Kathrin Koslicki

Does the notion of ground, as it has recently been employed by metaphysicians, point to a single unified phenomenon? Jonathan Schaffer holds that the phenomenon of grounding exhibits the unity characteristic of a single genus. In defense of this hypothesis, Schaffer proposes to take seriously the analogy between causation and grounding. More specifically, Schaffer argues that both grounding and causation are best approached through a single formalism, viz., that utilized by structural equation models of causation. In this paper, I present several concerns which suggest that the structural equation model does not transfer as smoothly from the case of causation to the case of grounding as Schaffer would have us believe. If it can in fact be shown that significant differences surface in how the formalism in question applies to the two types of phenomena in question, Schaffer’s attempt at establishing an analogy between grounding and causation has thereby been weakened and, as a result, the application of the Unity Hypothesis to the case of grounding once again stands in need of justification

It is common to think of essence along modal lines: the essential truths, on this approach, are a subset of the necessary truths. But Aristotle conceives of the necessary truths as being distinct and derivative from the essential truths. Such a non-modal conception of essence also constitutes a central component of the neo-Aristotelian approach to metaphysics defended over the last several decades by Kit Fine. Both Aristotle and Fine rely on a distinction between what belongs to the essence proper of an object and what merely follows from the essence proper of an object. In order for this type of approach to essence and modality to be successful, we must be able to identify an appropriate consequence relation which in fact generates the result that the necessary truths about objects follow from the essential truths. I discuss some proposals put forward by Fine and then turn to Aristotle’s account: Aristotle’s central idea, to trace the explanatory power of definitions to the causal power of essences has the potential to open the door to a philosophically satisfying response to the question of why certain things are relevant, while others are irrelevant, to the nature or essence of entities. If at all possible, it would be desirable for example to have something further to say by way of explanation to such questions as ‘Why is the number 2 completely irrelevant to the nature of camels?’

Along with many other languages, English has a relatively straightforward grammatical distinction between mass-occurrences of nouns and their countoccurrences. As the mass-count distinction, in my view, is best drawn between occurrences of expressions, rather than expressions themselves, it becomes important that there be some rule-governed way of classifying a given noun-occurrence into mass or count. The project of classifying noun-occurrences is the topic of Section II of this paper. Section III, the remainder of the paper, concerns the semantic differences between nouns in their mass-occurrences and those in their count-occurrences. As both the name view and the mixed view are, in my opinion, subject to serious difficulties discussed in Section III.1,I defend a version of the predicate view. Traditionally, nouns in their singular count-occurrences are also analyzed as playing the semantic role of a predicate. How, then, does the predicate view preserve the intuitive difference between nouns in their mass- and those in their count-occurrences? I suggest, in Section III.2, that there are different kinds of predicates: mass-predicates, e.g. ‘is hair’, singular count-predicates, e.g. ‘is a hair’, and plural count-predicates, e.g. ‘are hairs’. Mass-predicates and count-predicates, in my view, are not reducible to each other. The remainder of Section III takes a closer look at the differences and interrelations between these different kinds of predicates. Mass-predicates and count-predicates differ from each other truth-conditionally, and these truth-conditional differences turn out to have interesting implications, in particular concerning the part-whole relation and our practices of counting. But mass- and count-predicates are also related to each other through systematic entailment relations; these entailment relations are examined in Section III.4.

This essay provides an opinionated survey of some recent developments in the literature on ontological dependence. Some of the most popular definitions of ontological dependence are formulated in modal terms; others in non-modal terms (e.g., in terms of the explanatory connective, ‘because’, or in terms of a non-modal conception of essence); some (viz., the existential construals of ontological dependence) emphasise requirements that must be met in order for an entity to exist; others (viz., the essentialist construals) focus on conditions that must be satisfied in order for an entity to be the very entity it is at each time at which it exists; some are rigid, in the sense that they concern a relation between particular entities; others are generic, in the sense that they involve only a relation between an entity and some entities or other, which bear certain characteristics. I identify three potential measures of success with respect to which these different definitions of ontological dependence can be evaluated and consider the question of how well they in fact meet these desiderata. I end by noting that certain challenges face even the most promising essentialist construals of ontological dependence.

