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Intuition and Mathematics through Chinese classic Yi-jing. 2012-2019

 

Sep 21, 2021

Intuition and Mathematics

What NISHI Junzo remained for us 2

TANAKA Akio                                    

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 taken up using mathematics especially of geometry. 

But at the deepest basis of language, time is seemed to be infinitive but not spread with 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.  

Tokyo
30 August 2012
8 September 2019 Text revised
SRFL Paper

Language Universal Models 2013

  Wednesday, 20 March 2013

Language Universal Models

Sekinan RFL 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 theorom / Finiteness of Words 8.2 Noguchi, Winkelmann theorem / Dimension of Word Appendix　Bibliography

［和訳］Ocean Eyes - Billie Eilish

Billie Eilish - Six Feet Under | Sofar Los Angeles

Meaning minimum / On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi

 

Meaning minimum
On Roman Jakobson, Sergej Karcevskij and CHINO Eiichi

TANAKA Akio
ifbetrue
6 April 2013

1.
Meaning minimum is one of the kernel concepts for the model of language universals on my study. The concept was at first thought from Roman Jakobson's semantic minimum on which I first read at his book, ESSAIS DE LINGUISTIGUE GENERALE, 1973.　His concept was yet intuitive at the linguistic study  history in the latter half of the 20 th century.Comparison with his concept, my definition of meaning minimum was a certain basis prepared in the learning of mathematics, especially on algebraic geometry, that is the most fantastic approach to the construction of the language model. But the contents of meaning minimum is vacant. This concept shows the minimum unit of one big constructive meaning of word. meaning minimum seems to be correspondent with element of set theory, which theory and foundations of mathematics had been my favourite mathematical basis in 1970s, my youth time. Bourbaki was always echoed around us. Grothendieck was a highest star in this world.
2.
Time went vast from at that time. Set theory became one of the premise field of mathematics. But in my part, set theory's agenda was put at a another point. Because language has a certain expanded world that seems to be continuous. Set theory's atomic discreteness does not match in my primary learning level.  So, in my  age 30s, I had sank in the philosophically intuitive thinking often referring the tradition of 1920s, especially of the Linguistic Circle of Prague. On the circle my teacher CHINO Eiichi had taught me from time to time on the campus of university or coffee shop near the station we used. CHINO had gone to the Czechoslovakia Republic from 1959 to 1967. I first met him in 1969 at his Russian class at my  third year of university student. I was the age 21 and he was 37.
3.
At the age 23's 1971 spring,  I graduated university and  once became a high school's teacher and again returned back to university in 1979 after 8 year job of the school. At that time I thought of characters' distinctive features on Written  Chinese classics. I mainly read WANG Guowei, ZHANG Binglin, DUAN Yucai, WANG yinzhi guiding by Japanese modern scholoar KANO Naoki. Expressly I had attracted to  WANG guowei and his book Guantangjilin. Besides reading these China's Qing dynasty's linguistic peaks, I had always thought on Ludwig Wittgenstein for his endless pursuit on language. So I resigned school and came back to the campus where I again met with CHINO. I was age 30s and he was 50s. He was already the big scholar at the linguistic field  but I was a poor return student. But I dare to say we were colleagues for language study. He taught me the detailed and strict tradition of the linguistic Circle of Prague. He frequently talked on Sergej Karcevskij and his eminent discernment on language. In the later year's masterpiece, Janua Linguisticae Reserata, 1994, he wrote only Karcevskij as genius in the great linguists.
4.
Being led by CHINO, I again started linguistic learning on meaning that I had been interested in from my 20s but too hard to approach by my talent. This time I had Karcevskij's fine insight to meaning enough absorbing the fertile tradition of Prague, where also exist Jakobson and Mathesius. Through the learning I gradually lean to desire to write clear definitions on language. I again remembered the little learning of my 20s age's mathematics. Bourbaki, Godel, TAKEUCHI and their set theory, foundations of mathematics and that Incompleteness theorem. I had learnt mathematics little by little, inch by inch.
5.
CHINO Died in 2002 at age 70 and I became 55. The next year 2003, I wrote a short paper titled "Quantum Theory for Language". This paper was showed at a international symposium on Silk road for dealing with language from Chinese characters on linguistic viewpoint. I knew  that Asian civilisation and history had great concern not only from Asia but also European continents. At the symposium some 400 researchers gathered in the various scholarly fields. It was a awesome encounter for my study, namely, East meet West. Probably Chinese character's agenda will be written by Europe oriented mathematics. WANG Guowei will meet with karcevskij mediated through mathematics' description. The target confronted at that time was time inherent in characters, or time in word.  In Chinese, particularly in classical written Chinese, all the characters show enough independent meaning in one character probably including even time. It was my first conjecture taught from Karcevskij and CHINO. Meaning minimum is on the boat going across to the opposite shore. This metaphor was derived from WANG Guowei's famous paper, "Yin- bu zhong suojian xiangong xianwang kao"
6.
The concept of time inevitably led to the distance of distance. In 2004, I wrote a paper titled "Distance Theory". But the paper was yet intuitive and not clear for descriptive definition. So hereinafter I learnt algebra inch by inch assisting with the rich imagine of geometry. In the centre of learning, always exist time that connotes finiteness and infinity. But infinity is not easily obtained without probably only loop space at the present. And again returns back to meaning minimum as the passenger of the boat named time property inherent. This time the passenger on the boat  is called operad or algebraic language.
7.
After all I came back to the very dream that I had embraced since the high school days. It was  a fundamental ask on language related with mathematics and physics. The root of language would be able to describe by mathematics and physics. In my mind language is always put at the centre of the pursuit that was what anyone can clearly understand. Description by mathematics, but physics why. Physics treats with substance that constructs the world in which I had desire to let language enter. Substantial language. It was my dream and will be hereafter.

