This paper identifies a new source of differences in religiosity: the type of future tense marking in language. We argue that the rewards and punishments that incentivize religious behaviour are more effective for speakers of languages without inflectional future tense. Consistent with this prediction, we show that speakers of languages without inflectional future tense are more likely to be religious and to take up the short-term costs associated with religiosity. What is likely to drive (...) this behaviour, according to our results, is the relatively greater appeal of the religious rewards to these individuals. Our analysis is based on within-country regressions comparing individuals with identical observable characteristics who speak a different language. (shrink)

In “The Open Future” (2021) Patrick Todd argues that the future is open, and that as a consequence all future contingents are false (as opposed to the more common view that they are neither true nor false). Very roughly, this latter claim is motivated by the idea that (a) presentism is true, and so future (and indeed past) things do not exist and (b) if future things do not exist, then the only thing that could (...) ground there being future tensed facts, and hence make those future tensed claims true, is the present and the laws of nature. But (c) the present and the laws of nature cannot ground there being future tensed facts because they do not necessitate there being any such fact. Hence future tensed claims are all false. Todd then goes on to present a semantics for his version of the open future on which all future contingents are false. In what follows we take up two strands of Todd’s view. First, we begin, in Section 2, by outlining Todd’s argument that future contingents are all false. We suggest that the considerations that Todd adduces for this conclusion do not support this being so. Then in Section 3 we consider the semantics that Todd offers, and argue that it yields implausible consequences. (shrink)

The chapter considers two semantic issues concerning will-sentences: Stalnaker’s Asymmetry and modal subordination in Karttunen-type discourses. The former points to a distinction between will and modal verbs, seeming to show that will does not license non-specific indefinites. The latter, conversely, suggests that will-sentences involve some kind of modality. To account for the data, the chapter proposes that will is semantically a tense, hence it doesn’t contribute a quantifier over modal alternatives; a modal feature, however, is introduced in the interpretation (...) of a will-sentence through a supervaluational strategy universally quantifying over possible futures. That this is not part of will’s lexical semantics is shown to have consequences that ultimately contribute to explain Stalnaker’s Asymmetry. Furthermore, that a modal quantification is present in the interpretation of a will-sentence is shown to imply the availability of modal subordination in Karttunen-type discourses. (shrink)

I attempt to set the stage for a constructive analysis of the nature and function of tensed belief as a distinct psychological type. After introducing tensed beliefs, I describe the philosophical issues that implicate them, including Prior’s “ thank goodness it’s over ” argument against the B-theory of time. I proceed to flesh out, and then argue against, two traditional treatments of tensed belief from the philosophy of time: the A-theoretic view, which starts from present facts or properties, and Hugh (...) Mellor's B-theoretic reply, which starts from the tenseless properties of tensed belief tokens. The explanatory failure of the former shows that, pace Prior, the existence of tensed attitudes does not favor the A-theory, while the failure of both shows that there are still explanatory gaps that we need to fill. I conclude by offering a working definition of tensed belief and the ideal methodology for filling out these explanatory gaps in future study. (shrink)

We direct different attitudes towards states of affairs depending on where in time those states of affairs are located. Call this the type asymmetry. The type asymmetry appears fitting. For instance, it seems fitting to feel guilt or regret only about states of affairs that are past, and anticipation only of states of affairs that are future. It has been argued that the type asymmetry could only be fitting if there are tensed facts, and hence that since it is (...) fitting, there are tensed facts. In this paper I argue that tensed facts are not necessary to ground the fittingness of the type asymmetry, and thus we have no reason, arising from the fittingness of the asymmetry, to posit such facts. I also argue for a stronger conclusion: even if these facts obtain they are no part of what grounds the fittingness of the type asymmetry. These facts are explanatorily redundant. (shrink)

