É a matemática relativa? A relação entre conhecimento, matemática e as questões socioculturais a partir de uma leitura das idéias de David Bloor. / Is the mathematics relative? The relationship between knowledge, mathematics and sociocultural issues from a reading of David Bloors ideas.
AUTOR(ES)
Diana Patricia Ferreira de Santana
DATA DE PUBLICAÇÃO
2007
RESUMO
The purpose of this work is to make an analysis about the arguments in favour of a mathematics sociology. In order to reach this aim, it is necessary to identify the immanent and transcendent aspects in the cultural social context which make a relationship of the objects that form mathematical knowledge with social practices. Firstly, we are going to make a critical reading of three last chapters of "Knowledge and Social Imagery" by David Bloor. This book aims to investigate nature and contents of scientific knowledge by the so called Strong Program in Sociology whose principles include causality, impartiality, symmetry and reflexivity. The last three chapters are destined to mathematics. Secondly, we will make a confrontation between the hypothesis and the authorsarguments in favour and against Bloors outlook. Eventually, we will present some contributions to Mathematical Education Philosophy. Therefore, the way (method) that better suits to our purpose is the critical discussion among authors, based on bibliographical sources only. This is not result of empirical research, but a theoretical character reflexion. There are some elements of possible relationship between mathematics and cultural and social aspects: the cultural diffusion phenomenon, certain universal practices such as counting, measuring, playing, searching, etc, the understanding that certain universal mathematical imperatives are formed from living forms that participate in a language game, etc.. Whatever is the explanation that makes a relationship between mathematics and social cultural questions, there are concepts go beyond any social determination. Our task is to demonstrate that such concepts exists, and although they differ from David Bloor´s outlook, they do not make impossible the existence of a mathematics sociology.
ASSUNTO(S)
matemática mathematics relativismo questões socioculturais sociocultural issues relativism sociologia da matemática mathematics sociology
