The special composition question asks, roughly, under what conditions composition occurs. The common sense view is that composition only occurs among some things and that all and only ‘ordinary objects’ exist. Peter van Inwagen has marshaled a devastating argument against this view. The common sense view appears to commit one to giving what van Inwagen calls a ‘series-style answer’ to the special composition question, but van Inwagen argues that series-style answers are impossible because they are inconsistent with the transitivity of (...) parthood. In what follows I answer this objection in addition to other, less troubling objections raised by van Inwagen. (shrink)

This is a symposium on my book, Writing the Book of the World, containing a precis from me, criticisms from Dorr, Fine, and Hirsch, and replies by me.

The intimate relationship between X and Y consists in the existence of (metaphysically) necessary truths correlating their occurrences/existences/instantiations. E would be in some sense “overdetermined” if caused by both X and Y.2 Some philosophers say this would be bad, that this cannot or does not happen, that we should construct theories ruling it out, at least in certain cases.3 But why? Given the necessary truths correlating objects and their parts, objects and events concerning those objects, physical and supervenient mental properties, (...) and so on, X and Y do both seem to be causes of E. Should we say that a baseball.. (shrink)

This is a symposium on my book, Writing the Book of the World, containing a precis from me, criticisms from Dorr, Fine, and Hirsch, and replies by me.

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..

NeoFregeanism is an intriguing but elusive philosophy of mathematical existence. At crucial points, it goes cryptic and metaphorical. I want to put forward an interpretation of neoFregeanism—perhaps not one that actual neoFregeans will embrace—that makes sense of much of what they say. NeoFregeans should embrace quantifier variance.

Exotic ontologies are all the rage. Distant from common sense and often science as well, views like mereological essentialism, nihilism, and fourdimensionalism appeal to our desire to avoid arbitrariness, anthropocentrism, and metaphysical conundrums.1 Such views are defensible only if they are materially adequate, only if they can “reconstruct” the world of common sense and science. (No disrespect to the heroic metaphysicians of antiquity, but this world is not just an illusion.) In the world of common sense and science, bicycles survive (...) changes in their parts, billiard balls strike one another, and nothing travels faster than light. The mereological essentialist denies the rst, but offers this replacement: “there exist successions of numerically distinct, but appropriately related, bicycles with different parts” (Chisholm, , chapter ). The nihilist denies the second, but offers this replacement: “there exist X s and Y s such that the X s are arranged billiard-ball-wise, the Y s are also arranged billiard-ball-wise, and the X s strike the Y s”.2 The four-dimensionalist denies the third, but offers this replacement: “no sequences of matter-stages that are related by genidentity travel faster than light”.3 There is room for disagreement over what exactly “reconstruction” amounts to, but at a minimum: when a metaphysical theory reconstructs ordinary sentences φ1. . . as replacement sentences ψ1. . . , ordinary and scienti c evidence must not refute the view that, strictly speaking, it is ψ1. . . rather than φ1. . . that are true. The metaphysician needs reconstruction in order to face the tribunal of experience. An intriguing newcomer to the contemporary scene is the ancient doctrine of monism, the claim that “reality is one”.4 I will argue that, contrary to.. (shrink)

Some philosophers believe that everyday objects are 4-dimensional spacetime worms, that a person (for example) persists through time by having temporal parts, or stages, at each moment of her existence. None of these stages is identical to the person herself; rather, she is the aggregate of all her temporal parts.1 Others accept “three dimensionalism”, rejecting stages in favor of the notion that persons “endure”, or are “wholly present” throughout their lives.2 I aim to defend an apparently radical third view: not (...) only do I accept person stages; I claim that we are stages.3 Likewise for other objects of our everyday ontology: statues are statue-stages, coins are coin-stages, etc. At one level, I accept the ontology of the worm view. I believe in spacetime worms, since I believe in temporal parts and aggregates of things I believe in. I.. (shrink)

The core idea of David Armstrong’s combinatorial theory of possibility is attractive. Rearrangement is the key to modality; possible worlds result from scrambling bits and pieces of other possible worlds. Yet I encounter great difficulty when trying to formulate the theory rigorously, and my best attempts are vulnerable to counterexamples. The Leibnizian biconditionals relate possibility and necessity to possible world and true in.

Jonathan Schaffer distinguishes two sorts of monism. Existence monists say that only one object exists: The World. Priority monists admit the existence of The World’s parts, but say that their features are derivative from the properties of The World. Both have trouble explaining the features of statespace, the set of possibilities available to The World.

