Theories that posit metaphysical structure are able to do much work in philosophy. Some, however, find the notion of ‘metaphysical structure’ unintelligible. In this paper, I argue that their charge of unintelligibility fails. There is nothing distinctively problematic about the notion. At best, their charge of unintelligibility is a mere reiteration of previous complaints made toward similar notions. In developing their charge, I clarify several important concepts, including primitiveness, intelligibility, and the Armstrong-inspired “ontologism” view of the world. I argue that, (...) ultimately, their charge is best understood as an objection whose central premise is that the notion of ‘structure’ runs contrary to an important presupposition of contemporary metaphysics. But that central premise is, on closer inspection, implausible. I respond to the objection by identifying three popular metaphysical theories that violate the alleged presupposition but are still generally regarded as intelligible. The objection thus fails to show that a theory that posits metaphysical structure is unintelligible. (shrink)

When some objects are the parts of another object, they compose that object and that object is composite. This article is intended as an introduction to the central questions about composition and a highly selective overview of various answers to those questions. In §1, we review some formal features of parthood that are important for understanding the nature of composition. In §2, we consider some answers to the question: which pluralities of objects together compose something? As we will see, the (...) dominant answers are all of them and none of them. In §§3-4, we examine one of the main arguments that has driven philosophers to these extreme answers: the argument from vagueness. In §5, we turn to the question of whether composition is unique: is it sometimes the case that some things compose more than one thing? Finally, in §6, we turn from the question of which composites exist to the question of which composites exist fundamentally. (shrink)

An encyclopedia entry which covers various revisionary conceptions of which macroscopic objects there are, and the puzzles and arguments that motivate these conceptions: sorites arguments, the argument from vagueness, the puzzles of material constitution, arguments against indeterminate identity, arguments from arbitrariness, debunking arguments, the overdetermination argument, and the problem of the many.

Perhaps the most commonly discussed argument against the possibility of extended simples is the argument from heterogeneity. The argument states that, if extended simples are possible, then extended simples which exhibit intrinsic qualitative variation across space (or spacetime) are also possible [Premise 1]. But, the argument goes, it is impossible for an extended simple to exhibit intrinsic qualitative variation across space (or spacetime) [Premise 2]. Thus, extended simples are impossible. I argue that there is a serious problem with the argument (...) from heterogeneity: the best arguments in support of the first premise undermine support for the second. Thus, there appears to be no good reason to accept both premises. (shrink)

The phasalist solution to the puzzle of the statue and the piece of clay claims that being a statue is a phase sortal property of the piece of clay, just like being a child is a phase sortal property of a human being. Some philosophers reject this solution because it cannot account for cases where the statue seems to gain and lose parts that the piece of clay does not. I rebut this objection by arguing, contrary to the prevailing view, (...) that the piece of clay is not mereologically constant and might even be highly mereologically flexible. (shrink)

On one way of talking about a traditional metaethical topic, realists accept that some items appear on the list of what exists in the moral or more broadly normative domain of inquiry. They then divide over whether those items are like what science and experience suggest that all other items on the list of what exists across all domains are like – naturalistic and secular. Reductive naturalists answer this further question affirmatively. Why don’t nonnaturalists? I explore the answer that it’s (...) because normative entities are “just too different” in the sense that they are countably different things. However, I argue that this answer rests on the subtle presupposition that the normative domain doesn’t also contain uncountable entities of the sort that analytic metaphysicians call “stuff”. Taking intuitions of difference seriously points the way to a novel form of metaethical reductive naturalism. The key is to identify the stuff that matters. (shrink)

Whereas Mereological Essentialism is the thesis that the parts of an object are essential to it, Reverse Mereological Essentialism is the thesis that the whole is essential to its parts. Specifically—since RME is an Aristotelian doctrine—it is a claim not about objects in general but about substances. Here I set out and explain RME as it should be understood from the perspective of the Aristotelian-Scholastic tradition, as well as proposing a kind of master argument for believing it. A number of (...) objections (many of which have been raised by Kathrin Koslicki or Robert Koons) are then considered, the replies to which help further to clarify and motivate RME. The final section considers some important questions concerning parts and matter in light of Ross Inman’s recent defence of RME under the guise of what he calls Substantial Priority. Considering these questions further illustrates right and wrong ways of understanding RME. Overall, the case for Reverse Mereological Essentialism is strong albeit with a number of difficulties that need to be resolved through further investigation. (shrink)

