On the Ontological and Epistemological Status of Mathematical Entities
On the Ontological and Epistemological Status of Mathematical Entities

Summary/Abstract: By examining the ontological and epistemological image of Plato's doctrine and that of the neo-Platonists Iamblichus and Proclus Diadochus, we explain in more detail the viewpoints of the latter on ''mathematical beings'', ''geometrical beings'' and ''mathematical methods''. We also find that the principles of ''the one and the many'', of ''the limited and the unlimited'' etc. are happily discovered ''strongholds'' reinforced through two-and-half millennia of development, especially in the natural sciences.

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