This is my contribution to a symposium on Berit Brogaard's book "Transient Truths" in which I criticize her treatment of various linguistic phenomena related to tense.

This work aims to make tense logic a more robust tool for ontologists, philosophers, knowledge engineers and programmers by outlining a fusion of tense logic and ontology of time. In order to make tense logic better understandable, the central formal primitives of standard tense logic are derived as theorems from an informal and intuitive ontology of time. In order to make formulation of temporal propositions easier, temporal operators that were introduced by Georg Henrik von Wright (...) are developed, and mapped to the ontology of time. (shrink)

I argue that David Lewis is too quick to deny the presentist the right to employ span operators. There is no reason why the presentist could not help herself to both primitive tensed slice operators and primitive span operators. She would then have another device available to eliminate ambiguities and explain why sentences with embedded contradictions may nevertheless be true.

The Operator Argument against eternalism holds that having non-vacuous tense operators in the language is incompatible with the claim that every proposition has its truth-value eternally. Assuming that (1) there are non-vacuous tense operators, (2) tense operators operate on propositions and (3) tense operators which operate on eternal entities are vacuous, it may be argued that eternalism is false. In this paper, I examine the Operator Argument. The goal is threefold. First, I (...) want to present some aspects of the debate in a more elaborate way, especially those concerning formal matters. Secondly, I will argue that eternalism can escape the Operator Argument. There are two main strategies for handling the Operator Argument. The first one is based on replacing temporal operators with object-language quantifiers. The second rejects the identification of compositional semantic value with assertoric content. My third goal is to show that none of them is as good as the strategy that adopts Timestamp Semantics (Fritz in Philosl Stud 176:2933–2959, 2019). I am going to argue that the quantificational treatment of tenses is compatible with temporalism and that the arguments for rejecting the identification of compositional semantic value with assertoric content provide, in fact, a motivation for the temporalist position. At the end, I will develop Timestamp Semantics by providing a novel formalization of it, and defend it against three potential counter-arguments. (shrink)

Two of the main debates in philosophy of language concerning time and tense are the debate about the semantics of the tenses in the English language and the debate over whether propositions can be transiently true or false as opposed to always being eternally true or false. The latter quarrel is also known as the "temporalism–eternalism debate." Given standard semantics, the two debates are not logically independent, as we will see. Those who believe propositions are eternally true or false (...) needn’t treat the tenses as operators. Their opponents, on the other hand, appear to be committed to an operator theory of the tenses, given a standard semantic framework. In this chapter I will focus primarily on these two debates. (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)

Fine (2005, 2006) has presented a ‘trilemma’ concerning the tense-realist idea that reality is constituted by tensed facts. According to Fine, there are only three ways out of the trilemma, consisting in what he takes to be the three main families of tense-realism: ‘presentism’, ‘(external) relativism’, and ‘fragmentalism’. Importantly, although Fine characterises tense-realism as the thesis that reality is constituted (at least in part) by tensed facts, he explicitly claims that tense realists are not committed to (...) their fundamental existence. Recently, Correia and Rosenkranz (2011, 2012) have claimed that Fine’s tripartite map of tense realism is incomplete as it misses a fourth position they call ‘dynamic absolutism’. In this paper, I will argue that dynamic absolutists are committed to the irreducible existence of tensed facts and that, for this reason, they face a similar trilemma concerning the notion of fact-content. I will thus conclude that a generalised version of Fine’s trilemma, concerning both fact-constitution and fact-content, is indeed inescapable. (shrink)

It is a widely held view in philosophy that propositions perform a plethora of different theoretical roles. Amongst other things, they are believed to be the semantic values of sentences in contexts, the objects of attitudes, the contents of illocutionary acts, and the referents of that-clauses. This assumption is often combined with the claim that propositions have their truth-values eternally. In this paper I aim to show that these two assumptions are incompatible: propositions cannot both fulfill the mentioned roles and (...) be eternally true or false. Following Kaplan and Lewis’s Operator Argument, I argue that compositional semantic values of sentences in contexts do not correspond to eternal propositions. Thus, either we regard the non-eternal entities that in fact realize the semantic role of propositions as also fulfilling the remaining propositional roles, or we abandon the assumption that there is a unique realizer of all the roles. The Operator Argument has recently come under attack, mainly for its tense-logical assumptions. However, rejecting these assumptions is not a sufficient defense of the compatibility of the two claims, since the extensional alternative to the tense-logical framework does not allow us to universally retain eternal propositions as compositional semantic values of sentences either. (shrink)

