Why is boundary necessary in language?
q.v. Boundary of Words / 12 February 2009
TANAKA Akio
1.
I have thought on language as a physic existence that has inevitably boundary to the outer world.
My question is simple and primitive. I ever wrote about the change of language -
If there be change, there are exactly the situations before change and after change. Just where does changing substance exist? In the essay, rotten apple was used as the symbol of changing language.
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Presupposition on Natural Language
TANAKA Akio
1.
Language is variable. If it be true, what is the base of variability?
2.
Language is pronounceable. If it be true, what is emerged by pronounced?
3.
Language is recordable. If it be true, what is emerged by recorded?
4.
Example.
An apple is variable and will be rotten by time proceeding.
An apple is pronounced at a glossary shop and will be bought by a home-maker.
An apple is recordable and will be recorded in a photo.
5.
What distinguishes language from apple? The answer is uncertain. So I make the language models parting from natural language.
Reference
For WITTGENSTEIN Ludwig / Position of Language / 10 December 2005-3 August 2012
Tokyo
22 August 2012
Sekinan Research Field of Language
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2.
Language&s substantiality has been considered since I returned to the mathematical approach for learn language universals from the utterly beginning. In 2005 I wrote a tiny trial paper on the substantiality of language for thinking the study course hereafter.
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Substantiality
Dedicated to SAPIR Edward
TANAKA Akio
1 Substance of language is completion which possesses the distance from the real world.
2 The distance is sustained by the fixation for which meaning and time are abstracted.
3 If language has not distance, language appears and disappears following the real world proceeding.
4 Language is substantially unchangeable. Changeability occurs on surrounding.
5 The distance is measured by the longitude from the real world to the substantiality that meaning and time possess.
6 Substantiality is a frame of language.
7 Substantiality is free from the real world.
8 Substantiality is powered by outer energy.
9 Powered substantiality moves complied with possessed command, namely meaning and time.
10 Powered moving substantiality of language is called <quantum>.
11 The idea of quantum is partially realized by <bar code system> in the supermarket or bookstore.
12 Substantiality is bar code of can or book. Outer energy is bar code reader. Quantum moves in a cash register. Language generates price addition in the real world.
13 Bar code is not language. Bar code is substantiality of language. Bar code does not move by itself. When bar code reader becomes energetic, bar code generates <quantum> in a cash register. Language, namely, price-additional-work, starts at bookstore of station front in the bustling evening.
Tokyo February 27, 2005
For the Memory of Tanashi Station Front Street February 26, 2005
Sekinan Research Field of Language
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3.
In 2013, I again wrote on the substantiality of language at the new level containing the determinate essence of language,
dimension and
time. The title is
Macro Time and Micro Time. In this paper I thought that dimension is the essential factor of meaning, especially containing
Infinitive meaning.
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Macro Time and Micro Time
TANAKA Akio
24 July 2013
atbankofdam
1.
Through natural language, in human being, occurred the electrical signal by eye or ear. These complex situations are beyond this paper’s limits.
2.
Language is a physical object as signal and its transmission. At this circumstanstances, langauge must be recognised to be the existence that has finite time.
3.
An apple on the desk gradually becomes rotten by passing the time very after the crop in the orchard. #0
4.
Like an apple, language has passing physical time in oneself.
5.
Language is metamorphosed by the time progressing. #1
6.
Language includes the outer world from human being to universe. At this declaration, I recall Blaise Pascal’s Pensées. XXXIII. PROOFS OF JESUS CHRIST 308 The infinite distance between body and mind symbolizes the infinitely more infinite distance between mind and charity, for charity is supernatural.(Translated by A.J. Krailsheimer, 1966) #2
7.
Language’s time goes freely from the present to the future or the present to the past. #3
8.
Language symbolises the time from finiteness to infinity. #4
9.
