Aymara number system: a revision for its reconstruction

In this work, the literature of the Aymara numbering system, its history, coexistence and analysis with respect to different cultures and languages ​​was reviewed, considering their types, principles and characteristics. Based on this, it proceeds to its original reconstruction of the Aymara languag...

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Autores principales: Bizarro, Wilfredo, Vilca Apaza, Henry Mark, Sucari, Wilson
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Publicado: Universidad Peruana Unión 2020
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author Bizarro, Wilfredo
Vilca Apaza, Henry Mark
Sucari, Wilson
author_browse Bizarro, Wilfredo
Sucari, Wilson
Vilca Apaza, Henry Mark
author_facet Bizarro, Wilfredo
Vilca Apaza, Henry Mark
Sucari, Wilson
author_sort Bizarro, Wilfredo
collection Revistas
container_title Apuntes Universitarios
description In this work, the literature of the Aymara numbering system, its history, coexistence and analysis with respect to different cultures and languages ​​was reviewed, considering their types, principles and characteristics. Based on this, it proceeds to its original reconstruction of the Aymara language numbering system, since there is antecedents and evidence to affirm that it is an oral, regular positional system, in decimal base, with quinary auxiliary, in addition to additive and multiplicative. The primitive root number five was found to be qallqu; original base to which the other numbers follow by addition: maya ‘1’, paya ‘2’, kimsa ‘3’, pusi ‘4’, qallqu ‘5’, maqallqu (maya qallqu ‘1 + 5’), paqallqu (paya qallqu ‘2 + 5’), kimsaqallqu (kimsa qallqu '3 + 5') and pusiqallqu (pusi qallqu ‘4 + 5’), and tunka ‘10’, based on it they form a wonderfully precise order, perfect from the intercultural, linguistic, ethnomathematical and mathematical interpretation.
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spelling oai:ojs2.apuntesuniversitarios.upeu.edu.pe:article/5912021-01-06T14:50:03Z Aymara number system: a revision for its reconstruction Sistema de numeración aimara: una revisión para su reconstrucción Bizarro, Wilfredo Vilca Apaza, Henry Mark Sucari, Wilson Mathematics, numbering system, Aymara, intercultural, ethnomathematics. Matemática, sistema de numeración, aimara, intercultural, etnomatemática. In this work, the literature of the Aymara numbering system, its history, coexistence and analysis with respect to different cultures and languages ​​was reviewed, considering their types, principles and characteristics. Based on this, it proceeds to its original reconstruction of the Aymara language numbering system, since there is antecedents and evidence to affirm that it is an oral, regular positional system, in decimal base, with quinary auxiliary, in addition to additive and multiplicative. The primitive root number five was found to be qallqu; original base to which the other numbers follow by addition: maya ‘1’, paya ‘2’, kimsa ‘3’, pusi ‘4’, qallqu ‘5’, maqallqu (maya qallqu ‘1 + 5’), paqallqu (paya qallqu ‘2 + 5’), kimsaqallqu (kimsa qallqu '3 + 5') and pusiqallqu (pusi qallqu ‘4 + 5’), and tunka ‘10’, based on it they form a wonderfully precise order, perfect from the intercultural, linguistic, ethnomathematical and mathematical interpretation. En este trabajo se revisó la literatura del sistema de numeración aimara, su historia, coexistencias y análisis con respecto a diversas culturas y lenguas, considerando sus tipos, principios y características. En base a ello, se procede a su reconstrucción original del sistema de numeración de la lengua aimara, ya que existen antecedentes y evidencias para afirmar que es un sistema posicional oral, regular, en base decimal, con auxiliar quinaria, además de aditivo y multiplicativo. Se encontró que la raíz primitiva, el número cinco sería qallqu; base originaria al que siguen por adición los demás números:  maya ‘1’, paya ‘2’, kimsa ‘3’, pusi ‘4’, qallqu ‘5’, maqallqu (maya qallqu ‘1 + 5’), paqallqu  (paya qallqu ‘2 + 5’),  kimsaqallqu (kimsa qallqu ‘3 + 5’) y pusiqallqu (pusi qallqu ‘4 + 5’), y tunka ‘10’, en función a ella se forman un orden maravillosamente precisa, perfecta desde la interpretación intercultural, lingüística, etnomatemática y matemática. Universidad Peruana Unión 2020-12-02 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf text/html https://apuntesuniversitarios.upeu.edu.pe/index.php/revapuntes/article/view/591 10.17162/au.v11i1.591 Apuntes Universitarios; Vol. 11 Núm. 1 (2021): Revista de Investigación Apuntes Universitarios; 364 - 385 2304-0335 2225-7136 10.17162/au.v11i1 spa https://apuntesuniversitarios.upeu.edu.pe/index.php/revapuntes/article/view/591/683 https://apuntesuniversitarios.upeu.edu.pe/index.php/revapuntes/article/view/591/705 Derechos de autor 2020 Wilfredo Bizarro, Henry Mark Vilca Apaza, Wilson Sucari https://creativecommons.org/licenses/by/4.0
spellingShingle Mathematics, numbering system, Aymara, intercultural, ethnomathematics.
Matemática, sistema de numeración, aimara, intercultural, etnomatemática.
Bizarro, Wilfredo
Vilca Apaza, Henry Mark
Sucari, Wilson
Aymara number system: a revision for its reconstruction
title Aymara number system: a revision for its reconstruction
title_alt Sistema de numeración aimara: una revisión para su reconstrucción
title_full Aymara number system: a revision for its reconstruction
title_fullStr Aymara number system: a revision for its reconstruction
title_full_unstemmed Aymara number system: a revision for its reconstruction
title_short Aymara number system: a revision for its reconstruction
title_sort aymara number system a revision for its reconstruction
topic Mathematics, numbering system, Aymara, intercultural, ethnomathematics.
Matemática, sistema de numeración, aimara, intercultural, etnomatemática.
topic_facet Mathematics, numbering system, Aymara, intercultural, ethnomathematics.
Matemática, sistema de numeración, aimara, intercultural, etnomatemática.
url https://apuntesuniversitarios.upeu.edu.pe/index.php/revapuntes/article/view/591
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