There is a widespread assumption that B-theorists (according to whom there is nothing metaphysically special about the present moment in virtue of which it is present) should interpret the standard tense operators (‘it was the case that’, ‘it will be the case that’) as implicit quantifier-restrictors – so that, for example, an utterance at instant t of the sentence ‘It was the case that there are dinosaurs’ is true just in case there are dinosaurs located at some instant (...) t* earlier than t. However, it is easy to show that this interpretation of the tense operators creates serious problems for B-theorists when combined with certain other relatively uncontroversial B-theoretic assumptions. In this paper, I argue that the best way for B-theorists to respond to these problems is to treat the standard tense operators as redundant when the sentences in their scope are qualitative (i.e. not about any particular individuals). (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)

Transient Truths: An Essay in the Metaphysics of Propositions provides the first book-length exposition and defense of semantic temporalism, the view that propositions are contents or semantic values that can change their truth-values across time.

This article explores the role of second-order anger in the formation of resistant feminist space through the work of María Lugones and Sara Ahmed. I argue that this incommunicative form of anger can operate as a bridge between two senses of resistant spatiality in Lugones, connecting the hangout, which is a collective and transgressive space for alternative sense making, and the cocoon, which is a solitary and germinative space of tense internal transformation. By weaving connections with Ahmed’s concept of (...) feminist fragile sheltering, I demonstrate that the insulating character of second-order anger need not be equated with spatial solitude. Rather, given its orientation toward a future becoming away from oppressed subjectivity, germinative cocooning can be understood as constitutive of collective, feminist, and resistant spaces. I conclude, therefore, that feminist spaces ought to shelter second-order angers and embrace fragility as a condition of resistant transformation. (shrink)

Jeffrey King has recently argued: (i) that the semantic value of a sentence at a context is (or determines) a function from possible worlds to truth values, and (ii) that this undermines Jason Stanley's argument against the rigidity thesis, the claim that no rigid term has the same content as a non-rigid term. I show that King's main argument for (i) fails, and that Stanley's argument is consistent with the claim that the semantic value of a sentence at a context (...) is (or determines) a function from worlds to truth values. (shrink)

We examine the Doubly Inflected Construction of Sicilian (DIC; Cardinaletti and Giusti 2001, 2003, Cruschina 2013), in which a motion verb V1 from a restricted set is followed by an event verb V2 and both verbs are inflected for the same person and tense features. The interpretation of DIC involves a complex event which behaves as a single, integrated event by linguistic tests. Based on data drawn from different sources, we argue that DIC is an asymmetrical serial verb construction (...) (Aikhenvald 2006). We propose an analysis of DIC in which V1 and V2 enter the semantic composition as lexical verbs, with V1 contributing a motion event and projecting a theme and a goal argument which are identified, respectively, with an agent and a location argument projected by V2. A morphosyntactic mechanism of feature-spread requires that the person and tense features be realized both on V1 and on V2, while, semantically, these features are interpreted only once, in a position from which they take scope over the complex predicate resulting from the combination of V1 and V2. The semantic analysis is based on an operation of event concatenation, defined over spatio-temporally contiguous events which share specific participants, and is implemented in a neo-Davidsonian framework (Parsons 1990). (shrink)

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)

So far, T×W frames have been employed to provide a semantics for a language of tense logic that includes a modal operator that expresses historical necessity. The operator is defined in terms of quantification over possible courses of events that satisfy a certain constraint, namely, that of being alike up to a given point. However, a modal operator can as well be defined without placing that constraint. This paper outlines a T×W logic where an operator of the latter kind (...) is used to express the epistemic property of definiteness. Section 1 provides the theoretical background. Sections 2 and 3 set out the semantics. Sections 4 and 5 show, drawing on established results, that there is a sound and complete axiomatization of the logic outlined. (shrink)

