Jim Stone argues that one cannot combine three-dimensionalism with counterpart theory. This paper argues to the contrary.

A standard response to the problem of diachronic vagueness is ‘the semantic solution’, which demands an abundant ontology. Although it is known that the abundant ontology does not logically preclude endurantism, their combination is rejected because it necessitates massive coincidence between countless objects. In this paper, I establish that the semantic solution is available not only to perdurantists but also to endurantists by showing that there is no problem with such ubiquitous and principled coincidence.

Theodore Sider has recently produced an argument which he takes to show that three-dimensionalism is incompatible with the possibility of time travel. I wish to argue that there is indeed a problem for the three-dimensionalist who wishes to countenance time travel, but that Sider has misdiagnosed it. I show why his putative challenge fails, and furthermore that if it were to succeed this would be as problematic for a wide class of four-dimensionalist positions, including Sider’s own, as (...) it would be for three-dimensionalism. Finally, I present the problem that the possibility of time travel genuinely poses for the three-dimensionalist. (shrink)

The debate between 3- and 4-dimensionalists is one of the most lively and pervasive in current metaphysics. At stake is a glittering prize: the correct metaphysical analysis of material things and other objects commonly thought to persist in time by enduring. Since we count ourselves among such objects the outcome of the debate is of more than merely academic interest to us. Obviously the ramifications of the debate, even of the points raised by Kit Fine, go far beyond what I (...) can discuss here, so I shall simply select some salient issues and comment on them from my own somewhat heterodox point of view. (shrink)

I argue that two competing accounts of persistence, three and four dimensionalism, are in fact metaphysically equivalent. I begin by clearly defining three and four dimensionalism, and then I show that the two theories are intertranslatable and equally simple. Through consideration of a number of different cases where intuitions about persistence are contradictory, I then go on to show that both theories describe these cases in the same manner. Further consideration of some empirical issues arising from (...) the theory of special relativity lead me to conclude that the two theories are equally explanatory, and thus finally that they are metaphysically equivalent. (shrink)

Persistence through time is like extension through space. A road has spatial parts in the subregions of the region of space it occupies; likewise, an object that exists in time has temporal parts in the various subregions of the total region of time it occupies. This view — known variously as four dimensionalism, the doctrine of temporal parts, and the theory that objects “perdure” — is opposed to “three dimensionalism”, the doctrine that things “endure”, or are “wholly (...) present”.1 I will attempt to resolve this dispute in favor of four dimensionalism by means of a novel argument based on considerations of vagueness. But before argument in this area can be productive, I believe we must become much clearer than is customary about exactly what the dispute is, for the usual ways of formulating the dispute are flawed, especially where three dimensionalism is concerned. (shrink)

In "Does Four-Dimensionalism Explain Coincidence" Mark Moyer argues that there is no reason to prefer the four-dimensionalist (or perdurantist) explanation of coincidence to the three-dimensionalist (or endurantist) explanation. I argue that Moyer's formulations of perdurantism and endurantism lead him to overlook the perdurantist's advantage. A more satisfactory formulation of these views reveals a puzzle of coincidence that Moyer does not consider, and the perdurantist's treatment of this puzzle is clearly preferable.

The following quotation, from Frank Jackson, is the beginning of a typical exposition of the debate between those metaphysicians who believe in temporal parts, and those who do not: The dispute between three-dimensionalism and four-dimensionalism, or more precisely, that part of the dispute we will be concerned with, concerns what persistence, and correllatively, what change, comes to. Three-dimensionalism holds that an object exists at a time by being wholly present at that time, and, accordingly, that (...) it persists if it is wholly present at more than one time. For short, it persists by enduring. Four-dimensionalism holds that an object exists at a time by having a temporal part at that time, and it persists if it has distinct temporal parts at more than one time. For short, it persists by perduring. In the light of these comments, some readers will perhaps find the question that forms the title of this paper a little puzzling. They may have learned to use the terms ‘fourdimensionalism’ ‘perdurantism’ and ‘belief in temporal parts’ interchangeably; or perhaps even to define one in terms of the other. Such a usage, however, is inapposite. We might imagine a Flatland-like world of two spatial dimensions and one temporal, whose philosophers are divided between a theory of persistence on which they persist by having temporal parts, and a theory on which they persist by being wholly located in each of several times. This is just the same issue we face, but at least the label ‘four-dimensionalism’ seems inapposite: the four-dimensionalist Flatlanders believe in only three dimensions! (shrink)