Human beings seem to capture time and the temporal properties of events and things in thought by having beliefs usually expressed with statements using tense, or notions such as ‘now’, ‘past’ or ‘future’. Tensed beliefs like these seem indispensable for correct reasoning and timely action. For instance, my belief that my root canal is over seems inexpressible with a statement that does not use tense or a temporal indexical. However, the dominant view on the nature of time (...) is that it forms, with space, a four-dimensional continuum where time does not encompass private perspectives or an absolute, fixed present. This ‘tenseless’ theory of time encounters a challenge in integrating tensed belief, because it cannot easily explain what constitutes a tensed belief in a tenseless world and how such a belief works inside our cognitive network to bring about the actions it does. Providing such an account is the main goal of this dissertation. -/- I argue here that the correct way to proceed would be to utilize philosophical theories dealing with indexicality, as the puzzling features of tensed belief are shared with beliefs expressed by first-person or spatial indexicals. In chapters II and III I expand the dominant theories about indexicality (Lewis, Perry, Kaplan) and apply them to tensed belief. I show that each is in certain respects incomplete or inadequate. -/- My preferred account critiques the preceding theories as mis-attributing the indexicality involved to a fully conceptual element in the way people think about time. I argue that we should instead connect tensed belief to not fully conceptual elements thought. For support I turn to work in perceptual psychology that connects beliefs about space to perceptions of spatial features. In chapter IV I develop an analogous argument about temporal thought and discuss how mental representations involved in perceptions are constitutively related to the formation and preservation of tensed beliefs. Combining this story with a tenseless theory of time should give us a complete, metaphysically uncontroversial, account of the way a tensed belief functions in reasoning and produces timely action. (shrink)

Simple partial logic (=SPL) is, broadly speaking, an extensional logic which allows for the truth-value gap. First I give a system of propositional SPL by partializing classical logic, as well as extending it with several non-classical truth-functional operators. Second I show a way based on SPL to construct a system of tensed ontology, by representing tensed statements as two kinds of necessary statements in a linear model that consists of the present and future worlds. Finally I compare that way (...) with other two ways based on Łukasiewicz’s three-valued logic and branching temporal logic. (shrink)

The Eskimo language Kalaallisut (alias West Greenlandic) has traditionally been described as having a rich tense system, with three future tenses (Kleinschmidt 1851, Bergsland 1955, Fortescue 1984) and possibly four past tenses (Fortescue 1984). Recently however, Shaer (2003) has challenged these traditional claims, arguing that Kalaallisut is in fact tenseless.

This paper is about The Truthmaker Problem for Presentism. I spell out a solution to the problem that involves appealing to indeterministic laws of nature and branching semantics for past- and future-tensed sentences. Then I discuss a potential glitch for this solution, and propose a way to get around that glitch. Finally, I consider some likely objections to the view offered here, as well as replies to those objections.

Future-biased agents care not only about what experiences they have, but also when they have them. Many believe that A-theories of time justify future bias. Although presentism is an A-theory of time, some argue that it nevertheless negates the justification for future bias. Here, I claim that the alleged discrepancy between presentism and future bias is a special case of the cross-time relations problem. To resolve the discrepancy, I propose an account of future bias as (...) a preference for certain tensed truths properly relativized to the present. (shrink)

Provisional draft, pre-production copy of my book “The Modal Future” (forthcoming with Cambridge University Press).

Todd (2016) proposes an analysis of future-directed sentences, in particular sentences of the form 'will(φ)', that is based on the classic Russellian analysis of definite descriptions. Todd's analysis is supposed to vindicate the claim that the future is metaphysically open while retaining a simple Ockhamist semantics of future contingents and the principles of classical logic, i.e. bivalence and the law of excluded middle. Consequently, an open futurist can straightforwardly retain classical logic without appeal to supervaluations, determinacy operators, (...) or any further controversial semantical or metaphysical complication. In this paper, we will show that this quasi-Russellian analysis of 'will' both lacks linguistic motivation and faces a variety of significant problems. In particular, we show that the standard arguments for Russell's treatment of definite descriptions fail to apply to statements of the form 'will(φ)'. (shrink)

We show that five important elements of the ‘nomological package’— laws, counterfactuals, chances, dispositions, and counterfactuals—needn’t be a problem for the Growing-Block view. We begin with the framework given in Briggs and Forbes (in The real truth about the unreal future. Oxford studies in metaphysics. Oxford University Press, Oxford, 2012 ), and, taking laws as primitive, we show that the Growing-Block view has the resources to provide an account of possibility, and a natural semantics for non-backtracking causal counterfactuals. We (...) show how objective chances might ground a more fine-grained concept of feasibility, and furnished a places in the structure where causation and dispositions might fit. The Growing-Block view, thus understood, provides the resources to explain the close link between modality and tense, so that it predicts modal change as time passes. This account lets us capture not only what the future might hold for us, and also what might have been. (shrink)

In this essay I respond to three of the most forceful objections to the open view of the future. It is argued that a) open view advocates must deny bivalence; b) the open view offers no theodicy advantages over classical theism; and c) the open view can’t assure believers that God can work all things to the better. I argue that the first objection is premised on an inadequate assessment of future tensed propositions, the second is rooted in (...) an inadequate assessment of free will, and the third is grounded in an inadequate assessment of God’s intelligence. (shrink)

I give cases where the contrast between "if Shakespeare had not written Hamlet someone else would have" and "if Shakespeare did not write Hamlet and someone else did"is found in future tense sentences. This is often denied.

