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 circumstances, language 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. #1

4. Like an apple, language has passing physical time in oneself.

5. Language is metamorphosed  by the time progressing.  

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

#1

#2 PASCAL PENSÉES. Translated with an introduction by A.J. Krailsheimer. PENGUIN BOOKS 1966.

#3

#4

#5

 

True false problem of the Crete

TANAKA Akio

22 July 2013

atbankofdam

Consideration

1. Natural language has true-false problem.

2. By a liar of the Crete, whose saying turns true to false and false to true. The turn continues eternally.

3. This situation resembles the  Möbius' strip surface, where the walker on the surface goes from right side to reverse side and the reverse to the right again.

4. The surface of  Möbius' strip is  non-oriented.  

5. If natural language have Möbius' strip surface structure, Crete's true-false problem does not exist from the first.

Conjecture

1. Natural language has mathematical structure.

2. Natural language satisfies Möbius' strip-like non-orientation.

References

1. Symmetry of Language / September 15, 2011, sekinanmetria.zoho 

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Language model 

1. Finite generative language

Essay

1. True-false problem of the Crete

2. Macro Time and Micro Time

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Arithmetic Geometry 1 Dimension of Word

 Arithmetic Geometry 1

Dimension of Word

TANAKA Akio
24 December 2012

ifbetrue / Tokyo

1. 

Theorem by C. Soulé, Lectures on Arakelov Geometry, 1992. 

 is morphism between regular arithmetic varieties.

 is pullback.

When  are morphism between regular arithmetic varieties, the next is concluded.

 .

2.

Interpretation of the upper theorem.

Word : .

Decomposition of word : , named pullback.

Decomposed meaning unit in word :  and .

3.

Pullback is defined by the next from Efton Park, Complex Topologicak K-Theory, 2008.

Let  and be topological spaces, let  be avector bundle over , and suppose  is a continuous map,

Define

4.

Interpretation of theupper theorem 2.

Word can be deposed to meaning units by pullback.

Meaning unit also become pullback.

5.

Pullback contains order function ord.

ord contains length.

Here length is longitude of composition series.

Here composition series is defined by the next.

A is commutative ring.

M is A module.

If A be field,  is M's dimension over A.

6.

From 5. leads the next supposition.

When word is decomposed to meaning unit, each unit has demension that determines word's dimension.

(Here ends the paper.)

 

Home / Infinite Loop Space language / Word as Infinite Loop Space Word as Infinite Loop Space Word as Inifinite loop Space TANAKA Akio 1.  Result of D. G. Quillen by Annals of Mathematics, 96 (1972). Algebraic K theory over commutative ring R.  is classifying space of   . Quillen showed that  is infinite loop space. 2. Interpretationof Quillen's result. Meaning of word is expressed by . Word is expressed by , . Saying in other words.  Word is expressed by high dimensional algebraic K group over commutative ring R. Conclution at the present. Word has meaning that is expressed by infinite loop space. Word has parameter that is expressed by commutative ring. Word has dimension that belongs to albegraic K group. Tokyo 6 December 2012 Zoho Sites of Sekinan Sekinan Research Field of Language

 

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Operad Meaning Theory From Cell to Operad

 Operad Meaning Theory

From Cell to Operad

TANAKA Akio

ifbetrue

24 March 2013

1.

I ever wrote a next paper in which cell and meaning minimum  are defined.
Cell Theory. From Cell to Manifold For LEIBNIZ and JAKOBSON. Tokyo June 2, 2007. 
In the paper, through Roman Jakobson's intuitional assist, the concept of meaning minimum is described by the elementary algebraic  geomtry. At the deeper basis, Gottfried Leibniz's Monadologie , 1714 may influence for making this Cell Theory.   

2.

The main target of Cell Theory was in the generation of meaning in word. This target was more clearly described soon later at the next paper.
von Neumann Algebra 2. Generation Theorem. Tokyo April 20, 2008.