A new model of the development of temporal concepts is described that assumes that there are substantial changes in how children think about time in the early years. It is argued that there is a shift from understanding time in an event-dependent way to an event-independent understanding of time. Early in development, very young children are unable to think about locations in time independently of the events that occur at those locations. It is only with development that children begin to (...) have a proper grasp of the distinction between past, present, and future, and represent time as linear and unidirectional. The model assumes that although children aged 2 to 3 years may categorize events differently depending on whether they lie in the past or the future, they may not be able to understand that whether an event is in the past or future is something that changes as time passes and varies with temporal perspective. Around 4 to 5 years, children understand how causality operates in time, and can grasp the systematic relations that obtain between different locations in time, which provides the basis for acquiring the conventional clock and calendar system. (shrink)

1. Good and evil are not entities, but parameters. The only moral fact is death, and morality is the attitude towards death: everything that leads the system to destruction is evil; everything that overcomes the death of the system is good. The open-question argument is removed without appeal to a naturalistic fallacy. 2. All problems are linked to death. What does not lead to death is not a problem. Any obstacle, barrier, difficulty, or limit is a problem for us only (...) if we know how it can kill us. 3. To understand death as a problem, we need a system of tenses. Any understanding is the transfer of a real event as an abstract symbol from the past to the future, and then the perception of the abstract future in the real present. The only known system that can operate with time is the human language. Human is the only socio-cognitive system that has understood death as a problem. 4. Ethics is a method of development. 5. The purpose of development is to overcome the problem — to obtain freedom from the limitations of death. Beginning with situational problems: hunger, cold, diseases, and external threats; up to the absolute problem: death as such. Overcoming these problems breaks Hume’s guillotine not by logic, but by the phenomenon of will. This ethical concept circumvents Hume's guillotine – indeed, the "ought" does not follow from the "is", but it logically follows from the possible: an imagined, desired hypothesis of freedom from the problem arouses the will to overcome. 6. Survival and overcoming death are not the same thing. Survival is the avoidance of death, the selection of forms and 5 behaviors that allow not to face the problem. Death for Natural Selection is a tool of development, and Death for overcoming is a subject of development. 7. Achieving the development goal is the transition of the system to a new qualitative state. A New World and a New Man, free from the problem of death, will have no need for morality and ethics. (shrink)

Those inclined to positions in the philosophy of time that take tense seriously have typically assumed that not all regions of space-time are equal: one special region of space-time corresponds to what is presently happening. When combined with assumptions from modern physics this has the unsettling consequence that the shape of this favored region distinguishes people in certain places or people traveling at certain velocities. In this paper I shall attempt to avoid this result by developing a tensed picture (...) of reality that is nonetheless consistent with ‘hypersurface egalitarianism’—the view that all hypersurfaces are equal. (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)

Presentism faces a serious challenge from truthmaker theory. Standard solutions to the truthmaker objection against presentism proceed in one of two ways. Easy road presentists invoke new entities to satisfy the requirements of truthmaker theory. Hard road presentists, by contrast, flatly refuse to give in to truthmaker demands. Recently, a third way has been proposed. This response seeks to address the truthmaking problem by tensing our truthmaker principles. These views, though intuitive, are under-developed. In this paper, I get serious about (...) a fundamentally tensed approach to truthmaking by sketching out the underlying ontological picture needed to make sense of tensed truthmaker theory. (shrink)

In recent years the idea that perceptual content is tensed in the sense that we can perceive objects as present or as past has come under attack. In this paper the notion of tensed content is to the contrary defended. The paper argues that assuming that something like an intentionalistic theory of perception is correct, it is very reasonable to suppose that perceptual content is tensed, and that a denial of this notion requires a denial of some intuitively very plausible (...) principles. The paper discusses some common objections against the notion of tensed content and concludes that none of them succeeds in showing that perceptual content cannot be tensed. (shrink)

At the centre of Arthur Prior’s ‘Thank goodness’ argument for the A-theory of time is a particular form of relief. Time must objectively pass, Prior argues, or else the relief felt when a painful experience has ended is not intelligible. In this paper, I offer a detailed analysis of the type of relief at issue in this argument, which I call temporal relief, and distinguish it from another form of relief, which I refer to as counterfactual relief. I also argue (...) that existing discussions of the ‘Thank goodness’ argument—including Prior’s own—fail to give a satisfactory account of temporal relief, and that it needs to be seen as an emotion linked to the ability to engage in fairly sophisticated forms of planning. I also suggest that this has an impact on Prior’s claim that the idea of points in time plays no fundamental role in the semantic analysis of tenses. (shrink)

