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 Language6 and Arithmetic Geometry Language are adopted as the model theory7for natural language in the recent.
6 Hereinafter the model theory will be entered to the new concept, The Model Theory of Language Universals8, now simply abbreviated to MTLU.
Structure of Meaning / Symplectic Language Theory
6<Floer Homology Language>
7<The model theory for natural language>
8<The Model Theory of Language Universals-MTLU>
The concept of MTLU is based on general cohomology, especially from infinite loop space.
Standard text is written by ADAMS J.F.’s Infinite Loop Spaces, 1978.
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
To The Model Theory of Language Universals-MTLU
Tokyo March 2, 2011