In the dialectic of debates about the extension of life, one witnesses a predictably repeating pattern: one side appeals to a motley of variegated criteria for something’s qualifying as a living system, only to find an opposite side taking issue with the individual necessity or collective sufficiency of the proposed criteria. Some of these criteria tend to cluster with one another, while others do not: metabolism, growth and reproduction; self-organization and homeostasis; an ability to decrease internal entropy by the appropriation (...) of free energy; stimulus response suited to self-preservation and propagation; and adaptation. In competing approaches to the extension of life, these sundry criteria thus jockey for authority, with one group of theorists promoting some subset of them as essential for life, where the appeal to essence is as likely as not to be a simple modal sine qua non , and another denying that the nominated criteria are really necessary at all. The debate then stalls, because there seems to be no shared methodology for adjudicating such disputes. We may address this unhappy situation successfully by coming to appreciate that life is what we may call a core-dependent homonym. (shrink)

This paper presents evidence that ‘because’ is importantly ambiguous between two closely related senses covering what are usually called causal explanations, on the one hand, and grounding or metaphysical explanations, on the other hand. To this end, it introduces the lexical categories of monosemy, polysemy and homonymy; describes a test for polysemy; and discusses the results of the test when applied to ‘because’. It also shows how to understand so-called hybrid explanations in light of the semantic facts established by the (...) analysis. (shrink)

On the truthmaker view of ontological commitment [Heil (From an ontological point of view, 2003); Armstrong (Truth and truthmakers, 2004); Cameron (Philosophical Studies, 2008)], a theory is committed to the entities needed in the world for the theory to be made true. I argue that this view puts truthmaking to the wrong task. None of the leading accounts of truthmaking—via necessitation, supervenience, or grounding—can provide a viable measure of ontological commitment. But the grounding account does provide a needed constraint on (...) what is fundamental. So I conclude that truthmaker commitments are not a rival to quantifier commitments, but a needed complement. The quantifier commitments are what a theory says exists, while the truthmaker commitments are what a theory says is fundamental. (shrink)

Consider a circle and a pair of its semicircles. Which is prior, the whole or its parts? Are the semicircles dependent abstractions from their whole, or is the circle a derivative construction from its parts? Now in place of the circle consider the entire cosmos (the ultimate concrete whole), and in place of the pair of semicircles consider the myriad particles (the ultimate concrete parts). Which if either is ultimately prior, the one ultimate whole or its many ultimate parts?

‘‘Thus I believe that there is no part of matter which is not—I do not say divisible—but actually divided; and consequently the least particle ought to be considered as a world full of an infinity of different creatures.’’ (Leibniz, letter to Foucher).

Mereological nihilism is the view that all concrete objects are simple. Existence monism is the view that the only concrete object is one big simple: the world. I will argue that nihilism culminates in monism. The nihilist demands the simplest sufficient ontology, and the monist delivers it.

I argue that a form of animalism that does not include the belief that ‘human animal’ is a substance-sortal has a dialectical advantage over other versions of animalism. The main reason for this advantage is that Phase Animalism, the version of animalism described here, has the theoretical resources to provide convincing descriptions of the outcomes of scenarios problematic for other forms of animalism. Although Phase Animalism rejects the claim that ‘human animal’ is a substance-sortal, it is still appealing to those (...) who believe that our nature is continuous or of a similar kind to that of other physical entities. (shrink)

It seems to be a platitude of common sense that distinct ordinary objects cannot coincide, that they cannot fit into the same place or be composed of the same parts at the same time. The paradoxes of coincidence are instances of a breakdown of this platitude in light of counterexamples that are licensed by innocuous assumptions about particular kinds of ordinary object. Since both the anticoincidence principle and the assumptions driving the counterexamples flow from the folk conception of ordinary objects, (...) the paradoxes threaten this conception with inconsistency. Typical approaches to the paradoxes reject the anticoincidence principle or some portion of the assumptions driving the counterexamples, thereby partially revising our common conception of the world around us. This essay offers a compatibilist solution to the paradoxes that sustains the folk conception of ordinary objects in its entirety. According to this solution, the various cases of distinct coincidents do not clash with the anticoincidence principle since the cases and the principle manifest different yet compatible perspectives on the world. (shrink)

