Simultaneous mathematics or different uses of mathematics? Reflections from the philosophy of Wittgenstein - doi: 10.4025/actascieduc.v35i1.17806

Authors

  • Paulo Vilhena da Silva Universidade Federal do Pará
  • Marisa Rosâni Abreu da Silveira Universidade Federal do Pará

DOI:

https://doi.org/10.4025/actascieduc.v35i1.17806

Keywords:

vagueness of the concept, etnomathematics, language games, family resemblances

Abstract

Our goal in this paper is to propose an interpretation different from that which usually has been given on the subject ‘mathematics or simultaneous mathematics’, namely, that there would be different mathematics: the mathematics of the day-to-day, school mathematics, academic mathematics etc. This assertion is often made from reflections of the mature philosophy of Ludwig Wittgenstein. Thus, we intend to develop this work as follow: we will discuss some general issues in the first phase of Wittgenstein's thought. These issues help to understand the discussion that will follow; we will explain how is based the asserting of the existence of several mathematics, according to our understanding, and discussing concepts of Wittgenstein – with special attention to the concept of family resemblances – we propose our interpretation on the theme ‘mathematics or simultaneous mathematics’.

 

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Author Biographies

  • Paulo Vilhena da Silva, Universidade Federal do Pará

    Paulo Vilhena da Silva é Mestre e Doutorando em Educação em Ciências e Matemáticas, pelo Programa de Pós-Graduação em Educação em Ciências e Matemáticas, da Universidade Federal do Pará. É professor do ensino básico na rede pública do município de Ananindeua, Pará.

  • Marisa Rosâni Abreu da Silveira, Universidade Federal do Pará
    Marisa Rosâni Abreu da Silveira é Dra. em Educação pela Universidade Federal do Rio Grande do Sul (Brasil) com estágio doutoral na Universidade de Paris 7 (França) e Estágio Pós-Doutoral na Universidade de Paris 1 (Sorbonne/França). Professora da Universidade Federal do Pará no Programa de Pós-Graduação em Educação em Ciências e Matemáticas.

Published

2013-03-08

Issue

Section

Teaching and Learning

How to Cite

Simultaneous mathematics or different uses of mathematics? Reflections from the philosophy of Wittgenstein - doi: 10.4025/actascieduc.v35i1.17806. (2013). Acta Scientiarum. Education, 35(1), 125-132. https://doi.org/10.4025/actascieduc.v35i1.17806

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