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Thursday, 19 June 2014

For Wittgenstein Revised / Position of Language

For Wittgenstein Revised / Position of Language

TANAKA Akio 



    
                         
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
Meaning minimum2mirror 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.

Tokyo December 10, 2005
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

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