Some revisionary ontologies are highly parsimonious: they posit far fewer entities than what we quantify over in ordinary discourse. The most radical examples are minimal ontologies, on which physical simples are the only things that exist. Highly parsimonious ontologies, and especially minimal ones, face the challenge of either accounting for the truth of our ordinary quantificational discourse, or paraphrasing such discourse away. Common strategies for addressing this challenge include classical reduction, paraphrase nihilism, and a distinction between ontological and existence commitments. (...) I argue, however, that these strategies are either implausible or fail to provide truth conditions consistent with minimal or parsimonious ontologies. I then discuss, defend, and suggest ways to strengthen an alternative framework for reduction, on which the sentences of reducing theories ground those of reducible theories. Relative to the other options for defending minimal ontology, a strengthened grounding-reductive approach can provide more defensible truth conditions for minimal ontology, better preserve scientific realist intuitions, set a more attainable standard for reduction, and allow our existence commitments to be more responsive to empirical evidence and scientific expertise. As a result, I argue that minimal ontology becomes more defensible—though not certain—on a grounding-reductive framework. But even if minimal ontology were wrong, the grounding-reductive framework makes other parsimonious but non-minimal ontologies more plausible. (shrink)

As I will use the term, an object is a mereological sum of some things just in case those things compose it simply in virtue of existing. In the first half of this paper, I argue that there are no sums. The key premise for this conclusion relies on a constraint on what, in certain cases, it takes for something to ground, or metaphysically explain, something else. In the second half, I argue that in light of my argument against sums, (...) Universalism, which is perhaps the most widely accepted answer to the Special Composition Question, is false. (shrink)

The statue and the lump of clay that constitutes it fail to share all of their kind and modal properties. Therefore, by Leibniz’s Law, the statue is not the lump. Question: What grounds the kind and modal differences between the statue and the lump? In virtue of what is it that the lump of clay, but not the statue, can survive being smashed? This is the grounding problem. Now a number of solutions to the grounding problem require that we substantially (...) revise our view of reality. In this paper, I provide a solution to this problem that does not require such a revision. I then show how my solution to the grounding problem can solve a related problem and answer a related question. The upshot is that the solution I offer is not only non-revisionary, but also fruitful. (shrink)

David Lewis holds that a single possible world can provide more than one way things could be. But what are possible worlds good for if they come apart from ways things could be? We can make sense of this if we go in for a metaphysical understanding of what the world is. The world does not include everything that is the case—only the genuine facts. Understood this way, Lewis's “cheap haecceitism” amounts to a kind of metaphysical anti-haecceitism: it says there (...) aren't any genuine facts about individuals over and above their qualitative roles. (shrink)

Some hold that the lesson of Russell’s paradox and its relatives is that mathematical reality does not form a ‘definite totality’ but rather is ‘indefinitely extensible’. There can always be more sets than there ever are. I argue that certain contact puzzles are analogous to Russell’s paradox this way: they similarly motivate a vision of physical reality as iteratively generated. In this picture, the divisions of the continuum into smaller parts are ‘potential’ rather than ‘actual’. Besides the intrinsic interest of (...) this metaphysical picture, it has important consequences for the debate over absolute generality. It is often thought that ‘indefinite extensibility’ arguments at best make trouble for mathematical platonists; but the contact arguments show that nominalists face the same kind of difficulty, if they recognize even the metaphysical possibility of the picture I sketch. (shrink)

This paper presents a version of hylomorphism that intends to solve problems faced by contemporary hylomorphism. After showing that attempts to understand form as sets or relation of essential properties fail at taking into account the dynamic development of substances, the paper suggests another version of hylomorphism able to solve these difficulties. A functionalist version of hylomorphism is then defended: the best way to understand how form can be present throughout all the developmental stages of a substance is to understand (...) it as a certain kind of function. (shrink)

In some quarters, it is held that Anscombe proved that a zygote is not a human being on the basis of an argument involving the possibility of identical twins, but there is surprisingly little agreement on what her argument is supposed to be. I criticize several extant interpretations, both as interpretations of Anscombe and as self-standing arguments, and offer a different understanding of her conclusion on which the non-specificity of creation processes and their goals is at issue.

As introduction to the special issue on the semantics of cardinals, we offer some background on the relevant literature, and an overview of the contributions to this volume. Most of these papers were presented in earlier form at an interdisciplinary workshop on the topic at The Ohio State University, and the contributions to this issue reflect that interdisciplinary character: the authors represent both fields in the title of this journal.

