Distance Theory
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
Sekinan Research Field of Language
Postscript
[Referential note / October 14, 2007]
<Distance Theory is related with the next papers at early work.>
On Time Property Inherent in Characters Hakuba March 28, 2003
Quantum Theory for Language Synopsis Tokyo January 15, 2004
Reversion Theory Tokyo September 27, 2004
Prague Theory Dedicated to KARCEVSKIJ, PRAGUE and CHINO Tokyo October 2, 2004
Mirror Theory For the Structure of Prayer Dedicated to the Memory of CHINO Eiichi Tokyo June 5, 2004
Mirror Language Tokyo June 10, 2004
Guarantee of Language For LÉVI-STRAUSS Claude Tokyo June 12, 2004
Actual Language and Imaginary Language To LÉVI-STRAUSS Claude Tokyo September 23, 2004
[Referential note / December 25, 2007]
Algebraic Linguistics / From September 11, 2007
Distance Theory Algebraically Supplemented / From October 4, 2007
Noncommutative Distance Theory / From November 30. 2007
[Referential note / July 7, 2008]
<On meaning>
For KARCEVSKIJ Sergej
<On time>
Invitation by Theme-Time / Data first arranged at Tokyo January 6, 2008
<On distance>
Invitation by Theme-Distance / Data first arranged at Tokyo February 20, 2008
<On measure as generalization of distance>
Holomorphic Meaning Theory / From Tokyo June 15, 2008
Stochastic Meaning Theory / From Tokyo June 22, 2008
[Referential note / December 7, 2008]
Distance of Word / Tokyo November 30, 2008 / sekinan.wiki.zoho.com
Reflection of Word / Tokyo December 7, 2008 / sekinan.wiki.zoho.com
Mirror Theory Group / Tokyo December 9, 2008
[Referential note / December 22, 2008]
<On meaning minimum>
Cell Theory / From Cell to Manifold / Tokyo June 2, 2007
<On place of meaning>
Stochastic Meaning Theory 3 / Place of Meaning / Tokyo July 11, 2008
<On confirmation of meaning>
Stochastic Meaning Theory 2 / Period of Meaning / Tokyo June 27, 2008
<On warp>
Warp Theory
Quantum Warp Theory / Warp
Warp Theory Group
Quantum Warp Theory Group
<On finiteness in manifold>
Amplitude of Meaning Minimum / sekinan.wiki.zoho.com
Complex Manifold Deformation Theory / sekinan.wiki.zoho.com
[Referential note / December 23, 2008]
Time of Word / sekinan.wiki.zoho.com
[Referential note / January 1, 2009]
<On meaning and grammar>
Orbit of Word / sekinan.wiki.zoho.com
[Referential note / January 31, 2009]
<On distance>
Word Problem of Word-hyperbolic Group / sekinan.wiki.zoho.com
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
Sekinan Research Field of Language
Postscript
[Referential note / October 14, 2007]
<Distance Theory is related with the next papers at early work.>
On Time Property Inherent in Characters Hakuba March 28, 2003
Quantum Theory for Language Synopsis Tokyo January 15, 2004
Reversion Theory Tokyo September 27, 2004
Prague Theory Dedicated to KARCEVSKIJ, PRAGUE and CHINO Tokyo October 2, 2004
Mirror Theory For the Structure of Prayer Dedicated to the Memory of CHINO Eiichi Tokyo June 5, 2004
Mirror Language Tokyo June 10, 2004
Guarantee of Language For LÉVI-STRAUSS Claude Tokyo June 12, 2004
Actual Language and Imaginary Language To LÉVI-STRAUSS Claude Tokyo September 23, 2004
[Referential note / December 25, 2007]
Algebraic Linguistics / From September 11, 2007
Distance Theory Algebraically Supplemented / From October 4, 2007
Noncommutative Distance Theory / From November 30. 2007
[Referential note / July 7, 2008]
<On meaning>
For KARCEVSKIJ Sergej
<On time>
Invitation by Theme-Time / Data first arranged at Tokyo January 6, 2008
<On distance>
Invitation by Theme-Distance / Data first arranged at Tokyo February 20, 2008
<On measure as generalization of distance>
Holomorphic Meaning Theory / From Tokyo June 15, 2008
Stochastic Meaning Theory / From Tokyo June 22, 2008
[Referential note / December 7, 2008]
Distance of Word / Tokyo November 30, 2008 / sekinan.wiki.zoho.com
Reflection of Word / Tokyo December 7, 2008 / sekinan.wiki.zoho.com
Mirror Theory Group / Tokyo December 9, 2008
[Referential note / December 22, 2008]
<On meaning minimum>
Cell Theory / From Cell to Manifold / Tokyo June 2, 2007
<On place of meaning>
Stochastic Meaning Theory 3 / Place of Meaning / Tokyo July 11, 2008
<On confirmation of meaning>
Stochastic Meaning Theory 2 / Period of Meaning / Tokyo June 27, 2008
<On warp>
Warp Theory
Quantum Warp Theory / Warp
Warp Theory Group
Quantum Warp Theory Group
<On finiteness in manifold>
Amplitude of Meaning Minimum / sekinan.wiki.zoho.com
Complex Manifold Deformation Theory / sekinan.wiki.zoho.com
[Referential note / December 23, 2008]
Time of Word / sekinan.wiki.zoho.com
[Referential note / January 1, 2009]
<On meaning and grammar>
Orbit of Word / sekinan.wiki.zoho.com
[Referential note / January 31, 2009]
<On distance>
Word Problem of Word-hyperbolic Group / sekinan.wiki.zoho.com
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