This note identifies and corrects some problems in developments of the thesis that predictive expressions, such as English "will", are modals. I contribute a new argument supporting Cariani and Santorio's recent claim that predictive expressions are non-quantificational modals. At the same time, I improve on their selectional semantics by fixing an important bug. Finally, I show that there are benefits to be reaped by integrating the selection semantics framework with standard ideas about the future orientation of modals.

The rationality of future bias figures crucially in various metaphysical and ethical arguments (Prior 1959; Parfit 1984; Fischer 2019). Recently, however, philosophers have raised several arguments to the effect that future bias is irrational (Dougherty 2011; Suhler and Callender 2012; Greene and Sullivan 2015). Particularly, Greene and Sullivan (2015) claim that future bias is irrational because future bias leads to two kinds of irrational planning behaviors in agents who also seek to avoid regret. In this paper, (...) I join others who have objected to Greene and Sullivan’s argument (Dorsey 2016; Tarsney 2017), but for significantly different reasons that put into question an unchallenged premise in the debate. These reasons are based on the relationship between the alleged irrational planning behaviors and certain features of regret that regret shares with future bias. First, regret is dynamic, involving preferences that change over time and in inconsistent ways. Second, regret comes in degrees, meaning that we can rank our potential regrets. Because regret has these features, I show that the future-biased agents in Greene and Sullivan’s cases do not need to act in irrational ways to rationally avoid regret. (shrink)

This paper concerns a puzzle about the interaction of epistemic modals and future tense. In cases of predictable forgetfulness, speakers cannot describe their future states of mind with epistemic modals under future tense, but promising theories of epistemic modals do not predict this. In §1, I outline the puzzle. In §2, I argue that it undermines a very general approach to epistemic modals that draws a tight connection between epistemic modality and evidence. In §3, I (...) defend the assumption that tense can indeed scope over epistemic modals. In §4, I outline a new way of determining the domain of quantification of epistemic modals: epistemic modals quantify over the worlds compatible with the information accumulated within a certain interval. Information loss can change which interval is relevant for determining the domain. In §5, I defend the view from some objections. In §6, I explore the connections between my view of epistemic modality and circumstantial modality. (shrink)

In this survey article, I discuss the variety of ways in which language allows us to talk about the future. Topics discussed include how the category of predictive expressions broadly understood relates to the syntactic category of tense; what it means to say that a language does not have tense; how predictiveness relates to modality; and finally technical issue concerning the scope of negation in a semantics that is capable of shifting evaluation towards the future.

Statements about the future are central in everyday conversation and reasoning. How should we understand their meaning? The received view among philosophers treats will as a tense: in ‘Cynthia will pass her exam’, will shifts the reference time forward. Linguists, however, have produced substantial evidence for the view that will is a modal, on a par with must and would. The different accounts are designed to satisfy different theoretical constraints, apparently pulling in opposite directions. We show that these (...) constraints are jointly satisfied by a novel modal account of will. On this account, will is a modal but doesn't work as a quantifier over worlds. Rather, the meaning of will involves a selection function similar to the one used by Stalnaker in his semantics for conditionals. The resulting theory yields a plausible semantics and logic for will and vindicates our intuitive views about the attitudes that rational agents should have towards future-directed contents. (shrink)

In De interpretatione 9, Aristotle argues against the fatalist view that if statements about future contingent singular events (e.g. ‘There will be a sea battle tomorrow,’ ‘There will not be a sea battle tomorrow’) are already true or false, then the events to which those statements refer will necessarily occur or necessarily not occur. Scholars have generally held that, to refute this argument, Aristotle allows that future contingent statements are exempt from either the principle of bivalence, or the (...) law of excluded middle. This paper offers a new interpretation of Aristotle’s refutation of fatalism. According to this interpretation, each member of a pair of contradictory future contingent statements, in virtue of expressing modal necessity, is simply false. (shrink)

One of the theories that have been produced in linguistics in the light of J. E. McTaggart’s influential essay “The Unreality of Time” (1908) is a critique of reality that may be attributed to the semantics of tenses in natural languages. This chapter from my book The Linguistic Picture of the World: Alice’s Adventures in Many Languages proposes an alternative approach to the semantics of time, not as a dubious product of linguists’ imagination, i.e. not as something that can easily (...) be discarded from the philosophy of language but rather as a firm category of human thinking. Particular emphasis is placed on the idea of time as it is expressed by the seemingly rather contradictory morphology of the past, present, and future. (shrink)