References
1.
<Meaning minimum>
Cell Theory Continuation of Quantum Theory for Language / From Cell to Manifold For LEIBNIZ and JAKOBSON / Tokyo June 2, 2007
<Bourbaki>
The Time of Language Ode to The Early Bourbaki To Grothendieck / January 10, 2012
2.
<CHINO Eiichi>
Fortuitous Meeting What CHINO Eiichi Taught Me in the CLass of Linguistics / Tokyo December 5, 2004
<The Linguistic Circle of Prague>
Linguistic Circle of Prague / Tokyo 13 July 2012, 19 July 2012 Added
3.
<WANG Guowei>
The Complete Works of WANG Guowei / Tokyo 24 May 2012
<Ludwig Wittgenstein>
The Time of Wittgenstein / Tokyo January 20, 2012
<Sergej Karcevskij>
Notes for KARCEVSKIJ Sergej / Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique" / Tokyo September 8, 2011
4.
<Set Theory>
Quantum Linguistics / Growth of Word Dedicated to TAKEUCHI Gaishi / Tokyo January 30, 2006
5.
<Quantum Theory for Language>
Quantum Theory for Language Synopsis / Tokyo January 15, 2004
<Time inherent in characters>
On Time Property Inherent in Characters / Hakuba March 28, 2003
6.
<Distance>
Distance Theory / Tokyo May 5, 2004
<Meaning minimum and distance>
sekinanlogos / Floer Homology Language / Supersymmetric Harmonic Oscillator / Tokyo May 6, 2009
<Loop space>
sekinanmodel / Infinite Loop Space Language / Word as Infinite Loop Space / 6 December 2012
<Operad>

ifbetruezoho / Operad Meaning Theory / From Cell to Operad / 4 March 2013

7.
<Description>
sekinanmetria / Notes for KARCEVSKIJ Sergej / Description of Language / September 9, 2011
<Substantiality>
sekinanlogos / Floer Homology Language / Potential of Language / Tokyo June 16, 2009
<Amalgation>
Language, amalgation of mathematics and physics / ifbetrue 2 April 2013

# Here ends the paper.

Read Andre Martinet

 

Read Andre Martinet

Read Andre Martinet 

 

21jan13

Reread Andre Martinet’s ELEMENTS DE LINGUISTIQUE GENERALE, 1970. When I was a student in 1970s, the book was already determined the established reputation. Now at rereading, I confirmed that one of his most concerned thing was the amalgamation of moneme, which is still radically never solved . But by his approach or any other similar approached researchers, Martinet-like style of studying is very difficult to progress. I have taken the another way to think on the themes influenced from KARCEVSKIJ Sergej (the early example ;Holomorphic meaning Theory 2008 ) by using the mathematical methods, especially algebraic geometry.

Recent result on the relation between characters and time in language is shown below.
Time of WANG Guowei, 2011, sekinanmetria 

Tokyo
16 July 2012

On WANG Guowei, refer to the next.

The Time of WANG Guowei

Tokyo

21 January 2013 added

Another pass way to mathematics

 

Saturday, 27 July 2013

Another pass way to mathematics

Another pass way to mathematics 

 

02jan13

In some 40 years I had concerned with mathematics to which I only had read several books as if it is  the books of arts, for example, the verses of Chinese classics that are always obscure to understand by my Chinese ability. On the Tang Dynasty’s famous poet, DU fu’s work I had not clearly understood, probably till now. But the works are all pleasant in its own way. As like them mathematics I had read some books and papers. Definitely  I could not make DU Fu-like work. But I liked DU Fu so much. And I also cannot understand mathematics anymore, but also like it. If there be not valuation that is usual done at school, more people maybe like it as same as they read poems putted before them. Mathematicians are put to study stern logics for its long history while the poets make poems that need severe rules of rhythm and meaning. That is all, for my standpoint on mathematics or Chinese classics or my life.