In recent years, a significant number of philosophers from an orthodox analytic background have begun to advocate theories of composite objects, which they say are strikingly similar to Aristotle’s hylomorphism. These theories emphasize the importance of structure, or organization—which they say is closely connected to Aristotle’s notion of form—in defining what it is for a composite to be a genuine object. The reality of these structures is closely connected with the fact that they are held to possess powers, again in (...) what is held to be a broadly Aristotelian sense, and so to be genuinely efficacious. Naturally enough, they want to do all this without espousing the discredited aspects of Aristotelian science. It is the purpose of this essay to cast a skeptical eye on whether this objective can be achieved. (shrink)

I focus on two arguments, due to Jaegwon Kim and Trenton Merricks, that move from claims about the sufficiency of one class of causes to the reduction or elimination of another class of entity, via claims about overdetermination. I argue that in order to validate their move from sufficiency to reduction or elimination, both Kim and Merricks must assume that there can be no ‘weak overdetermination’; i.e., that no single effect can have numerically distinct but dependently sufficient causes occurring at (...) the same time. One problem for both arguments is that weak overdetermination isn't obviously objectionable. That point has been well made before. But I want here to go further than merely shifting the burden of proof onto the advocates of overdetermination arguments. I want to tease out why they are so convinced that we must resist weak overdetermination and explain why their conviction is misguided. Both Merricks and Kim, I shall argue, ultimately rest their case on the same motivating principle, wh.. (shrink)

Social groups, including racial and gender groups and teams and committees, seem to play an important role in our world. This article examines key metaphysical questions regarding groups. I examine answers to the question ‘Do groups exist?’ I argue that worries about puzzles of composition, motivations to accept methodological individualism, and a rejection of Racialism support a negative answer to the question. An affirmative answer is supported by arguments that groups are efficacious, indispensible to our best theories, and accepted given (...) common sense. Then, I turn to an examination of the features of social groups. I argue that social groups can be divided into two sorts. Groups of Type 1 are organized social groups like courts and clubs. Groups of Type 2 are groups like Blacks, women, and lesbians. While groups of both sorts have some features in common, they also have marked differences in features. Finally, I turn to views of the nature of social groups. I argue that the difference in features provides evidence that social groups do not have a uniform nature. Teams and committees are structured wholes, while race and gender groups are social kinds. (shrink)

At a 2011 meeting of the Society of Christian Philosophers, N. T. Wright offered four reasons for rejecting the existence of soul. This was surprising, as many Christian philosophers had previously taken Wright's defense of a disembodied intermediate state as a defense of a substance dualist view of the soul. In this paper, I offer responses to each of Wright's objections, demonstrating that Wright's arguments fail to undermine substance dualism. In so doing, I expose how popular arguments against dualism fail, (...) such as dualism is merely an unwarranted influence of Greek culture on Christianity, and substance dualism is merely a soul-of-the-gaps hypothesis. Moreover, I demonstrate that Wright himself has offered a powerful reason for adopting substance dualism in his previous works. In conclusion I offer a view that explains why the human soul needs a resurrected body. (shrink)

Forthcoming in Philosophical Compass. I explain why plural quantifiers and predicates have been thought to be philosophically significant.

We are ignorant knowers. This paper proposes an information theoretic explanation of that fact. The explanation is a conjunction of three claims. First, that even in those dimensions where we are capable of picking up information, there is information that we don’t pick up. Second, that there can be dimensions of information for which we lack the capacity to pick up any information whatsoever. Third, that we don’t know whether the faculties and cognitive capacities we are endowed with process all (...) the information that they pick up. (shrink)

Just as we may ask whether, and under what conditions, a collection of objects composes a single object, we may ask whether, and under what conditions, a collection of actions composes a single action. In the material objects literature, this question is known as the "special composition question," and I take it that there is a similar question to be asked of collections of actions. I will call that question the "special composition question in action," and argue that the correct (...) answer to this question depends on a particular kind of consequence produced by the individual constituent actions. (shrink)

The problem of reconciling the philosophical denial of ontological vagueness with common-sense beliefs positing vague objects, properties and relations is addressed. This project arises for any view denying ontological vagueness but is especially pressing for transvaluationism, which claims that ontological vagueness is impossible. The idea that truth, for vague discourse and vague thought-content, is an indirect form of language-thought correspondence is invoked and applied. It is pointed out that supervaluationism provides one way, but not necessarily the only way, of implementing (...) the idea of indirect correspondence. (shrink)

In this paper, I propose a general taxonomy of different forms of eliminativism. In order to do so, I begin by exploring eliminativism from a broad perspective, providing a comparative picture of eliminativist projects in different domains. This exploration shows that eliminativism is a label used for a family of related types of eliminativist arguments and claims. The proposed taxonomy is an attempt to systematise those arguments and claims.

