Property Nominalism

According to Satosi Watanabe's "theorem of the ugly duckling", the number of predicates satisfied by any two different particulars is a constant, which does not depend on the choice of the two particulars. If the number of predicates satisfied by two particulars is their number of properties in common, and the degree of resemblance between two particulars is a function of their number of properties in common, then it follows that the degree of resemblance between any two different particulars is (...) a constant, which does not depend on the choice of the two particulars either. Avoiding this absurd conclusion requires questioning assumptions involving infinity in the proof or interpretation of the theorem, adopting a sparse conception of properties according to which not every predicate corresponds to a property, or denying that degree of resemblance is a function of number of properties in common. After arguing against the first two options, this paper argues for a version of the third which analyses degrees of resemblance in terms of degrees of naturalness of common properties. In the course of doing so, it presents a novel account of natural properties. (shrink)

According to Varzi's nominalism properties are typical examples of ontological hallucinations. In this brief paper I'll focus on an interesting argument that Varzi puts forward against the Realists’ tenet according to which predicates have properties as ontological correlates. I’ll argue that even if Varzi's argument is not convincing, the metalinguistic nominalism he espouses has sufficient resources to meet the realists' challenge concerning the phenomenon of predication. Furthermore, I'll make some methodological remarks about the relationship holding between the «dot quote» analysis (...) and two main conceptions of ontology, i.e. the hermeneutic and the revisionist one. (shrink)

According to Jody Azzouni’s “deflationary nominalism,” the singular terms of mathematical language applied or unapplied to science refer to nothing at all. What does exist, Azzouni claims, must satisfy the quaternary condition he calls “thick epistemic access”. In this paper I argue that TEA surreptitiously reifies some mathematical entities. The mathematical entity that I take TEA to reify is the Fourier harmonic, an infinite-duration monochromatic sinusoid applied throughout engineering and physics. I defend the reality of the harmonic, in Azzouni’s account, (...) not by satisfying all four TEA conditions with respect to it, but by showing that the harmonic renders satisfiable the TEA condition called “grounding,” specifically in Azzouni’s example of a human visually perceiving a vase. The harmonic thereby plays what Azzouni calls an “epistemic role,” and merits inclusion in the deflationary nominalist ontology. Against the “coding” objection of Azzouni and Bueno, which would nominalize the harmonic to nonexistent status, I reply that in the context of grounding, the coding objection begs the question. (shrink)

In this paper, I argue that all expressions for abstract objects are meaningless. My argument closely follows David Lewis’ argument against the intelligibility of certain theories of possible worlds, but modifies it in order to yield a general conclusion about language pertaining to abstract objects. If my Lewisian argument is sound, not only can we not know that abstract objects exist, we cannot even refer to or think about them. However, while the Lewisian argument strongly motivates nominalism, it also undermines (...) certain nominalist theories. (shrink)

According to Satosi Watanabe’s “theorem of the ugly duckling”, the number of predicates satisfied by any two different particulars is a constant, which does not depend on the choice of the two particulars. If the number of predicates satisfied by two particulars is their number of properties in common, and the degree of resemblance between two particulars is a function of their number of properties in common, then it follows that the degree of resemblance between any two different particulars is (...) also constant, which is absurd. Avoiding this absurd conclusion requires questioning assumptions about infinity in the proof or interpretation of the theorem, adopting a sparse conception of properties, or denying degree of resemblance is a function of number of properties in common. After arguing against both the first two options, this paper argues for a version of the third which analyses degree of resemblance as a function of properties in common, but weighted by their degree of naturalness or importance. (shrink)

Tropes is a systematic investigation into the metaphysics of properties, aiming to motivate and defend trope theory, and more specifically Natural Class Trope Nominalism (NCTN). Ehring’s book treats an impressive span of relevant positions, considerations, debates and objections with charity and clarity; it’s also a real page-turner, at least if one has (as I do) a taste for analytic twists and turns.

