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
1
Quantization of Language /Floer Homology Language
2
Structure of Meaning / Symplectic Language Theory
3
Mirror Symmetry on Rational Curve / Symplectic Language Theory
4
Homology Mirror Symmetry Conjecture by KONTSEVICH / Symplectic Language Theory
5
Generating Function / Symplectic Language Theory
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