Much of the debate about identity in recent decades has been about personal identity, and specifically about personal identity over time, but identity generally, and the identity of things of other kinds, have also attracted attention. Various interrelated problems have been at the centre of discussion, but it is fair to say that recent work has focussed particularly on the following areas: the notion of a criterion of identity; the correct analysis of identity over time, and, in particular, the disagreement (...) between advocates of perdurance and advocates of endurance as analyses of identity over time; the notion of identity across possible worlds and the question of its relevance to the correct analysis of de re modal discourse; the notion of contingent identity; the question of whether the identity relation is, or is similar to, the composition relation; and the notion of vague identity. A radical position, advocated by Peter Geach, is that these debates, as usually conducted, are void for lack of a subject matter: the notion of absolute identity they presuppose has no application; there is only relative identity. Another increasingly popular view is the one advocated by Lewis: although the debates make sense they cannot genuinely be debates about identity, since there are no philosophical problems about identity. Identity is an utterly unproblematic notion. What there are, are genuine problems which can be stated using the language of identity. But since these can be restated without the language of identity they are not problems about identity. (For example, it is a puzzle, an aspect of the so-called “problem of personal identity”, whether the same person can have different bodies at different times. But this is just the puzzle whether a person can have different bodies at different times. So since it can be stated without the language of personal “identity”, it is not a problem about identity, but about personhood.) This article provides an overview of the topics indicated above, some assessment of the debates and suggestions for further reading. (shrink)

I defend (metaphysical) ground against recent, unanswered objections aiming to dismiss it from serious philosophical inquiry. Interest in ground stems from its role in the venerable metaphysical project of identifying which facts hold in virtue of others. Recent work on ground focuses on regimenting it. But many reject ground itself, seeing regimentation as yet another misguided attempt to regiment a bad idea (like phlogiston or astrology). I defend ground directly against objections that it is confused, incoherent, or fruitless. This vindicates (...) the very attempt to regiment ground. It also refocuses our attention on the genuine open questions about ground and away from the distracting, unpersuasive reasons for dismissing them. (shrink)

In this paper, I argue for a new way of characterizing ontological emergence. I appeal to recent discussions in meta-ontology regarding fundamentality and dependence, and show how emergence can be simply and straightforwardly characterized using these notions. I then argue that many of the standard problems for emergence do not apply to this account: given a clearly specified meta-ontological background, emergence becomes much easier to explicate. If my arguments are successful, they show both a helpful way of thinking about emergence (...) and the potential utility of discussions in meta-ontology when applied to first-order metaphysics. (shrink)

In this chapter, I examine Lewis's ideas about ontological innocence, ontological commitment and double-counting, in his discussion of composition as identity in Parts of Classes. I attempt to understand these primarily as epistemic or methodological claims: how far can we get down this route without adopting radical metaphysical theses about composition as identity?

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)

This essay is a study of ontological commitment, focused on the special case of arithmetical discourse. It tries to get clear about what would be involved in a defense of the claim that arithmetical assertions are ontologically innocent and about why ontological innocence matters. The essay proceeds by questioning traditional assumptions about the connection between the objects that are used to specify the truth-conditions of a sentence, on the one hand, and the objects whose existence is required in order for (...) the truth-conditions thereby specified to be satisfied, on the other. This allows one to set forth an assignment of truth-conditions to arithmetical sentences whereby nothing is required of the world in order for the truth-conditions of a truth of pure arithmetic to be satisfied. The essay then argues that such an assignment can be used to account for the a priori knowability of certain arithmetical truths. (shrink)

The past decade and a half has seen an absolute explosion of literature discussing the structure of reality. One particular focus here has been on the fundamental. However, while there has been extensive discussion, numerous fundamental questions about fundamentality have not been touched upon. In this chapter, I focus on one such lacuna about the modal strength of fundamentality. More specifically, I am interested in exploring the contingent fundamentality thesis - that is, the idea that the fundamentalia are only contingently (...) fundamental (or, in property-terms, that the property of being fundamental is not a (weakly) necessary property). And while I think this thesis is plausible – indeed, I show here that it lurks in the unexamined shadows/assumptions of some fairly prominent positions – as far as I can tell, nothing has been said either for or against it. Here, I hope to fix this by giving the thesis a proper airing. In this way, this chapter represents a first-pass at exploring not only the modal status of fundamentality, but also offers a starting point for examining broader issues about the relationship between fundamentality and modality. (shrink)

