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
(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.
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.
0. WITTGENSTEIN Ludwig
1. Quantized Language
2. Meaning minimum
Structure of Meaning / Symplectic Language Theory
3. Mirror language
4. Mirror symmetry
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