Perdurance

This essay offers an original interpretation and defense of the doctrine of flux, as it is presented in Plato’s Theaetetus. The methodology of the paper’s analysis is in the style of rational reconstruction, and it is highly analytic in scope, in the sense that I will focus on the text itself, and only on certain parts of it too, while ignoring the rest of Plato’s extensive corpus, and without worrying about whether, how, and to what extent the interpretation of the (...) view coheres well with the other elements of the secret doctrine view discussed in the dialogue, as well. In the first part of the essay, I’ll offer my interpretation of the doctrine. Then, in the second part of the essay, I’ll examine two potential criticisms of the doctrine, including Socrates’s infamous linguistic paradox, and show how my interpretation of Heraclitean flux metaphysics is able to circumvent both. (shrink)

Many philosophers are sympathetic to a perdurantist view of persistence. One challenge facing this view lies in its ability to ground prudential rationality. If, as many have thought, numerical identity over time is required to ground there being sui generis (i.e. non-instrumental) prudential reasons, then perdurantists can appeal only to instrumental reasons. The problem is that it is hard to see how, by appealing only to instrumental reasons, the perdurantist can vindicate the axiom of prudence: the axiom that any person-stage (...) has reason to promote the wellbeing of any other person-stage that is part of the same person as that stage. The claim that perdurantists cannot vindicate the axiom, and hence that the view should be rejected, is what we call the normative argument against perdurantism. In this paper we argue that purely instrumental rationality can ground the truth of this axiom, and hence that the normative argument against perdurantism fails. (shrink)

The debate over persistence currently involves three competing theories—one three-dimensionalist theory called “endurantism” and two four-dimensionalist theories called “perdurantism” and “exdurantism.” This inner debate between the latter two persistence theories is what I aim to clarify, and ultimately, I argue that perdurantism is superior to exdurantism because exdurantism is too extravagant in counting ordinary objects in the world. Extravagant for the reason that objects in their entirety are bound to their momentary stages, and there is practically an interminable number of (...) these stages, which is not reasonable when counting in the ordinary world. (shrink)

What does it mean for an object to persist through time? Consider the statement, ‘My car is filthy, I need to wash it.’ Consider the response, ‘How did it get that way?’ The answer is that dirt, dust and other particles have collected on the car’s surface thus making it filthy. Its properties have changed. At one point in the car’s career, none of that dirt and grime existed on its surface and the car was said to be clean. The (...) fact is that for a car to get dirty, the extension of time is necessary. The standard view of identity is that each thing is entirely itself at any given time. So how can an object remain identical with itself over time, if it changes its properties? In many ways I have different properties now than those I had last week. But if I am different, how then can I be the same? The objective of this article is to answer the question of what it means to say that we and other things persist through time. First I’ll lay out two popular philosophical views of persistence through time, then I will present possible problems with both views. After that, I will outline another possible answer that lies outside of these views. Finally, I will providemy own answer. (shrink)

This paper develops the Diachronic Self-Making View, the view that we are the non-accidentally best candidate referents of our ‘I’-beliefs. A formulation and defence of DSV is followed by an overview of its treatment of familiar puzzle cases about personal identity. The rest of the paper focuses on a challenge to DSV, the Puzzle of Inconstant ‘I’-beliefs: the view appears to force on us inconsistent verdicts about personal identity in cases that we would naturally describe as changes in one’s de (...) se beliefs. To solve this problem, the paper defends the possibility of overlapping people, and addresses a number of objections to this idea. (shrink)

There has been a growing charge that perdurantism—with its bloated ontology of very person-like objects that coincide persons—implies the repugnant conclusion that we are morally obliged to be feckless. I argue that this charge critically overlooks the epistemic situation—what I call the ‘veil of ignorance’—that perdurantists find themselves in. Though the veil of ignorance still requires an alteration of our commonsense understanding of the demands on action, I argue for two conclusions. The first is that the alteration that is required (...) isn’t a moral one, but rather an alteration of prudential reasoning. Second, and more importantly, this alteration isn’t necessarily a repugnant one. In fact, given that it prudentially pushes one towards greater impartiality, it may be seen as a point in favor of perdurantism. (shrink)

Given reductionism about people, personal persistence must fundamentally consist in some kind of impersonal continuity relation. Typically, these continuity relations can hold from one to many. And, if they can, the analysis of personal persistence must include a non-branching clause to avoid non-transitive identities or multiple occupancy. It is far from obvious, however, what form this clause should take. This paper argues that previous accounts are inadequate and develops a new proposal.

