言語システム=偽装ウイルスチェックシステム : 自然言語情報処理における変数消去、虚数、測地線(松永俊男教授退任記念号)
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概要
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This paper argues for the following. a. The natural language system is a disguised virus-check system. It self-organized in the brain of the human ancestor as the result of a self-organizing mutation that took place about two million years ago. b. The language system generates information that is discrete and infinite. Discrete infinity is an indication that the language system has become cancerous. The language system disguised itself as an immune system. The brain is a typical immune system. c. The evidence for the disguise exists in the natural language computation. d. The structural informations (formal features) in Case particles and finite Tense inflection are variables. e. The variables are checked and eliminated. The Variable-elimination is the driving force of structure building. f. A sentence structure has a self-part and non-self part. A formal (structural) feature is checked off at the non-self part. The parasitic language system mimics the prominent characteristic of the host brain, which is the immunity. That is to say, the language system creates viruses = antigens (= structural features = variables of NPs), and the antibodies (structural features of the heads such as V, T, and C) check and eliminate those variables. This variable elimination is the driving force of the growth of bifurcating sentence structure. g. A Head movement extends the minimal domain MinD (the non-self part of the sentence structure). The MinD extension brings about the infinite increase of the shortest root. The head movement induces a non-Euclidean geometrical change of a sentence structure. That is, without head movement, a sentence structure is a flat plane, but with head movement, the sentence structure becomes a curved surface. On a curved surface, geodesic lines appear, increasing the number of the shortest root for NP movement (virus checking and elimination). h. The group theory can be an effective tool for studying the scrambling problem in CHL. i. The computational system of human natural language (CHL) includes a distinction between real time and imaginary time. The CHL contained the imaginary number i when Mother Nature created the CHL about two million years ago. The imaginary number i is not a modern invention of mathematicians. j. A sentence is an equation with constants and variables. The human brain solves one-dimensional simultaneous equations with multiple variables (= Case features). But linguistic simultaneous equations consist of a single equation, which is not solvable in mathematics. A sentence is an equation. Therefore, a sentence can be paraphrased into a mathematical equation. Interesting results obtain when we draw the graphs and the vector spaces of the linguistic equations. k. Points of breakdown of the operation of variable elimination exist both in linear algebra and in the CHL. l. Sequential voicing (rendaku) obeys the least effort (energy) principle.
- 2009-03-10
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