Road to Language Universals
TANAKA Akio
Sekinan Research Field of Language was established in 2003 for the study on language universals, that was the core theme since my youth time some 40 years ago in the 1970s. But real start was much later in the late 1980s.
In 1986 I established the Sekinan Library for the base of study at Tachikawa, Tokyo. At that time my main theme was declined to the study of old Chinese character's classical semantics using the traditional study of the form of characters reading Qing Dynasty's WANG Guowei. The study from the direction had not given me so rich results. I at the same time read some mathematical books influenced from Bourbaki that was the big stream in 1970s in Japan. Set theory represented by Gödel was also the favourite at the time.
In 1990s I determined the direction of study only to language universals taught from CHINO Eiichi, one of the modern typical philologists of Japan. He taught me almost all the aspects of European philology that were unknown for me. In the various themes he gave me, the most impressive was the existence of the Linguistic Circle of Prague. Above all Sergej Karcevskij was overwhelmingly deep and moving. But Karcevskij's approach was seemed to be intuitive and far from clear descriptiveness.
I began to learn the theme hinted by Karcevskij while learning Gödel, Bourbaki and Wittgenstein that was also gave me the big influence form the age 20s. I had frequently read Wittgenstein's TRACTATUS. But my base of math was so poor and never became the descriptive use for language's delicate phases. So I again restarted math from geometry that gave the most familiar and clear image for me. My intuitive image and basic math description were seemed to be able offer in nearly millennium days.
In spring 2003 I knew the application paper for the international symposium held by a certain institute. I arranged the short paper for it till early summer and sent it. The paper was happily adopted as one of the language and literature section of the symposium. The paper's title was Quantum Theory for Language. It was again arranged next year 2004 as the title Quantum Theory for Language synopsis.
The establish date of Sekinan Research Field of Language was 23 August 2003, that was the date of completion of proto-conceptive paper of Quantum Theory for Language at the hutte in Hakuba, Nagano. Now the time passed rapidly 10 years. The home site, sekinan, has become full by the papers accumulation. So the new site has become indispensable.
Tokyo
31 December 2012
Sekinan Research Field of Language
Postscript
New Site for Sekinan Research Field of Language
Sekinan Study
Tokyo
14 July 2015 Added
SRFL News - The Gate of Honen-in Temple, Shishigatani, Sakyoku, Kyoto, established in 1681
Monday, 28 December 2015
Sunday, 27 December 2015
Inspiration The Time of Quantum
Inspiration The Time of Quantum
TANAKA Akio
In August 2003, I went to Hakuba in Nagano prefecture for the summer vacation with my family. At that time I had been thinking on the form of language for which I wrote the paper, that connects with time inherent in characters, in March 2003 also at Hakuba.
At night of August 23 in cottage, I casually saw the advertising paper of electric dictionary. The paper was brought from the convenience store near the cottage in the evening. The dictionary on the paper was Seiko’s English-Japanese dictionary that has additionally consultation for Chinese or French language with large scale. I vaguely considered that after this dictionaries are necessarily taken these multi-lingual way.
At the time I suddenly realized that the form of language may be spherical style in which language contains all the information in itself.That was rather satisfied solution for the tough problem of language that I had been carrying in my life from my twenties.
I wrote the sketch-like paper of the theoretical approach after returning home of Tokyo. The paper was read at the international symposium of UNESCO opened in winter 2003 at Nara. In the paper, the spherical substance of language is seemed to be quantum in DELBRUCK’s image-like physical world. After 5 years from the inspiration at summer of Hakuba, now I consider that spherical essence is manifold in infinite dimensional world.
Now I also realize that the toughest problem of language is minutely solvable in mathematical approach that has structurally definable terms.
Tokyo
September 29, 2008
Sekinan Research Field of Language
[January 23, 2012]
The title changed.
The former title is “From Quantum to Manifold”.
[Postscript. January 25,2012]
On quantization of Language.
Refer to the next.
Quantization of Language
TANAKA Akio
In August 2003, I went to Hakuba in Nagano prefecture for the summer vacation with my family. At that time I had been thinking on the form of language for which I wrote the paper, that connects with time inherent in characters, in March 2003 also at Hakuba.
At night of August 23 in cottage, I casually saw the advertising paper of electric dictionary. The paper was brought from the convenience store near the cottage in the evening. The dictionary on the paper was Seiko’s English-Japanese dictionary that has additionally consultation for Chinese or French language with large scale. I vaguely considered that after this dictionaries are necessarily taken these multi-lingual way.