Perdurantists think of continuants as mereological sums of stages from different times. This view of persistence would force us to drop the idea that there is genuine change in the world. By exploiting a presentist metaphysics, Brogaard proposed a theory, called presentist four-dimensionalism, that aims to reconcile perdurantism with the idea that things undergo real change. However, her proposal commits us to reject the idea that stages must exist in their entirety. Giving up the tenet that all the stages are (...) equally real could be a price that perdurantists are unwilling to pay. I argue that Kit Fine ’s fragmentalism provides us with the tools to combine a presentist metaphysics with a perdurantist theory of persistence without giving up the idea that reality is constituted by more than purely present stages. (shrink)

The recent literature on the nature of persistence features a handful of imaginative cases in which an object seems to colocate with itself. So far, discussion of these cases has focused primarily on how they defy the standard endurantist approaches to the problem of temporary intrinsics. But in this article, I set that issue aside and argue that cases of apparent self-colocation also pose another problem for the endurantist. While the perdurantist seems to have a fairly straightforward account of self-colocation, (...) the endurantist has a hard time saying exactly what it would be for an object to be self-colocated. After introducing this problem and explaining how the perdurantist can circumvent it with little difficulty, I discuss a number of tempting endurantist solutions that ultimately fail. Then I suggest an endurantist solution which I think is more promising, but which requires the endurantist to deny that apparent cases of self-colocation are genuine cases of self-colocation. (shrink)

A and B continue their conversation concerning the Identity of Indiscernibles. Both are aware of recent critiques of the principle that haven’t received replies; B summarizes those critiques, and A offers the replies that are due. B then raises a new worry.

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.

David Lewis defends the following "non-circular definition of personhood": "something is a continuant person if and only if it is a maximal R-interrelated aggregate of person-stages. That is: if and only if it is an aggregate of person-stages, each of which is R-related to all the rest (and to itself), and it is a proper part of no other such aggregate." I give a counterexample, involving a person who is a part of another, much larger person, with a separate mental (...) life. I then offer an easy repair, which preserves the virtues of Lewis's definition without introducing any new vices. (shrink)

Critical notice assessing the use of information theory in the attempt to build a design inference, and to re-establish some aspects of the program of natural theology, as carried out in this third major monograph devoted to the subject of intelligent design theory by mathematician and philosopher William A. Dembski, after The Design Inference (1998) and No Free Lunch (2002).

Are concrete objects in some sense made up of the properties they exemplify? A distinguished tradition holds they are. I begin by defending the distinction: there is a real and not just semantic distinction between asserting and denying that concrete objects have their properties as parts. I then argue in favor of the view that concrete objects are not made up of their parts. First, this view has less ontological baggage than its opponent. Next, the supposed advantages of the alternative (...) view—its superiority in understanding persistence, exemplification, or the possibility of diverse duplicates—dissipate under analysis. (shrink)

In this paper, I explore the question what a continuant is, in the context of a very interesting suggestion recently made by Rowland Stout, as part of his attempt to develop a coherent ontology of processes. Stout claims that a continuant is best thought of as something that primarily has its properties at times, rather than atemporally—and that on this construal, processes should count as continuants. While accepting that Stout is onto something here, I reject his suggestion that we should (...) accept that processes are both occurrents and continuants; nothing, I argue, can truly occur or happen, which does not have temporal parts. I make an alternative suggestion as to how one might deal with the peculiar status of processes without jettisoning a very natural account of occurrence; and assess the consequences for the category of continuant. (shrink)