When the meta-philosophies of Nominalism and Realism are compared, it is often said that Nominalism is motivated by a methodology of ontological economy, while Realism would be motivated by an appeal to Common Sense. In this paper, I argue that this association is misguided. After briefly comparing the meta-philosophy of Common Sense and the meta-philosophy of economy, I show that the core motivation in favour of Realism relies in fact in a principle of economy which violates the methodology of Common (...) Sense. I conclude that Common Sense philosophers should endorse Nominalism. (shrink)

The idea of “material plenitude” has been gaining traction in recent discussions of the metaphysics of material objects. My main goal here is to show that this idea may have important dialectical implications for the metaphysics of properties – more specifically, that it provides nominalists with new resources in their attempt to reject an ontology of universals. I will recapitulate one of the main arguments against nominalism – due to David Armstrong – and show how plenitude helps the nominalist overcome (...) the argument. (shrink)

In this paper I take second order-quantification to be a sui generis form of quantification, irreducible to first-order quantification, and I examine the implications of doing so for the debate over the existence of properties. Nicholas K. Jones has argued that adding sui generis second-order quantification to our ideology is enough to establish that properties exist. I argue that Jones does not settle the question of whether there are properties because—like other ontological questions—it is first-order. Then I examine three of (...) the main arguments for the existence of properties. I conclude that sui generis second-order quantification defeats the “one over many” argument and that, coupled with second-order predication, it also defeats the reference and quantification arguments. (shrink)

In this paper, I examine Peter Schulte’s “Grounding Nominalism” (Schulte, 2018), understood as the claim that first-order properties and relations are grounded in the concrete particulars which instantiate them. While Schulte offered reasons to think that this view is consistent, along with answers to a number of objections, a more straightforward argument for GN is still needed. I take on this task here, by discussing and defending what I call the “argument from abstraction”. The latter, I suggest, offers more grounds (...) to Grounding Nominalism. (shrink)

Philosophy and Phenomenological Research, EarlyView.

In this paper, I argue that for the purposes of ordinary reasoning, sentences about properties of concrete objects can be replaced with sentences concerning how things in our universe would be related to inscriptions were there a pluriverse. Speaking loosely, pluriverses are composites of universes that collectively realize every way a universe could possibly be. As such, pluriverses exhaust all possible meanings that inscriptions could take. Moreover, because universes necessarily do not influence one another, our universe would not be any (...) different intrinsically if there were a pluriverse. These two facts enable anti-realists about abstract objects to replace, e.g. talk of anatomical features with talk of the inscriptions concerning anatomical structure that would exist were there a pluriverse. The availability of such replacements enables anti-realists to carry out essential ordinary reasoning without referring to properties, thereby making room for a consistent anti-realist worldview. The inscriptions of the would-be pluriverse are so numerous and varied that sentences about them can play the roles in ordinary reasoning served by simple sentences about properties of concrete objects. (shrink)

2020 update of the entry "Properties".

In this paper I argue that the analysis of natural properties as convex subsets of a metric space in which the distances are degrees of dissimilarity is incompatible with both the definition of degree of dissimilarity as number of natural properties not in common and the definition of degree of dissimilarity as proportion of natural properties not in common, since in combination with either of these definitions it entails that every property is a natural property, which is absurd. I suggest (...) it follows that we should think of the convex class analysis of natural properties as a variety of resemblance nominalism. (shrink)

‘Nominalism’ refers to a family of views about what there is. The objects we are familiar with (e.g. hands, laptops, cookies, and trees) can be characterized as concrete and particular. Nominalists agree that there are such things. But one group of nominalists denies that anything is non-particular and another group denies that anything is non-concrete. These two sorts of nominalism, referred to as ‘nominalism about universals’ and ‘nominalism about abstract objects’, have common motivations in contemporary philosophy.

A couple of doubts are raised concerning Hofweber’s internalist view of our talk about properties. The first doubt relates to the argument used in support of the internalist view of talk about properties: I suspect that one of the premises of the argument is not granted and therefore that the argument’s conclusion is undermined. My second doubt concerns a claimed consequence of Hofweber’s internalist view, i.e. conceptual idealism. It seems to me that conceptual idealism is incompatible with the internalist view (...) of talk about properties. (shrink)

Repeatable artworks, such as novels and musical works, have often been construed as universals whose instances are particular printings or performances. In Art and Art-Attempts, Christy Mag Uidhir offers a nominalist account of repeatable artworks, eschewing talk of universals. Mag Uidhir argues that all artworks are concrete, and artworks that we regard as repeatable are simply unified by a relevant similarity relation: we use the name Beloved to refer to two concrete printed novels because they are relevantly similar to each (...) other and to certain other printings that are the product of Toni Morrison’s art-attempt. I discuss two potential difficulties for Mag Uidhir’s notion of relevant similarity: a difficulty related to appropriation, and a difficulty related to the fact that musical performances are often the product of distinct art-attempts by the composer and by the performer. I suggest that both difficulties could be addressed by enriching the notion of relevant similarity by appeal to the artist’s specification of which similarities are essential for two works to count as relevantly similar. (shrink)