Paraphrase is ubiquitous in philosophy, especially in discussions about ontological commitment. But should it be? Paraphrases are seldom accompanied by evidence that would convince, say, a linguist that the paraphrase and the paraphrased sentence have the same meaning. Indeed, from the perspective of linguistics, many paraphrases would seem to be nothing but bad jokes. For this reason, many philosophers have become deeply suspicious about paraphrase. I ague in this paper that this worry is misguided--that successful paraphrases do not need to (...) preserve semantic content, and that the way that paraphrase has been used in Quinean meta-ontology, and philosophical inquiry more generally, corresponds, at least roughly, to the way it should be used. (shrink)

There are advantages to thrift over honest toil. If we can make do without numbers we avoid challenging questions over the metaphysics and epistemology of such entities; and we have a good idea, I think, of what a nominalistic metaphysics should look like. But minimizing ontology brings its own problems; for it seems to lead to error theory— saying that large swathes of common-sense and best science are false. Should recherche philosophical arguments really convince us to give all this up? (...) Such Moorean considerations are explicitly part of the motivation for the recent resurgence of structured metaphysics, which allow a minimal (perhaps nominalistic) fundamental ontology, while avoiding error-theory by adopting a permissive stance towards ontology that can be argued to be grounded in the fundamental. This paper evaluates the Moorean arguments, identifying key epistemological assumptions. On the assumption that Moorean arguments can be used to rule out error-theory, I examine deflationary ‘representationalist’ rivals to the structured metaphysics reaction. Quinean paraphrase, fictionalist claims about syntax and semantics are considered and criticized. In the final section, a ‘direct’ deflationary strategy is outlined and the theoretical obligations that it faces are articulated. The position advocated may have us talking a lot like a friend of structured metaphysics—but with a very different conception of what we’re up to. (shrink)

This paper explores the view that the vocabulary of metaphysical fundamentality is opaque, using Sider’s theory of structure as a motivating case study throughout. Two conceptions of fundamentality are distinguished, only one of which can explain why the vocabulary of fundamentality is opaque.

This paper extracts some of the main theses in the philosophy of mathematics from my book, The Construction of Logical Space. I show that there are important limits to the availability of nominalistic paraphrase functions for mathematical languages, and suggest a way around the problem by developing a method for specifying nominalistic contents without corresponding nominalistic paraphrases. Although much of the material in this paper is drawn from the book — and from an earlier paper — I hope the present (...) discussion will earn its keep by motivating the ideas in a new way, and by suggesting further applications. (shrink)

This paper presents an account of what it is for a property or relation (or ‘attribute’ for short) to be logically simple. Based on this account, it is shown, among other things, that the logically simple attributes are in at least one important way sparse. This in turn lends support to the view that the concept of a logically simple attribute can be regarded as a promising substitute for Lewis’s concept of a perfectly natural attribute. At least in part, the (...) advantage of using the former concept lies in the fact that it is amenable to analysis, where that analysis—i.e., the account put forward in this paper—requires the adoption neither of an Armstrongian theory of universals nor of a primitive notion of naturalness, fundamentality, or grounding. (shrink)

Some views articulate reality's hierarchical structure using relations from the fundamental to representations of reality. Other views instead use relations from the fundamental to constituents of non-representational reality. This paper argues against the first kind of view.

