Saturday 2 August 2014

For WITTGENSTEIN Ludwig / Position of Language / December 10, 2005 - August 2, 2014

For WITTGENSTEIN Ludwig0

Position of Language



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.

[References]
0<WITTGENSTEIN Ludwig>
1<Quantized Language>
2<Meaning minimum>
4<Mirror symmetry>
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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1. Conjecture for whole and parts of word
2. Conjecture for dimension decrease by additional meaning
3. Conjecture for synthesis and completion of new word
4. Conjecture for standstill point and reversion of language 




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Tokyo December 10, 2005
Now travelling to a northern more place from the encounter
Tokyo November 27, 2008 Revised
Tokyo March 24, 2009 Revised
Tokyo June 27, 2009 Revised
Tokyo August 2, 2014 Reference added



Hatonosu Ravine, West Tokyo, 29 July 2014



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