I want to motivate an account of what it is for an object to have a property, which may as well be called a deflationary view about properties. Such a view follows from a conception of predication I ground in the work of Donald Davidson, some of which remains unpublished. I claim that if we take seriously Davidson’s account of predication, by maintaining that sentences are the primary linguistic unit, we can define properties in terms of predicates. The aim of (...) this paper is twofold. First, I argue that this account is present in Davidson’s systematic treatment of the problem of predication. Second, I claim that this account is serviceable and economical, as it can accommodate a wide scope of properties and abstract objects without appealing to entities such as truthmakers or joints in nature. (shrink)

Think of a number, any number, or properties like fragility and humanity. These and other abstract entities are radically different from concrete entities like electrons and elbows. While concrete entities are located in space and time, have causes and effects, and are known through empirical means, abstract entities like meanings and possibilities are remarkably different. They seem to be immutable and imperceptible and to exist "outside" of space and time. This book provides a comprehensive critical assessment of the problems raised (...) by abstract entities and the debates about existence, truth, and knowledge that surround them. It sets out the key issues that inform the metaphysical disagreement between platonists who accept abstract entities and nominalists who deny abstract entities exist. Beginning with the essentials of the platonist–nominalist debate, it explores the key arguments and issues informing the contemporary debate over abstract reality: arguments for platonism and their connections to semantics, science, and metaphysical explanation the abstract–concrete distinction and views about the nature of abstract reality epistemological puzzles surrounding our knowledge of mathematical entities and other abstract entities. arguments for nominalism premised upon concerns about paradox, parsimony, infinite regresses, underdetermination, and causal isolation nominalist options that seek to dispense with abstract entities. Including chapter summaries, annotated further reading, and a glossary, _Entities_ is essential reading for anyone seeking a clear and authoritative introduction to the problems raised by abstract entities. (shrink)

These comments, which include informal offhand asides made during delivery, derive from an ‘Author Meets Critics’ session on Robert Brandom’s book, From Empiricism to Expressivism: Brandom Reads Sellars’ (2015), held at Kent State University and published subsequently in Sellars and Contemporary Philosophy (2017).

On 7 January 1903, Brentano wrote to Anton Marty that by now he thinks it to be “impossible that factuality (Tatsächlichkeit) should belong to an irreale except in dependence on something real” as “concomitantly” occurring (Brentano 1966a: 106). For instance, when someone is thinking of a reale, or thing (Ding) A, say the sun or a centaur, there exists concomitantly to the A-thinker (who is a thing) also an irreale, viz., a thought-of-thing (Gedankending) which is the thought-of-A (Brentano 1930: 31, (...) 48). Thus, when writing this letter Brentano still held the view that the realm of beings comprises besides entia realia or things also entia irrealia. But then on 10 September 1903 he tells Marty that now he “is making a new attempt to understand all entia rationis [i.e. irrealia] as fictions, viz., to deny that they are” (1966a: 108). So it was in the time between these two letters that there occurred what has been dubbed the “reistic turn” in Brentano’s ontological thinking. In the following, we will, first, give a rough outline of the scope of the entia realia; secondly, what we may call Brentano’s master argument for reism will be discussed; and thirdly, we will attempt to sketch a way out Brentano might have taken in the face of the difficulties inherent in his brand of reism. (shrink)

A reflection on the merits of an a priori poeto-epistemology in relation to tacitly held assumptions about the a fortiori validity of computational logic to transcend the limits of contradiction and infinite regression and establish a valid ontology.

Modes-of-being figure centrally in Heidegger's masterwork Being and Time. Testimony to this is Heidegger's characterisation of two of his most celebrated enquiries—the Existential analytic and the Zeug analysis—as investigations into the respective modes-of-being of the entities concerned. Yet despite the importance of this concept, commentators disagree widely about what a mode-of-being is. In this paper, I systematically outline and defend a novel and exegetically grounded interpretation of this concept. Strongly opposed to Kantian readings, such as those advocated by Taylor Carman (...) and Cristina Lafont, I interpret a mode-of-being as a universal that defines a district —that is, a natural class of entities that ought to be conceptualised in a special way. As such, every mode-of-being plays an important metaphysical and epistemic role: serving both to unify a natural class of a high degree of generality and as the interpretandum of an act yielding the basic-concepts pertaining to the entities therein. In explicating and arguing for this interpretation, I attribute a characteristically Aristotelian philosophical position to the early Heidegger, encompassing both metaphysical and epistemological realism and a conceptualist theory of universals. (shrink)