This essay is dedicated to the memory of Katherine Hawley.1Bitcoin was invented to serve as a digital currency that demands no trust in financial institutions, such as commercial and central banks. This paper discusses metaphysical aspects of bitcoin, in particular the view that bitcoin is socially constructed, non-concrete, and genuinely exists. If bitcoin is socially constructed, then one may worry that this reintroduces trust in the communities responsible for the social construction. Although we may have to rely on certain communities, (...) I argue that social construction doesn’t imply a demand for trust because the relevant communities don’t take on any relevant commitments. Bitcoin is indeed trust-free. (shrink)

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. (shrink)

This paper tests the following hypothesis: that the prime matter of classical Aristotelian-Scholastic metaphysics is numerically identical to energy. Is P=E? After outlining the classical Aristotelian concept of prime matter, I provide the master argument for it based on the phenomenon of substantial change. I then outline what we know about energy as a scientific concept, including its role and application in some key fields. Next, I consider the arguments in favour of prime matter being identical to energy, followed by (...) the arguments against. The method used is that of ontological profile comparison: does the profile of prime matter match, in key features, that of energy? An affirmative answer, that P=E, would be a momentous discovery: it would show that one of the most neglected and derided ideas of pre-modern metaphysics – a contributor to its downfall in the wake of the Scientific Revolution – was right all along. From a negative answer we would still learn much about the interaction of science and metaphysics. It turns out, however, given what we currently know, that the answer is not quite as simple as one might hope. (shrink)

Some philosophers accept what I call minimalist views about composition. They either deny that composition ever occurs, or they only allow that composition occurs when some things are taken up into a life. While minimalists often take their views to be somewhat revisionary, they usually want to distinguish their views from truly radical views such as the view that there is no external world at all. They often do this by noting that, although they don’t believe that there are tables, (...) chairs, or planets, they do believe that there are mereological simples arranged tablewise, chairwise, and planetwise. In this paper, I appeal to the nature of perceptual experience to present a problem for this move. I contend that, given some plausible assumptions, compositional minimalists cannot consistently maintain that they are justified in their minimalism and justified in believing propositions about the arrangements of mereological simples. I will argue that this commits such minimalists to external world skepticism. (shrink)

In Objects: Nothing Out of the Ordinary, Daniel Z. Korman defends a view he calls conservatism. Conservatives hold that there are ordinary objects, but no extraordinary objects. But Korman never explicitly characterizes what would qualify an object as ordinary in the relevant sense. We have some paradigm cases of ordinary objects, including tables, dogs, and trees; and we have some paradigm cases of extraordinary objects of sorts familiar from the philosophical literature. Here I attempt to fill this gap, surveying a (...) number of attempts to characterize the commitments of conservatism. All fail. In particular, no specification of what it takes for an object to be ordinary is both plausible and consistent with the conservative verdicts on the paradigms. I argue that this is no coincidence, since it turns out to be implausible in light of the results of settled science to deny the existence of one of Korman's paradigms of an extraordinary object. The upshot is that plausibility requires being a little more liberal than conservatism seems to allow. (shrink)

A world where there exists n concrete things is a count-determinate world. The orthodox view is count-determinacy is necessary; if to be is to be the value of a variable and the domain of quantification is enumerable, count-determinacy follows. Yet I argue how many there are can be indeterminate; count-indeterminacy is metaphysically possible and even likely actual. Notably, my argument includes rebuttals of Evans’ reductio of indeterminate identity and the Lewis/Sider ‘argument from vagueness’. Count-indeterminacy should therefore be recognized as another (...) basic form of genuine metaphysical indeterminacy, in addition to types recently defend by Barnes, Williams, and Wilson. (shrink)

In Objects: Nothing Out of the Ordinary, Daniel Z. Korman defends a view he calls conservatism. Conservatives hold that there are ordinary objects, but no extraordinary objects. But Korman never explicitly characterizes what would qualify an object as ordinary in the relevant sense. We have some paradigm cases of ordinary objects, including tables, dogs, and trees; and we have some paradigm cases of extraordinary objects of sorts familiar from the philosophical literature. Here I attempt to fill this gap, surveying a (...) number of attempts to characterize the commitments of conservatism. All fail. In particular, no specification of what it takes for an object to be ordinary is both plausible and consistent with the conservative verdicts on the paradigms. I argue that this is no coincidence, since it turns out to be implausible in light of the results of settled science to deny the existence of one of Korman's paradigms of an extraordinary object. The upshot is that plausibility requires being a little more liberal than conservatism seems to allow. (shrink)

