期刊名称：Bolema: Mathematics Education Bulletin = Bolema: Boletim de Educação Matemática
印刷版ISSN：1980-4415
出版年度：2015
卷号：29
期号：52
页码：756-772
语种：Portuguese
出版社：UNESP - Campus de Rio Claro - Instituto de Geociências e Ciências Exatas
摘要：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. Cognition. Semiotics.
关键词：Matemática. Filosofia da Matemática. Epistemologia. Cognição. Semiótica.