When do objects at different times compose a further object? This is the question of diachronic composition. The universalist answers, ‘under any conditions whatsoever’. Others argue for restrictions on diachronic composition: composition occurs only when certain conditions are met. Recently, some philosophers have argued that restrictions on diachronic compositions are motivated by our best physical theories. In Persistence and Spacetime and elsewhere, Yuri Balashov argues that diachronic compositions are restricted in terms of causal connections between object stages. In a recent (...) article, Nikk Effingham argues that the standard objections to views that endorse restrictions on composition do not apply to a view that restricts composition according to compliance with the laws of nature. On the face of it, such restrictions on diachronic composition preserve our common-sense ontology while eliminating from it scientifically revisionary objects that travel faster than the speed of light. I argue that these attempts to restrict diachronic composition by appealing to either causal or nomological constraints face insurmountable difficulties within the context of special relativity. I discuss how the universalist should best respond to Hudson’s argument for superluminal objects, and in doing so, I present and defend a new sufficient condition for motion that does not entail that such objects are in superluminal motion. 1 Introduction2 Diachronic Composition3 Diachronic Composition and Superluminal Objects4 Restricting Diachronic Composition5 Causal and Nomological Restrictions on Composition in a Relativistic Context6 Superluminal Objects and Motion7 Conclusion. (shrink)

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. (shrink)

Until recently, an almost perfect parallelism seemed to hold between theories of identity through time and across possible worlds,as every account in the temporal case(endurantism,perdurantism, exdurantism) was mirrored by a twin account in the modal case (trans-world identity, identity-via-parts, identity-via-counterparts). Nevertheless, in the recent literature, this parallelism has been broken because of the implementation in the debate of the relation of location. In particular, endurantism has been subject to a more in-depth analysis, and different versions of it, corresponding to different (...) ways an entity can be located in time, emerged. In this article, we provide a precise map of the conceptions at stake, complete the debate by introducing a version of endurantism not yet considered in the debate — we call transcendentism — and show that it allows us to provide an effective interpretation of the relation of trans-world identity and an intuitive solution in the temporal case. (shrink)

The main claim that I want to defend in this paper is that the there are logical equivalences between eternalism and perdurantism on the one hand and presentism and endurantism on the other. By “logical equivalence” I mean that one position is entailed and entails the other. As a consequence of this equivalence, it becomes important to inquire into the question whether the dispute between endurantists and perdurantists is authentic, given that Savitt (2006) Dolev (2006) and Dorato (2006) have cast (...) doubts on the fact that the debate between presentism and eternalism is about “what there is”. In this respect, I will conclude that also the debate about persistence in time has no ontological consequences, in the sense that there is no real ontological disagreement between the two allegedly opposite positions: as in the case of the presentism/eternalism debate, one can be both a perdurantist and an endurantist, depending on which linguistic framework is preferred. (shrink)

An introduction to the theories of endurantism and perdurantism, and persistence more broadly.

The recent debate in metaontology gave rise to several types of (more or less classical) answers to questions about "equivalences" between metaphysical theories and to the question whether metaphysical disputes are substantive or merely verbal (i.e. various versions of realism, strong anti-realism, moderate anti-realism, or epistemicism). In this paper, I want to do two things. First, I shall have a close look at one metaphysical debate that has been the target and center of interest of many meta-metaphysicians, namely the problem (...) of how material objects persist through time : the endurantism vs. perdurantism controversy. It has been argued that this debate is a good example of a merely verbal one, where two allegedly competing views are in fact translatable one into each other – they end up, contrary to appearances, to be equivalent. In my closer look at this debate, I will conclude that this is correct, but only to some extent, and that there does remain room for substantive disagreement. The second thing that I wish to achieve in this paper, and that I hope will stem from my considerations about the persistence debate, is to defend a metaontological view that emphasizes that when asking the question "Are metaphysical debates substantive or verbal?" the correct answer is "It depends." Some debates are substantive, some debates are merely verbal, sometimes it is true that a problem or a question can be formulated in equally good frameworks where there is no fact of the matter as to which one is correct or where we just cannot know it. Furthermore, importantly, as my examination of the persistence debate will show, there is room for the view that a debate is largely merely verbal but not entirely and that some parts of it are substantive, and decidable by philosophical methods. It is possible, and it is the case with respect to the persistence debate, that inside a debate some points are merely verbal while other are places of substantive disagreement. A moral of this is that, at the end of the day, the best way to do meta-metaphysics is to do first-level metaphysics. (shrink)

