Wednesday, 30 December 2020
Letter to WPM. Maria Pires’ Schumann KINDERSZENEN 19 June 2020. P.S. added 9 August 2020 Generation Theorem Reprint 31 August 2020 :: Geometrization Language
Sunday, 27 December 2020
Language between Sergej Karcevskij and string theory, one century's trace / Print Edition. PDF :: SRFL Paper
The comparison between 2003 and 2017. From Chinese character's meaning structure to Homological algebraic model of language universals :: SRFL Paper
To Winter 2015. 8 Figure - HAYASHI Inao, WANG Bi, OSHIKA Ken-ichi, Ludwig Wittgenstein, George Kingsley Zipf, Kurt Godel and CHINO Eiichi. Translated by Google translate 2020 :: SRFL Paper
Kurt Godel and CHINO Eiichi. Translated by Google translate 2020 :: SRFL P
Sunday, 20 December 2020
Monday, 14 December 2020
Friday, 11 December 2020
Saturday, 5 December 2020
Thursday, 3 December 2020
Friday, 27 November 2020
For MAC LANE Saunders. Categorical Approach toward Language
For MAC LANE Saunders. Categorical Approach toward Language
For MAC LANE Saunders
Categorical Approach toward Language
Word Containing Time and 4 Dimensional Sphere
Tokyo April 5, 2007
Read more: https://srfl-paper.webnode.com/news/for-mac-lane-saunders-categorical-approach-toward-language/
The Days of Decipherment
The Days of Decipherment
The Days of Decipherment
TANAKA Akio
On 20 July 2016 I went Tokyo National Museum, Ueno Park, Tokyo to see the exhibition AJOURNEY TO THE IMMORTALS: TREASURES OF ANCIENT GREECE, where I saw the linear A and B. It reminds me the youth days, so to say, the days of decipherment.
1960s -1970s is the age of decipherment in a sense. I was age 20 in 1967 and was learning language and literature at university. In 1958 John Chadwick's THE DECIPHERMENT OF LINEAR B was published from Cambridge University Press. At the preface of the book he wrote that the decipherment of linear B was told at Documents in Mycenaean Greek (Cambridge University Press, 1956) and Michael Ventris that deciphered the Linear B.
In the same age in Japan, Xixia wenzi (Xixia characters) in China was deciphered byNISHIDA Tatsuo (1928-2012) who wrote the analysis and grammar of Xixia characters through the paper Seikamoji no bunseki narabini Seikago bunpou no kenkyuu in 1962.
In almost the same time, Inca characters were studying to decipher. I frequently heard that Russian team developed largely.
In early 1970s I frequently went to Kanda, Tokyo where old bookshops were selling vast Oriental books at the Hakusan street and Yasukuni Street. I bought Chinese classics, especially linguistic classics written in the Qing dynasty and I read them almost every day containing the comparison with the western linguistic results. The Qing dynasty's heritage were DUAN Yucai, WANG Niansun, WANG Yingzhi and WANG Guowei and so forth. DUAN Yucai's Showenjezi zhu and WANG Guowei's Guantang jilin were the most important for me.
In France, 1960s was the days of Bourbaki that was one of the decipher of geometry by algebra, at least I thought so at that time. I sought and bought several Bourbaki's books at the old bookshops in Kanda, Tokyo,which is the largest old bookshop streets in Japan. But from my ability to mathematics Bourbaki was too much difficult to read on. From the days the long and winding road began to mathematics and its applicable study for language universals.
At the exhibition of ancient Greece I confirmed in particular that the stability of language was kept by letters and characters from the Linear A and Linear B.
Exhibition Catalogue numbers are the next.
The numbers 39 and 40 are Linear A. 41 and 77 are Linear B.
39. Clay juglet c. 1800 B.C. ~ c. 1700 B.C.
40. Clay bar c. 1700 B.C. ~ c. 1650 B.C.
41. Clay tablet c. 1375 B.C. ~ c. 1350 B.C.
77. Linear B bar and tablet c. the 13th century B.C.
For my part the stability has been one of the biggest themes on language phenomena since I was taught from CHINO Eiichi through the results of the Linguistic Circle of Prague, especially of Sergej Karcevskij.
- 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
- Notes for KARCEVSKIJ Sergej / Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique"
Read more: https://srfl-paper.webnode.com/news/the-days-of-decipherment/
Essence of Language
Essence of Language
Essence of Language
Seeing the exhibition TREASURES OF ANCIENT GREECE, Tokyo National Museum
TANAKA Akio
20 July 2016 I went to see the exhibition A JOURNEY TO THE IMMORTALS: TREASURES OF ANCIENT GREECE being opened at Tokyo National Museum, Ueno,Tokyo.
At the exhibition I first saw Linear A and Linear B.
Exhibition Catalogue numbers are the next.
The numbers 39 and 40 are Linear A. 41 and 77 are Linear B.
39. Clay juglet
40. Clay bar
41. Clay tablet
77. Linear B bar and tablet
About the two Linear I knew the brief information from the book, THE DECIPHERMENT OF LINEAR B by John Chadwick, Cambridge University Press, 1960.
From the exhibition I also knew still now not to decipher the Linear A.
My simple impression is the next.