Explanations of the genuine openness of the future often appeal to objective indeterminacy. According to the received view, such indeterminacy is indeterminacy of certain future-tensed state of affairs that presently obtain. We shall call this view the weak indeterminate present, to distinguish it from the view we will defend in this paper, which we dub the strong indeterminate present. According to our view, unsettledness of the future is grounded on the present indeterminacy of some present-tensed state of (...) affairs. In order for an indeterminate present-tensed state of affairs to explain the unsettledness of a future-tensed state of affairs, there has to be a connection between the two. We argue that this connection can only be provided if we look at the internal structure of the relevant state of affairs. Finally, we will suggest that the best background theory to explain the connection are the so-called spontaneous collapse models of quantum mechanics. (shrink)

This paper identifies a new source that explains environmental behaviour: the presence of future tense marking in language. We predict that languages that grammatically mark the future affect speakers' intertemporal preferences and thereby reduce their willingness to address environmental problems. We first show that speakers of languages with future tense marking are less likely to adopt environmentally responsible behaviours and to support policies to prevent environmental damage. We then document that this effect holds across countries: (...) future tense marking is an important determinant of climate change policies and global environmental cooperation. The results suggest that there may be deep and surprising obstacles for attempts to address climate change. (shrink)

The paper by Fritz Hamm, Hans Kamp and Michiel van Lambalgen (in what follows abbreviated as ‘HKL’) is a very rich one. Not only does it contain a wealth of empirical and formal insights concerning the analysis of tense and aspect, planning and causality, and other phenomena, it also contains some penetrating remarks concerning the scope and method of semantic theory. It is the latter aspect of the paper that I want to make a few comments on in what (...) follows. (shrink)

Some people think that pastness, presentness and futurity (and their metric variants, such as being two days past) are genuine propeties of times and events. These putative properties are sometimes called “A properties” and the philosopers who believe in them are often called “A Theorists.” Other philosophers don’t believe in the reality of A properties, but instead say that talk that appears to be about such properties is really about “B relations” – two-place temporal relations like earlier than, simultaneous with, (...) and later than (together with their metric variants, like two days earlier than). The latter philosophers are often called “B Theorists,” and the debate between A Theorists and B Theorists has dominated the philosophy of time since 1908.1 The two views can be put this way. The A Theory: There are genuine, irreducible A properties; talk that appears to be about A properties is not analyzable in terms of B relations. (shrink)

Since the first lockdown in March 2020, time seems to have slowed to a continuous present tense. The Greek language has three words to express different experiences of time: aion, chronos and kairos. If aion is the boundless and limbo-like time of eternity, chronos represents chronological, sequential, and linear time. Kairos, however, signifies the rupture of ordinary time with the opportune moment, epiphany and redemption, revolution, and most broadly, crisis and emergency. This paper argues that the pandemic is impacting (...) how individuals perceive time in two ways: first, as a distortion of time in which individuals are caught between linear time (chronos) and rupture (kairos) invoking the state of emergency and second, as an extended present that blurs the passing of chronological time with its seeming eternity (aion). As a result of the perceived suspension of ordinary time, temporal understandings of the future are postponed, while the past hovers like a ghost over the present. (shrink)

The paper considers sentences in which “now” occurs in initial position and shows that the meaning they convey differs from the meaning of sentences that are otherwise identical except for “now” occurring in final position. We argue that the occurrence of “now” in initial position triggers a particular kind of modal reading for the sentence to which the adverb is prefixed. A general notion of modal forcing is proposed to provide a uniform account of this kind of reading. Armed with (...) this account, we offer a solution to two tense-modal puzzles, which have to do with fatalism and the possibility of a changing past. (shrink)

One of the most widely discussed philosophical issues is the problem of future contingents. Basically, the challenge is to create an adequate semantic theory of future-tensed sentences. Twardowski (1900) suggests that future contingent statements should be analyzed using the concept of probability. The aim of this paper is to show that (1) such an analysis is not appropriate and (2) that Twardowski’s main theses imply the Thin Red Line Theory. I discuss three potential arguments against my proposal (...) and sketch the connection with Schaffer’s Parallelism Thesis (2012). (shrink)