Concrete particular objects (e.g., living organisms) figure saliently in our everyday experience as well as our in our scientific theorizing about the world. A hylomorphic analysis of concrete particular objects holds that these entities are, in some sense, compounds of matter (hūlē) and form (morphē or eidos). The Grounding Problem asks why an object and its matter (e.g., a statue and the clay that constitutes it) can apparently differ with respect to certain of their properties (e.g., the clay’s ability to survive being squashed, as compared to the statue’s inability to do so), even though they are otherwise so much alike. In this paper, I argue that a hylomorphic analysis of concrete particular objects, in conjunction with a non-modal conception of essence of the type encountered for example in the works of Aristotle and Kit Fine, has the resources to yield a solution to the Grounding Problem.

The relative merits of standard mereology have received quite a bit of attention in recent years from metaphysicians concerned with the part/whole properties of material objects. A question that has not been pursued to the same degree, however, is what sort of semantic repercussions a commitment to mereological sums in the standard sense might have in particular on the predicted behavior of singular terms and our practices of using such terms to refer to objects. The apparent mismatch between our actual referential practices and the persistence conditions attributed to material objects by the supporters of standard mereology puts these philosophers, other things being equal, at a disadvantage compared to those whose ontology matches more closely the observed behavior of singular terms, as they are commonly used in ordinary discourse. To alleviate this problem, David Lewis leans heavily on his distinction between natural and non-natural properties. I argue in this paper that Lewis’ already heavily burdened natural/non-natural distinction among properties is not enough to avoid Quinean indeterminacy for singular terms. Those who are in the business of giving an analysis of constructions involving full-fledged predication, as opposed to the mere spatial overlap of denotations, will thus want to go in for an ontology that places more stringent structural constraints on the referents of singular terms than would be supplied by standard mereology.

In this paper, I consider particular attempts by E. J. Lowe and Michael Gorman at providing an independence criterion of substancehood and argue that the stipulative exclusion of non-particulars and proper parts (or constituents) from such accounts raises difficult issues for their proponents. The results of the present discussion seem to indicate that, at least for the case of composite entities, a unity criterion of substancehood might have at least as much, and perhaps more, to offer than an independence criterion and therefore ought to be explored further by neo-Aristotelians in search of a defensible notion of substancehood. I indicated briefly how such a unity criterion might be used by neo-Aristotelians to support the inclusion of hylomorphic compounds in the category of substance, given the traditional role of form as the principle of unity within the compound.

Following W.V. Quine’s lead, many metaphysicians consider ontology to be concerned primarily with existential questions of the form, “What is there?”. Moreover, if the position advanced by Rudolf Carnap, in his seminal essay, “Empiricism, Semantics, and Ontology ”, is correct, then many of these existential ontological questions ought to be classified as either trivially answerable or as “pseudo-questions”. One may justifiably wonder, however, whether the Quinean and Carnapian perspective on ontology really does justice to many of the most central concerns of this discipline. This chapter argues, by considering a particular ontological dispute between two different kinds of trope theorists, that some of the most interesting and important debates which properly belong to the study of being, whether we call it “metaphysics” or “ ontology ”, do not concern existential questions at all; rather, such disputes in some cases focus on non-existential disagreements over questions of fundamentality

