Sven Rosenkranz

In this chapter we offer novel characterisations of presentism and permanentism which, or so we argue, significantly improve upon extant accounts. In particular, we show that, given the availability of these characterisations, neither presentism nor dynamic permanentism needs to invoke any substantial notion of presentness. In Sect. 5.1 we rehearse T. Williamson’s misgivings about the use of the notion of presentness in attempts to articulate presentism. While Williamson takes these misgivings to be sufficient to discard presentism, in Sect. 5.2 we show that the view allows for its systematic reformulation solely in terms of tensed quantification, temporal operators and a predicate for times. In Sect. 5.3, after giving a characterisation of static permanentism and critically discussing R. Cameron’s recent account of the Moving Spotlight Theory, we offer an equally lean formulation of dynamic permanentism solely in terms of temporal operators and a tensed proposition true at one time only.

In this chapter we devise a spacetime logic and argue that temporaryism must give way to spatiotemporaryism, which latter construes variation in what exists as variation across spacetime. In Sect. 9.1 we argue that much of the rationale for thinking, in a prerelativistic setting, that what exists varies across time, should survive the finding that there is no absolute and total temporal order and rationalise the corresponding thought that what exists varies across spacetime. In Sect. 9.2 we introduce a spacetime-sensitive language and a spacetime logic with operators and relations defined over the fourfold causal structure of spacetime. In Sect. 9.3 and Sect 9.4 we use these tools to articulate and compare competing spatiotemporaryist ontologies and contrast them with spatiopermanentism according to which what exists does not vary across spacetime. In Sect. 9.5 we show which relativistic views can naturally be taken to correspond to which classical theories of time.

In this chapter we reconstruct the original version of the Growing Block Theory of time first advanced by C. D. Broad, highlight its shortcomings, and propose an improved version of the theory. We show that this improved version of the theory is superior to two more recent attempts to capture the idea of the growing block. In Sect. 4.1 we critically review central passages from Broad’s Scientific Thought, identify core principles that give substance to the image of a growing block, delimited by an edge of becoming beyond which nothing exists, and diagnose a number of problems with Broad’s account. In Sect. 4.2 we then present a neater version of the theory that still incorporates central ideas of Broad’s, yet avoids those problems. In Sect 4.3 we critically review the accounts respectively advanced by M. Tooley and T. Button and conclude that our version of the theory fares much better.

The anti-realist maintains that all thoughts that we may entertain are thoughts whose truth-values we can in principle come to recognise. The realist refuses to make any such claim about the limits of our thinking. The anti-realist purports to arrive at her position on the basis of considerations which relate to the manifestability of understanding, i.e. the idea that grasp of thoughts must be manifested in linguistic abilities. Thus she argues against the realist that this requirement cannot be met unless truth is understood not to extend beyond what we can know. Turning the tables, I argue that it is the antirealist who cannot vindicate her position on these grounds. Some thoughts are apt for objective truth; their truth cannot be equated with their current assertibility. Our grasp of such thoughts is not yet manifested in our ability to assert or deny sentences. Once we have identified patterns of linguistic usage which display our grasp of such thoughts however, it transpires that there is no reason either to believe that their truth-values can in principle be recognised.

Pragmatism in semantics is hampered by its proponents' tendency to tie understanding too closely to our mastery of epistemic practice. Both Brandom's inferentialist semantics and the anti-realist semantics championed by Dummett and Tennant amply illustrate this tendency. As a consequence, neither theory can successfully handle cases of the innocuously unknowable in which two sentences, though mutually consistent, nonetheless cannot be known to be true together. On Brandom's account, such sentences are treated as being mutually inconsistent after all. According to both Dummett's and Tennant's version of anti-realist semantics, we cannot know that there are any true sentences of this kind. Neither result is the least acceptable, whence either theory fails. The lesson to be learnt from this failure is that understanding should not be identified with the ability to reach warranted verdicts, but with the ability to think, where thinking is constitutively involved in, but nonetheless distinct from judging.

Realists claim that, amongst the statements weunderstand, there are some which are true, yetwhose truth potentially transcends the limits ofwhat we can recognize. Dummett and othershave argued that this realist thesis is incompatiblewith an account of understanding in termsof recognitional capacities. But careful analysis revealsthat this contention is mistaken. Thealleged incompatibility presupposes the truth of ametaphysical principle which cannot bevindicated on the basis of an account of understanding.Realists have independent reason toreject this metaphysical principle, as it leads to a collapseof more modest forms of realisminto more contentious ones. According to moderate realism,we neither know that there areactually recognition-transcendent truthsnor do we know taht there are none. Pending apositive case for the metaphysical principle, thisagnosticism is sufficient to warrant therealists' key thesis, viz. that there arepotentially recognition-transcendent truths. Thusrealism, in its more moderate guise, turns outto be the default position