Sider has argued that four‐dimensionalism can be given a clear and coherent formulation, and has attempted to provide one. He has also argued that three‐dimensionalism resists adequate formulation. I argue that Sider's worries about whether there is an adequate formulation of three‐dimensionalism are misplaced, and suggest a formulation of three‐dimensionalism different from the ones considered and rejected by Sider. I then give a ‘matching’ formulation of four‐dimensionalism, and argue that it captures four‐ (...) class='Hi'>dimensionalism better than Sider's own formulation of that doctrine. (shrink)

Sider has argued that four‐dimensionalism can be given a clear and coherent formulation, and has attempted to provide one. He has also argued that three‐dimensionalism resists adequate formulation. I argue that Sider's worries about whether there is an adequate formulation of three‐dimensionalism are misplaced, and suggest a formulation of three‐dimensionalism different from the ones considered and rejected by Sider. I then give a ‘matching’ formulation of four‐dimensionalism, and argue that it captures four‐ (...) class='Hi'>dimensionalism better than Sider's own formulation of that doctrine. (shrink)

This paper presents the strongest version of a non-perdurantist four-dimensionalism: a theory according to which persisting objects are four-dimensionally extended in space-time, but not in virtue of having maximal temporal parts. The aims of considering such a view are twofold. First, to evaluate whether such an account could provide a plausible middle ground between the two main competitor accounts of persistence: three-dimensionalism and perdurantist four-dimensionalism. Second, to see what light such a theory sheds on the debate (...) between these two competitor theories. I conclude that despite prima facie reasons to suppose that non-perdurantist four-dimensionalism might be a credible alternative to either other account of persistence, ultimately the view is unsuccessful. The reasons for its failure illuminate the sometimes stagnant debate between three-dimensionalists and perdurantists, providing new reasons to prefer a perdurantist metaphysics. (shrink)

This paper presents the strongest version of a non-perdurantist four-dimensionalism: a theory according to which persisting objects are four-dimensionally extended in space-time, but not in virtue of having maximal temporal parts. The aims of considering such a view are twofold. First, to evaluate whether such an account could provide a plausible middle ground between the two main competitor accounts of persistence: three-dimensionalism and perdurantist four-dimensionalism. Second, to see what light such a theory sheds on the debate (...) between these two competitor theories. I conclude that despite prima facie reasons to suppose that non-perdurantist four-dimensionalism might be a credible alternative to either other account of persistence, ultimately the view is unsuccessful. The reasons for its failure illuminate the sometimes stagnant debate between three-dimensionalists and perdurantists, providing new reasons to prefer a perdurantist metaphysics. (shrink)

Bonaventure is sometimes taken to be an ante litteram champion of the four-dimensional theory of persistence. I argue that this interpretation is incorrect: Bonaventure was no four-dimensionalist.

In his excellent book, Four-Dimensionalism: An Ontology of Persistence and Time (Sider, 2001), Theodore Sider defends a version of four-dimensionalism which he calls the ‘stage-theory’. This paper focuses on Sider's argument from vagueness and argues that, due to the problematic nature of the argument from vagueness, Sider’s case in favor of four-dimensionalism is in the end not successful.