3.

But the balance of soft part and hard part in word, that was conjectered by Sergej Karcevskij in 1920s,  is very hard theme to describe. Fro solving the hardness, trial papers were proposed at the next paper group,  Notes for KARCEVSKIJ.

Notes for KARCEVSKIJ Sergej. 2011.

At the first paper of the Notes, Note for KARCEVSKIJ Sergej, the soft part in word was described by thr free group's definition.

Notes for KARCEVSKIJ Sergej. Note for KARCEVSKIJ Sergej's "Du dualisme asymetrique du signe linguistique". Tokyo September 8, 2011 

4.

There is more difficult theme on the dradual changeable addition of meaning for which langauge has always efficiently useful in the thus complecated contemporary world. 

For this theme, I ever tried to write some papers related with time shift. The example is the next.

Symmetry Flow Language 2. Time Shift of Meaning in Moduli Space 'th for KARCEVSKIJ Sergey. Tokyo May 23, 2007.

5.

From another view on language, I had thought brane model for the connection of words or construction of language. The example is the next.

Distance Theory Algebraically Supplemented. Brane Simplified Model. 1 Bend. Tokyo Ocyober 17, 2007.

6.

Briefly summarizing I have thought on language from its freeness, flexibility and changeability against long stern structure of soft and hard magical agalgum.

The gis is as the ollowing.

Sayama Assumption on language. Sayama Hills, Tokyo 21 September 2012.

7.

Language shows many phases from thinking levels and viewpoints. 

Language can be captured more clearly from descreteness but more flexibly thinkable from meaning variation and changeability.

Floer Homology Language. Discreteneness of Language. Tokyo 2009.

Changeability To SAPIR and KARCEVSKIJ. Tokyo January 8, 2005.

8.

Changeability of language implies the eternality of time, but this eternality cannot be easily obtained propably without loop condition of movement. 

Time of WANG Guowei. Loop Time of Character. September 15, 2011.

Infinite Loop Space Language. Word as Infinite loop Space. Tokyo 6December 2012.

Loop space can capture this eternality, that is shown often by the repetition. I firmly noticed this situation at the Shinto dance perfomance at a shrine festival.

Sato-kagura, Village Shinto dance, Fuchu, Tokyo. 28 January 2013. 

9.

Loop space was also notified early stage of Chinese histiory in sirca. 500 B.C. at one of the five classics, Yijing that is the fortunr-telling text of ancient China.
On Yijing, I was taught from philosopher NISHI Junzo.

NISHI Junzo, Philosopher of Modern Japan. Tokyo 30 August 2012.

10.

From Infinite loop space, the concept of operad is lead as the next.

10.1

 is the space that has base *.

 is the loop space over .

.

10.2

.

10.3

Theorem (J.P. May's recognition theorem)

 operates all the fold loop space. 

Continuous space  to which  operates is weak homotopy equiavalent with a certain fold loop space. 

11.

 is  identified as a operator that has j number imput and 1 number output.

12.

Here I think that  is identified as a word that j number meaning minimums and 1 number compound meaning.

♦Here ends this paper.

 

Simplicial Space Language

Home Site: ifbetrue

Autor: TANAKA Akio

Theme: Language Universals

Method: Homotopy Theory

Title: Homotopy Language

Paper 1: Simplicial Space Language

-----------------------------------------

Simplicial Space Language

-Composition of Word

TANAKA Akio

20 January 2013

ifbetrue

1. 

 is topological space.

 is simplicial space.

 is represented by geometric realization of   as the next.

2.

 is topological space.

 is singular simplex.

 is free Abelian group generated by set .

 .

 is singular chain complex of  and has strongly convergence spectral sequence called Atiyah-Hirzebruch spectral sequence.

3.

Interpretation.

Word  is given by geometric realization of simplicial space  .

Meaning unit in word is given by free Abel group .

(Paper end)