This paper evaluates six contenders which might be invoked by essentialists in order to meet Quine’s challenge, viz., to provide necessary and sufficient conditions for the crossworld identity of individuals: (i) an object’s qualitative character; (ii) matter; (iii) origins; (iv) haecceities or primitive non-qualitative thisness properties; (v) “world-indexed properties”; and (iv) individual forms. The first three candidates, I argue, fail to provide conditions that are both necessary and sufficient for the crossworld identity of individuals; the fourth and fifth criteria are open to the charge that they do not succeed in meeting Quine’s demand in an explanatorily adequate fashion. On balance, then, individual forms, or so I propose, deserve to be taken very seriously as a possible response to Quine’s challenge, especially by neo-Aristotelians who are already committed to a hylomorphic conception of composite concrete particular objects for other reasons. Theorists who also accept a non-modal conception of essence, i.e., a conception according to which essence is not reducible to modality, in addition face the further difficult task, over and above what is required to meet Quine’s challenge, of having to explain how an object’s de re modal profile in some way follows from facts about its essence. Haecceities and world-indexed properties, as I indicate, are unlikely to be of much help with respect to this second challenge, while the forms of hylomorphic compounds are in fact well-suited for this purpose.

In his “Farewell to Substance: A Differentiated Leave-Taking”, Peter Simons reaches the provocative conclusion that the concept of substance, as it is employed by metaphysicians, has become obsolete, since in the end there may be nothing at all which answers to it. No harm is done, Simons allows, if we continue to retain an everyday notion of substance, as long as we are aware of the limitations of this practice: there is no reason in general to expect that what is salient from our specifically human point of view will retain a special place in light of our most considered scientific and metaphysical theories of the world. In this paper, I argue that, contrary to Simons’ pessimistic outlook, the concept of substance continues to retain its importance for metaphysics. Among the primary explanatory roles played by the concept of substance in metaphysics is its use in designating certain kinds of entities as occupying a privileged position relative to a particular ontology. But disputes over substancehood can also target the criteria themselves relative to which an ontologically privileged position is awarded to certain taxonomic categories. In these uses, we see the concept of substance employed in an absolute, a relational and a comparative sense, to designate items as substances simpliciter, as the substances of something else, or as more or less deserving of substance status.

The aim of this article is to illustrate how a belief in the existence of kinds may be justified for the particular case of natural kinds: particularly noteworthy in this respect is the weight borne by scientific natural kinds (e.g., physical, chemical, and biological kinds) in (i) inductive arguments; (ii) the laws of nature; and (iii) causal explanations. It is argued that biological taxa are properly viewed as kinds as well, despite the fact that they have been by some alleged to be individuals. Since it turns out that the arguments associated with the standard Kripke/Putnam semantics for natural kind terms only establish the non-descriptiveness of natural kind terms and not their rigidity, the door is open to analyze these terms as denoting traditional predicate-extensions. Finally, special issues raised by physical and chemical kinds are considered briefly, in particular impurities, isotopes and the threat of incommensurability.

According to the account of artifacts developed by Lynne Rudder Baker, artifacts have a certain “proper function” essentially. The proper function of an artifact is the purpose or use intended for the artifact by its “author(s)”, viz., the artifact’s designer(s) and/or producer(s). Baker’s account therefore traces the essences of artifacts back indirectly to the intentions of an artifact’s original author (e.g., its inventor, maker, producer or designer). Like other “author-intention-based” accounts (e.g., those defended by Amie Thomasson, Simon Evnine, and others), Baker’s treatment, or so I have argued, is subject to the concern that, when stated in its most general form, human creative intentions are not nearly as powerful and discriminating as proponents of author-intention-based accounts make them out to be (see Kathrin Koslicki, Form, Matter, Substance, Oxford University Press, 2018, Chapter 8). When Baker responds to a version of this objection launched against her account by Theodore Sider and Dean Zimmerman, she proposes that we cannot simply think things into existence for which “our conventions and practices do not have a place” (Lynne Rudder Baker, The Metaphysics of Everyday Life: An Essay in Practical Realism, 2007, p. 44). For example, I cannot, according to Baker, make up the word, “bonangle”, apply it to a piece of driftwood and thereby succeed in bringing into existence a new artifact, viz., a bonangle, merely by thinking to myself “It would be nice if the world contained bonangles; I hereby make that piece of driftwood a bonangle”. In order for this response to be effective, however, more needs to be said about how our conventions and practices support the creation of some artifacts and artifact kinds, while disallowing the attempted creation of others. In this paper, I examine the effectiveness of Baker’s response in addressing the challenges posed by the inclusion of artifacts in Baker’s practical realist ontology.

