What is a Continuant?

In this paper, I explore the question what a continuant is, in the context of a very interesting suggestion recently made by Rowland Stout, as part of his attempt to develop a coherent ontology of processes. Stout claims that a continuant is best thought of as something that primarily has its properties at times, rather than atemporally – and that on this construal, processes should count as continuants. While accepting that Stout is onto something here, I reject his suggestion that we should accept that processes are both occurrents *and* continuants; nothing, I argue, can truly occur, or happen, which does not have temporal parts. I make an alternative suggestion as to how one might deal with the peculiar status of processes without jettisoning a very natural account of occurrence.