Few critics of the received view in metaphysics that ontological disputes are generally substantive have stirred as much response as those that have developed Carnapian arguments turning on considerations of language and interpretation. The arguments from deflationists like Thomasson ( 2009, 2014 ) and Neo-Fregeans like Hale and Wright ( 2009 ), focus on features of actual language use, others like those from Hirsch ( 2002, 2009 ) focus on interpretation. In this paper, I offer a novel challenge to the (...) latter sort of argument. I argue that through their use of the principle of charity, they have unacceptable consequences beyond the ontology room: the best accounts of some natural language phenomena—most importantly, presupposition—cannot be maintained. (shrink)

I argue for patternism, a new answer to the question of when some objects compose a whole. None of the standard principles of composition comfortably capture our natural judgments, such as that my cat exists and my table exists, but there is nothing wholly composed of them. Patternism holds, very roughly, that some things compose a whole whenever together they form a “real pattern”. Plausibly we are inclined to acknowledge the existence of my cat and my table but not of (...) their fusion, because the first two have a kind of internal organizational coherence that their putative fusion lacks. Kolmogorov complexity theory supplies the needed rigorous sense of “internal organizational coherence”. (shrink)

Australasian Journal of Philosophy, Ahead of Print.

Traditional procedures for rational updating fail when it comes to self-locating opinions, such as your credences about where you are and what time it is. This paper develops an updating procedure for rational agents with self-locating beliefs. In short, I argue that rational updating can be factored into two steps. The first step uses information you recall from your previous self to form a hypothetical credence distribution, and the second step changes this hypothetical distribution to reflect information you have genuinely (...) learned as time has passed. While the second step resembles traditional procedures of updating by conditionalization, the first is best understood by analogy to traditional models of how agents transmit self-locating opinions through ordinary interpersonal communication. (shrink)

Critics of contemporary metaphysics argue that it attempts to do the hard work of science from the ease of the armchair. Physics, not metaphysics, tells us about the fundamental facts of the world, and empirical psychology is best placed to reveal the content of our concepts about the world. Exploring and understanding the world through metaphysical reflection is obsolete. In this paper, I will show why this critique of metaphysics fails, arguing that metaphysical methods used to make claims about the (...) world are similar to scientific methods used to make claims about the world, but that the subjects of metaphysics are not the subjects of science. Those who argue that metaphysics uses a problematic methodology to make claims about subjects better covered by natural science get the situation exactly the wrong way around: metaphysics has a distinctive subject matter, not a distinctive methodology. The questions metaphysicians address are different from those of scientists, but the methods employed to develop and select theories are similar. In the first section of the paper, I will describe the sort of subject matter that metaphysics tends to engage with. In the second section of the paper, I will show how metaphysical theories are classes of models and discuss the roles of experience, common sense and thought experiments in the construction and evaluation of such models. Finally, in the last section I will discuss the way these methodological points help us to understand the metaphysical project. Getting the right account of the metaphysical method allows us to better understand the relationship between science and metaphysics, to explain why doing metaphysics successfully involves having a range of different theories, to understand the role of thought experiments involving fictional worlds, and to situate metaphysical realism in a scientifically realist context. (shrink)