After many years of enduring the drought and famine of Quinean ontology and Carnapian meta-ontology, the notion of ground, with its distinctively philosophical flavor, finally promises to give metaphysicians something they can believe in again and around which they can rally: their very own metaphysical explanatory connection which apparently cannot be reduced to, or analyzed in terms of, other familiar idioms such as identity, modality, parthood, supervenience, realization, causation or counterfactual dependence. Often, phenomena such as the following are cited as putative examples of grounding connections: systematic connections between entire realms of facts (mental/physical; moral/natural; etc.); truthmaking (e.g., the relation between the truth of the proposition that snow is white and snow’s being white); logical cases (e.g., the connection between conjunctive facts or disjunctive facts and their constituent facts); the determinate/determinable relation (e.g., the relation between something’s being maroon and its being red). I argue in this paper that classifying all of these phenomena as exhibiting grounding connections does not achieve much in the way of illumination. In fact, by treating a collection of phenomena which is in fact heterogeneous as though it were homogeneous, we have, if anything, taken a dialectical step backward.

A significant reorientation is currently under way in analytic metaphysics, away from an almost exclusive focus on questions of existence and towards a greater concentration on questions concerning the dependence of one type of phenomenon on another. Surprisingly, despite the central role dependence has played in philosophy since its inception, interest in a systematic study of this concept has only recently surged among contemporary metaphysicians. In this paper, I focus on a promising account of ontological dependence in terms of a non-modal and sufficiently constrained conception of essence developed by Kit Fine. I argue that even this essentialist account is, as it stands, not fine-grained enough to recognize different varieties of dependence which ought to be distinguished even within the realm of ontology. In some cases, an entity may be ontologically dependent on its essential constituents out of which it is constructed; but in other cases, an entity may be ontologically dependent on another for a different reason. A framework which glosses over these differences does not offer a proper diagnosis of why one entity ontologically depends on another.

This paper provides a detailed examination of Kit Fine’s sizeable contribution to the development of a neo‐Aristotelian alternative to standard mereology; I focus especially on the theory of ‘rigid’ and ‘variable embodiments’, as defended in Fine 1999. Section 2 briefly describes the system I call ‘standard mereology’. Section 3 lays out some of the main principles and consequences of Aristotle’s own mereology, in order to be able to compare Fine’s system with its historical precursor. Section 4 gives an exposition of Fine’s theory of embodiments and goes on to isolate a number of potential concerns to which this account gives rise. In particular, I argue that Fine’s theory threatens to proliferate primitive sui generis relations of parthood and composition, whose characteristics must be stipulatively imposed on them, relative to particular domains; given its ‘superabundance’ of objects, Fine’s system far outstrips the already inflated ontological commitments of standard mereology; and there is a legitimate question as to why we should consider Fine’s primitive and sui generis relations of parthood and composition to be genuinely mereological at all, given their formal profile. These three objections lead me to conclude that we ought to explore other avenues that preserve the highly desirable, hylomorphic, features of Fine’s mereology, while avoiding its methodological and ontological excesses.

This chapter reviews several varieties of grounding skepticism as well as responses that have been proposed by grounding enthusiasts to considerations raised by grounding skeptics. Grounding skeptics, as I conceive of them here, are theorists who belong to one of the following two schools of thought. “Old-school” grounding skeptics doubt the theoretical utility of the grounding idiom by denying one of its presuppositions, viz., that this notion is at least intelligible or coherent. “Second-generation” grounding skeptics call into question the theoretical utility of the grounding idiom for other reasons; their skeptical doubts tend to focus on one of the following three purported theoretical virtues grounding enthusiasts ascribe to their idiom: (i) its alleged power to unify an apparently heterogeneous collection of phenomena; (ii) its alleged power to capture and/or elucidate the distinction between the fundamental and the non-fundamental; or (iii) the alleged metaphysical (as opposed to mind-dependent, epistemic, or psychological) utility of grounding claims. Grounding enthusiasts have already formulated responses to many of the objections described in this chapter. At this point, however, it is fair to say that the state of the literature is still evolving, and no conclusive judgment can therefore be reached as of yet as to whether grounding enthusiasts or grounding skeptics have gained the upper hand in these debates. In the meantime, though, grounding skeptics continue to maintain that the classification of factual and/or nonfactual connections under the rubric of grounding does not really help us illuminate the nature of the connections at issue; instead, from the view of the grounding skeptic, we are better off studying these various connections separately and in their own right.

