Abstract

SPACEK, Iuri Kieslarck; CANDIOTTO, William Casagrande  and  DAMAZIO, Ademir. The nature of mathematical objects outlined. Educação e Filosofia [online]. 2021, vol.35, n.73, pp.53-82.  Epub Jan 11, 2024. ISSN 1982-596X.  https://doi.org/10.14393/revedfil.v35n73a2021-57450.

The nature of mathematical objects is one of the themes in the process of teaching mathematics that reflects distinctive positions. Based on this premise, the present article aims to discuss the historical and logical process of development of Mathematics, taking into account the specifics of its objects, found on unrealistics and realistics concepts. Furthermore, it considers the manifestations in the comprehension of metaphysics inversion of these objects. This objective has as reference the following question: What is the comprehension of the nature of mathematical objects, in the process of development of this science, disclosed by materialistic and idealistic, realistic and unrealistic concepts? The discussion begins with the characterization of the mathematical objects from the realistics and unrealistics manifestations, with an emphasis on the process of entification which was carried out by pythagoreans, such as Plato and Aristotle. Subsequently, it provides the characterization of the comprehension of the mathematical objects based on idealism and materialism. The approaches applied are based on another one, that is the philosophical and historical one, which intends to unveil the essence by which it expresses the comprehension of the mathematical objects as paramount for the educational process.

Keywords : Philosophy of Mathematics; Mathematical concepts; Mathematics Education.

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