In 'Four-Dimensional Objects' Peter van Inwagen gives two arguments for the claim that proponents of four-dimensionalism have to be counterpart theorists. Recently Jack Copeland, Heather Dyke, and Diane Proudfoot, echoing in part points made by Mark Heller in this journal in 1993, have sought to rebut one of van Inwagen's arguments. In this paper I shall criticize their discussion and by implication certain points made by Heller. In so doing I shall also rebut a possible objection to van Inwagen's (...) second argument. While I shall conclude that Copeland et al . fail to make their case, I nevertheless argue that van Inwagen's argument can be resisted, provided that the four-dimensionalist is willing to adopt a certain conception of transworld identity. Moreover, I shall argue that to the extent that van Inwagen's paper highlights something problematic for four-dimensionalism in this particular conception of transworld identity, the paper highlights something equally problematic for three-dimensionalism. (shrink)

Kripke and Putnam have convinced most philosophers that we cannot do metaphysics of nature by analysing the senses of natural kind terms -- simply because natural kind terms do not have senses. Neo-descriptivists, especially Frank Jackson and David Chalmers, believe that this view is mistaken. Merging classical descriptivism with a Kaplan-inspired two-dimensional framework, neo-descriptivists devise a semantics for natural kind terms that assigns natural kind terms so-called 'primary intensions'. Since primary intensions are senses by other names, Jackson and Chalmers conclude (...) that we can and should do metaphysics of nature by analysing the natural kind concepts competent speakers possess. I argue that neo-descriptivism does not provide a suitable basis for doing this kind of metaphysics. I first of all give a detailed account of the neo-descriptivist semantics and deflate the intuitive support neo-descriptivists try to draw from their case of the XYZ-world. I then present three arguments -- the Argument from Ignorance, the Argument from Conceptual Analysis, and the Argument from Laziness. Taken together, these arguments undermine the neo-descriptivist analysis of natural kind terms. I conclude that natural kind terms do not have senses, that we cannot do metaphysics of nature by analysing the senses of our kind terms, and that the Kripke-Putnam account still provides the best semantics for natural kind terms we have. (shrink)

For those who think the statue and the piece of copper that compose it are distinct objects that coincide, there is a burden of explanation. After all, common sense says that different ordinary objects cannot occupy the same space at the same time. A common argument in favour of four-dimensionalism (or ?perdurantism? or ?temporal parts theory?) is that it provides the resources for a superior explanation of this coincidence. This, however, is mistaken. Any explanatory work done by the four-dimensionalist (...) notion of absolute parthood rests ultimately on notions equally available to the three-dimensionalist. Thus, a neutral explanation of coincidence is at least as good while avoiding commitment to temporal parts. ?Many thanks to David Christensen, Louis deRosset, Matti Eklund, and two anonymous referees for helpful comments. (shrink)

There is a general form of an argument which I call the ‘argument from vagueness’ which attempts to show that objects persist by perduring, via the claim that vagueness is never ontological in nature and thus that composition is unrestricted. I argue that even if we grant that vagueness is always the result of semantic indeterminacy rather than ontological vagueness, and thus also grant that composition is unrestricted, it does not follow that objects persist by perduring. Unrestricted mereological composition lacks (...) the power to ensure that there exist instantaneous objects that wholly overlap persisting objects at times, and thus lacks the power to ensure that there exists anything that could be called a temporal part. Even if we grant that such instantaneous objects exist, however, I argue that it does not follow that objects perdure. To show this I briefly outline a coherent version of three dimensionalism that grants just such an assumption. Thus considerations pertaining to the nature of vagueness need not lead us inevitably to accept perdurantism. (shrink)

Whether or not it is coherent to place hope in a future life beyond the grave has become a central question in the larger debate about whether a materialist view of human persons can accommodate Christian belief. Hud Hudson defends a four-dimensional account of resurrection in order to avoid persistent difficulties experienced by three-dimensionalist animalism. I present two difficulties unique to Hudson’s view. The first problem of counterpart hope is a manifestation of a general weakness of four-dimensional views to (...) accommodate adequately prudential concern about one’s future self. More significantly, the second problem of quasi hope demonstrates that even if a temporal parts view can accommodate the possibility of future resurrection it necessarily leaves human beings in the dark about their individual futures and thus incapable of hope. I conclude that whatever its merits in demonstrating the possibility of resurrection, four-dimensionalist materialism cannot accommodate veridical Christian hope. (shrink)

As tends to be the way with philosophical positions, there are at least as many two-dimensionalisms as there are two-dimensionalists. But painting with a broad brush, there are core epistemological and metaphysical commitments which underlie the two-dimensionalist project, commitments for which I have no sympathies. A sketch of three signi?cant points of disagreement.