At the time I suddenly realized that the form of language may be spherical style in which language contains all the information in itself.That was rather satisfied solution for the tough problem of language that I had been carrying in my life from my twenties.
I wrote the sketch-like paper of the theoretical approach after returning home of Tokyo. The paper was read at the international symposium of UNESCO opened in winter 2003 at Nara. In the paper, the spherical substance of language is seemed to be quantum in DELBRUCK’s image-like physical world. After 5 years from the inspiration at summer of Hakuba, now I consider that spherical essence is manifold in infinite dimensional world.
Now I also realize that the toughest problem of language is minutely solvable in mathematical approach that has structurally definable terms.
Tokyo
September 29, 2008
Sekinan Research Field of Language
[January 23, 2012]
The title changed.
The former title is “From Quantum to Manifold”.
[Postscript. January 25,2012]
On quantization of Language.
Refer to the next.
Quantization of Language
Climbing to the Happoike Highland Pond, Nagano
Afar seen the Hakuba Range
Photo taken at 24 August 2013
Afar seen the Hakuba Range
Photo taken at 24 August 2013
Friday, 18 December 2015
Disposition of Language
Disposition of Language
TANAKA Akio
Language probably possesses the disposition not to disturb the thinking of human being.
Now I cannot find any clue for entering this difficult theme. What I know is that I can show some examples for the wonder of the disposition of language as the following.
..............................................................................................................
Chinese classical writing form is one variation of vast forms of languages. It is strictly depending the disposition as the following.
<Wo ai ni.> means <I love you.>
The upper example shows the strict direction rule to read from left to right.
If this rule is neglected and the below example to read from right to left,
<Ni ai wo.> means <You love me.>
Disposition 1.
Language has direction.
I ever wrote a trial paper titled "Direction" in 2004, that is dedicated to Sergej Karcevskij.
..............................................................................................................
Language frequently shows True-false problem like "The Crete's lie".
The details are shown at the papers in SRFL's library.
Disposition 2.
Language has dimension.
...............................................................................................................
Language is said to be changeable like "old meaning" and "new meaning".
If this changeability be true, from where one meaning becomes "old" and becomes "new".
This situation hints me the existence of basic point in language.
Disposition 3.
Language has basic point.
................................................................................................................
At Disposition 3. the difference between "old meaning " and "new meaning" is supposed to be shown by the distance from the basic point.
Disposition 4.
Language has distance.
.................................................................................................................
Language's disposition seems to be macro rule but also shows the phases of the micro rule like the description of "meaning"at Disposition 4. The example is the following.
..................................................................................................................
Results till present
Disposition shows the clear and linear development of human thinking from the so called chaos situation of human brain's inner events. But I do not deal with the situation related with inner events. I only deal with the outer and statistic situation being accomplished as language. Several concepts in mathematics are probably useful to describe the disposition, such as oriented, dimension, cardinal point, distance and so forth. Some phases have been studied using mainly algebraic algebra at the Zoho sites of SRFL. Details are shown at the below.
....................................................................................................................
Study after this
I would challenge Disposition 1. Direction because this field seems to be related with group theory, especially with finitely generated group and its surroundings or development, for example Bers-Thurston conjecture, "All the infinitely generated Klein group is algebraic limit of geometrical infinite group".
Tokyo
12 September 2014
Sekinan Research Field of Language
Language probably possesses the disposition not to disturb the thinking of human being.
Now I cannot find any clue for entering this difficult theme. What I know is that I can show some examples for the wonder of the disposition of language as the following.
..............................................................................................................
Chinese classical writing form is one variation of vast forms of languages. It is strictly depending the disposition as the following.
<Wo ai ni.> means <I love you.>
The upper example shows the strict direction rule to read from left to right.
If this rule is neglected and the below example to read from right to left,
<Ni ai wo.> means <You love me.>
Disposition 1.
Language has direction.
I ever wrote a trial paper titled "Direction" in 2004, that is dedicated to Sergej Karcevskij.
..............................................................................................................
Language frequently shows True-false problem like "The Crete's lie".
The details are shown at the papers in SRFL's library.
Disposition 2.
Language has dimension.
...............................................................................................................
Language is said to be changeable like "old meaning" and "new meaning".
If this changeability be true, from where one meaning becomes "old" and becomes "new".
This situation hints me the existence of basic point in language.
Disposition 3.
Language has basic point.
................................................................................................................
At Disposition 3. the difference between "old meaning " and "new meaning" is supposed to be shown by the distance from the basic point.