In ‘Location and Perdurance’ (2010), I argued that there are no compelling mereological or sortal grounds requiring the perdurantist to distinguish the molecule Abel from the atom Abel in Gilmore’s original case (2007). The remaining issue Gilmore originally raised concerned the ‘mass history’ of Adam and Abel, the distribution of ‘their’ mass over spacetime. My response to this issue was to admit that mass histories needed to be relativised to a way of partitioning the location of Adam/Abel, but that did (...) not amount to relativising any fundamental natural intrinsic properties—the latter are all had unrelativised, and (so most perdurantists would say). (shrink)

Recently, Cody Gilmore has deployed an ingenious case involving backwards time travel to highlight an apparent conflict between the theory that objects persist by perduring, and the thesis that wholly coincident objects are impossible. However, careful attention to the concepts of location and parthood that Gilmore’s cases involve shows that the perdurantist faces no genuine objection from these cases, and that the perdurantist has a number of plausible and dialectically appropriate ways to avoid the supposed conflict.

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.

According to perdurantism, objects persist by being spread out over time, just as composite three-dimensional objects are spread out over space. Just as a composite three-dimensional object is spread out over space by having spatial parts, objects persist, according to perdurantism, by having temporal parts. Perdurantism can be stated more precisely by saying what exactly a temporal part is. In the sequel, Theodore Sider's definition of "instantaneous temporal part" shall be assumed: x is an instantaneous temporal part of y at (...) instant t =df. x exists at, but only at, t; x is part of y at t; and x overlaps at t everything that is part of y at t. Much more could be and has been said about how perdurantism should be formulated. Though interesting in their own right, nothing of importance here turns on these matters of formulation. (shrink)

This thesis is about the conceptualization of persistence of physical, middle-sized objects within the theoretical framework of the revisionary ‘B-theory’ of time. According to the B-theory, time does not flow, but is an extended and inherently directed fourth dimension along which the history of the universe is ‘laid out’ once and for all. It is a widespread view among philosophers that if we accept the B-theory, the commonsensical ‘endurance theory’ of persistence will have to be rejected. The endurance theory says (...) that objects persist through time by being wholly present at distinct times as numerically the same entity. Instead of endurantism, it has been argued, we have to adopt either ‘perdurantism’ or the ‘stage theory’. Perdurantism is the theory that objects are four-dimensional ‘space-time worms’ persisting through time by having distinct temporal parts at distinct times. The stage theory says that objects are instantaneous temporal parts (stages) of space-time worms, persisting by having distinct temporal counterparts at distinct times. In the thesis, it is argued that no good arguments have been provided for the conclusion that we are obliged to drop the endurance theory by acceptance of the B-theory. This conclusion stands even if the endurance theory incorporates the claim that objects endure through intrinsic change. It is also shown that perdurantism and the stage theory come with unwelcome consequences. -/- Paper I demonstrates that the main arguments for the view that objects cannot endure in B-time intrinsically unchanged fail. Papers II and III do the same with respect to the traditional arguments against endurance through intrinsic change in B-time. Paper III also contains a detailed account of the semantics of the tenseless copula, which occurs frequently in the debate. The contention of Paper IV is that four-dimensional space-time worms, as traditionally understood, are not suited to take dispositional predicates. In Paper V, it is shown that the stage theory needs to introduce an overabundance of persistence-concepts, many of which will have to be simultaneously applicable to a single object (qua falling under a single sortal), in order for the theory to be consistent. The final article, Paper VI, investigates the sense in which persistence can, as is sometimes suggested, be a ‘conventional matter’. It also asks whether alleged cases of ‘conventional persistence’ create trouble for the endurance theory. It is argued that conventions can only enter at a trivial semantic level, and that the endurance theory is no more threatened by such conventions than are its rivals. (shrink)

It has been argued that the tenseless view of time is incompatible with endurantism. This has been disputed, perhaps most famously by Hugh Mellor and Peter Simons. They argue that things can endure in tenseless time, and indeed must endure if tenseless time is to contain change. In this paper I will point out some difficulties with Mellor’s and Simons’ claims that in tenseless time a particular can be ‘wholly present’ at various times, and therefore endure, as well as have (...) incompatible properties at those different times, and thereby change. In effect I argue that they do not resolve the charge that the tenseless view of time is incomatible with endurantism because the tenseless view does not allow anything to change temporal location and thereby come to be ‘wholly present’ at various times. (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)

Recently, Jim Stone has argued that counterpart theory is incompatible with the existence of temporal parts. I demonstrate that there is no such incompatibility.

