For WITTGENSTEIN Ludwig 

For WITTGENSTEIN Ludwig0 

Position of Language

 TANAKA Akio

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

Meaning minimum2mirror 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

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