Stage Theory

Time and modality show remarkable similarities. Each of the most discussed theories in philosophy of time finds an analogous counterpart in modal metaphysics, suggesting that the parallel between the two notions is metaphysically deep. This chapter offers a brief overview of their analogies. Section 1 addresses the analogy between presentism and actualism. Section 2 explores the analogy between non-presentist theories and possibilism. Section 3 discusses the analogy between temporal and modal persistence.

To solve the ship of Theseus puzzle, you need several keys. First of all, we need to fix the application condition of the physical object—it is a vehicle or an object memory; then the identification criterion—the ship was named The Ship of Theseus when he boarded it; and finally the re-application criterion—a ship (or an object memory) when it is the same ship (or object memory) as before. The degree of change from the previous and reference states must be given. (...) The identity of physical objects over time can be expressed by the uniformity of the time slices of the persisting objects. Uniformity exists from the point of view that these instances are temporal cross-sections of the same object; they may differ in other characteristics; there are no general a priori principles independent of practice. The definition of identity is decided by the community of language users. The two states of an object are the same as long as the rate of change of state remains below the threshold value relative to the reference. The two states of an object are similar as long as the change is below a threshold value with respect to each other. Similarity can be described by a tolerance relationship. The mathematical relation describing uniformity is formally an equivalence relation, just as the relation describing identity is an equivalence relation. A physical object is identical to an equivalence class when we speak of the object's identity over time and identical or not identical to an element of the equivalence class when we speak of the object having changed or ceased to exist. (shrink)

Four-dimensionalists think that we persist over time by having different temporal parts at each of the times at which we exist. Eternalists think that all times are equally real. Deprivationists think that death is an evil for the one who dies because it deprives them of something. I argue that four-dimensionalist eternalism, conjoined with a standard deprivationist account of the evil of death, has surprising implications for what we should think about the evil of death. In particular, given these assumptions, (...) we will lack any grounds for thinking that death is an evil for some individuals for whom we would antecedently expect it to be an evil, namely those individuals who cease to exist at death. Alternatively, we will only have some grounds for thinking that death is an evil for certain individuals for whom we might antecedently be more inclined to think death is not an evil, namely those individuals who survive death, in the sense that they continue to exist after death. (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)

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 fact that names refer to individuals is a basic assumption of referentialist theories of proper names, but the notion of individual is systematically taken for granted in those theories. The present paper follows that basic assumption, but proposes to analyze the notion of individual prior to the development of any semantic theory of proper names. It will be argued that a particular perdurantist conception of individual should be adopted, which distinguishes the notions of individual occurrence, and individual simpliciter. A (...) new theory of proper names (called the cluster-occurrence theory) is presented, according to which names refer to individual occurrences, and the intension associated with a name is an individual simpliciter. The merits of the new theory are then assessed in confrontation with its standard rival accounts. (shrink)

Given the assertion of a relation between two types, like: “Epidermis has part some Keratinocyte”, we define silent change as any kind of change of the instance-relata of the relation in question that does not change the truth-value of the respective type-level assertion. Such assertions are notoriously difficult to model in OWL 2. To address this problem, we distinguish different modes of type-level relatedness giving rise to this problem and describe a conservative extension to the BFO top-level ontology that allows (...) expressing these modes. (shrink)

In this article, I am interested in four versions of what is often referred to as "the Humphrey objection". This objection was initially raised by Kripke against Lewis's modal counterpart theory, so this is where I will start the discussion. As we will see, there is a perfectly good answer to the objection. I will then examine other places where a similar objection can be raised: it can arise in the case of temporal counterpart theory (in fact, it can arise (...) in the case of all kinds of counterpart theories, independently on modal realism), and a very similar worry can also arise against modal realism itself or against an ersatzist theory of possible worlds itself. For similar reasons, in similar situations, a similar objection will arise. What is interesting is that it is not the case that a similar response can be given in all of these similar cases. So, in the end, we will see what dissimilarities there are and how and why they are relevant. In particular, we will see the differences there are between alethic modalities and temporal modalities. In the case of alethic modalities (metaphysical necessity and possibility), the objection can be answered by appealing to the notion of representation, while this does not work very well in the case of temporal modalities. (shrink)

In this paper, I tackle the problem of diachronic identity. Far from providing a criterion for identity over time, the aim of this work is to understand if this issue pertains to ontology, conceived as that part of philosophy that tries to answer the question about what entities exist, or metaphysics, conceived as that part of philosophy that tries to explain, of those entities, what they are. On the face of it, only metaphysics has the task to solve this problem, (...) but I argue that this is false. Through the analysis of different theories concerning identity through time, I show how both ontology and metaphysics are concerned with the problem of diachronic identity, and how actually ontology turns out to be primary in solving the problem. (shrink)

This paper aims at investigating the influence of biblical concepts on Søren Kierkegaard’s theory of stages. Starting with a terminological analysis on the term ‘stage’, in which several biblical references resound, I shed light on the typological structure which lies at the core of the three spheres of existence according to Kierkegaard: the aesthetic one (“first immediacy”), the ethical one (“infinite requirement”), and the religious one (“fulfillment”). Eventually, I show that a study of Kierkegaard’s biblical background can help to understand (...) the paradoxical transition from each stage to next one, which can be conceived as the ontological passage from not-being to being (creation/Adam), from being to not being (annihilating power of the law/Moses), and from not being to being again (new creation/Christ). (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)

I introduce a puzzle about contact and de re temporal predication in relativistic spacetime. In particular, I describe an apparent counterexample to the following principle, roughly stated: if B is never in a position to say ‘I was touching A, I am touching A, and I will be touching A’, then (time travel aside) A is never in a position to say ‘I was touching B, I am touching B, and I will be touching B’. In the case I present, (...) the most that A is ever in a position to say is: ‘I am now touching B, but this is the only instant at which this will ever be so’. B, on the other hand, can say: ‘I was formerly touching A, I am currently touching A, and I will in the future be touching A’. (And neither object is a time traveler.). (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)

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 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.

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)

Until recently, perdurantism has been considered to be incompatible with the presentist ontology of time. However, discussions about presentist theories of perdurance are now surfacing, one of the most prominent arguments for which being Berit Brogaard’s essay: “Presentist Four-Dimensionalism”. In this paper, I examine Brogaard’s argument in contrast to Ted Sider’s arguments for (an Eternalist theory of) the “Stage View”. I then argue for another (and, I think, novel) view of presentist perdurantism, which avoids the problematic consequences that Brogaard’s view (...) faces, and which also successfully solves philosophical puzzles without the difficulties that Sider’s view faces. This view, which I call “Stage View Presentism,” thus seems to be an appealing alternative for presentists who remain impartial to both the endurantist and the worm theories of persistence. (shrink)