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