This paper contributes to the current debate about radical scepticism and the structure of warrant. After a presentation of the standard version of the radical sceptic’s challenge, both in its barest and its more refined form, three anti-sceptical responses, and their respective commitments, are being identified: the Dogmatist response, the Conservativist response and the Dretskean response. It is then argued that both the Dretskean and the Conservativist are right that the anti-sceptical hypothesis cannot inherit any perceptual warrants from ordinary propositions about the environment—and so the Dogmatist response founders. However, if this is so Epistemic Closure lacks any clear rationale. There is therefore good reason to agree with both the Dretskean and the Dogmatist that perceptual warrants for ordinary propositions about the environment are enough in order for those propositions to enjoy a positive epistemic status—and so the Conservativist response founders. However, the Conservativist is nonetheless right that a warrant for the anti-sceptical hypothesis is needed. For contrary to what much of the recent literature suggests, the radical sceptic need not appeal to Epistemic Closure in order to cast doubt on the legitimacy of our beliefs in ordinary propositions about the environment: there is a Pyrrhonian version of scepticism that, though equally radical, is consistent with failure of Epistemic Closure. For this reason, the Dretskean response is insufficient to answer scepticism

We present a strategy to dissolve semantic paradoxes which proceeds from an explanation of why paradoxical sentences or their definitions are semantically defective. This explanation is compatible with the acceptability of impredicative definitions, self-referential sentences and semantically closed languages and leaves the status of the so-called truth-teller sentence unaffected. It is based on platitudes which encode innocuous constraints on successful definition and successful expression of propositional content. We show that the construction of liar paradoxes and of certain versions of Curry’s paradox rests on presuppositions that violate these innocuous constraints. Other versions of Curry’s paradox are shown not to be paradoxical at all once their presuppositions are made explicit. Part of what we say rehearses a proposal originally made by Laurence Goldstein in 1985. Like Goldstein we dispose of certain paradoxes by rejecting some of the premises from which they must be taken to proceed. However, we disagree with his more recent view that the premises to be rejected are neither true nor false.

According to metaphysical realism, there may be features of reality which we cannot conceive. If this thesis of cognitive closure is inconsistent, then, pace dialetheism, metaphysical realism proves incoherent. Recently, Graham Priest has revived Berkeley's idealist argument meant to show that cognitive closure is inconsistent. If cogent, this argument poses a threat to metaphysical realism. I argue that while Priest's reconstruction of Berkeley's argument may be seen to be paradoxical on one interpretation of ‘conceive’, that interpretation is not the intended one. On the intended interpretation, the argument fails and hence leaves metaphysical realism unassailed.

The current debate about peer disagreement has so far mainly focused on the question of whether peer disagreements provide genuine counterevidence to which we should respond by revising our credences. By contrast, comparatively little attention has been devoted to the question by which process, if any, such revision should be brought about. The standard assumption is that we update our credences by conditionalizing on the evidence that peer disagreements provide. In this paper, we argue that non-dogmatist views have good reasons to reject conditionalization. Instead, peer disagreements should be understood to call for a revision of our prior conditional probabilities: rather than merely adding to our original evidence, they pose a challenge to the thought that we have properly assessed the probative force of our original evidence

We conceive of many general terms we use as having satisfaction conditions that are objective in that the thought that something meets them neither entails nor is entailed by the thought that we are currently in a position in which we are ready, or warranted, to apply those terms to it. How do we manage to use a given term in such a way that it is thereby endowed, and conceived to be endowed, with satisfaction conditions that are objective in this sense? In the first half of the paper, I present a number of interrelated problems for some extant metasemantical accounts of how use determines objective satisfaction conditions. In the second half, I then propose a novel account that avoids all of these problems

In this paper, I present an argument for the revision of classical logic. The argument is based on the coherence of a metaethical position which is a species of agnosticism. According to this view, the debate between cognitivists and noncognitivists about moral discourse is unresolved. I argue that there is something at stake in this debate and so something one can coherently be agnostic about. The revisionary argument also draws on principles of epistemic closure. I make these principles explicit and indicate to what extent they can plausibly be assumed. The proposal to revise classical logic is likely to meet with some resistance: classical logic is too deeply entrenched in our reasoning. Before suggesting what to put in its place, I address and defuse four objections that might be levelled against the argument for its revision. I close with some general remarks on the force of arguments for logical reform

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.

In a series of recent papers, Crispin Wright has developed and defended an epistemic account of borderline cases which he calls ‘Liberalism’. If Verdict Exclusion is the claim that no polar verdict on borderline cases is knowledgeable, then Liberalism implies the view that Verdict Exclusion is itself nothing we are in a position to know. It is a matter of ongoing discussion what more Liberalism implies. In any case, Wright argues that Liberalism affords the means to account for the intuition that polar verdicts on borderline cases are equally permissible. Here I argue that Liberalism fails to deliver and that an account of borderline cases based on Verdict Exclusion fares much better when it comes to showing that our ordinary practice of reaching verdicts on borderline cases is fully legitimate: all it needs is a reassessment of the nature of the claims such verdicts express.