This inaugural lecture, delivered on 17 November 2021 at the University of Neuchâtel, addresses the question: Are material objects analyzable into more basic constituents and, if so, what are they? It might appear that this question is more appropriately settled by empirical means as utilized in the natural sciences. For example, we learn from physics and chemistry that water is composed of H2O-molecules and that hydrogen and oxygen atoms themselves are composed of smaller parts, such as protons, which are in turn composed of yet smaller parts, such as quarks, and so on. While the question at the center of this lecture might thus appear to fall more appropriately into the empirical domain of natural science, I argue that metaphysics in fact has an important role to play in determining how best to answer the question before us. More concretely, I propose that the Aristotelian doctrine of hylomorphism, when appropriately interpreted, provides the best metaphysical answer to the question of whether and how material objects are analyzable into more basic constituents. Hylomorphism holds that those entities to which this doctrine applies are, in some sense, compounds of matter (“hylē”) and form (“morphē” or “eidos”). Thus, the title of this lecture, “Form, Matter, Substance”, refers to the claim that lies at the center of the doctrine of hylomorphism, as applied to the domain of material objects, namely that sensible substances are the result of combining matter and form in the right sort of way; or, for short, “form + matter = substance”. I begin in Section II by providing some historical background which brings out Aristotle’s motivations for proposing the doctrine of hylomorphism in the context of his analysis of change. Section III turns to some of the main features of the contemporary hylomorphic theory I have defended especially in Koslicki (2008) and Koslicki (2018). Section IV discusses some challenging questions concerning artifacts which arise for both hylomorphic and other approaches to the metaphysics of concrete particular objects. Section V concludes by summarizing why, as contemporary metaphysicians, we should prefer a hylomorphic theory over its competitors as an analysis of concrete particular objects that is compatible with our current scientific understanding of the world.

Social phenomena—quite like mental states in the philosophy of mind—are often regarded as potential troublemakers from the start, particularly if they are approached with certain explanatory commitments, such as naturalism or social individualism, already in place. In this paper, we argue that such explanatory constraints should be at least initially bracketed if we are to arrive at an adequate non-biased description of social phenomena. Legitimate explanatory projects, or so we maintain, such as those of making the social world fit within the natural world with the help of, e.g., collective intentionality, social individualism, and the like, should neither exclude nor influence the prior description of social phenomena. Just as we need a description of the mental that is not biased, for example, by (anti)physicalist constraints, we need a description of the social that is not biased, for example, by (anti)individualist or (anti)naturalist commitments. Descriptive social ontology, as we shall conceive of it, is not incompatible with the adoption of explanatory frameworks in social ontology; rather, the descriptive task, according to our conception, ought to be recognized as prior to the explanatory project in the order of inquiry. If social phenomena are, for example, to be reduced to nonsocial (e.g., psychological or physical) phenomena, we need first to understand clearly what the social candidates for the reduction in question are. While such descriptive or naive approaches have been influential in general metaphysics (see Fine 2017), they have so far not been prominent in analytic social ontology (though things are different outside of analytic philosophy, see esp. Reinach (1913). In what follows, we shall outline the contours of a descriptive approach by arguing, first, that description and explanation need to be distinguished as two distinct ways of engaging with social phenomena. Secondly, we defend the claim that the descriptive project ought to be regarded as prior to the explanatory project in the order of inquiry. We begin, in Section 2, by considering two different ways of engaging with mental phenomena: a descriptive approach taken by descriptive psychology and an explanatory approach utilized in analytic philosophy of mind. We take these two ways of approaching the study of the mind to be analogous to the distinction we want to draw in social ontology between a descriptive and an explanatory approach to the study of social phenomena. We consider next, in Section 3, how our approach compares to neighboring perspectives that are familiar to us from general metaphysics and philosophy more broadly, such as Aristotle’s emphasis on “saving the appearances”, Strawson’s distinction between descriptive and revisionary metaphysics, as well as Fine’s contrast between na¨ive and foundational metaphysics. In Section 4, we apply the proposed descriptive/explanatory distinction to the domain of social ontology and argue that descriptive social ontology ought to take precedence in the order of inquiry over explanatory social ontology. Finally, in Section 5, we consider and respond to several objections to which our account might seem to be susceptible.

