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: Martin, Roger, Orús, Román, Uriagereka López, Juan|||0000-0001-9194-3626
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:216373
Acceso en línea:https://ddd.uab.cat/record/216373
https://dx.doi.org/urn:doi:10.5565/rev/catjl.221
Access Level:acceso abierto
Palabra clave:Syntax
Chains
Minimalist program
Hilbert space
Matrix
Sintaxi
Cadenes
Programa minimalista
Espai de Hilbert
Matriu
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spelling Towards Matrix SyntaxCap a la sintaxi de matriusMartin, RogerOrús, RománUriagereka López, Juan|||0000-0001-9194-3626SyntaxChainsMinimalist programHilbert spaceMatrixSintaxiCadenesPrograma minimalistaEspai de HilbertMatriuMatrix 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.La sintaxi de matrius és un model formal de relacions sintàctiques en el llenguatge que va sorgir del desig de modelar les cadenes. L'objectiu d'aquest treball és explicar les idees bàsiques d'aquest model a un públic lingüístic, sense entrar en gaires detalls formals (vegeu Orús et al. 2017). L'estructura matemàtica resultant s'assembla a alguns aspectes de la mecànica quàntica i s'adapta bé per descriure les cadenes lingüístiques. En particular, les oracions es modelen naturalment com a vectors en un espai de Hilbert amb una estructura de producte tensorial, construïdes a partir de matrius 2 x 2 que pertanyen a un grup específic. Curiosament, les matrius que utilitza el sistema són extensions simples de representacions habituals de les parts principals del discurs com a objectes [± N, ± V]. 22019-01-0120192019-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/216373https://dx.doi.org/urn:doi:10.5565/rev/catjl.221reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2163732026-06-06T12:50:31Z
dc.title.none.fl_str_mv Towards Matrix Syntax
Cap a la sintaxi de matrius
title Towards Matrix Syntax
spellingShingle Towards Matrix Syntax
Martin, Roger
Syntax
Chains
Minimalist program
Hilbert space
Matrix
Sintaxi
Cadenes
Programa minimalista
Espai de Hilbert
Matriu
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
dc.creator.none.fl_str_mv Martin, Roger
Orús, Román
Uriagereka López, Juan|||0000-0001-9194-3626
author Martin, Roger
author_facet Martin, Roger
Orús, Román
Uriagereka López, Juan|||0000-0001-9194-3626
author_role author
author2 Orús, Román
Uriagereka López, Juan|||0000-0001-9194-3626
author2_role author
author
dc.subject.none.fl_str_mv Syntax
Chains
Minimalist program
Hilbert space
Matrix
Sintaxi
Cadenes
Programa minimalista
Espai de Hilbert
Matriu
topic Syntax
Chains
Minimalist program
Hilbert space
Matrix
Sintaxi
Cadenes
Programa minimalista
Espai de Hilbert
Matriu
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.
publishDate 2019
dc.date.none.fl_str_mv 2
2019-01-01
2019
2019-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/216373
https://dx.doi.org/urn:doi:10.5565/rev/catjl.221
url https://ddd.uab.cat/record/216373
https://dx.doi.org/urn:doi:10.5565/rev/catjl.221
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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repository.mail.fl_str_mv
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