Kris McDaniel

I argue that a solution to puzzles concerning the relationship ofobjects and their properties – a version of the `bundle' theory ofparticulars according to which ordinary objects are mereologicalfusions of monadic and relational tropes – is also a solution topuzzles of material constitution involving the allegedco-location of material objects. Additionally, two argumentsthat have played a prominent role in shaping the current debate,Mark Heller's argument for Four Dimensionalism and Peter vanInwagen's argument against Mereological Universalism, are shownto be unsound given this version of the bundle theory.

There are three interconnected goals of this paper. The first is to articulate and motivate a view of the methodology for doing metaphysics that is broadly phenomenological in the sense of Husserl circa the Logical Investigations. The second is to articulate an argument for the importance of studying the history of philosophy when doing metaphysics that is in accordance with this methodology. The third is to confront this methodology with a series of objections and determine how well it fares in light of them.

The Frege-Russell view is that existence is a second-order property rather than a property of individuals. One of the most compelling arguments for this view is based on the premise that there is an especially close connection between existence and number. The most promising version of this argument is by C.J.F Williams (1981, 1992). In what follows, I argue that this argument fails. I then defend an account according to which both predications of number and existence attribute properties to individuals

I am attracted to ontological pluralism, the doctrine that some things exist in a different way than other things.1 For the ontological pluralist, there is more to learn about an object’s existential status than merely whether it is or is not: there is still the question of how that entity exists. By contrast, according to the ontological monist, either something is or it isn’t, and that’s all there is say about a thing’s existential status. We appear to be to be ontological committed to what I will call almost nothings. Examples of almost nothings include holes, cracks, and shadows; almost nothings thrive in the absence of ‘positive’ entities such as donuts, walls, and sunlight. Let’s focus on holes, since the literature on them is voluminous.2 We quantify over holes, and even count them: we say, for example, that there are some holes in the cheese, seven to be precise. We ascribe features to them and talk as though they stand in relations: that hole is three feet wide, much wider than that tire over there. Holes apparently persist through time, as evidenced by the fact that my sweater has the same hole in it as the last time you saw me wear it. We even talk as though holes are causally efficacious: my ankle was badly sprained because I stepped in that hole in the sidewalk.3 It seems then that we believe in holes. If our beliefs are true, holes must enjoy some kind of reality. This puts the ontological monist in an uncomfortable position. According to her, everything that there is enjoys the same kind of reality, which is the kind of reality enjoyed by full-fledged concrete entities such as ourselves. She is committed to the unpleasant claim that holes are just as real as concretia, a claim that is apt to be met with incredulous stares by those not acquainted with contemporary metaphysics. Roy Sorensen (2008, p. 19) notes the tension almost nothings generate for ontological monists: ‘… it feels paradoxical to say that absences exist—but no better to say that absences do not exist’..

The pressure to individuate propositions more finely than intensionally—that is, hyper-intensionally—has two distinct sources. One source is the philosophy of mind: one can believe a proposition without believing an intensionally equivalent proposition. The second source is metaphysics: there are intensionally equivalent propositions, such that one proposition is true in virtue of the other but not vice versa. I focus on what our theory of propositions should look like when it's guided by metaphysical concerns about what is true in virtue of what. In this paper I articulate and defend a metaphysical theory of the individuation of propositions, according to which two propositions are identical just in case they occupy the same nodes in a network of invirtuation relations. Invirtuation is here taken to be a primitive relation of metaphysical explanation exemplified by propositions that, in conjunction with truth, defines the notion of true in virtue of. After formulating the theory, I compare it with a view..