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Previous issue date: 2008-06-26 / The present study seeks to present a historico-epistemological analysis of the development of the mathematical concept of negative number. In order to do so, we analyzed the different forms and conditions of the construction of mathematical knowledge in different mathematical communities and, thus, identified the characteristics in the establishment of this concept. By understanding the historically constructed barriers, especially, the ones having ontologicas significant, that made the concept of negative number incompatible with that of natural number, thereby hindering the development of the concept of negative, we were able to sketch the reasons for the rejection of negative numbers by the English author Peter Barlow
(1776 -1862) in his An Elementary Investigation of the Theory of Numbers, published in 1811. We also show the continuity of his difficulties with the treatment of negative numbers in the
middle of the nineteenth century / O presente estudo visa apresentar um incurso hist?rico-epistemol?gico no desenvolvimento do conceito matem?tico de n?mero negativo. Para tanto, inter-relacionamos as diferentes formas e condi??es de constru??o do conhecimento matem?tico e, assim, identificando as conseq?entes caracter?sticas no estabelecimento do referido conceito, em diferentes comunidades matem?ticas e momentos hist?ricos. Com isso, diante de um entendimento das barreiras constru?das historicamente perante o conceito de n?mero negativo, especialmente, as de origem ontol?gicas, que incompatibilizava o conceito de n?mero negativo com o conceito de n?mero natural, impedindo o desenvolvimento do conceito de n?mero negativo. Assim, esbo?amos as raz?es de rejei??o aos n?meros negativos, como ra?zes de equa??es, pelo ingl?s Peter Barlow (1776 1862) em An Elementary Investigation of the Theory of Numbers, publicada em 1811. N?s tamb?m diagnosticamos a continuidade das dificuldades com o tratamento com os n?meros negativos, j? em pleno transcurso do s?culo XIX
| Identifer | oai:union.ndltd.org:IBICT/oai:repositorio.ufrn.br:123456789/16045 |
| Date | 26 June 2008 |
| Creators | Santos, Marta Figueiredo dos |
| Contributors | CPF:13056476453, http://lattes.cnpq.br/2466525106349625, Morey, Bernadete Barbosa, CPF:59616571834, http://lattes.cnpq.br/7554818862651491, R?go, R?mulo Marinho do, CPF:05962986415, http://lattes.cnpq.br/7603835797321850, Fossa, John Andrew |
| Publisher | Universidade Federal do Rio Grande do Norte, Programa de P?s-Gradua??o em Ensino de Ci?ncias Naturais e Matem?tica, UFRN, BR, Ensino de Ci?ncias Naturais e Matem?tica |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf |
| Source | reponame:Repositório Institucional da UFRN, instname:Universidade Federal do Rio Grande do Norte, instacron:UFRN |
| Rights | info:eu-repo/semantics/openAccess |
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