In this paper, we articulate a version of non-standard A-theory—which we call Flow Fragmentalism—in relation to its take on the issue of supervenience of truth on being. According to the Truth Supervenes on Being (TSB) Principle, the truth of past- and future-tensed propositions supervenes, respectively, on past and future facts. Since the standard presentist denies the existence of past and future entities and facts concerning them that do not obtain in the present, she seems to lack the (...) resources to accept both past and future-tensed truths and the TSB Principle. Contrariwise, positions in philosophy of time that accept an eternalist ontology (e.g., B-theory, moving spotlight, and Fine’s and Lipman’s versions of fragmentalism) allow for a “direct” supervenience base for past- and future-tensed truths. We argue that Flow Fragmentalism constitutes a middle ground, which retains most of the advantages of both views, and allows us to articulate a novel account of the passage of time. (shrink)

A fairly simple theory of the semantics of tense is obtained by combining three claims: (i) for any time t, a present-tense sentence `p' is either true or false at t; (ii) for any time t0 earlier than t, the future-tense sentence `It will be the case that p at t' is true at t0 if `p' is true at t, false otherwise; (iii) for any time t0 later than t, the past-tense sentence `It was (...) the case that p at t' is true at t0 if `p' is true at t, false otherwise. This theory, which has been called the theory of timeless truth, is often dismissed on the basis of its alleged incapacity to comply with indeterminism. Here, instead, it will be suggested that there is no reason to be dismissive. Section 1 provides some elucidations about the theory. Sections 2 and 3 explain how a foregone objection to it can be resisted. Sections 4 and 5 show that there is a plausible sense in which (i)-(iii) are compatible with indeterminism. Sections 6 and 7 dispel some misunderstandings that may lead to think that indeterminism is not vindicated in some important sense other than that outlined. (shrink)

Let us call non-presentist dynamism any view according to which (a) a single moment of time is objectively present and (b) which time is objectively present changes and (c) objectively non-present times exist, and at least some of these are occupied by objects, events, or properties. Non-presentist dynamism has an advantage over presentist dynamism—the view that only present objects, properties, and events exist, and that which objects, properties and events there are, changes—in the truthmaking arena. Presentists have trouble finding plausible (...) truthmakers for past (and future) tensed propositions, since no past, (or future) objects, properties, or events exist, which could make true said propositions. Hence presentists have to resort to one of two strategies. According to the first, nothing makes past (or future) tensed propositions true, though some are true nonetheless. For some class of propositions, the truth of said propositions does not in any way depend on ontology. This strategy rejects even the fairly weak requirement that for any proposition P, and worlds w and v, if P is true in w but not in v, then either something exists in v but not in w or else some n-tuple of things stands in some fundamental relation in v but not in w . Call this account No Truthmaker: -/- No Truthmaker: There are no truthmakers for past-tensed truths. -/- Embracing No Truthmaker is typically taken to be a cost of presentism. According to the second strategy, some presently existing thing makes true past-tensed truths. Advocates of this strategy embrace anti-aboutness truthmaking, the view that while all truths are grounded in being, the truth of a proposition need not grounded in the thing(s) the proposition is about. Since past things do not exist, past-tensed propositions are made true by something other than what they are about. Such presentists endorse some version of Present Record Truthmaking. (shrink)

In a previous issue of Philosophia Christi, Kirk MacGregor responded to an essay of mine in which I argued for a neo-Molinist account of open theism. The argument demonstrated how, given standard counterfactual semantics, one could derive an “open future square of opposition,” that is, a depiction of the logical relations that hold between future-tense statements from an open theistic standpoint. Conceding the validity of the argument, MacGregor nevertheless sought to deny its soundness by criticizing both its (...) conclusion and the Stalnaker-Lewis semantics on which the argument was based. In this paper, I argue that MacGregor’s reasons for rejecting the open future square, as well as his Molinist alternative to the Stalnaker-Lewis semantics, are uncompelling. (shrink)

It was once held to be a virtue of the growing block theory that it combines temporal dynamism with a straightforward account of in virtue of what past-tensed propositions are true, and an explanation for why some future-tensed propositions are not true (assuming they are not). This put the growing block theory ahead of its principal dynamist rival: presentism. Recently, new growing block theorists have suggested that what makes true, past-tensed propositions, is not the same kind of thing as (...) what makes true, present-tensed propositions. They have done so in an attempt to defuse a particular epistemic objection to their view. In this paper it is argued that the new growing block theorist faces a dilemma. The more unified a strategy is for responding to the epistemic objection, the more that strategy results in the new growing block model positing truthmakers that are similar to those posited by the presentist, which erodes the purported advantage of the growing block theory over presentism. On the other hand, versions of the new growing block theory that embrace disunified strategies are better able to differentiate themselves from presentism, but are unattractive because of their disunity. (shrink)

This paper introduces and discusses three models of future: a determinist model, a stochastic model, and the model of True Prophetic Knowledge. All three models coexist in natural languages and are represented both in their grammatical systems and in the text-building discourse strategies speakers and authors apply to.