Disposition 4.
Language has distance.
.................................................................................................................
Language's disposition seems to be macro rule but also shows the phases of the micro rule like the description of "meaning"at Disposition 4. The example is the following.
..................................................................................................................
Results till present
Disposition shows the clear and linear development of human thinking from the so called chaos situation of human brain's inner events. But I do not deal with the situation related with inner events. I only deal with the outer and statistic situation being accomplished as language. Several concepts in mathematics are probably useful to describe the disposition, such as oriented, dimension, cardinal point, distance and so forth. Some phases have been studied using mainly algebraic algebra at the Zoho sites of SRFL. Details are shown at the below.
....................................................................................................................
Study after this
I would challenge Disposition 1. Direction because this field seems to be related with group theory, especially with finitely generated group and its surroundings or development, for example Bers-Thurston conjecture, "All the infinitely generated Klein group is algebraic limit of geometrical infinite group".
Tokyo
12 September 2014
Sekinan Research Field of Language
Thursday, 17 December 2015
Three Themes on Language / Sekinan Study
Three Themes on Language
TANAKA Akio
Tokyo
17 December 2015 Reprinted from Sekinan Research Field of Language
Sekinan Study
Tokyo
17 December 2015 Reprinted from Sekinan Research Field of Language
Sekinan Study
Flow of Language / Heritage of WANG Guowei and Edward Sapir
Flow of Language
Heritage of WANG Guowei and Edward Sapir
TANAKA Akio
Description form succeeds Ludwig Wittgenstein.
....................................................................................................................
0.Progress so far
...................................................................................................................
1. Language is substance.
2. Language has structure.
3. Language has dimension.
4. Language has energy.
5. Language has flow.
6. Language has time.
.......................................................................................................................
Note
1.
At this paper, the most important theme is "5. Language has flow." For this theme, clear and mathematical description must be proposed for the further research's development. Its premise by mathematical basic description is shown at
2.2 Homology Structure of Word / Floer Homology Language / 16 June 2009
4.2 Potential of Language / Floer Homology Language / 29 April 2009
2.
The intuitive concept of flow of language was prepared by WANG Guowei's Guantangjilin and Edward Sapir's Language for my study.
For WANG Guowei / A Letter / 11 March 2003
Edward Sapir's Language, 1921 / 5 September 2014
3.
Mathematical approach will be done by geometry that is the most image-able for me. Many thanks to the contemporary mathematicians for their radical works.
........................................................................................................................
This paper is still continued.
Tokyo
26 September 2014
SRFL Sekinan Research Field of Language
TANAKA Akio
Description form succeeds Ludwig Wittgenstein.
....................................................................................................................
0.Progress so far
...................................................................................................................
1. Language is substance.
2. Language has structure.
3. Language has dimension.
4. Language has energy.
5. Language has flow.
6. Language has time.
.......................................................................................................................
Note
1.
At this paper, the most important theme is "5. Language has flow." For this theme, clear and mathematical description must be proposed for the further research's development. Its premise by mathematical basic description is shown at
2.2 Homology Structure of Word / Floer Homology Language / 16 June 2009
4.2 Potential of Language / Floer Homology Language / 29 April 2009
2.
The intuitive concept of flow of language was prepared by WANG Guowei's Guantangjilin and Edward Sapir's Language for my study.
For WANG Guowei / A Letter / 11 March 2003
Edward Sapir's Language, 1921 / 5 September 2014
3.
Mathematical approach will be done by geometry that is the most image-able for me. Many thanks to the contemporary mathematicians for their radical works.
........................................................................................................................
This paper is still continued.
Tokyo
26 September 2014
SRFL Sekinan Research Field of Language
Monday, 14 December 2015
Symplectic Language Theory Dialogue 1 On Structure
Symplectic Language Theory
TANAKA Akio
Dialogue 1
On Structure
For HORI Tatsuo, Footprints on the snow, 1946
Why do you think that language has structure?
_We have true-false problem since Greece had logic on language, Crete man tells himself a liar. The situation suggests that if language has structure and we see the structure's whole, there is no more problem in the upper funny but radical story.
Do you mention that language has dimensions in it for preventing the confusion?
_Surely dimension is an important factor of structure. But language is a vast building in which all the logisc and all the feelings are expressible for all the hope of human beings.
Then how the structure is built, do you imagine?
_I ever learned the history of Linguistic Circle of Prague, in which the most important hypothesis is said that language has function. Function is inevitably occurred following after the completion of structure, I think.
