This monograph is a detailed study, and systematic defence, of the Growing Block Theory of time (GBT), first conceived by C.D. Broad. The book offers a coherent, logically perspicuous and ideologically lean formulation of GBT, defends it against the most notorious objections to be found in the extant philosophical literature, and shows how it can be derived from a more general theory, consistent with relativistic spacetime, on the pre-relativistic assumption of an absolute and total temporal order. -/- The authors devise (...) axiomatizations of GBT and its competitors which, against the backdrop of a shared quantified tense logic, significantly improves the prospects of their comparative assessment. Importantly, neither of these axiomatizations involves commitment to properties of presentness, pastness or futurity. The authors proceed to address, and defuse, a number of objections that have been marshaled against GBT, including the so-called epistemic objection according to which the theory invites skepticism about our temporal location. The challenge posed by relativistic physics is met head-on, by replacing claims about temporal variation by claims about variation across spacetime. -/- The book aims to achieve the greatest possible rigor. The background logic is set out in detail, as are the principles governing the notions of precedence and temporal location. The authors likewise devise a novel spacetime logic suited for the articulation, and comparative assessment, of relativistic theories of time. The book comes with three technical appendices which include soundness and completeness proofs for the systems corresponding to GBT and its competitors, in both their pre-relativistic and relativistic forms. -/- The book is primarily directed at researchers and graduate students working on the philosophy of time or temporal logic, but is of interest to metaphysicians and philosophical logicians more generally. (shrink)

In two recent papers Button (Analysis 66:130–135, 2006, Analysis 67:325–332, 2007) has developed a particular view of time that he calls no-futurism. He defends his no-futurism against a sceptical problem that has been raised (by e.g. Bourne in Aust J Phil 80:359–371, 2002) for a similar growing block view—that of Tooley (Time, tense, and causation, Clarendon Press, Oxford, 1997). If Button is right, then we have an important third option available to us: a half-way house between presentism and eternalism. If, (...) on the other hand, the criticism of Tooley-style Growing-Block views holds, then we are left with just presentism and eternalism. In this paper I show that Button’s defence fails. (shrink)

In this paper I argue that the growing block theory of time has rather surprising, and hitherto unexplored, explanatory benefits when it comes to certain enduring philosophical puzzles concerning death. In particular, I claim the growing block theorist has readily available and convincing answers to the following questions: Why is it an evil to be dead but not an evil to be not yet born? How can death be an evil for the dead if they no longer exist to suffer (...) it? When is death an evil for the one who dies? The ability to give such answers is a significant, but by no means decisive, advantage for the growing block view of time. (shrink)

Perdurantists hold that we persons—just like other ordinary objects—persist by perduring, by having temporal parts, or stages, located over time. Perdurantists also standardly endorse the B-theory of time. And, in light of this endorsement, they typically characterize our tensed beliefs as self-ascriptions of properties, made not by us but by our stages. For instance, for me to believe that Angela Merkel is currently the chancellor of Germany is for my now-located stage to self-ascribe the property of being simultaneous with Merkel’s (...) chancellorship. The problem with this way of understanding tensed belief is that it undermines—if not outright contradicts—the perdurantist’s best options for resisting the Too Many Thinkers objection. In what follows, I show why this is. I then consider what I take to be the perdurantist’s most promising alternative account of tensed belief. I argue that this alternative either leaves perdurantists no better off with respect to the Too Many Thinkers objection or, instead, leaves them vulnerable to another objection, one that they would otherwise have no problem resisting. (shrink)

A temporal levels structure for temporal metaphysics is outlined and employed to convey a dilemma threatening the temporal collapse of Growing-Block Theories to their meta-temporal level. The outline further explains how Presentism occupies a privileged position in that temporal levels structure. Moreover, that dilemma relies crucially on the acceptance of productive causation as explaining additions to the growing block, for which it is argued any reasonable growing-block theory should incorporate. The dilemma’s first horn considers growing-block theories where productive causes are (...) only so when present; the second, growing-block theories where productive causes continue being so when past. Either way, growing-block theory collapses into Accruing-Present Theory: whereby all entities survive into succeeding present “blocks” of existents. It is argued, the presentness of surviving entities undermines their intended theoretical role, undercutting motivations for believing accruing-present theses. Ultimately, I recommend rejection of both growing-block and accruing-present theses based on these explanatory inadequacies. (shrink)

Presentism states that everything is present. Crucial to our understanding of this thesis is how we interpret the ‘is’. Recently, several philosophers have claimed that on any interpretation presentism comes out as either trivially true or manifestly false. Yet, presentism is meant to be a substantive and interesting thesis. I outline in detail the nature of the problem and the standard interpretative options. After unfavourably assessing several popular responses in the literature, I offer an alternative interpretation that provides the desired (...) result. This interpretation is then used to clarify the distinction between ‘real change’ from mere variation and temporal relativisation. Reflecting on my solution, I try to diagnose the source of confusion over these issues. Then, building upon Fine’s distinction between ontic and factive presentism, I elucidate what the presentist thesis specifically concerns and how best to formalise it. In the process I distinguish a weak and strong version of the presentist thesis. Finally, I end by drawing out some limitations of the paper. (shrink)

Growing Block theorists are committed, roughly, to two theses: that past and present events exist and that future events do not, and that the present is dynamic and constantly changing. These two theses support a picture of the universe as growing, gaining in more and more things and events, as these recede into the past; but the two theses do not specify how the growth of the block is to be understood ; what status the past is supposed to have (...) compared to the present ; and what should be taken to be the fundamental constituents of the spatio-temporal reality. In my paper I argue that getting clearer on these three questions—Q1, Q2, and Q3—will give us very different metaphysical pictures. I distinguish between three variants of the growing block theory: the Fourdimensional Growing Block which goes back to C.D. Broad; the Dead Past Growing Block which is currently defended by Forrest and Forbes; and the Growing Events theory, which draws on some of Whitehead’s ideas on processes. I flesh out each of these variants of the GB view, examine the most urgent challenges to their respective metaphysical pictures, and offer suggestions as to how these challenges can be positively addressed. (shrink)

Some theories in the philosophy of time combine a commitment to the existence of non-present regions of spacetime with the view that there is a perspective-independent present time. We call such theories 4D A-theories. There is a well-known objection to 4D A-theories, as follows: 4D A-theories entail that the vast majority of subjects across time believe falsely that they are present. But if the vast majority of subjects across time believe falsely that they are present, we do not know that (...) we are present. We call this the Epistemic Objection to 4D A-theories. In this paper we do two things: first, we describe and assess a number of different versions of the Epistemic Objection. We argue that there is only one version of the objection—the version due to Russell that we call the Safety Argument—that does not rely on implausible epistemic principles which entail radical scepticism. Second, we raise objections to the main strategies adopted by 4D A-theorists in response to the Safety Argument. We conclude that the Epistemic Objection—in the form of the Safety Argument—remains a threat to 4D A-theories. (shrink)

Tallant (2007) has challenged my recent defence of no-futurism (Button 2006), but he does not discuss the key to that defence: that no-futurism's primitive relation 'x is real-as-of y' is not symmetric. I therefore answer Tallant's challenge in the same way as I originally defended no-futurism. I also clarify no-futurism by rejecting a common mis-characterisation of the growing-block theorist. By supplying a semantics for no-futurists, I demonstrate that no-futurism faces no sceptical challenges. I conclude by considering the problem of how (...) to interpret the relation 'x is real-as-of y'. -/- (NB: A correction to this article appears in Analysis 68.1.). (shrink)