Sekinan Table

From Print 2012, Chapter 15
He considered the direction of his work. Create a concise model. The model is represented graphically. Figures are expressed geometrically. Following Kenji Fukaya, geometry was defined as "a set of groups and the spaces in which they act." The appeal of Fukaya's books was that they allowed us to constantly check and look at fundamental things like this.

By referring to Jacobson's "semantic minimum" and setting a geometric "minimum unit of meaning" meaning minimum, and moving time t in a closed interval, we can create a geometric concept that encompasses time as meaning. Defined the word. He repeated this direction many times, at different geometric levels.

The universality of language approaches the invariant of mathematics. I learned from Fukaya's book that a quantum cohomology ring can be obtained from a Gromov-Witten invariant, and a Gromov-Witten potential can also be obtained. Language has become closer to mathematics and physics. Symmetry, which has long been a concern, can now be precisely inspected. At the centre of this was Koncewicz's homological mirror symmetry.

Source:
Tale / Print by LI Koh / 27 January 2012

Reference:
Mirror Language / 10 June 2004

Reference 2:
Gromov-Witten Invariantational Curve /27 February 2009
Homology Structure of Word / 16 June 2009
Potential of Language / 29 April 2009-16 June 2009

References 3:

Mirror Symmetry Conjecture on Rational Curve / 27 February 2009

Homological Mirror Symmetry Conjecture by KONTSEVICH / 26 April 2009
Supersymmetric Harmonic Oscillator / 6 May 2009

Kitayama Iris Park, Higashikurume, Tokyo

26 June 2014

Algebraic Geometry Appendix of Language universal models

Algebraic Geometry

Appendix of Language universal models

[CLE-KOL1995] Herbert Clemens, Janos Kollar. Current Topics in Complex Algebraic Geometry. Cambridge University Press, Cambridge, 1995.

[COR2007] Alessio Corti. Flips for 3-folds and 4-folds. Oxford University Press, Oxford, 2007.

[HIR2004] HIRONAKA Hesuke. Algebraic Geometry. Kyoto University Press, Kyoto, 2004.

[IIT2001] IITAKA Shigeru. Geometry of Plane Curve. Kyoritsu Shuppan, Tokyo, 2001.

[ISH2000] ISHIDA Masanori. Basis of Algebraic Geometry. Baifukan, Tokyo, 2000

[KAT1998] KATSURA Toshiyuki. Algebraic Geometry Primer. Kyoritsu Shuppan, Tokyo, 1998.

[KAWAGUCHI2011] KAWAGUCHI Shu. Book review MORIWAKI Atsushi : Arakelov Geometry, Sugaku, January 2011. Iwanami Shoten, 2011.

[KAWAMATA2001] KAWAMATA Yujiro. Geometry of Objective Space. Asakura Shoten, Tokyo, 2001.

[KOL-MOR2008] Janos Kollar, MORI Shigefumi.Birational Geometry. Iwanami Shoten, Tokyo, 2008.

[KON2008] KONO Toshitake. Field Theort and Geometry. Iwanami Shoten, Tokyo, 2008.
[KON2009] KONO Toshitake. Geometry of Repeated Integral. Springer-Japan, Tokyo, 2009.

[KON-TAM2008] KONO Akira, TAMAKI Dai. General Cohomology. Iwanami Shoten, Tokyo,2008.

[MORISHITA2009] MORISHITA Masanori. Knot Theory and Prime Number. Springer-Japan, Tokyo, 2009.

[MORIWAKI Atsushi2008] MORIWAKI Atsushi. Arakelov Geometry. Iwanami Shoten, Tokyo, 2008.

[MUK2008] MUKAI Shigeru. Moduli Theory 1. Iwanami Shoten, Tokyo, 2008.
[MUK2008] MUKAI Shigeru. Moduli Theory 2. Iwanami Shoten, Tokyo, 2008.

[NOG2003] NOGUCHI Junjiro. Several Variable Nevanlinna Theory and Diophantine Approximation. Kyoritsu Shuppan, Tokyo, 2003.

[OSH2008] OSHIKA Ken'ichi. Discrete Group. Iwanami Shoten, Tokyo, 2008.

[SAI2009] SAITO Takeshi. Fermat Conjecture. Iwanami Shoten, Tokyo, 2009.

[TANIYAMA1994] TANIYAMA Yutaka. Complete Works of TANIYAMA Yutaka enlarged edition. Nihonhyoronsha, Tokyo, 1994.

[TANIZAKI2002] TANIZAKI Toshiyuki. Lie Algebra and Quantum Group. Kyoritsu Shuppan, Tokyo, 2002.

[UEN2005] UENO Kenji. Algebraic Geometry. Iwanami Shoten, Tokyo, 2005.
[UEN-SHI2008] UENO Kenji, SHIMIZU Yuji. Deformation and Period of Complex Structure. Iwanami Shoten, Tokyo, 2008.

Tokyo

December 19, 2011
Sekinan Research Field of Language

For WITTGENSTEIN Ludwig Position of Language. December 10, 2005 - October 13, 2019

For WITTGENSTEIN Ludwig ⁰

Position of Language

TANAKA Akio

1 Quantization ¹ 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 minimum ², mirror language ³ and mirror symmetry ⁴ are inevitable approach to the study of language especially for language universals ⁵.

[References]

0<WITTGENSTEIN Ludwig>

Theory Dictionary Writing

Theory Dictionary Person

Aim for Frame-Quantum Theory

1<Quantized Language>

Quantization of Language /Floer Homology Language

2<Meaning minimum>

Structure of Meaning / Symplectic Language Theory
3<Mirror language>

Mirror Symmetry on Rational Curve / Symplectic Language Theory

4<Mirror symmetry>

Homology Mirror Symmetry Conjecture by KONTSEVICH / Symplectic Language Theory

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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