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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Detalles Bibliográficos
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
Descripción
Sumario: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.