If the stability of language exist in the structure, the essence of language is appeared at the letters and characters. So I think. The core of this view contains the view for structure of language, which I would be able to write clearly using mathematics. For more details, refer to the reference 2.
References
A JOURNEY TO THE IMMORTALS: TREASURES OF ANCIENT GREECE [Exhibition Catalogue]. Tokyo National Museum et al. 2016.
THE DECIPHERMENT OF LINEAR B by John Chadwick, Cambridge University Press, 1960.
Reference 2
Perspective for Derived Category Language.Stability of Language
Reference 3
Derived Category Language, 23 July 2016 Edition
Tokyo
27 July 2016
SekinanLibrary
Tokyo National Museum, Ueno,Tokyo
Read more: https://srfl-paper.webnode.com/news/the-essence-of-language/
Duality of Language. Derived Category Language
Duality of Language. Derived Category Language
Duality of Language
1. Model
Calabi-Yau 3-folds.
2. Theorem
R. Pandharipande and R.P. Thomas.
Pandharipande-Thomas Theorem (1998).
K. Behrend.
Behrent contructable function (2009).
Y. Toda.
Generating functions of stable pair invariants via wall-crossing in derived categories in algebraic geometry. (2008)
Curve-counting theories via stable objects (2010).
T. Bridgeland.
Hall algebras and curve-counting invariants (2011).
D. Joyce and Y.Song.
A theory of generalized Donaldson-Thomas invariants. (2012)
3. Definition
Generalized DT invariants. ( Joyce and Song. 2012)
4. Isomorphism
Isomorphism is induced in the defined moduli spaces.
5. Duality and mirror
If language is identified as Calabi-Yau 3 folds, language inevitably induce dual or mirror element.
Reference
Rensetsuso no Doraiken ni kakawaru shomondai. TODA Yukinobu. 2016. Sugaku shobo. Tokyo.
Reference 2
Derived Category Language, 25 May 2016 Edition.
Reference 3.
Actual Language and Imaginary Language. To LÉVI-STRAUSS Claude.
Reference 4.
Symplectic Language Theory Note 3 Mirror Symmetry Conjecture on Rational Curve.
Symplectic Language Theory Note 6 Homological Mirror Symmetry Conjecture by KONTSEVICH.
Reference 5.
Main papers of Sekinan Library.
SRFL Paper.
Paper ends.
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This paper is unfinished.
Tokyo
22 July 2016
Sekinan Library
Read more: https://srfl-paper.webnode.com/news/duality-of-language-derived-category-language/
Derived Category Language 3
Derived Category Language 3
Language stability and triangulated category
[Epitome]
T. Bridgeland defined stability conditions on triangulated categories in 2007.
Language's stability presented by Sergej Karcevskij in 1928.
Bridgeland's stability seems to hint for Karcevskij's stability.
Stability conditions on triangulated categoriesData ( Z, A ) satisfies the next condition.
is bounded kernel of t-structure. gives stability condition on A .
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2.
[Paper on Karcevskij conjecture by TANAKA Akio 2011]
Condition of Meaning
TANAKA Akio
September 11, 2011
[Preparation]
Graded differential algebra
Minimal model of graded differential algebra
Degree of homogenious element x of graded differential algabra |x|
Basis of linear space is given by homogenious and elements x1, ....., xn
N (V) = L (V) k = N ( x 1 , ....., x n )
Operation of minimal model
Spherical surface Sn, n≥2
de Rham complex *(Sn)
When n iseaven number,
Volume element of Sn
Mn = Λ (x), |x| = n, dx = 0,
,
M2n-1 gives minimal model Sn to de Rham complex .
When n is odd number,
Mn gives minimal model Sn to de Rham complex .
[Interpretation]
Word is given by spherical surface.
Meaning of word is given by elements x1, ....., xn.
Word has minimal model.
Word becomes formal.
Fundamental group of word contains free group of rank b1(M).
Here KARCEVSKIJ's "stable part" is identified to fundamental group and " mobile part" is identified to free group.
Refer to the paper Notes for KARVESKIJ Sergej "asymmetric Dusualisme the linguistic sign" .
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3.
[Paper on description of language by TANAKA Akio 2011]
Description of Language
TANAKA Akio
September 9, 2011
Manifold M
Cup product map of M
Dual map of
Free Lie algebra that generates £ ( )
is identified as the partial space of £( ) that quadrastic Lie bracket of generates.
Ideal of £( ) that Im η generates a
Holonomy Lie algebra of M
Completion of holonomy Lie algebra
If M has quadrastic homology connection, Malcev completion becomes isomorphic with holonoly Lie algebra completion .
Primary minimum model M(1)of differential manifold M is isomorphic with Malcev completion of of M's fundamental group.
For the description of a language model there is a need primary minimum model M(1) of differential manifold M.
This paper has been published by Sekinan Research Field of Language.
All rights reserved.
© 2011 by The Sekinan Research Field of Language
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4.
[Note]
If word satisfies Bridgeland 2002's Data{Z, A] , word has a stability in language.
For the problem of additional meaning refer to Karcevskij conjecture 1928 and Kawamata conjecture 2002.
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#This paper is unfinished
Tokyo
25 May 2016
SRFL Theory
Read more: https://srfl-theory.webnode.com/news/derived-category-language-3/