Non-Relational Realism is a popular solution to the Bradleyan regress of facts or truths. It denies that there is a relational universal of exemplification; for an object a to exemplify a universal F-ness, on this view, is not for a relation to subsist between a and F-ness. An influential objection to Non-Relational Realism is that it is unacceptably obscure. The author argues that Non-Relational Realism can be understood as a selective application of satisfaction semantics to predicates like ‘exemplify’, and that (...) so understood, it is not obscure. This kind of selective use of satisfaction semantics may be feasible in other contexts as a means of making theories more parsimonious. (shrink)

In this paper I explore Michael Loux’s important distinction between “tropes” and “tropers”. First, I argue that the distinction throws into relief an ambiguity and discrepancy in the literature, revealing two fundamentally different versions of trope theory. Second, I argue that the distinction brings into focus unique challenges facing each of the resulting trope theories, thus calling into question an alleged advantage of trope theory—that by uniquely occupying the middle ground between its rivals, trope theory is able to recover and (...) preserve the insights of these views. Ultimately, the distinction suggests that trope theory is a divided house. (shrink)

Trope theory is an increasingly prominent contender in contemporary debates about the existence and nature of properties. But it suffers from ambiguity concerning the nature of a trope. Disambiguation reveals two fundamentally different concepts of a trope: modifier tropes and module tropes. These types of tropes are unequally suited for metaphysical work. Modifier tropes have advantages concerning powers, relations, and fundamental determinables, whereas module tropes have advantages concerning perception, causation, character-grounding, and the ontology of substance. Thus, the choice between modifier (...) tropes and module tropes is significant and divides the advantages of trope theory simpliciter. In addition, each resulting trope theory is unstable: modifier trope theory threatens to collapse into realism and module trope theory threatens to collapse into austere nominalism. This invites reflection on the stability of trope theory in general. (shrink)

This chapter is concerned with the coextension difficulty for nominalist theories of properties that reject tropes alongside universals. After carefully explaining the coextension difficulty and describing the theories it targets, the chapter describes different solutions to the difficulty. These solutions differ with respect to how much involved they are into a dualist approach to coextension. A dualist approach to a case of coextension consists in agreeing with the realist that the relevant ascriptions of properties are numerically distinct. A monist approach (...) to a case of coextension consists in contending that the relevant ascriptions of properties are identical. In this chapter, I defend a monist approach to cases of coextension that appeals to a counterpart theory for propositions. (shrink)

Nominalism, which has its origins in the Middle Ages and continues into the Twenty-First Century, is the doctrine that there are no universals. This book is unique in bringing together essays on the history of nominalism and essays that present a systematic discussion of nominalism. It introduces the reader to the distinction between particulars and universals, to the difficulties posed by this distinction, and to the main motivations for the rejection of universals. It also describes the main varieties of nominalism (...) about properties and provides tools to understand how they developed in the history of Western Philosophy. All essays are new and are written by experts on the topic, and they advance the discussion about nominalism to a new level. (shrink)

The ontological theory of the later Franz Brentano is often referred to as ‘reism.’ But what exactly is reism, and how is it related to modern-day nominalism? In this paper, I offer an interpretation of Brentano’s reism as a specific variety of nominalism. This variety, although motivated by distinctly modern concerns about truthmakers, adopts a strategy for providing such truthmakers that is completely foreign to modern nominalism. The strategy rests on proliferation of coincident concrete particulars. For example, ‘Socrates is wise’ (...) and ‘Socrates is Greek’ are made true, respectively, by wise-Socrates and Greek-Socrates, where wise-Socrates and Greek-Socrates are two coinciding but numerically distinct concrete particulars (which also coincide with Socrates). (shrink)

The purpose of this paper is to defend the so-called Ostrich Nominalism against the influential criticism that has been put forward by David M. Armstrong. First, I reconstruct Armstrong’s “One over Many” argument for universals (§§ 1-2), reviewing his main reasons for rejecting the foremost kinds of nominalism (§ 3). I then argue that Ostrich Nominalism has been underrated by Armstrong (§ 4) and that, consequently, his strategy for dealing with it results in misleading and elusive conclusions. I conclude that (...) Ostrich Nominalism represents an arduous challenge to Armstrong’s Realism in that it compels him either to give up his sparse Realism, or to acknowledge that all the solutions to the problem of universals are utterly meaningless (§§ 5-6). (shrink)

