Research on the physics of language with particular emphasis on the quantum mechanical properties of syntax
| Project/Area Number |
26370446
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Linguistics
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| Research Institution | Yokohama National University |
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Principal Investigator |
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| Research Collaborator |
URIAGEREKA Juan
ORÚS Roáan
JARRET Michael
GALLEGO Ángel
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 生成文法 / 統語論 / 併合 / 語彙的カテゴリー / 統語的カテゴリー / 行列力学 / パウリ行列 / 理論言語学 / 物理学 / 国際交流 / 米国：スペイン：ドイツ：カナダ / 言語学 / 量子力学 / 米国：スペイン：イタリア：英国：ドイツ / ミニマリストプログラム / 品詞 / ファーストマージ / アダマール積 / 国際研究者交流 / 米国 |
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| Outline of Final Research Achievements |
In this project, we use tools from physics, in particular matrix mechanics, to model syntactic properties of human language. We start with the fundamental assumption that the lexical category features N and V are interpreted as '1' and 'i' respectively. We analyze first-merge (head-complement) as matrix multiplication and elsewhere-merge (specifiers) as a tensor product, arguing that this provides for a natural explanation for the highly limited combinatorial possibilities of human language. We also propose a model of chains as the superposition of two tensor products via matrix addition. Another major result has been the discovery of the Chomsky-Pauli group, which includes all of the major lexical category matrices, interpreted according to the fundamental assumption, and all of the matrices in the Pauli Group. We suggest that this group exhausts the possibilities for linguistic categories (lexical and grammatical categories and their projections).
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Report
(4 results)
Research Products
(16 results)
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[Presentation] Elements of Matrix Syntax2017
Author(s)
Juan Uriagereka, Roger Martin, Roman Orus
Organizer
CLT Lecture Course
Place of Presentation
Autonomous University of Barcelona, Spain
Year and Date
2017-01-09
Related Report
Invited
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