Saturday, 9 March 2019

What is signal? The existence that generates language Preface-Main Issue 3 / 9 March 2019 Revised



The existence that generates language
2018-2019

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References
Reference is cited from the papers written
at SekinanLibrary and SRFL
28 February 2019

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Main Issue 1
Quantum Group Language
Main Issue is written titled as Quantum group language 
abbreviated to QGL.
2 March 2019

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Main Issue  2

The Premise for Quantum Group Language 


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Main Issue 3

Contents

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Text 1
Quantum Group Language   
Word Indexed and Word Synthesized 
TANAKA Akio
1.
Word Synthesized is the word that is synthesized meanings in a word by arithmetic or algebraic  geometrical method.
For detailed refer to the next.
Arithmetic Geometry Language 2013
Algebraic Geometry Language 2014

2.
Word Indexed is the word that has index in a word, by which meanings are separated in a word at waiting situation. In a word meanings are combined by algebraic axioms and theorems starting from group theory.
Word Indexed seems to be more simply structure than Word Synthesized.
Word indexed basis is at the below.
Kac-Moody Lie Algebra Note 1 Kac-Moody Lie Algebra 2008
Kac-Moody Lie Algebra Note 2 Quantum Group  2008
The details of Word Indexed will be shown the papers after this.

3.
Meanings contained in Word Indexed is deeply related with quantization and discreteness.
Refer to the next.
Floer Homology Language Note 7 Quantization of Language 2009
Floer Homology Language Note 8 Discreteness of Language 2009

4.
All the basis of Word Indexed is generated at the next.
Manuscript of Quantum Theory for Language  2003 


Reference
Kac-Moody Lie Algebra  2008
Theory 2003-2016  2018
Genealogical Tree of Sekinan's Paper 7th Edition  2015-2018


This paper is unfinished.

Tokyo
13 July 2018
SRFL Lab



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Text 2

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.
Notation mark # shows the mathematical approach to the themes.
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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.

  1. Direction / For KARCEVSKIJ Sergej / 26 November 2004 (The first intuitive paper of SRFL on direction)

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Language frequently shows True-false problem like "The Crete's lie".
The details are shown at the papers in SRFL's library.

  1. True-false problem of the Crete / The example of what language has structure / 22 July 2013 
  2. Dimension of Word / Arithmetic Geometry / 24 December 2012 
  3. # Word construction and its dimension / 4 September 2013
  4. # Dimension Conjecture at Synthesis of Meaning / 9 September 2013 (One of the recent papers on dimension)
  5. Supposition on Dimension / 25 October 2013 (One of the kernel papers on Disposition till now)
Disposition 2.
Language has dimension.

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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. In the papers so far, the same concept is called standstill point.

Disposition 3.
Language has basic point.


  1. Interpretation of Reversion Conjecture /20 May 2014

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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.
  1. Distance Theory / 5 May 2004 
  2. Warp Theory / 24 October 2004
  3. Interpretation of Reversion Conjecture /20 May 2014 
  4. Distance Theory Algebraically Supplemented / Brane Simplified Model / Distance / 26 October 2007
  5. # Distance of Word / 30 November 2008
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From the concepts of basic point and distance, the concept of reversion is proposed. One place has a certain distance from the basic point and the direction from the place to the basic point occurs the concept reversion.

Disposition 5,
Language has reversion.

  1. Reversion Theory / 27 September 2014 
  2. Warp Theory / 24 October 2004
  3. Reversion Analysis Theory / 8 June 2008
  4. Reversion Analysis Theory 2 / 12 June 2008
  5. Reversibility of Language / 5 June 2009   
  6. Reversion Conjecture Revised / 20 May 2014 
  7. Interpretation of Reversion Conjecture /20 May 2014
  8. Simplification of Reversion Conjecture / 14 May 2014
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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.

  1. Condition of Meaning / Notes for KARCEVSKIJ Sergej / 11 September 2011 (One of the mathematical approach papers on meaning)
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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. 


