For WITTGENSTEIN Ludwig

For WITTGENSTEIN Ludwig⁰

 

Position of Language

TANAKA Akio

1 Quantization¹ is a cliff for consideration of language.

2 Mathematical interpretation of quantized language is now a first step to the theoretical ascent.

3 If there is not mathematics, next conjectures are impossible.

(i) Difference between word and sentence—Commutative and noncommutative ring

(ii) Continuation from word to sentence—Tomita’s fundamental theorem

(iii) Word’s finiteness and sentence’s infinity—Property infinite and purely infinite

(iv) Cyclic structure of word’s meaning—Infinite cyclic group

4 Meaning minimum², mirror language³ and mirror symmetry⁴ are inevitable approach to the study of language especially for language universals⁵.

5 Symplectic Language Theory, Floer Homology Language and Arithmetic Geometry Language are adopted as the model theory for natural language in the recent.

6 Hereinafter the model theory will be entered to the new concept. The Models of Language Universals 6 will be shown by the description of mathematics.

[References]

0. WITTGENSTEIN Ludwig

Theory Dictionary Writing

Theory Dictionary Person

Aim for Frame-Quantum Theory

1. Quantized Language

Quantization of Language /Floer Homology Language

2. Meaning minimum

Structure of Meaning / Symplectic Language Theory
3. Mirror language

Mirror Symmetry on Rational Curve / Symplectic Language Theory

4. Mirror symmetry

Homology Mirror Symmetry Conjecture by KONTSEVICH / Symplectic Language Theory

5. Language universals

Generating Function / Symplectic Language Theory
6. Models of  Language Universals

 Language Universal Models till 2011

Tokyo December 10, 2005

Now traveling to a northern more place from the encounter

Tokyo November 27, 2008 Revised

Tokyo March 24, 2009 Revised

Tokyo June 27, 2009 Revised

Tokyo February 28, 2011 Revised
Tokyo August 3, 2012 Revised

Sekinan Research Field of Language

sekinan.org

History

Sekinan Resrearch Field of Language
To
atbankofdam

Sekinan Research Field of Language was established in 2003 for the study on language universals, that was the core theme since my youth time some 40 years ago in the 1970s. But real start was much later in the late 1980s.

In 1986 I established the Sekinan Library for the bace of study at Tachikawa, Tokyo. At that time my main theme was declined to the study of old Chinese character’s classical semanticsusing the traditional study of the form of characters reading Qing Dynasty’s WANG Guowei. The study from the direction had not given me so rich results. I at the same time read some mathematical books influenced from Bourbaki that was the big stream in 1970s in Japan. Set theory represented by Godel was also the favourite at the time.

In 1990s I determined the direction of study only to language universals taught from CHINO Eiichi, one of the modern typical philologists of Japan. He taught me almost all the aspects of European philology that were unkown for me. In the various themes he gave me, the most impressive was the existence of the Linguistic Circle of Prague. Above all Sergej Karcevskij was overwhelmingly deep and moving. But Karcevskij’s  approach was seemed to be intuitive and far from clear descriptiveness.

I began to learn the theme hinted by Karcevskij while learning Godel, Bourbaki and Wittgenstein that was also gave me the big influence form the age 20s. I had freuently read Wittgenstein’s TRACTATUS. But my base of math was so poor and never became the descriptive use for language’s delicate phases. So I again restarted math from geomatry that gave the most familiar and clear image for me. My intuitive image and basic math description were seemed to be able offer in nearly milleium days.

In spring 2003 I knew the application paper for the international symposium held  by a certain institute. I arranged the short paper for it till early summer and sent it. The paper was happily adopted  as one of the language and literature section of the symposium. The paper’s title was Quantum Theory for Language. It was again arranged next year 2004 as the title Quantum Theory for Language synopsis.

The establish date of Sekinan Research Field of Language  was 23 August 2003, that was the date of completion of proto-conceptive paper of Quantum Theory for Language at the hutte in Hakuba, Nagano. Now the time passed rapidly 10 years. The home site, sekinan, has become full by the papers accumulation. So the new site has become indispensible. The name is atbankofdam, established at 21 May 2013. The origin of the name is written at the essay, At Bankof Dam Again.

Tokyo
14 August 2013
atbankofdam

Additional note / 18 August 2013
Winding road from Hakuba / 27 July 2013