I argue that medieval solutions to the limit decision problem imply four-dimensionalism, i.e. the view according to which substances that persist through time are extended through time as well as through space, and have different temporal parts at different times.

In this essay for a PPR book symposium on Theodore Sider's _Four-Dimensionalism<D>, I focus on two of Sider's arguments for four-dimensionalism: (i) his argument from vagueness, and (ii) his argument from time travel. Concerning (i), I first show that Sider's argument commits him to certain strange consequences that many four-dimensionalists may not endorse, and then I discuss an objection that involves appealing to 'brutal composition', the view that there is no informative answer to Peter van Inwagen's 'special composition (...) question'. Concerning (ii), I argue that the three-dimensionalist can account for time travel scenarios in a way that is analogous to Sider's four-dimensionalist account of such scenarios. (shrink)

The Argument from Temporary Intrinsics is one of the canonical arguments against endurantism. I show that the two standard ways of presenting the argument have limited force. I then present a new version of the argument, which provides a more promising articulation of the underlying objection to endurantism. However, the premises of this argument conflict with the gauge theories of particle physics, and so this version of the argument is no more successful than its predecessors. I conclude that no version (...) of the Argument from Temporary Intrinsics gives us a compelling reason to favor one theory of persistence over another. (shrink)

How do the familiar concrete objects of common sense persist through time? The four-dimensionalist argues that they perdure, that is, they persist through time by having temporal parts at each of the times at which they exist. The three-dimensionalist, on the other hand, holds that ordinary concrete objects endure; they lack an additional temporal dimension and persist, instead, by being “wholly present” at each of the times at which they exist.

What this book intends to do is to study three-dimensionalism (the distinction values-norms-facts) not in what could be called its historical dimension, but in its substantive aspect, as a "form" that, when applied to different legal themes, would add a "material content" to the three-dimensional theory. We can point out, as a study plan, the distinction between "three" perspectives: Those of the legal norm, of the legal order, and the legal relationship. Three-dimensionalism also appears (...) in this work when one analyzes the "three" phases of the life of the law: The formation, the interpretation, and the application; and in the distinction between the "three" characteristics of the legal order: Fullness, coherence, and unity --- the theory of legal validity, intended as legitimacy, as validity strictly speaking, or as effectiveness. (shrink)

There is an interesting parallel between two debates in different domains of contemporary analytic philosophy. One is the endurantism– perdurantism, or three-dimensionalism vs. four-dimensionalism, debate in analytic metaphysics. The other is the debate on the species problem in philosophy of biology. In this paper I attempt to cross-fertilize these debates with the aim of exploiting some of the potential that the two debates have to advance each other. I address two issues. First, I explore what the case (...) of species implies regarding the feasibility of particular positions in the endurantism– perdurantism debate. I argue that the case of species casts doubt on the recent claim that three-dimensionalism and four-dimensionalism are equivalent descriptions of the same underlying reality. Second, and conversely, I examine whether the metaphysical worry about three-dimensionalism and four-dimensionalism can help us to better understand the nature of biological species. I show that analyzing the thesis that species are individuals against the background of the endurantism– perdurantism debate allows us to explicate two different ways in which this thesis can be interpreted. (shrink)

In this paper I present a new definition of endurance. I argue that the three-dimensionalist ought to adopt a different understanding from the four-dimensionalist, of what it is to have a part simpliciter. With this new understanding it becomes possible to define endurance in a manner that both preserves the central endurantist intuitions, whilst avoiding commitment to any controversial metaphysical theses. Furthermore, since this endurantist definition is a mereological one, there is an elegant symmetry between the definitions of endurance (...) and perdurance in that the theories of three- and four-dimensionalism are both expressed in the language of mereology. Nevertheless, though both definitions are expressed within the same broad language, some of the terms of that language have subtly different meanings within the context of each theory. It is in understanding on the one hand that each theory is essentially a mereological theory and that therefore each shares some underlying theoretical similarities, and yet also that there are some subtle differences in the way each theory understands some of the terms of mereology, that allows us to see clearly what lies at the heart of the debate between these two accounts of persistence. (shrink)

