Towards Matrix Syntax

Towards Matrix Syntax

Matrix syntax is a model of syntactic relations in language, which grew out of a desire to understand chains. The purpose of this paper is to explain its basic ideas to a linguistics audience, without entering into too many formal details (for which cf. Orús et al. 2017). The resulting mathematical...

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Autores principales: Roger Martin, Román Orús, Juan Uriagereka
Formato: article
Lenguaje:CA
EN
Publicado: Universitat Autònoma de Barcelona 2019
Materias:
syntax
chains
minimalist program
Hilbert space
matrix
Philology. Linguistics
P1-1091
Acceso en línea:https://doaj.org/article/6409d2616b0844beb31b75c3d26764b0
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spelling oai:doaj.org-article:6409d2616b0844beb31b75c3d26764b02021-11-27T10:46:22ZTowards Matrix Syntax10.5565/rev/catjl.2211695-68852014-9719https://doaj.org/article/6409d2616b0844beb31b75c3d26764b02019-12-01T00:00:00Zhttps://revistes.uab.cat/catJL/article/view/221https://doaj.org/toc/1695-6885https://doaj.org/toc/2014-9719Matrix syntax is a model of syntactic relations in language, which grew out of a desire to understand chains. The purpose of this paper is to explain its basic ideas to a linguistics audience, without entering into too many formal details (for which cf. Orús et al. 2017). The resulting mathematical structure resembles some aspects of quantum mechanics and is well-suited to describe linguistic chains. In particular, sentences are naturally modeled as vectors in a Hilbert space with a tensor product structure, built from 2x2 matrices belonging to some specific group. Curiously, the matrices the system employs are simple extensions of customary representations of the major parts of speech, as [±N, ±V] objects.Roger MartinRomán OrúsJuan UriagerekaUniversitat Autònoma de Barcelonaarticlesyntaxchainsminimalist programHilbert spacematrixPhilology. LinguisticsP1-1091CAENCatalan Journal of Linguistics (2019)
institution DOAJ
collection DOAJ
language CA
EN
topic syntax
chains
minimalist program
Hilbert space
matrix
Philology. Linguistics
P1-1091
spellingShingle syntax
chains
minimalist program
Hilbert space
matrix
Philology. Linguistics
P1-1091
Roger Martin
Román Orús
Juan Uriagereka
Towards Matrix Syntax
description Matrix syntax is a model of syntactic relations in language, which grew out of a desire to understand chains. The purpose of this paper is to explain its basic ideas to a linguistics audience, without entering into too many formal details (for which cf. Orús et al. 2017). The resulting mathematical structure resembles some aspects of quantum mechanics and is well-suited to describe linguistic chains. In particular, sentences are naturally modeled as vectors in a Hilbert space with a tensor product structure, built from 2x2 matrices belonging to some specific group. Curiously, the matrices the system employs are simple extensions of customary representations of the major parts of speech, as [±N, ±V] objects.
format article
author Roger Martin
Román Orús
Juan Uriagereka
author_facet Roger Martin
Román Orús
Juan Uriagereka
author_sort Roger Martin
title Towards Matrix Syntax
title_short Towards Matrix Syntax
title_full Towards Matrix Syntax
title_fullStr Towards Matrix Syntax
title_full_unstemmed Towards Matrix Syntax
title_sort towards matrix syntax
publisher Universitat Autònoma de Barcelona
publishDate 2019
url https://doaj.org/article/6409d2616b0844beb31b75c3d26764b0
work_keys_str_mv AT rogermartin towardsmatrixsyntax
AT romanorus towardsmatrixsyntax
AT juanuriagereka towardsmatrixsyntax
_version_ 1718409051415511040

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