Presentists face a familiar problem. If only present objects exist, then what 'makes true' our true claims about the past? According to Ross Cameron, the 'truth-makers' for past and future tensed propositions are presently instantiated Temporal Distributional Properties. We present an argument against Cameron's view. There are two ways that we might understand the term 'distribute' as it appears. On one reading, the resulting properties are not up to the task of playing the truth-maker role; on the other, the (...) properties are incompatible with presentism. (shrink)

Presentists hold that only present things exist. But we all, presentists included, utter sentences that appear to involve quantification over non-present objects, and so we all, presentists included, seem to commit ourselves to such objects. Equally, we all, presentists included, take utterances of many past-tensed (and some future-tensed) sentences to be true. But if no past or future things exist, it’s hard to see how there can be anything that those utterances are about, which makes them true. This (...) paper presents a hitherto unexplored response to both problems: pretence fictionalism about the non-present. This view combines semantic factualism with psychological non-cognitivism. Sentences that appear to quantify over the non-present have propositional content and (almost all of) those propositions are false because the thing they are about—the non-present—does not exist. Nevertheless when we utter such sentences we don’t thereby utter something false. Our utterances do not report the belief that the propositional content of the sentence uttered is true; rather, they express a non-cognitive attitude towards that content: namely an attitude of pretence. Hence by thinking various thoughts, and uttering various sentences we are, collectively, pretending as though things were (or will be) thus and so. (shrink)

We construct a presentist semantics on which there are no truth-makers for past and future tensed statements. The semantics is not an expressivist or projectivist one, and is not susceptible to the semantical difficulties that confront such theories. We discuss how the approach handles some standard concerns with presentism.

In this paper we critically review Correia’s and Rosenkranz’s Nothing to Come. A Defence of the Growing Block Theory of Time, published by Springer in 2018. By taking into account the essential reliance of the book on tense logic, we bring out the existence of a conflict between their logical axioms, that presuppose truth bivalence even for statements concerning future contingents, and the principle of groundedness that they also advocate. According to this principle, a proposition Q is now (...) groundedly true as long as sometimes in the future it will be the case that there exists something that makes Q true. However, if the events that occur in 2060 do not exist unrestrictedly (for us, here in 2021), what, in reality, can possibly ground the truth (or falsity) of Q? In the second part of the paper, we concentrate on some conceptual difficulties raised by their brilliant attempt to adapt the growing block view of reality to a relativistic setting, based on what they call bow-tie presentism, according to which for each spacetime point s only s plus the spacelike-related region with respect to s exists. By extending temporal logic into a relativity-friendly spatiotemporal logic, we conclude by noting that Correia and Rosenkranz’s Nothing to Come makes very important strides in showing that there are technical ways to develop the growing block of reality into an ontology that coheres with relativity theories perfectly well, while retaining most of the distinctive content of classical growing block theory. (shrink)

Logic has sometimes been seen as an alternative to metaphysics and to speculation. In this paper it is argued that a different story should be told when it comes to temporal logic and tense-logic in particular. A. N. Prior’s first formulation of tense logic was mainly established in order to qualify the discussion of certain metaphysical and conceptual problems. Although temporal logic has now been developed in various abstract and rather technical ways, it may still serve as a (...) great help for anyone who wants to clarify the discussion of important existential questions like the nature of time, determinism, future contingency or freedom of choice. (shrink)

Much debate in contemporary metaphysics of time has centred on whether or not tense is essential to the understanding of a temporal reality. The rival positions in this debate are associated with two very different pictures of the relationship between time and existence. Those who argue for the dispensability of tense see the phenomenon of tense as an epistemological accretion which infects our perception of the world but is in no way essential to a complete description of (...) reality. With respect to existence, things past and future are supposed to be on an equal footing with things present. Thus the Quinean ‘time slice’ ontology, which sees the world as a four-dimensional entity in space-time, repudiates any ontological significance to the differences between past, present and future. For the Quinean, what differences we see between past, present and future existents pertain to our limited mode of access to reality. In a perception which grasped the world as it really is tense differences would have no place. In this respect the Quinean position resembles Spinoza's claim in the Ethics that in so far as the mind conceives a thing under the dictates of reason it is affected equally, whether the idea be of a thing future, past or present. (shrink)