This paper identifies problems with indexicalism and abverbialism about temporary intrinsic properties, and solves them by disentangling two senses in which a particular may possess a property simpliciter. The first sense is the one identified by adverbialists in which a particular possesses at all times the property as a matter of foundational metaphysical fact regardless of whether it is manifest. The second involves building on adverbialism to produce a semantics for property-manifestation according to which different members of a family of (...) second-order properties of the foundational property are relevant to property manifestation at different times. (shrink)

It is argued that medical science requires a classificatory system that (a) puts functions in the taxonomic center and (b) does justice ontologically to the difference between the processes which are the realizations of functions and the objects which are their bearers. We propose formulae for constructing such a system and describe some of its benefits. The arguments are general enough to be of interest to all the life sciences.

In this paper I consider an objection that friends of the Metaphysic of Temporal Parts (MTP) press against other solutions to the problem of temporary intrinsics and turn it against the MTP itself. I do not argue that the MTP must be false, nor do I argue that there are no arguments in favor of the MTP. Rather, the conclusion I draw is conditional: if the MTP provides an adequate response to the problem of temporary intrinsics, then the MTP provides (...) no reason to reject our commonsense view of the nature of material objects. (shrink)

Harold Noonan has recently argued (2003) that one of Lewis’s (1983: 76– 77) arguments for the view that objects persist by perduring is flawed. Lewis’s argument can be divided into two main sections, the first of which attempts to show that it is possible that there exists a world of temporal parts or stages, and the second, which attempts to show that our world is such a world. Noonan claims that there is a flaw in each of these two stages.We (...) argue to the contrary. (shrink)

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)

I argue that the conjunction of perdurantism (the view that objects are temporally extended) and universalism (the thesis that any old class of things has a mereological fusion) gives rise to undesired complications when combined with certain plausible assumptions concerning the semantics of tensed statements.

This paper focuses on the semantics of statements of the form ‘x is P at t’ vis-à-vis its metaphysical underpinnings. I begin by considering four main readings, corresponding to the four basic parsings of the temporal modifier ‘at t’: (1) at-t x is P, (2) x-at-t is P, (3) x is-at-t P, and (4) x is P-at-t. Each of these readings—which correspond to different metaphysical conceptions of the nature of temporal change—is found inadequate or otherwise problematic. In the second part (...) of the paper I therefore consider a fifth account whose advantages over (1)–(4), I argue, exceed its revisionary costs. This fifth account is based on a conception of objects as entia successiva held together by a nexus of temporal counterparthood and reads ‘x is P at t’ as ‘the t-counterpart of x is P’. (shrink)

I discuss the general form of arguments that profess to prove that the view that things endure in tensed time through causally produced change (the dynamic view) must be false because it involves contradictions. I argue that these arguments implicitly presuppose what has been called the temporal parity thesis, i.e. that all moments of time are equally existent and real, and that this thesis must be understood as the denial of the dynamic view. When this implicit premise is made explicit, (...) the arguments turn out to be either circular, they presuppose what they profess to prove, or mere demonstrations of the fact that the dynamic view is incompatible with its own negation. Furthermore, I discuss the metaphysical consequences of accepting the temporal parity thesis, arguing that it deprives us of the means to provide natural explanations to empirical phenomena. (shrink)

A brief introductory note to the Monist issue on "Temporal Parts", setting the background for the eight papers included in the rest of the issue (by Y. Balashov, B. Brogaard, K. Fine, M. Heller, R. LePoidevin, J. Parsons, P. M. Simons, and P. van Inwagen).