposed the duality that is seemed to be almost absolute contradiction. Sergej Karcevskij's best of papers, for whom C called as the only genius in his last years' book Janua Linguisticae reserata 1994.

Source: 
  1. Tale / Print by LI Koh / 27 January 2012  

Reference:
  1. Fortuitous Meeting, What CHINO Eiichi Taught Me in the Class of Linguistics / 5 December 2004 
Reference 2:
  1. Linguistic Circle of Prague / 13 July 2012 - 19 July 2012
References 3:
  1. Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique" / 8 September 2011
  2. Condition of Meaning / 11 September 2011
References 4:
  1. Dimension of Language / 4 September 2013
  2. Synthesis of Meaning and Transition of Dimension / 6 September 2013
Reference 5:
  1. Reversion Conjecture Revised / 1 May 2014 - 20 May 20

[Note, 2 October 2014]
In this Tale, Print 2012, C is CHINO Eiichi who was the very teacher in my life, taught me almost all the heritage of modern linguistics. I first met him in 1969 at university's his Russian class as a student knowing nothing on language study.
  1. From Distance to Pseudo-Kobayashi Distance / 5 February 2012

Tokyo
23 February 2015
SIL
.....................................................................................................................................
 
This asymmetric duality of linguistic sign presented by Karcevskij has become the prime mover for my study from the latter half of the 20th century being led by my teacher CHINO Eiichi.
But the theme was very hard even to find a clue. The turning point visited after I again learnt mathematics especially algebraic geometry in 1980s. 
In 2009 I successively wrote  the trial papers of the theme assisted by several results of contemporary mathematics. The papers are the following.

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  1. Notes for KARCEVSKIJ Sergej, "Du Dualisme asymétrique du signe linguistique"
  2. Description of Language
  3. Structure of Word
  4. Condition of Meaning
 
 
The papers on this site have been published by   
 
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Entering in this year 2016, I read TODA Yukinobu's book, Several Problems on Derived Category of Coherent sheaf, Tokyo, 2016. The book shows me the update overview on derived category of coherent sheaf. The essence of my notable points are noted at the following.
 
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Kontsevich's conjecture
Category theoretic mirror symmetry conjecture

When there exists mirror relation between X1 and X2, derived category of X1's  coherent sheaf  and derived Fukaya category defined from X2's symplectic structure become equivalence.

M. Kontsevich. Homological algebra of mirror symmetry, Vol. 1 of Proceedings of ICM. 1995.


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[Note by TANAKA Akio]
In the near future, symplectic geometry may be written by derived category. If so, complex image of symplectic geometry's some theorems will become clearer.

References
Mirror Symmetry Conjecture on Rational Curve / Symplectic Language Theory / 27 February 2009

Tokyo
10 May 2016
SRFL Theory
.................................................................................................................................
 
In the TODA's book, I received the great hint on Karcevskij's conjecture for language's hard problem.
The hint exists at Kawamata conjecture presented in 2002. The details are the following.
 
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Derived Category Language 2
Kawamata Conjecture
 
Conjecture
 
is birational map between smooth objective algebraic manifolds.
And
.
At This condition,
there exists next fully faithful embedding.
.
 
[Reference]
  1. TODA Yukinobu. Several problems on derived category of coherent sheaf.  Tokyo, 2016.Chapter 6, Derived category of coherent sheaf and birational geometry, page 148, Conjecture 6.43.
[References 2]
 
  1. Bridge across mathematics and physics
  2. Kontsevich's conjecture Category theoretic mirror symmetry conjecture
[Reference 3]
  1. Stability of Language / Language and Spacetime
 
Tokyo
19 May 2016
 
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Kawamata conjecture will hint me the new meaning's entrance in the old meaning at a word. 
Notes for KARCEVSKIJ Sergej that I ever wrote will be newly revised through TODA's fine work over viewing the recent 20 year development on derived category that began by Grothendieck.  
For TODA's book, refer to the next my short essay.
 
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Bridge across mathematics and physics / Revised

  

TODA Yukinobu. Several problems on derived category of coherent sheaf.  Tokyo, 2016
 
TODA Yukinobu's  Several problems on derived category of coherent sheaf has built across mathematics and physics. For my part, further more, physics and language seem to be expected to build over from the book.
Chapter 5. Page 116. Conjecture 5.16 shows us the connection between symplectic geometry and algebraic geometry.
I ever wrote several notes on language related with string theory.  Now TODA's book newly lights up the relation between physics and language. This relation is really fantastic for me from now on.
 
[References]
  1.     Bend     
  2.      Distance 
  3.      S3 and Hoph Map
 
[References 2]
 
 
Tokyo
19 May 2016

SRFL Theory
 
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This paper is unfinished.
 
Tokyo
20 May 2016
 

 



Read more: https://geometrization-language.webnode.com/news/karcevskij-conjecture-1928-and-kawamata-conjecture-2002-i-briefly-wrote-about-the-conjecture/



Read more: https://srfl-lab.webnode.com/products/karcevskij-conjecture-1928-and-kawamata-conjecture-2002-i-briefly-wrote-about-the-conjecture/

Friday 8 March 2024

Letter to Y. C. November 2023. Still continuing difficulty. Translated by Google

 

Letter to Y. C. November 2023.  Translated by Google
Still continuing difficulty 

Letter to Y. C. November 2023

Translated by Google
Original text is Japanese

 


 In my case, I loved poetry, and my teacher at university taught me haiku.