Human being recognises this vast language world perfectly. #5
References
#0 For WITTGENSTEIN Ludwig Position of Language / December 10, 2005 – August 3, 2012 / Sekinan Research Field of Language
#1 Time of Word / Complex Manifold Deformation Theory / January 1, 2009 / sekinanlogos
#2 PASCAL PENSÉES. Translated with an introduction by A.J. Krailsheimer. PENGUIN BOOKS 1966.
#3 Escalator language and Time For SHINRAN’s Idea and BOHDISATTVA / Escalator Language Theory / December 16, 2006 / Sekinan Research Field of Language
#4 From Finiteness to Infinity on Language / Topological Group Theory / February 1, 2009 / sekinanlogos
#5 Understandability of Language / Complex Manifold Deformation Theory /January 9, 2009 / sekinanlogos
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4.
Boundary is related with dimension through Poincaré Theorem. Details are next.
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Dual Language
Duality of Language
TANAKA Akio
1. Theorem
(Poincaré duality)
For oriented compact n-dimension topological manifold M ,
biliear form
is exact,
and 
become dual space each other.
♦
2. Interpretation
Word := M Boundary of language := p Dual language := and Language := 
3. Explanation
Word is compact and has dimension.
Language has dimension.
Language has boundary.
Boundary makes dual language.
4. References
Distance Theory
Mirror Theory
Guarantee of Language
Tokyo
25 May 2012
Sekinan Research Field of Language
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5.
Relation between boundary and synthesis in language is utterly unknown field for me. Study has just started from the entrance position. Recent results are the next.
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Synthesis Conjecture
TANAKA Akio
Synthesis
1 Conjecture for synthesis of meaning in word
29/09/2013 19:25
For synthesis of meaning in word, Conjecture: Condition for synthesis of meaning in word i s proposed by cohomological expression.
2 Conjecture: Condition for synthesis of meaning in word
29/09/2013 18:38
On condition for synthesis of meaning in word, at conjecture is proposed by the next result of etale cohomology.
Result
——————————————————-
Canonical natural equivalence
The next two are left exact additional functors.
F : A -> A’
G : A’ -> A”
A and A’ have enough many injective objects.
If F transfers A’ s injective object to G acyclic object, the next canonical natural equivalence is concluded.
R ( G O F ) =~ RG O RF .
——————————————————–
Conjecture
Preparation
Word is shown by R . This word is called old word .
Base meaning in word is shown by F .
Word that has base meaning is shown by RF .
Additional meaning to word is shown by G .
Word that has additional meaning is shown by RG . This word is called intermediate word .
Word that has base meaning and additional meaning is shown by R ( G O F ). This word is called new word .
Conjecture
For completion of new word, old word and intermediate word have the condition shown by the canonical natural equivalence of etale cohomology.
3 Canonical natural equivalence
29/09/2013 18:08
Canonical natural equivalence
The next two are left exact additional functors.
F : A -> A’
G : A’ -> A”
A and A’ have enough many injective objects.
If F transfers A ‘s injective object to G acyclic object, the next canonical natural equivalence is concluded.
R ( G O F ) =~ RG O RF .
Source: Conjecture for synthesis of meaning in word / sekinanlatest 2013
Tokyo
1 May 2014
Sekinan Research Field of Language
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5.
Three Conjectures containing Synthesis Conjecture are shown at the next.These conjectures are the latest result of language universals at
SRFL Sekinan Research Field of Language.
Tokyo
21 December 2014
SIL
is morphism between regular arithmetic varieties.
is pullback.
are morphism between regular arithmetic varieties, the next is concluded.
.
.
, named pullback.
and 
.
and 
be topological spaces, let 
be avector bundle over 
, and suppose 
is a continuous map,
is M's dimension over A.
X } 
X } S ∞ ( X ) 
min{( x | z)x 0 , ( y | z ) x 0 }- δ 
, δ -hyperbolic space is abbreviatedly called hyperbolic. 
max{ d ( x, z ) + d ( y, w ), d ( x, w ) + d ( y, z ) } +2 δ 
[0, λ ] 
X is expressed by 
. 
xyz = 
is called geodesic triangle. 
X }. 
