intrinsicality in terms of modality and naturalness. Their key idea, drawing on earlier work by Jaegwon Kim, was that an intrinsic property is one that is independent of accompaniment, which is to say that P is intrinsic iff the following four conditions are all met: 1. It is possible for a lonely object to have P. 2. It is possible for an accompanied object to have P. 3. It is possible for a lonely object to lack P. 4. It is possible for an accompanied object to lack P. Langton and Lewis say that an object is “accompanied ” iff it coexists “with some contingent object wholly distinct from itself. ” (Langton and Lewis 1998, p. 333) A “lonely ” or “unaccompa-nied ” object is one that is not accompanied. We will also speak of an object being ...