Do you say that from the observation of language function is adequately acceptable for structure's surface?
_Yes, I think so.
Then on inner structure of language, what do you think?
_At first, language has meaning. But it was put aside by Prague Linguistic Circle as the hardest problem on language for its ambiguity as MATHESIUS V. gave the famous lecture, Latency of language phenomena, 1911. I attracted the theme, language has ambiguity.
Did you go to Prague?
_No. I only heard on PLC from CHINO Eiichi. He learned linguistics at Prague, from 1958 to 1967. He gave me the basis of linguistics after his returning to Tokyo. I first met him at Tokyo 1969. I learned Russian at that time in the small class. He was young at 37, and I also young too at 21.
You really respect CHINO.
_I remember him respectfully, but more frequently merrily, for his fantastic conversation to the younger beginner, studying language from various fields, from art to classical languages at the university.
On language, ambiguity is important?
_Undoubtedly. CHINO gave me the concept of asymmetric dualism of linguistic sign. The paper was written by KARCEVSKIJ Sergej at 1929. Precisely to say, "Du dualisme asymétrique du signe linguistique", Travaux du Cercle Linguistique de Prague 1.
From ambiguity to structure, through what course did you choose?
_I took the road from the minimum unit of meaning that was extracted by WANG Guowei's GUANTANG JILIN, the book was real youth of my life, for which I named <meaning minimum> by reference of JAKOBSON Roman's concept <semantic minimum>. I dearly remember CHINO's warm advice "not to enter such a theme that are firstly treated by WITTGENSTEIN-like person. We are not invited", backing to the railway station from the university, after his lecture on linguistics at early summer twilight.
<Meaning minimum> is your starting point, I recognized. After that, To where did you go?
_At first, from set theory. I ever learned it mainly from TAKEUCHI Gaishi's papers. Now I yet like his approch to the mathematical object. And I, at that time, also came under the influence of LÉVI-STRAUSS Claude.
That course was productive to you?
_It is a difficult question. For first step of my study, partly yes and mostly no.
Mostly no, for what?
_For me the most important is the relation between <meaning minimum>s. But set theory is not efficient for that direction.
Is relation important?
_Perhaps yes.
Why?
_Back to MATHESIUS's <latency> or KARCEVSKIJ's <asymmetric duality>, there exists relationship between one meaning and another meaning. For me, this relationship is not able to be handled by my set theory's level. But set theory is enough charming for its elemental simplicity.
And where did you go to the next?
_Geometry. It is the most natural and fantastic approach by its freely intuitive methods.
Intuition is surely familiar. But selection is only done by such reason?
_I have not any other choices at considering my mathematical level then.
Geometry was respondent to your hope?
_Yes, absolutely yes. As people say that geometry is a heimat of mathematics, I really think so.
Geometry is more easily way to approach for you?
_Repeatedly say, I have not any choices at that time. Meeting with geometry, I often wrote various figures containing topological ones, for instance at on the train to the town in which mother is under medical care.
Such drawings can express language's validity?
_Much interesting to express but the themes containing validity of language and so forth are very hard to access.
Why?
_Relationship among language inside is far away beyond my amateurishly imaginary figures.
And after that?
_I came here, at my present mathematical situation as PENROSE Roger said in his book THE ROAD TO REALITY, that mathematics is the most highly investigational way for the study of universe. His confidence to mathematics is put up on my home page of Sekinan Research Field of Language.
Where do you stand now?
_Symplectic geometry.
Why do you stand there?
_Also natural for me. And freely thinkable.
Freely thinkable, what imagine by that?
_Mathematics is radically free. Just like a wind at high lands, far-sighted and transparent.
Mmm. Transparent.
_Yes,perfectly transparent. In contrast with language. Language is always having ambiguity.
Ambiguous language and transparent mathematics.
_That's all.
Many thanks today.
_It's my pleasure.
Tokyo
12 March 2009
14 December 2015 Revised
Sekinan Research Field of Language
Read more: http://srfl-paper.webnode.com/news/symplectic-language-theory-dialogue-1-on-structure-for-hori-tatsuo-footprints-on-the-snow-1946/
TANAKA Akio
Dialogue 1
On Structure
For HORI Tatsuo, Footprints on the snow, 1946
Why do you think that language has structure?
_We have true-false problem since Greece had logic on language, Crete man tells himself a liar. The situation suggests that if language has structure and we see the structure's whole, there is no more problem in the upper funny but radical story.
