Avicenna against Mathematical Platonism

Abstract In this paper I investigate Avicenna’s criticisms of the separateness of mathematical objects and of the view that they are principles for natural things. These two theses form the core of Plato’s view of mathematics; i.e., mathematical Platonism. Surprisingly, Avicenna does not consider hi...

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Auteur principal: Zarepour, Mohammad Saleh (Auteur)
Type de support: Électronique Article
Langue:Anglais
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Publié: Brill 2019
Dans: Oriens
Année: 2019, Volume: 47, Numéro: 3/4, Pages: 197-243
Sujets non-standardisés:B mathematical forms
B Avicenna
B mathematical objects
B Plato
B intermediates
B mathematical Platonism
B Aristotle
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Résumé:Abstract In this paper I investigate Avicenna’s criticisms of the separateness of mathematical objects and of the view that they are principles for natural things. These two theses form the core of Plato’s view of mathematics; i.e., mathematical Platonism. Surprisingly, Avicenna does not consider his arguments against these theses as attacks on Plato. This is because his understanding of Plato’s philosophy of mathematics differs from both Plato’s original view and what Aristotle attributes to Plato.
ISSN:1877-8372
Contient:Enthalten in: Oriens
Persistent identifiers:DOI: 10.1163/18778372-04700100