It is my aim in this paper to show that the contemporary assimilation of essence to modality is fundamentally misguided and that, as a consequence, the corresponding conception of metaphysics should be given up. It is not my view that the modal account fails to capture anything which might reasonably be called a concept of essence. My point, rather, is that the notion of essence which is of central importance to the metaphysics of identity is not to be understood in (...) modal terms or even to be regarded as extensionally equivalent to a modal notion. The one notion is, if I am right, a highly refined version of the other; it is like a sieve which performs a similar function but with a much finer mesh. (shrink)

Ontological dependence is a relation—or, more accurately, a family of relations—between entities or beings. For there are various ways in which one being may be said to depend upon one or more other beings, in a sense of “depend” that is distinctly metaphysical in character and that may be contrasted, thus, with various causal senses of this word. More specifically, a being may be said to depend, in such a sense, upon one or more other beings for its existence or (...) for its identity. Some varieties of ontological dependence may be analyzed in modal terms—that is, in terms of distinctly metaphysical notions of possibility and necessity—while others seem to demand an analysis in terms of the notion of essence. The latter varieties of ontological dependence may accordingly be called species of essential dependence. Notions of ontological dependence are frequently called upon by metaphysicians in their proposed analyses of other metaphysically important notions, such as the notion of substance. (shrink)

Both Pierre Duhem and his successors emphasized that medieval scholastics created a science of mechanics by bringing both observation and mathematical techniques to bear on natural effects. Recent research into medieval and early modern science has suggested that Aristotle's subalternate sciences also were used in this program, although the degree to which the theory of subalternation had been modified is still not entirely clear. This paper focuses on the English tradition of subalternation between 1310 and 1350, and concludes with a (...) discussion of the theory advanced by Thomas Claxton early in the fifteenth century. (shrink)

I discuss what Aristotle means when he say that scientific demonstration must proceed from necessary principles. I argue that, for Aristotle, scientific demonstration should not be reduced to sound deduction with necessary premises. Scientific demonstration ultimately depends on the fully appropriate explanatory factor for a given explanandum. This explanatory factor is what makes the explanandum what it is. Consequently, this factor is also unique. When Aristotle says that demonstration must proceed from necessary principles, he means that each demonstration requires the (...) principle that is the necessary one for the fully appropriate explanation of its explanandum. This picture also provides a key to understand Aristotle's thesis that scientific explanation depends on essences: it is the essence of the attribute to be explained that should be stated as the fully appropriate explanatory factor. (shrink)

Anyone who has read Plato’s Republic knows it has a lot to say about mathematics. But why? I shall not be satisfied with the answer that the future rulers of the ideal city are to be educated in mathematics, so Plato is bound to give some space to the subject. I want to know why the rulers are to be educated in mathematics. More pointedly, why are they required to study so much mathematics, for so long?

A significant reorientation is currently under way in analytic metaphysics, away from an almost exclusive focus on questions of existence and towards a greater concentration on questions concerning the dependence of one type of phenomenon on another. Surprisingly, despite the central role dependence has played in philosophy since its inception, interest in a systematic study of this concept has only recently surged among contemporary metaphysicians. In this paper, I focus on a promising account of ontological dependence in terms of a (...) non-modal and sufficiently constrained conception of essence developed by Kit Fine. I argue that even this essentialist account is, as it stands, not fine-grained enough to recognize different varieties of dependence which ought to be distinguished even within the realm of ontology. In some cases, an entity may be ontologically dependent on its essential constituents out of which it is constructed; but in other cases, an entity may be ontologically dependent on another for a different reason. A framework which glosses over these differences does not offer a proper diagnosis of why one entity ontologically depends on another. (shrink)

At the end of the Meno, the character Socrates claims that true doxa is distinguished from epistēmē by a working out of the explanation. This chapter argues that working out the explanation consists, for Socrates, in seeing how the fact to be explained is grounded in facts about the natures of the relevant fundamental entities of the domain to which it belongs. It reconstructs the resulting conception of epistēmē. Once that reconstruction is complete, it argues that notions of epistemic justification (...) are out of place in interpreting the Meno. It then appeals to recent work in epistemology to settle the long-standing question of whether Socrates' account of epistēmē is better interpreted as an account of knowledge or as an account of understanding, arguing that it is more charitably taken in the latter way. Moreover, the chapter notes that Socrates' account of epistēmē provides insights that any philosopher interested in the nature of understanding should take seriously. (shrink)