It is widely assumed that if ontological disputes turn out to be verbal they ought to be dismissed. I dissociate the semantic question concerning the verbalness of ontological disputes from the pragmatic question on whether they ought to be dismissed. I argue that in the context of ontological disputes ontologists ought to be taken to communicate views with conflicting ontological commitments even if it turns out that on the correct view of semantics they fail to literally-express their disagreement. I argue, (...) that is, against dismissing ontological disputes on grounds of verbalness. This serves to discharge the ongoing debate on the verbalness of ontological disputes from the metaontological consequences typically associated with it. (shrink)

I show that a particular version of Hume's Dictum together with the falsity of Composition as Identity entails an incoherency, so either that version of Hume's Dictum is false or Composition as Identity is true. I conditionally defend the particular version of Hume's Dictum in play, and hence conditionally conclude that Composition as Identity is true. I end by suggesting an alternative way out for a persistent foe of Composition as Identity, namely mereological nihilism.

I like the view that the fundamental facts are logically simple, not complex. However, some universal generalizations and negations may appear fundamental, because they cannot be explained by logically simple facts about particulars. I explore a natural reply: those universal generalizations and negations are true because certain logically simple facts—call them —are the fundamental facts. I argue that this solution is only available given some metaphysical frameworks, some conceptions of metaphysical explanation and fundamentality. It requires a ‘fitting’ framework, according to (...) which metaphysical theories explain the aptness of representations in terms of how things are fundamentally. Fitting frameworks conceive of the fundamental facts as those that are metaphysically ‘real’; call them the ‘facts-in-reality’. Moreover, we must take as primary a plural notion of the facts-in-reality, not the singular notion of a fact-in-reality. By contrast, a metaphysics that grounds facts is incompatible with my strategy for keeping the fundamental facts logically simple. (shrink)

The notion of grounding has gained increasing acceptance among metaphysicians in recent years. In this paper, I argue that this notion can be used to formulate a very attractive version of (property) nominalism, a view that I call ‘grounding nominalism’. Simplifying somewhat, this is the view that all properties are grounded in things. I argue that this view is coherent and has a decisive advantage over competing versions of nominalism: it allows us to accept properties as real, while fully accommodating (...) nominalist intuitions. Finally, I defend grounding nominalism against several seemingly troublesome objections. (shrink)

In this paper I argue that there are some sentences whose truth makes no demands on the world, being trivially true in that their truth-conditions are trivially met. I argue that this does not amount to their truth-conditions being met necessarily: we need a non-modal understanding of the notion of the demands the truth of a sentence makes, lest we be blinded to certain conceptual possibilities. I defend the claim that the truths of pure mathematics and set theory are trivially (...) true, and hence accepting their truth brings no ontological commitment; I further defend the claim that the truths of applied mathematics and set theory do not demand the existence of numbers or sets. While the notion of a demand must not be reduced to anything modal, I nonetheless argue that sentences that are trivially true must also be necessary, lest we violate a very weak version of the principle that truth depends on the world. I further argue that all necessary truths are trivially true, lest we admit unexplained necessities. I end by showing one important consequence of this: I argue that if there are truthmakers for intrinsic predications, they must be states of affairs rather than tropes. (shrink)

In recent work, Louis deRosset (Philosophical Studies 149:73–97, 2010) has argued that priority theorists, who hold that truths about macroscopic objects can be metaphysically explained without reference to such things, cannot meet an independently motivated constraint upon good explanation. By clarifying the nature of the priority theorist’s project, I argue that deRosset’s argument fails to establish its conclusion.

In the recent literature on all things metaontological, discussion of a notorious Meinongian doctrine—the thesis that some objects have no kind of being at all—has been conspicuous by its absence. And this is despite the fact that this thesis is the central element of the noneist metaphysics of Richard Routley (1980) and Graham Priest (2005). In this paper, we therefore examine the metaontological foundations of noneism, with a view to seeing exactly how the noneist's approach to ontological inquiry differs from (...) the orthodox Quinean one. We proceed by arguing that the core anti-Quinean element in noneism has routinely been misidentified: rather than concerning Quine's thesis that to be is to be the value of a variable, the real difference is that the noneist rejects what we identify as Quine's “translate-and-deflate” methodology. In rejecting this aspect of Quinean orthodoxy, the noneist is in good company: many of those who think that questions of fundamentality should be the proper focus of ontological inquiry can be read as rejecting it too. Accordingly, we then examine the differences between the noneist's conception of ontology and that offered by the fundamentalist. We argue that these two anti-Quinean approaches differ in terms of their respective conceptions of the theoretical role associated with the notion of being. And the contrast that emerges between them is, in the end, an explanatory one. (shrink)

