For WITTGENSTEIN Ludwig0
Position of Language
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>
1<Quantized Language>
2<Meaning minimum>
Structure of Meaning / Symplectic Language Theory
3<Mirror language>
3<Mirror language>
4<Mirror symmetry>
5<Language universals>
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