Do you mention that language has dimensions in it for preventing the confusion?
_Surely dimension is an important factor of structure. But language is a vast building in which all the logisc and all the feelings are expressible for all the hope of human beings.
Then how the structure is built, do you imagine?
_I ever learned the history of Linguistic Circle of Prague, in which the most important hypothesis is said that language has function. Function is inevitably occurred following after the completion of structure, I think.
Do you say that from the observation of language function is adequately acceptable for structure's surface?
_Yes, I think so.
Then on inner structure of language, what do you think?
_At first, language has meaning. But it was put aside by Prague Linguistic Circle as the hardest problem on language for its ambiguity as MATHESIUS V. gave the famous lecture, Latency of language phenomena, 1911. I attracted the theme, language has ambiguity.
Did you go to Prague?
_No. I only heard on PLC from CHINO Eiichi. He learned linguistics at Prague, from 1958 to 1967. He gave me the basis of linguistics after his returning to Tokyo. I first met him at Tokyo 1969. I learned Russian at that time in the small class. He was young at 37, and I also young too at 21.
You really respect CHINO.
_I remember him respectfully, but more frequently merrily, for his fantastic conversation to the younger beginner, studying language from various fields, from art to classical languages at the university.
On language, ambiguity is important?
_Undoubtedly. CHINO gave me the concept of asymmetric dualism of linguistic sign. The paper was written by KARCEVSKIJ Sergej at 1929. Precisely to say, "Du dualisme asymétrique du signe linguistique", Travaux du Cercle Linguistique de Prague 1.
From ambiguity to structure, through what course did you choose?
_I took the road from the minimum unit of meaning that was extracted by WANG Guowei's GUANTANG JILIN, the book was real youth of my life, for which I named <meaning minimum> by reference of JAKOBSON Roman's concept <semantic minimum>. I dearly remember CHINO's warm advice "not to enter such a theme that are firstly treated by WITTGENSTEIN-like person. We are not invited", backing to the railway station from the university, after his lecture on linguistics at early summer twilight.
<Meaning minimum> is your starting point, I recognized. After that, To where did you go?
_At first, from set theory. I ever learned it mainly from TAKEUCHI Gaishi's papers. Now I yet like his approch to the mathematical object. And I, at that time, also came under the influence of LÉVI-STRAUSS Claude.
That course was productive to you?
_It is a difficult question. For first step of my study, partly yes and mostly no.
Mostly no, for what?
_For me the most important is the relation between <meaning minimum>s. But set theory is not efficient for that direction.
Is relation important?
_Perhaps yes.
Why?
_Back to MATHESIUS's <latency> or KARCEVSKIJ's <asymmetric duality>, there exists relationship between one meaning and another meaning. For me, this relationship is not able to be handled by my set theory's level. But set theory is enough charming for its elemental simplicity.
And where did you go to the next?
_Geometry. It is the most natural and fantastic approach by its freely intuitive methods.
Intuition is surely familiar. But selection is only done by such reason?
_I have not any other choices at considering my mathematical level then.
Geometry was respondent to your hope?
_Yes, absolutely yes. As people say that geometry is a heimat of mathematics, I really think so.
Geometry is more easily way to approach for you?
_Repeatedly say, I have not any choices at that time. Meeting with geometry, I often wrote various figures containing topological ones, for instance at on the train to the town in which mother is under medical care.
Such drawings can express language's validity?
_Much interesting to express but the themes containing validity of language and so forth are very hard to access.
Why?
_Relationship among language inside is far away beyond my amateurishly imaginary figures.
And after that?
_I came here, at my present mathematical situation as PENROSE Roger said in his book THE ROAD TO REALITY, that mathematics is the most highly investigational way for the study of universe. His confidence to mathematics is put up on my home page of Sekinan Research Field of Language.
Where do you stand now?
_Symplectic geometry.
Why do you stand there?
_Also natural for me. And freely thinkable.
Freely thinkable, what imagine by that?
_Mathematics is radically free. Just like a wind at high lands, far-sighted and transparent.
Mmm. Transparent.
_Yes,perfectly transparent. In contrast with language. Language is always having ambiguity.
Ambiguous language and transparent mathematics.
_That's all.
Many thanks today.
_It's my pleasure.
Tokyo
12 March 2009
14 December 2015 Revised
Sekinan Research Field of Language
Read more: http://srfl-paper.webnode.com/news/symplectic-language-theory-dialogue-1-on-structure-for-hori-tatsuo-footprints-on-the-snow-1946/
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