If an object has a property essentially, it has that property in every possible world according to which it exists.2 If an object has a property accidentally, it does not have that property in every possible world according to which it exists. Claims about an object’s essential or accidental properties are de re modal claims, and essential and accidental properties are de re modal properties. Take an object’s modal profile to specify its essential properties and the range of its accidental (...) properties. Note that “world” as I am using it is a term of art: a modal realist believes that there are many concrete worlds, while the actualist believes in only one concrete world, the actual world. The ersatzist is an actualist who takes nonactual possible worlds and their contents to be abstracta. Essentialism is the view that objects have properties essentially, but one should distinguish deep essentialism from shallow essentialism. Deep essentialists take the (nontrivial) essential properties of an object to determine its nature— such properties give sense to the idea that an object has a unique and distinctive character, and make it the case that an object has to be a certain way in order for it to be at all.3 As Stephen Yablo (1987, 297) describes it, the essence of a thing is “an assortment of properties in virtue of which it is the entity in question,” as well as “a measure of what is required for it to be that thing.” Intuitively, on the deep essentialist picture, an ordinary object has essential properties, and it must have its essential properties in order for it to exist. On this view, objects’ essential properties are absolute, i.e., are not determined by contexts of describing (or thinking, etc.) about the object, and truths about such properties are absolute truths.4 Shallow essentialists oppose deep essentialists: they reject the view that objects can be said to have essential properties independently of contexts of description or evaluation, and so substitute context-dependent truths for the deep essentialist’s context-independent ones.. (shrink)

I discuss puzzles involving coinciding material objects (such as statues and their constitutive lumps of clay) and propose solutions.

In "Sider on Existence" (Noužs, 2007), David Liebesman and Matti Eklund argue that my "indeterminacy argument", according to which quantifiers are never vague, clashes with my "naturalness argument", according to which quantifiers "carve at the joints". There is, I argue, no outright inconsistency. But Liebesman and Eklund have shown that my arguments are not as independent as it may have appeared. The best defense of the indeterminacy argument is via the naturalness argument.

Here is a puzzle from the Stoic, Chrysippus: There was once a man called Dion, who was unfortunate enough to have his foot annihilated. Thereafter, he was known as Theon. Theon is identical to what was left over after Dion’s foot was removed. That is, Theon is that part of Dion that does not include his foot. If all this is true, then Theon is a proper part of Dion. That is, he is a part of Dion, but not identical (...) to Dion. But if that’s right, then, surprisingly, Dion didn’t survive the loss of his foot. (shrink)

ABSTRACT This paper proposes a novel answer to the Special Composition Question. In some respects it agrees with brutalism about composition; in others with universalism. The main novel feature of this answer is the insight I think it gives into what the debate over the Special Composition Question is about.

ABSTRACTI propose a different account of fictional objects from the ones already present in the literature. According to my account, fictional objects are culturally created abstract objects dependent for their existence on the pretence attitude adopted by a group of people towards a single fictional content. My work is divided into three parts: in the first one, I present how fictional objects come into existence according to my proposal; in the second part, I illustrate how the existence of fictional objects (...) so conceived may be ontically indeterminate; in the last part, I consider what happens when vague existence and indeterminate identity are claimed within fictional texts. (shrink)

Something is good insofar as it achieves its end, so says a neo-Aristotelian view of goodness. Powers/dispositions are paradigm cases of entities that have an end, so say many metaphysicians. A question therefore arises, namely, can one account for neo-Aristotelian goodness in terms of an ontology of powers? This is what I shallbeginto explore in this paper. I will first provide a brief explication of both neo-Aristotelian goodness and the metaphysics of powers, before turning to investigate whether one can give (...) an account of neo-Aristotelian goodness in terms of powers. I will suggest that the answer to this question is yes. (shrink)

The biophilosophic justification for the idea that “brain death” is death needs to support two claims: that what dies in human death is a human organism, not merely a psychological entity distinct from it; that total brain failure signifies the end of the human organism as a whole. Defenders of brain death typically assume without argument that the first claim is true and argue for the second by defending the “integrative unity” rationale. Yet the integrative unity rationale has fallen on (...) hard times. In this article, I give reasons for why we should think of ourselves as organisms, and why the “fundamental work” rationale put forward by the 2008 President’s Council is better than the integrative unity rationale, despite persistent objections to it. (shrink)

It seems evident that things sometimes get bigger by acquiring new parts. But there is an ancient argument purporting to show that this is impossible: the paradox of increase or growing argument.i Here is a sketch of the paradox. Suppose we have an object, A, and we want to make it bigger by adding a part, B. That is, we want to bring it about that A first lacks and then has B as a part. Imagine, then, that we conjoin (...) B to A in some appropriate way. Never mind what A and B are, or what this conjoining amounts to: let A be anything that can gain a part if anything can gain a part, and let B be the sort of thing that can become a part of A, and suppose we do whatever it would take to make B come to be a part of A if this is possible at all. Have we thereby made B a part of A? It seems not. We seem only to have brought it about that B is attached to A, like this. (shrink)