The aim of this paper is to argue that the adoption of an unrestricted principle of bivalence is compatible with a metaphysics that (i) denies that the future is real, (ii) adopts nomological indeterminism, and (iii) exploits a branching structure to provide a semantics for future contingent claims. To this end, we elaborate what we call Flow Fragmentalism, a view inspired by Kit Fine (2005)’s non-standard tense realism, according to which reality is divided up into maximally coherent (...) collections of tensed facts. In this way, we show how to reconcile a genuinely A-theoretic branching-time model with the idea that there is a branch corresponding to the thin red line, that is, the branch that will turn out to be the actual future history of the world. (shrink)

In this chapter I argue that there can be no mental representation of objective ‘tensed’ features of reality of the kind that might be thought to occur when we experience time passing or think of times as past, present or future, whether or not such features are part of mind-independent reality. This, I hold, has important consequences for metaphysics; but (as will be most relevant to this volume) it is also likely to have important consequences for a correct semantics (...) for tense. In a nutshell, no correct semantics for tense can treat what philosophers call ‘A-properties’ (such as real pastness, presentness or futurity) as semantic values. (shrink)

This paper outlines a formal account of tensed sentences that is consistent with Ockhamism, a view according to which future contingents are either true or false. The account outlined substantively differs from the attempts that have been made so far to provide a formal apparatus for such a view in terms of some expressly modified version of branching time semantics. The system on which it is based is the simplest quantified modal logic.

Aquinas’ theory of being has received a growing amount of attention from contemporary scholars, both from a historic and a philosophical point of view. An important source of this attention is Geach’s seminal Form and Existence. In it, Geach argues that Aquinas subscribes to a tensed notion of existence and a theory of time according to which past and future entities do not exist in act. Subsequent commentators, such as Kenny in his Aquinas on Being, have agreed with Geach (...) on both points. In this paper, I argue that in several passages of his corpus, most notably those in which he is concerned with God’s knowledge of future contingents, Aquinas implicitly subscribes to a theory of being and time according to which: past and future entities are attributed existence in act, there is theoretical need for introducing a tenseless notion of existence. (shrink)

K denotes both the knowledge predicate satisfied by every currently known theorem and the finite set of all currently known theorems. The set K is time-dependent, publicly available, and contains theorems both from formal and constructive mathematics. Any theorem of any mathematician from past or present forever belongs to K. Mathematical statements with known constructive proofs exist in K separately and form the set K_c⊆K. We assume that mathematical sets are atemporal entities. They exist formally in ZFC theory although their (...) properties can be time-dependent (when they depend on K) or informal. The true statement "K is non-empty" is outside K forever because K is not a formal set. Paul Cohen proved in 1963 that the equality 2^{\aleph_0}=\aleph_1 is independent of ZFC. Before 1963, the statement "There is a known constructively defined integer n⩾1 such that 2^{\aleph_0}=\aleph_n" was outside K. Since 1963, this statement is outside K forever. The true statement "There exists a set X⊆{1,...,49} such that card(X)=6 and X never occurred as the winning six numbers in the Polish Lotto lottery" refers to the current non-mathematical knowledge and is outside K forever. In Martin-Löf's terminology, every currently known theorem is actually true whereas every theorem (known or unknown) is potentially true. Actual truth is knowledge dependent and tensed. Potential truth is knowledge independent and tenseless. Algorithms always terminate. We explain the distinction between algorithms whose existence is provable in ZFC and constructively defined algorithms which are currently known. By using this distinction, we obtain non-trivially true statements on decidable sets X⊆N that belong to constructive and informal mathematics and refer to the current mathematical knowledge on X. For every such statement, its truth concerning the current mathematical knowledge is implied by a true statement of the form: (the conjunction of i conditions of the form α∈K)∧(the conjunction of j conditions of the form β∉K)∧(the conjunction of k conditions of the form γ∈K_c)∧(the conjunction of l conditions of the form δ∉K_c), where i,j,k,l∈N and α,β,γ,δ are mathematical statements. In constructive mathematics and the traditional Brouwerian intuitionism, the truth of a mathematical statement means that we know a constructive proof. Therefore, the truth of a mathematical statement depends on time, where the statement is formally stated in the classical mathematics without the predicate K. In this article, mathematical statements on decidable sets X⊆N refer to time because they refer to the current mathematical knowledge on X. They cannot be formally stated in the classical mathematics without the predicate K and their logical values may change in time. For a set X⊆N whose infiniteness is false or unproven, we define which elements of X are classified as known. No known set X⊆N satisfies Conditions (1)-(4) and is widely known in number theory or naturally defined, where this term has only informal meaning. (1) A known algorithm with no input returns an integer n satisfying card(X)<ω ⇒ X⊆(-∞,n]. (2) A known algorithm for every k∈N decides whether or not k∈X. (3) For every known algorithm A with no input, the statement "A returns the logical value of the statement card(X)=ω" is outside K. (4) There are many elements of X and it is conjectured, though so far unproven, that X is infinite. (5) X is naturally defined. The infiniteness of X is false or unproven. X has the simplest definition among known sets Y⊆N with the same set of known elements. No set X⊆N will satisfy Conditions (1)-(4) forever, if for every algorithm with no input, at some future day, a computer will be able to execute this algorithm in 1 second or less. The physical limits of computation disprove the assumption of the above statement. We prove that the set X={n∈N: the interval [-1,n] contains more than 29.5+(11!/(3n+1))∙sin(n) primes of the form k!+1} satisfies Conditions (1)-(5) except the requirement that X is naturally defined. We present a table that shows satisfiable conjunctions of the form #(Condition1)∧(Condition 2)∧#(Condition 3)∧(Condition 4)∧#(Condition 5), where # denotes the negation ¬ or the absence of any symbol. We prove that there exists a naturally defined set C⊆N which satisfies the following conditions (6)-(11). (6) A known and simple algorithm for every k∈N decides whether or not k∈C. (7) For every known algorithm A with no input, the statement "A returns the logical value of the statement card(C)=ω" is outside K. (8) For every known algorithm A with no input, the statement "A returns the logical value of the statement card(N\C)=ω" is outside K. (9) It is conjectured, though so far unproven, that C is infinite. (10) For every known algorithm A with no input, the statement "A returns an integer n satisfying card(C)<ω ⇒ C⊆(-∞,n]" is outside K. (11) For every known algorithm A with no input, the statement "A returns an integer m satisfying card(N\C)<ω ⇒ N\C⊆(-∞,m]" is outside K. The set C={k∈N: 2^{2^k}+1 is composite} is naturally defined and satisfies conditions (6)-(11). (shrink)