Two kinds of explanation might be put forward. The first goes like this: the necessary connection between the location of a whole and the location of its parts holds because the location of the whole is nothing but the collective location of its parts. The second style of explanation goes like this: the connection holds because what it is for a material whole to have something as a part, is (perhaps among other things) for the whole to contain the part.

Languages involving modalities and languages involving vagueness have each been thoroughly studied. On the other hand, virtually nothing has been said about the interaction of modality and vagueness. This paper aims to start filling that gap. Section 1 is a discussion of various possible sources of vague modality. Section 2 puts forward a model theory for a quantified language with operators for modality and vagueness. The model theory is followed by a discussion of the resulting logic. In Section 3, the (...) framework will permit us to address a puzzle raised by Elizabeth Barnes and Robert Williams. (shrink)

Referential uses of quantified determiner phrases other than descriptions have not been extensively considered. In this paper they are considered in some detail, and related to referential uses of descriptions. The first aim is to develop the observation that, contrary to the currently received view that it is only for descriptions that referential uses are frequent and standard, arising in run-of-the-mill contextual scenarios, this is in fact the case for all usual kinds of quantifier phrases. A second aim is to (...) offer a preliminary discussion of how these data about quantifier phrases other than descriptions constrain the feasible extensions of theories of descriptions to cover the referential uses of quantifier phrases in general. I argue that the data don’t support a semantic explanation of referential uses of descriptions, and in fact suggest problems for several semantic theories of referential uses of quantifier phrases in general. I also argue that pragmatic theories of referential uses of quantifier phrases in general might plausibly explain standard referential uses as involving a genus of particularized conversational implicatures in which no conversational maxims are “flouted” or even violated, rather than generalized implicatures or particularized implicatures of Grice’s “exploitative” type. I nevertheless emphasize that I don’t take the dispute between semantic and pragmatic theories of referential use to have been satisfactorily resolved. (shrink)

I like the view that the fundamental facts are logically simple, not complex. However, some universal generalizations and negations may appear fundamental, because they cannot be explained by logically simple facts about particulars. I explore a natural reply: those universal generalizations and negations are true because certain logically simple facts—call them φφ—are the fundamental facts. I argue that this solution is only available given some metaphysical frameworks, some conceptions of metaphysical explanation and fundamentality. It requires a ‘fitting’ framework, according to (...) which metaphysical theories explain the aptness of representations in terms of how things are fundamentally. Fitting frameworks conceive of the fundamental facts as those that are metaphysically ‘real’; call them the ‘facts‐in‐reality’. Moreover, we must take as primary a plural notion of the facts‐in‐reality, not the singular notion of a fact‐in‐reality. By contrast, a metaphysics that grounds facts is incompatible with my strategy for keeping the fundamental facts logically simple. (shrink)

In the International System of Units, ‘meter’ is defined in terms of seconds and the speed of light, and ‘second’ is defined in terms of properties of cesium 133 atoms. I show that one consequence of these definitions is that: if there is a minimal length, then the chances that ‘meter’ is completely determinate are only 1 in 21,413,747. Moreover, we have good reason to believe that there is a minimal length. Thus, it is highly probable that ‘meter’ is indeterminate. (...) If the meter is indeterminate, then any unit in the SI system that is defined in terms of the meter is indeterminate as well. This problem affects most of the familiar derived units in SI. As such, it is highly likely that indeterminacy pervades the SI system. The indeterminacy of the meter is compared and contrasted with emerging literature on indeterminacy in measurement locutions. Moreover, the indeterminacy of the meter has ramifications for the metaphysics of measurement and the semantics of measurement locutions. Finally, it is shown how to redefine ‘meter’ and ‘second’ to completely avoid the indeterminacy. (shrink)

