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.

[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

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

Sekinan Research Field of Language

www.sekinan.org