Do essence-based accounts of necessity and Vetter’s potentiality-based account of possibility in fact lead to the same result, viz., a single derived notion of necessity that is interdefinable with possibility or vice versa? And does each approach independently have the ability to reach its desired goal without having to rely on the primitive notion utilized by the other? In this essay, I investigate these questions and Vetter’s responses to them. Contrary to the “separatist” position defended by Vetter, I argue that there are reasons to favor “Combination”, according to which an essence-based account of necessity should be combined with a potentiality-based account of possibility, or vice versa. According to this alternative approach, essentialism and potentialism should be regarded as allies, rather than as competitors, in a theory of derived modality, since both notions are needed in order to give a full account of necessity and possibility. Keywords: possibility, necessity, potentiality, essence, interdefinability, actuality, dependence, artifact-functions.

In this paper, we argue that, in order to account for the apparently substantive nature of definitional disputes, a commitment to what we call ‘Socratic essentialism’ is needed. We defend Socratic essentialism against a prominent neo-Carnapian challenge according to which apparently substantive definitional disputes always in some way trace back to disagreements over how expressions belonging to a particular language or concepts belonging to a certain conceptual scheme are properly used. Socratic essentialism, we argue, is not threatened by the possibility that some apparently substantive definitional disputes may turn out to be verbal or conceptual, since this pluralist strategy, in our view, requires a commitment to more, rather than fewer, essences. What is more, a deflationary, metaphysically ‘light-weight’ construal of the essence-ascriptions in question leads to a peculiar conception of the pursuit of metaphysicians as behaving like deceptive (or self-deceived) grammarians pretending to be scientists. Moreover, this deflationary attitude, we argue, spreads beyond metaphysics and philosophy more broadly to apparently substantive definitional disputes in the sciences as well as other in other disciplines, such as art criticism.

The objects we encounter in ordinary life and scientific practice - cars, trees, people, houses, molecules, galaxies, and the like - have long been a fruitful source of perplexity for metaphysicians. The Structure of Objects gives an original analysis of those material objects to which we take ourselves to be committed in our ordinary, scientifically informed discourse. Koslicki focuses on material objects in particular, or, as metaphysicians like to call them "concrete particulars", i.e., objects which occupy a single region of space-time at each time at which they exist and which have a certain range of properties that go along with space-occupancy, such as weight, shape, color, texture, and temperature. The Structure of Objects focuses in particular on the question of how the parts of such objects, assuming that they have parts, are related to the wholes which they compose.

Concrete particular objects (e.g., living organisms) figure saliently in our everyday experience as well as our in our scientific theorizing about the world. A hylomorphic analysis of concrete particular objects holds that these entities are, in some sense, compounds of matter (hūlē) and form (morphē or eidos). The Grounding Problem asks why an object and its matter (e.g., a statue and the clay that constitutes it) can apparently differ with respect to certain of their properties (e.g., the clay’s ability to survive being squashed, as compared to the statue’s inability to do so), even though they are otherwise so much alike. In this paper, I argue that a hylomorphic analysis of concrete particular objects, in conjunction with a non-modal conception of essence of the type encountered for example in the works of Aristotle and Kit Fine, has the resources to yield a solution to the Grounding Problem.

