Aristotle's mathematical objects

Authors

  • Matheus Gomes Reis Pinto Federal University of Rio Grande do Sul

Keywords:

Aristóteles, Philosophy of Mathematics, Mathematical Objects, Substance

Abstract

This paper aims to investigate the structure and role of mathematics and its objects in Aristotle’s philosophy, by analyzing his writings about mathematics – more specifically the books M and N of Metaphysics – as well as the philosophical discussions with his teacher, Plato. An important and preliminary step was to analyze the essential concepts of mathematics, such as the notions of substance (οὐσία), sensitive and non-sensitive objects, and the problems that arise from them when attempting to situate mathematical objects in some domain.

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References

ARISTÓTELES. Categories. Trad. John Lloyd Ackrill. In: BARNES, Johnathan. The complete works of Aristotle. Princeton: Princeton University Press, 1991, p. 3-24.

ARISTÓTELES. Física I-II. Pref., introd., trad. e comentários Lucas Angioni. Campinas: Ed. UNICAMP, 2009.

ARISTÓTELES. Metaphysics. Trad. William D. Ross. Oxford: Claredon Press, 1924.

CATTANEI, Elisabetta. Entes matemáticos e metafísica: Platão, a Academia e Aristóteles em confronto. São Paulo: Loyola, 2005.

CASANAVE, Abel Lassalle; SAUTTER, Frank Thomas; SECCO, Gisele D. Abstração como operação lógica em Aristóteles. O que nos faz pensar, Rio de Janeiro, n. 24, p. 205-10, out. 2008.

LEAR, Jonathan. Aristotle's philosophy of mathematics. The philosophical review, v. 91, n. 2, p. 161-92, 1982. https://doi.org/10.2307/2184625.

LEAR, Jonathan. Aristóteles: o desejo de entender. Trad. Lygia Araujo Watanabe. São Paulo: Discurso Editorial, 2006.

MENDELL, Henry. Aristotle and mathematics. Stanford encyclopedia of philosophy, inverno 2008. Disponível em: https://plato.stanford.edu/archives/win2008/entries/aristotle-mathematics/.

SILVA, Jairo José da. Filosofias da matemática. São Paulo: Ed. UNESP, 2007.

SMITH, R. ARISTOTLE AND MATHEMATICS. THE STANFORD ENCYCLOPEDIA OF PHILOSOPHY,

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Published

2016-09-13

How to Cite

GOMES REIS PINTO, Matheus. Aristotle’s mathematical objects. Inquietude, Goiânia, v. 6, n. 2, p. 96–108, 2016. Disponível em: https://revistainquietude.com.br/index.php/inquietude/article/view/189. Acesso em: 19 may. 2025.

Issue

Vol. 6 No. 2 (2015)

Section

Artigos

License

Copyright (c) 2016 Matheus Gomes Reis Pinto

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.