My aim in this paper is to offer a Hegelian critique of Quine’s predicate nominalism. I argue that at the core of Hegel’s idealism is not a supernaturalist spirit monism, but a realism about universals, and that while this may contrast to the nominalist naturalism of Quine, Hegel’s position can still be defended over that nominalism in naturalistic terms. I focus on the contrast between Hegel’s and Quine’s respective views on universals, which Quine takes to be definitive of philosophical naturalism. (...) I argue that there is no good reason to think Quine is right to make this nominalism definitive of naturalism in this way – where in fact Hegel offers a reasonably compelling case that science itself requires some commitment to realism about universals, kinds, etc. Furthermore, even if Hegel is wrong about that, at least his case for realism is still a naturalistic one, as it is based on his views on concrete universality, which is an innovative form of in rebus realism about unive.. (shrink)

This paper is the first trope-theoretical reply to E. J. Lowe’s serious dilemma against trope nominalism in print. The first horn of this dilemma is that if tropes are identity dependent on substances, a vicious circularity threatens trope theories because they must admit that substances are identity dependent on their constituent tropes. According to the second horn, if the trope theorist claims that tropes are identity independent, she faces two insurmountable difficulties. (1) It is hard to understand the ontological dependence (...) of tropes on substances. (2) The identity-conditions of tropes cannot be determinate, which threatens the determination of the identity-conditions of substances. Our reply to the first horn of Lowe’s dilemma is to deny the identity dependence of tropes. Yet we can avoid the second horn because our theory can explain the ontological dependence of tropes on substances and the fully-determined identity-conditions of both tropes and substances. (shrink)

G. F. Stout is famous as an early twentieth century proselyte for abstract particulars, or tropes as they are now often called. He advanced his version of trope theory to avoid the excesses of nominalism on the one hand and realism on the other. But his arguments for tropes have been widely misconceived as metaphysical, e.g. by Armstrong. In this paper, I argue that Stout’s fundamental arguments for tropes were ideological and epistemological rather than metaphysical. He moulded his scheme to (...) fit what is actually given to us in perception, arguing that our epistemic practices would break down in an environment where only universals were given to us. (shrink)

At the beginning of his Isagoge, Porphyry establishes a famous set of questions concerning genera and species, which is the origin of the medieval “Quarrel of universals”. But this text gave rise to difficulty for interpreters: does Porphyry, when elaborating this set of questions, refer to historical positions or does he offer these alternatives in a lingua franca, which would be neutral from a doctrinal point of view? This article focusing on the first of the three alternatives raised by Porphyry (...) aims to show that replacing Porphyry's text in its historical and philosophical background can shed light on the meaning of this alternative. During the Post-Hellenistic period (100 B.C.–200 A.D.), the different schools discussed the ontological status of universals. Therefore, not only does Porphyry use the terminology shaped by former philosophers, but he also alludes to the debate between Stoics, Middle Platonists and Peripatetics. Alexander of Aphrodisias constitutes a precious help to reconstruct this dispute, which this article tries to depict. (shrink)

The article considers, in a historical setting, the links between varieties of nominalism—the extreme nominalism of the Quine-Goodman variety and the trope nominalism current today—and types of idealism. In so doing arguments of various twentieth century figures, including Husserl, Bradley, Russell, and Sartre, as well as a contemporary attack on relations by Peter Simons are critically examined. The paper seeks to link the rejection of realism about universals with the rejection of a mind-independent “world”—in short, linking nominalism with idealism.

This paper is intended primarily as a reference tool for participants in the debate between realism and nominalism concerning universals. It provides an exhaustive catalogue of the basic analyses of an entity being charactered that nominalists can employ in both a constituent and nonconstituent ontology.

Ingvar Johansson has argued that there are not only determinate universals, but also determinable ones. I here argue that this view is misguided by reviving a line of argument to the following effect: what makes determinates falling under a same determinable similar cannot be distinct from what makes them different. If true, some similarities — imperfect similarities between simple determinate properties — are not grounded in any kind of property-sharing. I suggest that determinables are better understood as maximal disjunctions of (...) brutely and imperfectly similar determinates. Such brute similarities have been thought to clash with realism about universals. I argue that this worry stems from the mistaken assumption that perfect and imperfect similarities are relations of a same kind. If exact and inexact resemblances are distinct and heterogeneous explananda, the realist about universals might explain the first thanks to property-sharing, while happily leaving imperfect similarities between properties unexplained. (shrink)

