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Published 2016-12-27
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Sánchez, M. M. (2016). Aristotle ́s Philosophy of Mathematics. Tópicos, Revista De Filosofía, (52), 43–66. https://doi.org/10.21555/top.v0i52.784
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Abstract
Aristotle’s Philosophy of Mathematics can be defined as the research about three different issues: (1) what is the epistemological place of mathematics inside the realm of speculative sciences; (2) what is the method of mathematics, especially the method of geometry and arithmetic; and (3) what is the ontological status or kind of existence of mathematical entities. The primary aim of Aristotle is to build a bridge between mathematics, ontology and philosophy of nature, in order to make clear what is the object of each one.References
- Annas, J. (1987). Die Gegenständen der Mathematik bei Aristoteles. En Mathematics and metaphysics in Aristotle = Mathematik und Metaphysik bei Aristoteles: Akten des X. Symposium Aristotelicum, Sigriswil, 6.- 12. September 1984 / Andreas Graeser (Ed./Hrsg.), 131-147.
- ____ (1976). Aristotle’s Metaphysics M-N. Oxford: Oxford Clarendon Press.
- Aristóteles (1996). Física. J. C. Calvo Martínez (trad.) Madrid: CSIC.
- ____ (1994). Metafísica. T. Calvo Martínez (trad.) Madrid: Gredos.
- Barnes, J. (1985). Aristotelian arithmetic. Revue de philosophie ancienne 3, 97-133.
- Boeri, Marcelo D. (2010). Acerca de los múltiples sentidos de prioridad. Buenos Aires: Colihue.
- Cencillo, L. (1958). Hyle. La materia en el Corpus Aristotelicum. Madrid: CSIC.
- Cleary, J. J. (1995). Aristotle and Mathematics: Aporetic Method in Cosmology and Metaphysics. Leiden: Brill.
- ____ (1988). On the many senses of priority. Journal of the History of Philosophy. Carbondale: Southern Illinois University.
- ____ (1985). On the terminology of Abstraction in Aristotle. En Phronesis 30, 13-47.
- De Aquino, T. (1995). Commentary on Aristotle’s Metaphysics. Indiana: Dumb Ox Books.
- Egger, P. (1972). Über die Zahlen bei Aristoteles: Ihr Bau und Ihre Bedeutung. En Kant-Studien 63, 143-162.
- Einarson, B. (1936). On certain mathematical terms in Aristotle’s Logic.
- En American Journal of Philosophy 59, 33-54, 151-172.
- Gambra, J. M. (1996). El número en Aristóteles. En Thémata 17, 45-74.
- Happ, H. (1971). Hyle. Studien zum aristotelischen Materie-Begriff. Berlin- New York.
- Heath, T. (1949). Mathematics in Aristotle. Oxford: Oxford University Press.
- ____ (1921). A History of Greek Mathematics. (2 vol.) Nueva York: Dover.
- Jaeger, W. (2000). Aristóteles. Bases para la historia de su desarrollo intelectual. México: FCE.
- Joachim, H. H. (1922). On Coming-to-be and Passing-away. Oxford: Clarendon Press.
- Klein, J. (1968). Greek Mathematical Thought and the Origin of Algebra. Cambridge, Mass: MIT Press.
- Lear, J. (1982). Aristotle’s philosophy of Mathematics. En Philosophical review 91, 161-192.
- Mignucci, M. (1987). Aristotle’s Arithmetic. En Mathematics and metaphysics in Aristotle = Mathematik und Metaphysik bei Aristoteles: Akten des X. Symposium Aristotelicum, Sigriswil, 6.-12. September 1984 / Andreas Graeser (Ed./Hrsg.), 175-211.
- Mueller, I. (1970). Aristotle on Geometrical Objects. En Archiv für Gesichte der Philosophie 52, 156-171.
- Phillipe, M.-D. (1948). ’Αφαίρεσις, πρόσθεσις, χωρίζειν dans la philosophie d’Aristote. En Revue Thomiste 48, 461-479.
- Ross, W. D. (1936) Aristotle’s Physics. Oxford: Clarendon Press.
- ____ (1924). Aristotle’s Metaphysics. Oxford: Clarendon Press.
- Vigo, Alejandro G. (2011). Estudios aristotélicos. Pamplona: Eunsa.
- Wieland, W. (1962). Aristotelische Physik. Berlin: De Gruyter.
- ____ (1960/61) Das Problem der Prinzipienforschung und die aristotelische Physik. En Kant-Studien 52, 206-19.