Abstract

Some properties and relations take time to be instantiated. They are not instantiated at a time, but through a temporal interval. Cognitive properties and relations such as understanding and thinking are like this, but also many biological, chemical, and microphysical properties and relations such as absorbing, freezing, radiating, and decaying. In this paper, I make a case for taking seriously such temporally extended properties (TEPs). I argue that they are ubiquitous and that our current theories of persistence would do well to make room for them in their ontology. The focus here is on fourdimensionalism and different ways it can accommodate TEPs. I explore four different ways of dealing with TEPs within a fourdimensionalist framework. These are: (a) to make the objects that bear apparent TEPs temporally more extended or “chunky”, while giving TEPs a reductive or eliminativist treatment in favor of instantaneous properties (IPs); (b) to make a series of objects the bearer of TEP predicates, while, again, holding only to IPs; (c) to endorse TEPs in their own right and take them to be temporally extended in a literal sense; and (d) to hold on to TEPs as atemporal properties and make the exemplification relation temporally extended. I discuss each of these options and highlight the types of problems that a fourdimensionalist faces in attempting to accommodate TEPs. I conclude that fourdimensionalists do not yet have a satisfactory account of TEPs in their hands.