This book pursues the question of how and whether natural language allows for reference to abstract objects in a fully systematic way. By making full use of contemporary linguistic semantics, it presents a much greater range of linguistic generalizations than has previously been taken into consideration in philosophical discussions, and it argues for an ontological picture is very different from that generally taken for granted by philosophers and semanticists alike. Reference to abstract objects such as properties, numbers, propositions, and degrees (...) is considerably more marginal than generally held. (shrink)

Essa comunicação possui dois objetivos. Em primeiro lugar, pretendo esboçar as diferentes alternativas teóricas contemporâneas que procuram responder ao conhecido “ problema dos universais”. Para isso, apresentamos os nominalismos de predicados, classes, semelhanças e a teoria de tropos. Em segundo lugar, pretendo mostrar, inspirado no trabalho de David Lewis, como o nominalismo de classes, a noção de propriedade natural e uma teoria de mundos possíveis prometem resolver o problema em questão.

The resemblance nominalist says that the truthmaker of 〈Socrates is white〉 ultimately involves only concrete particulars that resemble each other. Furthermore he also says that Socrates and Plato are the truthmakers of 〈Socrates resembles Plato〉, and Socrates and Aristotle those of 〈Socrates resembles Aristotle〉. But this, combined with a principle about the truthmakers of conjunctions, leads to the apparently implausible conclusion that 〈Socrates resembles Plato and Socrates resembles Aristotle〉 and 〈Socrates resembles Plato and Plato resembles Aristotle〉 have the same truthmakers, (...) namely, Socrates, Plato and Aristotle. I shall argue that the resemblance nominalist can say that those conjunctions have the same truthmakers but these truthmakers make them true in different ways. I shall also use this view to account for the truthmakers of propositions like 〈Socrates is white〉, and respond to previous objections by Cian Dorr and Jessica Wilson. (shrink)

The causal nominalist theory of properties appears at first glance to offer a novel nominalist approach and one that can provide an illuminating response to the one over many problem. I argue, however, that on closer inspection causal ‘nominalism’ collapses into either a version of realism or a mere variant of one of the traditional nominalist approaches. In the case of Whittle’s specific brand of causal nominalism, I suggest it is best thought of as a version of what Armstrong calls (...) ‘ostrich’ nominalism, a view which ultimately refuses to acknowledge the one over many problem rather than provide a solution to it. (shrink)

Abstract In this article, a critical assessment is carried out of the two available forms of nominalism with respect to the ontological constitution of material objects: resemblance nominalism and trope theory. It is argued that these two nominalistic ontologies naturally converge towards each other when the problems they have to face are identified and plausible solutions to these problems are sought. This suggests a synthesis between the two perspectives along lines first proposed by Sellars, whereby, at least at the level (...) of the simplest, truly fundamental constituents of reality, every particular is literally both an object and a particularized property (or, alternatively put, the distinction between objects and properties dissolves). Some potential problems and open issues for such an approach to nominalism in ontology are identified and discussed, with particular emphasis on the sort of fundamentalism that seems to crucially underlie the proposed ontology. Content Type Journal Article Pages 1-14 DOI 10.1007/s12136-011-0145-x Authors Matteo Morganti, Department of Philosophy, University of Rome ‘RomaTRE’, Via Ostiense, 234, 00144 Rome, Italy Journal Acta Analytica Online ISSN 1874-6349 Print ISSN 0353-5150. (shrink)

According to genuine modal realism, some things (including numbers and properties) lack distinct counterparts in different worlds. So how can they possess any of their properties contingently? Egan (2004) argues that to explain such accidental property possession, the genuine modal realist must depart from Lewis and identify properties with functions, rather than with sets of possibilia. We disagree. The genuine modal realist already has the resources to handle Egan's proposed counterexamples. As we show, she does not need to amend her (...) analysis of possibility statements, or her theory of what properties are. (shrink)

The paper aims to develop a resemblance theory of properties that technically improves on past versions. The theory is based on a comparative resemblance predicate. In combination with other resources, it solves the various technical problems besetting resemblance nominalism. The paper’s second main aim is to indicate that previously proposed resemblance theories that solve the technical problems, including the comparative theory, are nominalistically unacceptable and have controversial philosophical commitments.

Ostrich nominalists often cite Quine’s criterion of ontological commitment in order to claim that their view is more parsimonious than rival positions in ontology such as realism. We show that Quine’s criterion, properly understood, does not support this claim. Indeed, we show that ostrich nominalism has a far more profligate ontology than realism.