However, in the end, even though I was fully aware that I was untalented, I returned to the bottom of my studies.

I'm still in the process of being uncertain.

From my language teacher Eiichi Chino

 ``Don't do something so difficult.

 It's not what we do."

Although he was strongly scolded, he continued on his way.

 love language, 

 love mathematics,

 I love expressions in English,

For the past 20 years, that's pretty much all I've been doing.

It has been published on the Internet.

The essays posted on that relatively old site on the internet
were being read little by little around the world.

Over 200,000 pages in over 20 years

became.

My philosophy of expressing language through mathematics
remains unchanged.

It is said that language cannot be expressed in words.

Because it's at my core.

Twenty years ago, the physics concept of quantum

I tried to express language using

Fortunately, this essay was rare;

International symposium held in Nara

I was one of the four presenters in the language and literature department.

However, at this stage, the quantum itself is notated mathematically.

I wasn't able to do that.

However, from around 2000 , the mathematical concept of quantum groups
began to become popular, and now the physical concept of quantum has become popular.

It is now possible to express it clearly in mathematics.

This is my current stage.

Still, I don't understand anything about the language itself.

That is my current situation. 


TANAKA Akio

7 March 2024

Hills West Tokyo

Farewell to Language Universals

 

Farewell to Language Universals


18/03/2020 19:40
Farewell to Language Universals


I ever thought of language from the core elements usually assumed as one of language universals.
Every element has been important for language phenomena, but selecting these elements from the infinite language itself seemed to be arbitrary for me now.
So the below quoted every paper are considered to be the important aspect for my study now.
Mathematical description for three elements of language universals
Energy, dimension and distance can be described by mathematical writing.
Energy in language is now preparatory description til now.
vide:

  1. Energy of Language / Stochastic Meaning Theory
  2. Energy and Distance / Energy Distance Theory
  3. Energy and Functional / Energy Distance Theory
  4. Potential of Language / Floer Homology Language

For dimension, definite results are presented being aided by arithmetic geometry.
vide:
  1. Three Conjectures for Dimension, synthesis and Reversion with Root and Supplement
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:
  1. Distance / Direct Succession of Distance Theory / Distance Theory Algebraically Supplemented
  2. Distance of Word / Complex Manifold Deformation Theory
This paper is not finished.

Tokyo
27 February 2015
SIL

Read more: https://srfl-essay.webnode.com/news/at-least-three-elements-for-language-universals/ 

The upper paper, titled as Mathematical description for three elements of language universals, is now one of the most fundamental studies of language at present outlook.

Tokyo
28 February 2020
SRFL Paper

[Note]
28 February 2020
I ever wrote a essay titled Half Farewell to Sergej Karcevskij and the Linguistic Circle of Prague
Read more: https://srfl-paper.webnode.com/news/half-farewell-to-sergej-karcevskij-and-the-linguistic-circle-of-prague-with-references/

Half Farewell to Sergej Karcevskij and the Linguistic Circle of Prague with References

TANAKA Akio

I have thought on language through the rich results of the linguistic Circle of Prague and its important member Sergej Karcevskij.
But now my recent thinking has inclined towards algebraic or arithmetic geometrical method and description. Probably it is the time of half farewell to those milestones which led me to the standing place here with rather sufficient results in my ability. Great thanks to all that always encouraged me for hard and vague target on language especially meaning and its surroundings. And also to CHINO Eiichi with love and respect who taught me all the bases of language study.
For recent results see the following papers group named AGL Arithmetic Geometry Language and related essays.

Tokyo
23 October 2013
Sekinan Research Field of Language

[References]
Papers
Arithmetic Geometry Language (AGL)
Dimension of Language (AGL 1)
Synthesis of Meaning and Transition of Dimension (AGL 2)
Birth of Word, Synthesis of Meaning and Dimension of New Word (AGL 3)
Dimension Conjecture at Synthesis of Meaning (AGL 4)Essays
Parts and Whole
Edward Sapir's Language, 1921
Macro Time and Micro Time
Meaning Minimum
Disposition of Language

24 September 2014, references added
Sekinan Research Field of Language


Read more: https://geometrization-language.webnode.page/news/farewell-to-language-universals/ 

Home Site. Hills West Tokyo. 4 February 2024 Renewed

 

   

Archive
Hills West Tokyo
4 February 2024  
Risshun-The first day of spring, Old lunar calendar in Japan



Thursday 7 March 2024

Article Archive 1-70

 

Article Archive  1-70


 Article Archive 66-70 Quantum Theory for Language and early papers

Article Archive 61-65 Letter to WPM, Y, Sebastian, O, RM, C and the Library


Article Archive 51-60 Essay, Paper, Theory and Letter




Article Archive 1-50. Paper, Essay and Letter



TANAKA Akio
2 February 2024
Hills West Tokyo