The four principal competing substance ontologies are substratum theory, bundle theory, primitive substance theory, and hylomorphism. Both historically and in the recent literature, most arguments pertaining to these four theories have been developed under the assumption that only one of them can be true. However there is room in this debate for various forms of pluralism: mild pluralism here refers to the view that while only one of these four theories is true of our world, there is at least one (...) other possible world in which a different substance ontology obtains; moderate pluralism refers to the view that while only one of these four theories is true of our world, there is at least one other possible world in which multiple substance ontologies obtain ; and extreme pluralism refers to the view that our own actual world contains substances belonging to different substance ontologies. In this paper I lay out a novel argument for a version of extreme pluralism. (shrink)

There will be a few themes. One to get us going: expansion versus contraction. About an object, o, and the region, R, of space(time) in which o is exactly located,1 we may ask: i) must there exist expansions of o: objects in filled superregions2 of R? ii) must there exist contractions of o: objects in filled subregions of..

In The Principles of Mathematics, Russell writes: Whatever may be an object of thought, or may occur in any true or false proposition, or can be counted as one, I call a term. This, then, is the widest word in the philosophical vocabulary. I shall use as synonymous with it the words unit, individual and entity. The first two emphasize the fact that every term is one, while the third is derived from the fact that every term has being, i.e. (...) is in some sense. A man, a moment, a number, a class, a relation, a chimera, or anything else that can be mentioned, is sure to be a term'. Now in this remark, a certain extremely general, topic-neutral use of ‘object’ is singled out, a use in which the expression is treated as equivalent to (equally neutral) uses of ‘term’, ‘entity’, ‘unit’, ‘individual’, and ‘thing’. In addition, a claim is made to the effect that the content of the expression, with its emphasis on one, is such as to be adequate to comprehend the sum-total of existence, to include whatever there may be. The paper addresses the question of what this claim means, and whether it might be true. (shrink)

On the standard view for something to exist is for one thing to exist: in slogan form, to be is to be countable. E.J. Lowe argues something can exist without being countable as one, however. His primary example is homogenous “stuff,” i.e., qualitatively uniform and infinitely divisible matter. Lacking nonarbitrary boundaries and being everywhere the same, homogenous stuff lacks a principle of individuation that would yield countably distinct constituents. So, for Lowe, homogenous stuff is strongly uncountable. Olson rejects Lowe’s view (...) and defends the orthodox connection between existence and number. He argues that if there is any stuff, there is a number of portions of stuff. Sider also rejects a stuff ontology, claiming it is incompatible with his preferred view that the familiar quantifiers of predicate logic carve at nature’s joints. Against these arguments, I defend the uncountability of stuff and the possibility of existence without countability. If to be is to be countable, more is needed than the arguments that Olson and Sider provide. (shrink)

This paper examines the logical and metaphysical consequences of denying Leibniz's Law, the principle that if t1= t2, then φ(t1) if and only if φ(t2). Recently, Caie, Goodman, and Lederman (2020) and Bacon and Russell (2019) have proposed sophisticated logical systems permitting violations of Leibniz's Law. We show that their systems conflict with widely held, attractive principles concerning the metaphysics of individuals. Only by adopting a highly revisionary picture, on which there is no finest-grained equivalence relation, can a well-motivated metaphysics (...) for rejecting Leibniz's Law be developed. We sketch one such picture—a metaphysics of stuff. Stuff ontologies can be initially motivated through ordinary language: stuff stands to mass nouns as objects stand to count nouns. The stuff ontology we propose takes stuff to be fundamental and views the world as composed of an infinite descending hierarchy of kinds and portions of stuff. We defend the coherence of this picture and offer a model theory demonstrating that it can be consistently formalized. (shrink)

It is common to think that it’s possible for entities to spatially coincide in multiple ways: with overcrowding, and without overcrowding. Typically, we can distinguish between these by claiming that uncrowded spatial overlap involves a sharing of parts, and crowded spatial overlap does not. However, if we think that mereologically unusual entities, such as extended simples or some kinds of gunk, can also spatially overlap in crowded and uncrowded ways, we lose the ability to distinguish between those varieties of spatial (...) overlap via appeal to shared parts. Thus, we should either reject the possibilities that generated this difficulty, or we must look for an alternative explanation of these varieties of spatial overlap. (shrink)