The possibility of multi-location—of one entity having more than one exact location—is required by several metaphysical theories such as the immanentist theory of universals and three-dimensionalism about persistence. One of the most pressing challenges for multi-location theorists is that of making sense of exact location—in that extant definitions of exact location entail a principle called ‘functionality’, according to which nothing can have more than one exact location. Recently in a number of promising papers, Antony Eagle has proposed and (...) defended a definition of exact location in terms of weak location that does not entail functionality. This paper provides the first thorough assessment of Eagle’s proposal. In particular, we argue that it cannot account for the location of immanent universals, the multi-location of mereologically changing three-dimensional objects, the multi-location of mereologically complex objects, and that it makes extended simples impossible. (shrink)

Multilocation and Minimal Mereology do not mix well. It has been pointed out that Three-Dimensionalism, which can be construed as multilocation-friendly, runs into trouble with Weak Supplementation. But in fact, regardless of one’s theory of persistence, if someone posits the possibility of any one of several kinds of multilocation, he or she will not be able to maintain the necessity of any of the three axioms of Minimal Mereology: the Transitivity of Proper Parthood, the Asymmetry of Proper (...) Parthood, and Weak Supplementation. In fact, positing even the mere conceivability of cases involving multilocation will require the denial of the analyticity of Minimal Mereology. In response to this, some have claimed that we ought to relativise parthood, either to one region or to two. Unfortunately, if we replace the axioms of Minimal Mereology with region-relativised counterparts, we will not be able to capture the intuitions that supported the original axioms. The only adequate solution, I maintain, is to restrict multilocation to a domain outside the scope of the rules we intuitively take to govern the parthood relation. For those who take Minimal Mereology to be necessary and universal, that will mean relinquishing the possibility of multilocation. (shrink)

The cohabitation theory is a popular solution to the problem of personal fission. It affirms that all the people who result from fission were there cohabiting the pre-fission body all along. Adopting this solution is an uncontroversial move for four-dimensionalists, but is it open to three-dimensionalists too? Some have thought so, but Katherine Hawley, Mark Johnston, and Eric Olson have argued to the contrary. They claim three-dimensionalists simply cannot be cohabitation theorists. In this paper, I explain how they (...) can. (shrink)

Plenitude, roughly, the thesis that for any non-empty region of spacetime there is a material object that is exactly located at that region, is often thought to be part and parcel of the standard Lewisian package in the metaphysics of persistence. While the wedding of plentitude and Lewisian four-dimensionalism is a natural one indeed, there are a hand-full of dissenters who argue against the notion that Lewisian four-dimensionalism has exclusive rights to plentitude. These ‘promiscuous’ three-dimensionalists argue that (...) a temporalized version of plenitude is entirely compatible with a three-dimensional ontology of enduring entities. While few would deny the coherence of such a position, and much work has been done by its proponents to appease critics, there has been surprisingly little by way of exploring the various forms such an ontology might take as well as the potential advantages of one plenitudinous three-dimensional ontology over another. Here I develop a novel form of plenitudinous three-dimensionalism, what John Hawthorne (Metaphysical essays, 2006a, b) has called “Neo-Aristotelian Plenitude,” and argue that if one is inclined to endorse an abundant three-dimensional ontology, one is wise to opt for a plenitude of accidental unities. (shrink)

Famously, David Lewis argued that we can avoid the apparent paradoxes of time travel by introducing a notion of personal time, which by and large follows the causal flow of the time traveler's life history. This paper argues that a related approach can be adapted for use by three-dimensionalists in response to Ted Sider's claim that three-dimensionalism is inconsistent with time travel. In contrast to Lewis (and others who follow him on this point), however, this paper argues (...) that the order of events captured by so-called "personal time" should be thought of as causal, rather than temporal. (shrink)

A critical survey of the main metaphysical theories concerning the nature of material objects (substratum theories, bundle theories, substance theories, stuff theories) and their identity conditions, both synchronic (monist vs. pluralist theories) and diachronic (three-dimensionalism, four-dimensionalism, sequentialism).