The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers

Detalhes bibliográficos
Autor(a) principal: Amalric, Marie
Data de Publicação: 2017
Outros Autores: Wang, Liping, Pica, Pierre, Figueira, Santiago, Sigman, Mariano, Dehaene, Stanislas
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/24138
https://doi.org/10.1371/journal.pcbi.1005273
Resumo: During language processing, humans form complex embedded representations from sequential inputs. Here, we ask whether a “geometrical language” with recursive embedding also underlies the human ability to encode sequences of spatial locations. We introduce a novel paradigm in which subjects are exposed to a sequence of spatial locations on an octagon, and are asked to predict future locations. The sequences vary in complexity according to a well-defined language comprising elementary primitives and recursive rules. A detailed analysis of error patterns indicates that primitives of symmetry and rotation are spontaneously detected and used by adults, preschoolers, and adult members of an indigene group in the Amazon, the Munduruku, who have a restricted numerical and geometrical lexicon and limited access to schooling. Furthermore, subjects readily combine these geometrical primitives into hierarchically organized expressions. By evaluating a large set of such combinations, we obtained a first view of the language needed to account for the representation of visuospatial sequences in humans, and conclude that they encode visuospatial sequences by minimizing the complexity of the structured expressions that capture them.
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spelling Amalric, MarieWang, LipingPica, PierreFigueira, SantiagoSigman, MarianoDehaene, Stanislas2017-10-20T12:02:55Z2017-10-20T12:02:55Z2017-01-26Amalric M, Wang L, Pica P, Figueira S, Sigman M, Dehaene S (2017) The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers. PLoS Comput Biol13(1): e1005273. https://doi.org/10.1371/journal.pcbi.1005273https://repositorio.ufrn.br/jspui/handle/123456789/24138https://doi.org/10.1371/journal.pcbi.1005273engPlos computational BiologyGeometryLanguageThe language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolersinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleDuring language processing, humans form complex embedded representations from sequential inputs. Here, we ask whether a “geometrical language” with recursive embedding also underlies the human ability to encode sequences of spatial locations. We introduce a novel paradigm in which subjects are exposed to a sequence of spatial locations on an octagon, and are asked to predict future locations. The sequences vary in complexity according to a well-defined language comprising elementary primitives and recursive rules. A detailed analysis of error patterns indicates that primitives of symmetry and rotation are spontaneously detected and used by adults, preschoolers, and adult members of an indigene group in the Amazon, the Munduruku, who have a restricted numerical and geometrical lexicon and limited access to schooling. Furthermore, subjects readily combine these geometrical primitives into hierarchically organized expressions. By evaluating a large set of such combinations, we obtained a first view of the language needed to account for the representation of visuospatial sequences in humans, and conclude that they encode visuospatial sequences by minimizing the complexity of the structured expressions that capture them.info:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNORIGINALPierrePica_ICe2017_Thelanguageofgeometry.pdfPierrePica_ICe2017_Thelanguageofgeometry.pdfArtigo Completoapplication/pdf2874209https://repositorio.ufrn.br/bitstream/123456789/24138/1/PierrePica_ICe2017_Thelanguageofgeometry.pdf747dec0167655e16d2a9d1a1177392f6MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://repositorio.ufrn.br/bitstream/123456789/24138/2/license.txt8a4605be74aa9ea9d79846c1fba20a33MD52TEXTPierrePica_ICe2017_Thelanguageofgeometry.pdf.txtPierrePica_ICe2017_Thelanguageofgeometry.pdf.txtExtracted texttext/plain108605https://repositorio.ufrn.br/bitstream/123456789/24138/5/PierrePica_ICe2017_Thelanguageofgeometry.pdf.txt1af5269e81e61b5f429b9296b545e6fdMD55THUMBNAILPierrePica_ICe2017_Thelanguageofgeometry.pdf.jpgPierrePica_ICe2017_Thelanguageofgeometry.pdf.jpgIM Thumbnailimage/jpeg11103https://repositorio.ufrn.br/bitstream/123456789/24138/6/PierrePica_ICe2017_Thelanguageofgeometry.pdf.jpgbb07f2f8d6828b417d2817a53c6dcd6cMD56123456789/241382017-11-04 22:50:36.277oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2017-11-05T01:50:36Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
title The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
spellingShingle The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
Amalric, Marie
Geometry
Language
title_short The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
title_full The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
title_fullStr The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
title_full_unstemmed The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
title_sort The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
author Amalric, Marie
author_facet Amalric, Marie
Wang, Liping
Pica, Pierre
Figueira, Santiago
Sigman, Mariano
Dehaene, Stanislas
author_role author
author2 Wang, Liping
Pica, Pierre
Figueira, Santiago
Sigman, Mariano
Dehaene, Stanislas
author2_role author
author
author
author
author
dc.contributor.author.fl_str_mv Amalric, Marie
Wang, Liping
Pica, Pierre
Figueira, Santiago
Sigman, Mariano
Dehaene, Stanislas
dc.subject.por.fl_str_mv Geometry
Language
topic Geometry
Language
description During language processing, humans form complex embedded representations from sequential inputs. Here, we ask whether a “geometrical language” with recursive embedding also underlies the human ability to encode sequences of spatial locations. We introduce a novel paradigm in which subjects are exposed to a sequence of spatial locations on an octagon, and are asked to predict future locations. The sequences vary in complexity according to a well-defined language comprising elementary primitives and recursive rules. A detailed analysis of error patterns indicates that primitives of symmetry and rotation are spontaneously detected and used by adults, preschoolers, and adult members of an indigene group in the Amazon, the Munduruku, who have a restricted numerical and geometrical lexicon and limited access to schooling. Furthermore, subjects readily combine these geometrical primitives into hierarchically organized expressions. By evaluating a large set of such combinations, we obtained a first view of the language needed to account for the representation of visuospatial sequences in humans, and conclude that they encode visuospatial sequences by minimizing the complexity of the structured expressions that capture them.
publishDate 2017
dc.date.accessioned.fl_str_mv 2017-10-20T12:02:55Z
dc.date.available.fl_str_mv 2017-10-20T12:02:55Z
dc.date.issued.fl_str_mv 2017-01-26
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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dc.identifier.citation.fl_str_mv Amalric M, Wang L, Pica P, Figueira S, Sigman M, Dehaene S (2017) The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers. PLoS Comput Biol13(1): e1005273. https://doi.org/10.1371/journal.pcbi.1005273
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/jspui/handle/123456789/24138
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1371/journal.pcbi.1005273
identifier_str_mv Amalric M, Wang L, Pica P, Figueira S, Sigman M, Dehaene S (2017) The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers. PLoS Comput Biol13(1): e1005273. https://doi.org/10.1371/journal.pcbi.1005273
url https://repositorio.ufrn.br/jspui/handle/123456789/24138
https://doi.org/10.1371/journal.pcbi.1005273
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv Plos computational Biology
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