Metaphysicians with reductive theories of reality like to say how those theories account for ordinary usage and belief. A typical strategy is to offer theoretical sentences, often called ‘paraphrases’, to serve in place of various sentences that occur in ordinary talk. But how should we measure success in this endeavor? Those of us who undertake it usually have a vague set of theoretical desiderata in mind, but we rarely discuss them in detail. My purpose in this paper is to say (...) exactly what they are, and why. -/- Among the questions I want to address: what counts as an adequate theoretical replacement for an ordinary sentence? On whom does the burden of proof lie when it is unclear whether a theory of reality can provide a true replacement for some ordinary truism? Which ordinary truisms are most important to ‘save’ in this way, and why? What role does the theoretical virtue of simplicity play in this strategy: is the goal to offer simpler replacement sentences, or a simpler recipe for matching them with ordinary claims? Finally, how do recipes of this sort relate to the theories of natural language sought by semanticists? Answering these questions is crucial if we want to get clear on how best to evaluate reductive theories of reality that make use of the ‘paraphrase strategy’. (shrink)

One desideratum for a theory of fundamentality is to give us the conceptual tools to articulate fruitful metaphysical distinctions between the assortment of ‘realist’ and ‘anti-realist’ positions in a given domain such as meta-ethics. The ability to articulate such distinctions gives us a way to assess rival theories of fundamentality, such as Fine’s grounding theory and Sider’s metaphysical semantic theory. Indeed, Sider has argued that metaphysical semantic theories have an edge with respect to this desideratum and takes this as an (...) important reason to prefer those theories over rival grounding theories. This paper takes a closer look at how the rival theories compare with respect to questions of realism and defends the grounding theorist’s ability to meet the desideratum. (shrink)

I explore the thesis that the future is open, in the sense that future contingents are neither true nor false. The paper is divided into three sections. In the first, I survey how the thesis arises on a variety of contemporary views on the metaphysics of time. In the second, I explore the consequences for rational belief of the ‘Aristotelian’ view that indeterminacy is characterized by truth-value gaps. In the third, I outline one line of defence for the Aristotelian against (...) the puzzles this induces: treating opinion about future contingents as a matter of fictional belief rather than simple belief. (shrink)

Stephen Yablo (2001) argues that traditional fictionalist strategies run into trouble due to a mismatch between the modal status of a claim like ‘2 + 3 = 5’ and the modal status of its fictionalist paraphrase. I argue here that Yablo is best seen as confronting the fictionalist with a dilemma, and then go on to show how this dilemma can be resolved.

In the recent metaphysics literature, a number of philosophers have independently endeavoured to marry sparse ontology to abundant truth. The aim is to keep ontological commitments minimal, whilst allowing true sentences to quantify over a vastly greater range of entities than those which they are ontologically committed to. For example, an ontological commitment only to concrete, microscopic simples might be conjoined with a commitment to truths such as ‘There are twenty people working in this building’ and ‘There are prime numbers (...) greater than 5.’ I argue that a significant challenge to this project comes from the philosophy of mind. As Theodore Sider has pointed out, anti-physicalism is consistent with a sparse ontology. However, I will try to show that the premises of the standard anti-physicalist arguments can be used to form an argument to the conclusion that sentences which quantify over subjects of experience ontologically commit us to subjects of experience. Truths about consciousness cannot be bought more cheaply than their superficial grammar suggests. (shrink)

This volume covers a wide range of topics that fall under the 'philosophy of quantifiers', a philosophy that spans across multiple areas such as logic, metaphysics, epistemology, and even the history of philosophy. It discusses the import of quantifier variance in the model theory of mathematics. It advances an argument for the uniqueness of quantifier meaning in terms of Evert Beth’s notion of implicit definition, and clarifies the oldest explicit formulation of quantifier variance: the one proposed by Rudolf Carnap. -/- (...) The volume further examines what it means that a quantifier can have multiple meanings, and addresses how existential vagueness can induce vagueness in our modal notions. Finally, the book explores the role played by quantifiers with respect to various kinds of semantic paradoxes, the logicality issue, ontological commitment, and the behavior of quantifiers in intensional contexts. ​. (shrink)

Se examina una de las maneras más naturales e intuitivas de entender las nociones de entidad fundamental y dependencia ontológica. Se argumenta que quienes adoptan estas nociones enfrentan serios problemas y se recomienda abandonarlas, lo que no quiere decir que no haya otra forma plausible de entender estos conceptos.

