: Metaphysics B considers two sets of views that hypostatize mathematicals. Aristotle discusses the first in his B.2 treatment of aporia 5, and the second in his B.5 treatment of aporia 12. The former has attracted considerable attention; the latter has not. I show that aporia 12 is more significant than the literature suggests, and specifically that it is directly addressed in M.2 – an indication of its importance. There is an immediate problem: Aristotle spends most of M.2 refuting the (...) view that mathematicals are separate; but the B.5 mathematicals are inherent. I argue that the B.5 inherence is compatible with the M.2 separateness, and further, that aporia 12 is more than just a puzzle about the hypostatization of mathematicals. It is also a puzzle about the ontological status of mathematicals relative to sensibles. (shrink)

This is a study of the correspondence between Forms and particulars in Plato. The aim is to determine whether they exhibit an ontological symmetry, in other words, whether there is always one where there is the other. This points to two questions, one on the existence of things that do not have corresponding Forms, the other on the existence of Forms that do not have corresponding things. Both questions have come up before. But the answers have not been sufficiently sensitive (...) to the intricacies of the questions. Nor have they been adequately resourceful with what little evidence there is in the original sources. The intention here is to make up for that deficiency, not just with better answers but also with better insight into the questions. (shrink)

Corrective intervention in Plato's metaphysics replacing the standard view of Plato as a metaphysical dualist with a novel and revolutionary paradigm of unitary pluralism in a single reality built on ontological diversity.

Plato’s nephew Speusippus has been widely accepted as the historical person behind the mask of the anti-hedonists in Phlb. 42b–44c. This hypothesis is supported by, inter alia, the link between Socrates’ char- acterization of them as δυσχερεῖς and the frequent references of δυσχέρεια as ἀπορία to Speusippus in Aristotle’s Metaphysics MN. This study argues against assigning any privileged status to Speusippus in the assimilation of δυσχέρεια with ἀπορία. Instead, based on a comprehensive survey of how δυσχερ- words were used in (...) classical antiquity, the semantic shift of δυσχέρεια can be explained in an alternative way. (shrink)

In this paper I present an original interpretation of the concept of separation in Plato. First, I argue that despite the fact that the ancient Greek word for “separation” almost never appears in the metaphysical discussions of Plato’s dialogues, the key role of the concept of separation in Plato’s metaphysics can be attested by the importance the platonic tradition gives to it. Therefore, understanding separation in Plato seems to be a problem we must face, but we do not have a (...) clear strategy to solve it. My strategy will be to tackle this problem by looking at a specific passage in which Plato distinguishes the ontological status of Forms and sensible things. Through the analysis of this passage and its relations to another metaphysical argument in Plato, I hope to show that Plato’s careful choice of words and syntactical structure of sentences aims to distinguish two ontologically different types of entities: the unrelational, separate Forms, and the relational sensible things. (shrink)