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Luiz Gonzaga Xavier de Barros ;Boletim de Educação Matemática 2015, 29 52

Author: Michael Friedrich Otte

Source: http://www.redalyc.org/articulo.oa?id=291241073017


Boletim de Educação Matemática ISSN: 0103-636X bolema@rc.unesp.br Universidade Estadual Paulista Júlio de Mesquita Filho Brasil Friedrich Otte, Michael; Gonzaga Xavier de Barros, Luiz What is Mathematics, Really? Who Wants to Know? Boletim de Educação Matemática, vol.
29, núm.
52, agosto, 2015, pp.
756-772 Universidade Estadual Paulista Júlio de Mesquita Filho Rio Claro, Brasil Available in: http:--www.redalyc.org-articulo.oa?id=291241073017 How to cite Complete issue More information about this article Journals homepage in redalyc.org Scientific Information System Network of Scientific Journals from Latin America, the Caribbean, Spain and Portugal Non-profit academic project, developed under the open access initiative ISSN 1980-4415 DOI: http:--dx.doi.org-10.1590-1980-4415v29n52a16 What is Mathematics, Really? Who Wants to Know?1 O que é Realmente a Matemática? Quem Quer Saber? Michael Friedrich Otte*2 Luiz Gonzaga Xavier de Barros**3 Abstract Famous physicists, like Einstein and Wigner have been wondering, why mathematical symbolism could play such an effective and decisive role in the development of physics.
Since the days of Plato, there have been essentially two different answers to this question.
To Plato mathematics was a science of the unity and order of this universe.
Since Galilei people came to believe that mathematics does not describe the objective world, it is not a reflection of some metaphysical realism.
It is rather a reflection of human activity in this world.
Kant, by his “Copernican Revolution of Epistemology” seems to have been the first to realize this.
For example, number, or more generally arithmetic, was to the Pythagoreans “a cosmology” (KLEIN, 1985, p.
45), to Dedekind it is a means to better distinguish between things.
The paper sketches the transition from an ontological to a semiotic interpretation of mathematics. Keywords: Mathematics.
Mathematics Education.
Philosophy of Mathematics. Epistemology. Cognitio...

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