This introductory chapter provides a summary of the contributions to the volume, as well as some critical remarks.

In the International System of Units (SI), ‘meter’ is defined in terms of seconds and the speed of light, and ‘second’ is defined in terms of properties of cesium 133 atoms. I show that one consequence of these definitions is that: if there is a minimal length (e.g., Planck length), then the chances that ‘meter’ is completely determinate are only 1 in 21,413,747. Moreover, we have good reason to believe that there is a minimal length. Thus, it is highly probable (...) that ‘meter’ is indeterminate. If the meter is indeterminate, then any unit in the SI system that is defined in terms of the meter is indeterminate as well. This problem affects most of the familiar derived units in SI. As such, it is highly likely that indeterminacy pervades the SI system. The indeterminacy of the meter is compared and contrasted with emerging literature on indeterminacy in measurement locutions (as in Eran Tal’s recent argument that measurement units are vague in certain ways). Moreover, the indeterminacy of the meter has ramifications for the metaphysics of measurement (e.g., problems for widespread assumptions about the nature of conventionality, as in Theodore Sider’s Writing the Book of the World) and the semantics of measurement locutions (e.g., undermining the received view that measurement phrases are absolutely precise as in Christopher Kennedy’s and Louise McNally’s semantics for gradable adjectives). Finally, it is shown how to redefine ‘meter’ and ‘second’ to completely avoid the indeterminacy. (shrink)

What do “existing” and “having existed” mean? The answer to this question depends radically on the metaphysical assumption that we are making about the nature of time. If we take the present to be privileged over other times, then “having existed” is bound to express a notion close to non-existence. If we think that the present has no ontological supremacy over what was and what will be, then the difference between “having existed” and “existing” is bound to be no deeper (...) than the difference between “existing here” and “existing there”. In this article I show that the view to the effect that the present is privileged, i.e. “presentism”, suffers from a fatal problem concerning the present truth of many past-tensed existential statements. Therefore, we had better abandon it in favour of “eternalism” – the rival view to the effect that between “existing” and “having existed” there is no ontological difference. (shrink)

Space and time are two obvious candidates as dimensions of reality. Yet, are they the only two dimensions of reality? Famously, David Lewis maintained the doctrine of ―modal realism‖, the thesis that possible worlds exist and are entities as concrete as the actual world that we live in. In this paper, I will explore the idea that modality can be construed as a dimension along with space and time. However, although Lewis‘ modal realism is the main source of inspiration for (...) this construal of modality, I will argue that something else is required for having a modal dimension. (shrink)

In this paper I want to adjudicate the dispute between those philosophers who do and those who do not think that the philosophy of language can illuminate metaphysical questions. To this end, I take the debate between Devitt and Putnam as a case study and diagnose what I take to be illuminating about their disagreement over metaphysical realism. I argue that both Putnam and Devitt are incorrect in their assessment of the significance of the model theoretic argument for realism. That, (...) whilst Devitt is entitled to claim that truth does not have anything to do with realism, Putnam’s challenge can still gain traction and seriously call into question our ability to engage in realist metaphysics. I argue that even if a completely semantically neutral conception of realism can be successfully articulated, doing so has the potential to bankrupt the methodology of metaphysical realism. Having taken this debate as a case study, I then offer some brief remarks on how to understand the philosopher who claims that realist metaphysicians should care about discussions of metasemantics and truth. Whilst I want to be cautious about generalising on the basis on this case alone, I think there are important lessons to be learned about the way in which considerations to do with language can shed light on the concerns of metametaphysics. (shrink)