Many of our sources of knowledge only afford us knowledge that is inexact. When trying to see how tall something is, or to hear how far away something is, or to remember how long something lasted, we may come to know some facts about the approximate size, distance or duration of the thing in question but we don’t come to know exactly what its size, distance or duration is. In some such situations we also have some pointed knowledge of how inexact our knowledge is. That is, we can knowledgeably pinpoint some exact claims that we do not know. We show that standard models of inexact knowledge leave little or no room for such pointed knowledge. We devise alternative models that are not afflicted by this shortcoming.

In light of the paradox of knowability anti‐realists ought to revise their wholesale equation of truth and knowability, lest they be committed to the absurd conclusion that there are no truths that will never be known. The task accordingly becomes to identify the problematic statements the knowability of whose truth would force that conclusion and to restrict the equation in appropriate ways to all but the problematic statements. This restriction strategy was first implemented by Tennant. However, recently Williamson and Brogaard and Salerno have argued that the restriction strategy, and in particular Tennant's implementation of it, fail to avert the paradoxical conclusion. Here I argue, first, that the arguments devised by Brogaard and Salerno are ineffective because they rely on an invalid closure principle and, second, that while Williamson's argument may suffice to undermine Tennant's specific proposal, it fails to discredit the restriction strategy as such. To this end, I give a better characterisation of the problematic cases, which is immune to Williamson's criticism, and then show how the restricted anti‐realist thesis fares in light of the meaning‐theoretical arguments anti‐realists typically advance in support of their view

Ockhamism implies that future contingents may be true, their historical contingency notwithstanding. It is thus opposed to both the Peircean view according to which all future contingents are false, and Supervaluationist Indeterminism according to which all future contingents are neither true nor false. The paper seeks to defend Ockhamism against two charges: the charge that it cannot meet the requirement that truths be grounded in reality, and the charge that it proves incompatible with objective indeterminism about the future. In each case, the defence draws on the idea that certain truths are truths only courtesy of others and of what makes the latter true. After introduction of the Ockhamist view, its competitors and implications, a suitable definition of grounded truth is being devised that both is faithful to the spirit of the grounding-requirement and allows the Ockhamist to heed that requirement quite comfortably. Then two senses in which the future might be open are being introduced, indeterminacy as failure of predetermination by past and present facts, and indeterminacy as failure of entailment by past and present truths. It is argued that while openness in the former sense, but not in the latter sense, coheres with the Ockhamist view, it is only openness in the former sense that matters for objective indeterminism.

I argue that while admission of one's own fallibility rationally requires one's readiness to stand corrected in the light of future evidence, it need have no consequences for one's present degrees of belief. In particular, I argue that one's fallibility in a given area gives one no reason to forego assigning credence 1 to propositions belonging to that area. I can thus be seen to take issue with David Christensen's recent claim that our fallibility has far-reaching consequences for our account of rational belief and epistemic rationality. My arguments inter alia rely on the idea that in basing one's beliefs on one's evidence, one trusts both that one's evidence has the right pedigree and that one gets its probative force right, where such trust can rationally be invested without the need of any further evidence

In this chapter we explicate the challenge posed to classical theories of time by relativistic physics, and show that two recent attempts to reconcile such theories with Special and General Relativity founder. We conclude that a systematic revision of the classical theories is called for. In Sect. 8.1 we argue that the challenge is best conceived as threatening the intelligibility of the postulate, common to all classical theories, that there is an absolute and total temporal order. We show that C. Bourne’s appeal to primitive tenses is insufficient to avert the challenge. In Sect. 8.2 we scrutinize D. Zimmerman’s recent attempt to construe the postulated temporal order as being imposed by the contents of spacetime rather than its structure. We argue that this attempt fails to answer the challenge, and conclude in Sect. 8.3 that metaphysicians should move on and devise successor theories that no longer postulate such an order.

Within certain philosophical debates, most notably those concerning the limits of our knowledge, agnosticism seems a plausible, and potentially the right, stance to take. Yet, in order to qualify as a proper stance, and not just the refusal to adopt any, agnosticism must be shown to be in opposition to both endorsement and denial and to be answerable to future evidence. This paper explicates and defends the thesis that agnosticism may indeed define such a third stance that is weaker than scepticism and hence offers a genuine alternative to realism and anti-realism about our cognitive limits.

Realism about tense is the view that the contrast between what was, what is and what will be the case is real, and not merely a projection of our ways of thinking. Does this view entail realism about temporal passage, namely the view that time really passes, in the same sense of ‘real’? We argue that the answer is affirmative for many versions of tense realism, and indeed for all sensible versions. We thereby address an important conceptual issue regarding these two forms of realism and rebut recent claims that tense realism is compatible with anti-realism about temporal passage.

Temporaryism—the view that not always everything always exists—comes in two main versions: presentism and expansionism (aka the growing block theory of time). Both versions of the view are commonly formulated using the notion of being present, which we, among others, find problematic. Expansionism is also sometimes accused of requiring extraordinary conceptual tools for its formulation. In this paper, we put forward systematic characterizations of presentism and expansionism which involve neither the notion of being present nor unfamiliar conceptual tools. These characterizations are full-blown logics, each logic comprising an axiomatic proof system and an intuitive semantics with respect to which the system is both sound and complete.