•  2
    Hypokeimenon vs. Substance
    Review of Metaphysics 74 (294): 227-250. 2020.
    Aristotle’s concept of subject, or hypokeimenon, has been understudied in scholarship, in part because, since Aristotle associates it with his concept of ousia or substance, discussion of hypokeimenon is often eclipsed by that of substance. It is often thought that Aristotle introduces hypokeimenon as the criterion for being a substance in his Categories. In this essay I argue that he does not, thus calling into question some entrenched views about Aristotelian substance. Divorcing hypokeimenon …Read more
  •  3
    Continuity and Mathematical Ontology in Aristotle
    Journal of Ancient Philosophy 14 (1): 30-61. 2020.
    In this paper I argue that Aristotle's understanding of mathematical continuity constrains the mathematical ontology he can consistently hold. On my reading, Aristotle can only be a mathematical abstractionist of a certain sort. To show this, I first present an analysis of Aristotle's notion of continuity by bringing together texts from his Metaphysica and Physica, to show that continuity is, for Aristotle, a certain kind of per se unity, and that upon this rests his distinction between continui…Read more