The Aristotelian Plato
Some Aporias of Participation, and the Ontological Status of Mathematical Entities
于The International Journal of the Platonic TraditionSearch for other papers by Claudia Maggi in
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Abstract
The purpose of this paper is to point out that some mathematical doctrines attributed by Aristotle to Plato find their origin in a threefold order of problems: first, in some allusions contained in the dialogues, which might create ambiguities within the so-called standard model of ideas; second, in the Aristotelian interpretation of ideal entities as universals or predicates, an interpretation in turn partly authorized by Plato himself; third, in the tendency not to emphasize the possibility of understanding participation and the whole-part relationship from a non-quantitative point of view. In this paper I will disregard the complex debate about whether or not to attribute the unwritten doctrines of the Aristotelian account to Plato, but I will appraise in what sense some Aristotelian objections to participation may arise from the fact of conceiving of numbers and magnitudes as ideas.
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Aubenque, P. 1983. Sur l’inauthenticité du livre K de la Métaphysique, in P. Moraux, J. Wiesner (eds.), Zweifelhaftes im Corpus Aristotelicum. Studien zum einigen Dubia. Akten des 9. Symposium Aristotelicum (Berlin, 7-16 September 1981), Berlin- New York: W. de Gruyter, 318-344.
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Burnyeat, M. F. 1987. Platonism and Mathematics: a Prelude to Discussion. In: A. Graeser (ed.), Mathematics and Metaphysics in Aristotle. Mathematik und Metaphysik bei Aristoteles. Akten des X. Symposium Aristotelicum (Sigriswil, 6-12 September 1984), Bern-Stuttgart: P. Haupt, 213-240.
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Centrone, B. 2009. La testimonianza aristotelica sui principi pitagorici in Metaphysica Alpha. Un resoconto distorto?. In: R. L. Cardullo (ed.), Il libro Alpha della Metafisica di Aristotele tra storiografia e teoria. Atti del Convegno nazionale (Catania 16-18 gennaio 2008). Catania: Cuecm, 21-36.
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Mueller, I. 1987. Aristotle’s Approach to the Problem of Principles in Metaphysics M and N. In: A. Graeser (ed.), Mathematics and Metaphysics in Aristotle. Mathematik und Metaphysik bei Aristoteles. Akten des X. Symposium Aristotelicum (Sigriswil, 6-12 September 1984). Bern-Stuttgart: P. Haupt, 241-259.
| 全部期间 | 过去一年 | 过去30天 | |
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| 摘要浏览次数 | 510 | 195 | 12 |
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The Aristotelian Plato
Some Aporias of Participation, and the Ontological Status of Mathematical Entities
于The International Journal of the Platonic TraditionSearch for other papers by Claudia Maggi in
Current site
Google Scholar
PubMed
Abstract
The purpose of this paper is to point out that some mathematical doctrines attributed by Aristotle to Plato find their origin in a threefold order of problems: first, in some allusions contained in the dialogues, which might create ambiguities within the so-called standard model of ideas; second, in the Aristotelian interpretation of ideal entities as universals or predicates, an interpretation in turn partly authorized by Plato himself; third, in the tendency not to emphasize the possibility of understanding participation and the whole-part relationship from a non-quantitative point of view. In this paper I will disregard the complex debate about whether or not to attribute the unwritten doctrines of the Aristotelian account to Plato, but I will appraise in what sense some Aristotelian objections to participation may arise from the fact of conceiving of numbers and magnitudes as ideas.
| 全部期间 | 过去一年 | 过去30天 | |
|---|---|---|---|
| 摘要浏览次数 | 510 | 195 | 12 |
| 全文浏览次数 | 10 | 4 | 0 |
| PDF下载次数 | 54 | 12 | 0 |
