Abstract
The paper takes up a traditional view that has also been a part of some recent analytic metaphysics, namely, the view that substance is to be understood in terms of independence. Taking as my point of departure some recent remarks by Kit Fine, I propose reviving the Aristotelian-scholastic idea that the sense in which substances are independent is that they are non-inherent, and I do so by developing a broad notion of inherence that is more usable in the context of contemporary analytic metaphysics than the traditional notion is. I end by showing how non-inherence, while necessary for being a substance, cannot be taken as sufficient without some qualifying remarks