  1. Zoho Past / SRFL Sekinan research Field of Language / 2008 2013
  2. Zoho Now / SRFL Sekinan Research Field of Language / 2013 - 2014 
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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



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Supplement


[Reference added, 15 September 2014]
  1. SRFLZoho, mathematical approach to language universals / 2008 - 2014
[Text added, 16 September - 18 September 2014]
  1.       Text for reversion and Disposition 5 Language has reversion. are added.

[Papers added, 18 September 2014]
  1.        Papers related with Disposition 3 Basic Point and Disposition 4 Distance are added.

[Reference added, 21 September 2014]
       Paper related with Disposition 4 Distance is added.



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Text 3



TANAKA Akio


1
Distance theory is an extension of Quantum Theory for Language.
2
Distance theory is an extension of strength rule in Quantum Theory for Language.
3
Distance theory is considered for the purpose of the guarantee to language.
4
What quanta of language propel to the end of the sentence is for the purpose of the guarantee to language, in which quanta of language finally unite the real world in the end of propelling.
5
The guarantee to the inherent signification of indicator in quantum of language is quantified by the distance which starts from the real world to the quantum of language.
6
A quantum consists of indicators.
An indicator has a signification and a period inherently.
The structure of quantum is indicated in Quantum Theory for Language.
7
An inherent signification is an element in a quantum.
An inherent time is an element in a quantum.
There are two types of elements, significant and periodical.
Element is defined.
8
A significant element gets a signification from the real world.
A periodical element gets a time from the real world.
9
An indicator gets a meaning and a period from elements.
10
An element emerges from the real world to the language world.
An indicator gets power from the elements in the language world.
A quantum moves in the language world by the power of indicators.
11
An element emerges to the language world, because each element has immanent perceptible area which works upon visual sensation and auditory sensation of the human beings.
12
An indicator gets energy in the language world, because each indicator has a tendency which will approach and finally coincide with the real world.
This continuous tendency guarantees the trust in language for the human beings.
13
A quantum moves in the language world toward the real world.
A quantum is not guaranteed in the situation of cessation.
A quantum is guaranteed by the connection to the real world.
Therefore a quantum propels to the real world.
14
Indicators make meaning and connection rule in a quantum, both are derived from significant and periodical elements in an indicator.
15
Meaning is guaranteed by the tendency of coincidence with the real world.
Guarantee of the meaning is reduced by the remoteness of distance from the real world.
16
Connection rule is decided by periodical elements in indicators.
Details are indicated in Quantum Theory for Language.
17
Signification in an indicator and meaning in a quantum once emerged are occasionally transformed or expanded in the language world.
This alteration is called multiplication.
Multiplication is defined.
18
Multiplication generally occurs by the addition of signification in an indicator.
But multiplication in meaning of a quantum sometimes occurs without any addition oneself.
19
Multiplication in a quantum without addition occurs by situational transition in the language world.
20
Situational transition in a quantum is caused by difference of distance from the real world.
Difference of distance at a quantum is a proceeding of abstract thinking in human beings.
21
A quantum of language itself becomes <word> in the language world.
Word is defined.
Therefore each word has a distance toward the real world.
A distance immanent in a word does not emerge itself.
Distance emerges in the linear situation of words gathering.
This situation is called <sentence>.
Sentence is defined.
Therefore sentence is an emergence of distance in words gathering.
Words form a line, thereafter one arrangement is determined.
Sentence is realized in our world.
22
In Chinese language, /lai/ come has a larger distance than /liao/completion.
Words are arranged from the end of a sentence, according to the own- possessing- distance.
Therefore /lai le/ having come is realized.


Tokyo May 5, 2004
For the memory of Kusatsu Shiranesan March 30, 2004


Postscript 
[Referential note / October 14, 2007]
<Distance Theory is related with the next papers at early work.>

[Referential note / December 25, 2007]

[Referential note / July 7, 2008]
<On meaning>
<On time>
<On distance>
<On measure as generalization of distance>

[Referential note / December 7, 2008]

[Referential note / December 22, 2008]
<On meaning minimum>
<On place of meaning>
<On confirmation of meaning>
<On warp>
<On finiteness in manifold>

[Referential note / December 23, 2008]

[Referential note / January 1, 2009]
<On meaning and grammar>

[Referential note / January 31, 2009]
<On distance>

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