Anna-Sofia Maurin

In this chapter, we introduce the perennial and sometimes sprawling topic of properties, with a brief historical sketch from Ancient to Modern philosophy throughout various cultures and traditions. We argue that the importance of properties can be shown by explaining what explanatory work they can do in philosophical theorising across many areas of philosophy. The chapters in this volume do just that in their specific ways. We also outline the structure of the volume and summarise each Part, first describing the larger context of each Part and then the upshot of each chapter.

Although the subject matter of this Element is properties, do not expect in-depth introductions to the various views on properties 'on the market'. Instead, here that subject matter is treated meta-philosophically. Rather than ask and try to answer a question like do properties exist? this Element asks what reasons one might have for thinking that properties exist, what counts as solving that problems, as well as how we ought to proceed when trying to find out if properties exist. As it turns out, these questions and their answers are all intricately intertwined. Theory comparison and theory evaluation is in other words tricky. Do properties exist? After reading this Element all we can say is therefore this: that depends.

Grounding theorists insist that grounding and explanation are intimately related. This claim could be understood as saying either that grounding ‘inherits’ its properties from explanation or it could be interpreted as saying that grounding plays an important—possibly an indispensable—role in metaphysical explanation. Or both. I argue that saying that grounding ‘inherits’ its properties from explanation can only be justified if grounding is explanatory by nature, but that this view is untenable. We ought therefore to be ‘separatists’ and view grounding and explanation as distinct. As it turns out, though, once grounding has been in this sense distinguished from the explanation it backs, the view that the role grounding plays in explanation justifies its introduction ends up in serious trouble. I conclude that the role grounding plays in explanation does not justify attributing to grounding whatever nature we think it has, and it most likely does not give us any special reason to think grounding exists.

Trope theory is the view that the world consists (wholly or partly) of particular qualities, or tropes. This admittedly thin core assumption leaves plenty of room for variation. Still, most trope theorists agree that their theory is best developed as a one-category theory according to which there is nothing but tropes. Most hold that ‘sameness of property’ should be explained in terms of resembling tropes. And most hold that concrete particulars are made up from tropes in compresence (for an overview, including an introduction to some alternative versions of the view, cf. Maurin, 2014). D. M. Armstrong disagrees. He thinks the world is a world of immanent universals, the thin particulars in which those universals are instantiated, and the states of affairs that—thereby—exist. He holds that ‘sameness of property’ should be explained in terms of numerically identical universals or—if the resembling things are the universals themselves—in terms of partially identical universals. And he believes that concrete particulars are made up from ‘thin particulars’ in which a (sufficient) number of universals are instantiated. In spite of their disagreements, proponents of tropes owe Armstrong a debt of gratitude. First, for being one of the theory’s earliest, most serious, and—not least—most prominent, critics (Armstrong for the first time considers, and rejects, what he then labels ‘particularism’, in his 1978a). But also for being one of the theory’s most ardent champions. Already in his 1989a, Armstrong regrets his 1978-rejection of the view. Equivalence classes of exactly resembling tropes, he now admits, for most purposes “serve as an excellent substitute for universals” (Armstrong 1989a, 122). But then why isn’t Armstrong a trope theorist? In this paper, Armstrong’s main reasons for rejecting the trope view are critically scrutinized. All of them, it is maintained, fail to convince. If this argument is accepted, Armstrong seems to have no—or, at least, no good—reason for not accepting the existence of tropes. But, then, ought Armstrong to have been a trope theorist? If the ‘best’ version of the trope view turns out to be ontologically more parsimonious than Armstrong’s own theory of universals, then, yes. That there is a version of the trope view, a version that is not (or, at least not seriously) considered by Armstrong, that is ontologically more parsimonious than the universals view, is argued in the next section. Why none of Armstrong’s reasons for preferring universals to tropes manage to convince, is explained in the section after that. First, however, and in order to avoid a common misunderstanding of the trope view and, as a consequence, of why one ought to reject it, a few more words about the core-difference between tropes and universals, and about how this difference matters (as well as does not matter) to what—and how well—these theories explain.

The revisionary metaphysician seemingly faces a seriously unfortunate dilemma where she is forced to choose between the Scylla of too little regimentation and the Charbydes of too much. Many take this to be an impossible dilemma, and regard it as a reductio against the revisionary framework itself. In this paper, I argue that the dilemma is not necessarily impossible. To be justified, ontological theorising must be regimented just enough. To escape the dilemma, therefore, the revisionary metaphysician must, to be able to answer the question: Why should one hold that the world is a world of tropes? first answer another question: Can revisionary theorising be regimented just enough? I will address both these questions in the order here indicated. I will suggest that the now popular truthmaker theory might, if added to a revisionary framework, offer the resources necessary to obtain just the right amount of regimentation for its revisionary ontological conclusions to be justified. The world is a world of tropes if (minimally) tropes can fulfil their truthmaking function. That tropes can fulfil their truthmaking function only tells us that the world could be a world of tropes, it does not tell us why we should prefer a theory of tropes as truthmakers to a theory of, say, states of affairs, however. I therefore end the paper with a discussion of the limits of theory comparison in revisionary ontology.

In this paper I argue that the infinite regress of resemblance is vicious in the guise it is given by Russell but that it is virtuous if generated in a (contemporary) trope theoretical framework. To explain why this is so I investigate the infinite regress argument. I find that there is but one interesting and substantial way in which the distinction between vicious and virtuous regresses can be understood: The Dependence Understanding. I argue, furthermore, that to be able to decide whether an infinite regress exhibits a dependence pattern of a vicious or a virtuous kind, facts about the theoretical context in which it is generated become essential. It is precisely because of differences in context that he Russellian resemblance regress is vicious whereas its trope theoretical counterpart is not.

This paper investigates the One over Many, first as it was first introduced by Plato. Here, it is argued, the One over Many can be understood in at least two senses, both different from, but in a sense included in, the sense in which the One-over-Many is regarded as an argument for the existence of universals. In both of these senses, it is argued, it is possible to accept the One-over-Many while denying the existence of universals.This established, I examine the argument from the One-over-Many as given within the framework of Armstrong’s theory of universals. Within this framework there is another thesis of great import, that of scientific realism. I will try to show that there exists a problematic tension, if not an outright contradiction, between this thesis and that of the argument from the One-over-Many. It seems that, as soon as you accept a scientific realism, the support provided by the argument from the One-over-Many dissolves, or, vice versa, if you claim support from the argument the results of your scientific realism seem to be contradicted. I will argue that the way to resolve this tension is to give up the argument from the One-over-Many. In particular, this will results in a weakening of Armstrong’s case for the existence of universals. In general, discussing the argument from the One-over-Many brings to the fore a feature common to all senses given to the One-over-Many, and thereby a feature affecting all theories of properties (since all theories of properties in one sense or another refer on the One-over-Many).