The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , , , |
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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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 |
format |
article |
status_str |
publishedVersion |
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 |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
Plos computational Biology |
publisher.none.fl_str_mv |
Plos computational Biology |
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Universidade Federal do Rio Grande do Norte (UFRN) |
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