Thursday 11 September 2014

Disposition of Language / 12 September 2014 / With supplement

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.


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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.

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.



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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.
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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.

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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.

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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. 


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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]
[Text added, 16 September - 18 September 2014]
      Text for reversion and Disposition 5 Language has reversion. are added.

[Papers added, 18 September 2014]
       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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