We defend the thesis that every necessarily true proposition is always true. Since not every proposition that is always true is necessarily true, our thesis is at odds with theories of modality and time, such as those of Kit Fine and David Kaplan, which posit a fundamental symmetry between modal and tense operators. According to such theories, just as it is a contingent matter what is true at a given time, it is likewise a temporary matter what is true (...) at a given possible world; so a proposition that is now true at all worlds, and thus necessarily true, may yet at some past or future time be false in the actual world, and thus not always true. We reconstruct and criticize several lines of argument in favor of this picture, and then argue against the picture on the grounds that it is inconsistent with certain sorts of contingency in the structure of time. (shrink)

In this paper I argue that the debate between the so-called “presentists” – according to whom only the present is real – and the “eternalists”, according to whom past present and future are equally real, has no ontological significance. In particular, once we carefully distinguish between a tensed and a tenseless sense of existence, it is difficult to find a single ontological claim on which the two parties could disagree. Since the choice of using a tense or a (...) tenseless language is dictated by purely pragmatic reasons, we should abstain from bringing to bear pseudo-debates generated by the “tensed” or the “tenseless theories” of time on the question of understanding the philosophical implications of contemporary spacetime theories, or notions like becoming, change and persistence in time. (shrink)

This book surveys the ways in which languages of different types refer to past, present, and future events and how these referents are related to the knowledge and attitudes of discourse participants. The book is the culmination of fifteen years of research by the author. Four major language types are examined in-depth: tense-based English, tense-aspect-based Polish, aspect-based Chinese, and mood-based Kalaallisut. Each contributes to a series of logical representation languages, which together define a common logical language that (...) is argued to underlie all language types. The four types differ in whether they choose to grammaticalize discourse reference to times (tense), events (aspect), and/or attitudes (mood), and how non-grammaticalized elements are inferred. The common logical language is a dynamic update logic, building on DRT and Centering Theory, but with a novel architecture—e.g. the distinction between focal vs. peripheral attention plays a key role, parallel to focal vs. peripheral vision. (shrink)

ABSTRACTThe ability of providing an adequate supervenience base for tensed truths may seem to be one of the main theoretical advantages of both the growing-block and the moving-spotlight theory of time over presentism. However, in this paper I will argue that some propositions appear to be as problematic for growing-block theorists as past-directed propositions are for presentists, namely propositions stating that nothing will be the case in the future. Furthermore, I will show that the moving-spotlight theory can adequately address (...) all the main supervenience challenges that can be levelled against A-theories of time. I will, thus, conclude that, at least as far as the supervenience principle is concerned, the moving-spotlight theory should be preferred over both presentism and the growing-block theory. (shrink)