For WITTGENSTEIN Ludwig / Position of Language / December 10, 2005 - August 2, 2014

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 

[Reference added, 2 August 2014]
At TRACTATUS LOGICO-PHILOSOPHICUS, Wittgenstein mentioned on dimension of language. I have barely reached the gate of the question recently. Refer to the next original papers.

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hillseverzoho

1. Conjecture for whole and parts of word

2. Conjecture for dimension decrease by additional meaning
3. Conjecture for synthesis and completion of new word
4. Conjecture for standstill point and reversion of language 



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Tokyo December 10, 2005

Now travelling to a northern more place from the encounter

Tokyo November 27, 2008 Revised

Tokyo March 24, 2009 Revised

Tokyo June 27, 2009 Revised
Tokyo August 2, 2014 Reference added

Sekinan Research Field of Language

Hatonosu Ravine, West Tokyo, 29 July 2014