Sekinan Table: For WITTGENSTEIN Ludwig Position of Language. December 10, 2005

For WITTGENSTEIN Ludwig ⁰

Position of Language

TANAKA Akio

1 Quantization ¹ 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 minimum ², mirror language ³ and mirror symmetry ⁴ are inevitable approach to the study of language especially for language universals ⁵.

[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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