In various texts, Aristotle assigns priority to form, in its role as a principle and cause, over matter and the matter-form compound. Given the central role played by this claim in Aristotle's search for primary substance in the Metaphysics, it is important to understand what motivates him in locating the primary causal responsibility for a thing's being what it is with the form, rather than the matter. According to Met. Theta.8, actuality [ energeia / entelecheia ] in general is prior to potentiality [ dunamis ] in three ways, viz., in definition, time and substance. I propose an explicitly causal reading of this general priority claim, as it pertains to the matter-form relationship. The priority of form over matter in definition, time and substance, in my view, is best explained by appeal to the role of form as the formal, efficient and final cause of the matter-form compound, respectively, while the posteriority of matter to form according to all three notions of priority is most plausibly accounted for by the fact that the causal contribution of matter is limited to its role as material cause. When approached from this angle, the work of Met. Theta.8 can be seen to lend direct support to the more specific and explicitly causal priority claim we encounter in Met. Z.17, viz., that form is prior to matter in its role as the principle and primary cause of a matter-form compound's being what it is

Whenever an object constitutes, makes up or composes another object, the objects in question share a striking number of properties. This paper is addressed to the question of what might account for the intimate relation and striking similarity between constitutionally related objects. According to my account, the similarities between constitutionally related objects are captured at least in part by means of a principle akin to that of strong supervenience. My paper addresses two main issues. First, I propose independently plausible principles by means of which to delineate, in a non-ad-hoc, non-stipulative and non-circular fashion, those properties which can be expected to be shared among constitutionally related objects in virtue of their being so related from those which in general cannot be expected to be shared, or which are shared for other reasons. Secondly,I spell out in detail the nature of the supervenience-principle at work in this context. My account thus aims at isolating, in a methodologically responsible fashion, the particular sort of restricted indiscernibility principle which is a component of the constitution-relation.

In §54 of the Grundlagen, Frege advances an interesting proposal on how to distinguish among different sorts of concepts, only some of which he thinks can be associated with number. This paper is devoted to an analysis of the two criteria he offers, isolation and non-arbitrary division. Both criteria say something about the way in which a concept divides its extension; but they emphasize different aspects. Isolation ensures that a concept divides its extension into discrete units. I offer two construals of this: isolation as discreteness, i.e. absence of overlap, between the objects to be counted; and isolation as the drawing of conceptual boundaries. Non-arbitrary division concerns the internal structure of the units we count: it makes sure that we cannot go on dividing them arbitrarily and still find more units of the kind. Non-arbitrary division focuses not only on how long something can be divided into parts of the same kind; it also speaks to the way in which these divisions are made, arbitrarily or non-arbitrarily, as well as to the compositional structure of the objects divided.

In this paper I propose a novel treatment of generic sentences, which proceeds by means of different levels of analysis. According to this account, all generic sentences (I-generics and D-generics alike) are initially treated in a uniform manner, as involving higher-order predication (following the work of George Boolos, James Higginbotham and Barry Schein on plurals). Their non-uniform character, however, re-emerges at subsequent levels of analysis, when the higher-order predications of the first level are cashed out in terms of quantification over individuals: this last step, I suggest, involves knowledge concerning the lexical meaning of the predicates in question.

This paper concerns a fundamental dispute in ontology between the “Foundational Ontologist”, who believes that there is only one correct way of characterizing what there is, and the ontological “Skeptic”, who believes that there are viable alternative characterizations of what there is. I examine in detail an intriguing recent proposal in Dorr (2005), which promises to yield (i) a way of interpreting the Skeptic by means of a counterfactual semantics; and (ii) a way of converting the Skeptic to a position within Foundational Ontology, viz., that of Nihilism (according to which nothing composes anything and the world consists of mereological simples); this alleged conversion crucially turns on a novel notion of “metaphysical analyticity”. I argue that both components of Dorr’s proposal are problematic in central ways: as a result, the Foundational Ontologist gains an indirect argument against the coherence of the Skeptic’s position; and the non-Nihilist Foundational Ontologist may feel confirmed in his doubts towards the Nihilist outlook.