If, as the new B-theory of time maintains, tensed sentences have tenseless truth conditions, it follows that it is possible for two sentence-tokens to have the sametruth conditions but different meanings. This conclusion forces a rethink of the traditional identification of truth conditions with meaning. There is an aspect of the meanings of tensed sentences that is not captured by their truth conditions, and that has so far eluded explanation. In this paper I intend to locate, examine, and explain this (...) feature of tensed meaning. (shrink)

We provide a direct method for proving Craig interpolation for a range of modal and intuitionistic logics, including those containing a "converse" modality. We demonstrate this method for classical tense logic, its extensions with path axioms, and for bi-intuitionistic logic. These logics do not have straightforward formalisations in the traditional Gentzen-style sequent calculus, but have all been shown to have cut-free nested sequent calculi. The proof of the interpolation theorem uses these calculi and is purely syntactic, without resorting to (...) embeddings, semantic arguments, or interpreted connectives external to the underlying logical language. A novel feature of our proof includes an orthogonality condition for defining duality between interpolants. (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)

As far as our experience goes, we live in a dynamic present. Those two phenomenal features of experience—presentness and dynamism—are obviously connected. However, how they are connected is not obvious at all. In this paper, I criticise the view according to which the former can explain the latter, which I call sophisticated representationalism. My criticism will be based on an ambiguity in the notion of tense found in the philosophical literature, that between the perspectival understanding and the dynamic understanding (...) of tenses. The distinction is not just of independent interest, but it has a role in providing indirect evidence for the claim that the feeling of passage of time should be understood in non-representationalist terms. (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)

In this paper it is shown how the DRT (Discourse Representation Theory) treatment of temporal anaphora can be formalized within a version of Montague Semantics that is based on classical type logic.

Natural languages exhibit a great variety of grammatical paradigms. For instance, in English verbs are grammatically marked for tense, whereas in the tenseless Eskimo-Aleut language Kalaallisut they are marked for illocutionary mood. Although time is a universal dimension of the human experience and speaking is part of that experience, some languages encode reference to time without any grammatical tense morphology, or reference to speech acts without any illocutionary mood morphology. Nevertheless, different grammatical systems are semantically parallel in certain (...) respects. Specifically, I propose that English tenses form a temporal centering system, which monitors and updates topic times, whereas Kalaallisut moods form a modal centering system, which monitors and updates modal discourse referents. To formalize these centering parallels I define a dynamic logic that represents not only changing information but also changing focus of attention in discourse (Update with Centering, formalizing Grosz et al 1995). Different languages can be translated into this typed logic by directly compositional universal rules of Combinatory Categorial Grammar (CCG) The resulting centering theory of tense and illocutionary mood draws semantic parallels across different grammatical systems. The centering generalizations span the extremes of the typological spectrum, so they are likely to be universal. In addition, the theory accounts for the translation equivalence of tense and illocutionary mood in a given utterance context. Following Stalnaker (1978) I assume that the very act of speaking up has a ‘commonplace effect’ on the context. It focuses attention on the speech act and thereby introduces default modal and temporal topics. These universal defaults complement language-specific grammars, e.g. English tenses and Kalaallisut moods. In a given utterance context the universal discourse-initial defaults plus language-specific grammatical marking may add up to the same truth conditions.. (shrink)

Recent attempts to resolve the truthmaker objection to presentism employ a fundamentally tensed account of the relationship between truth and being. On this view, the truth of a proposition concerning the past supervenes on how things are, in the present, along with how things were, in the past. This tensed approach to truthmaking arises in response to pressure placed on presentists to abandon the standard response to the truthmaker objection, whereby one invokes presently existing entities as the supervenience base for (...) the truth of past-directed propositions. In this paper, I argue that a fundamentally tensed approach to truthmaking is implausible because it requires the existence of cross-temporal supervenience relations, which are anathema to presentism. (shrink)

I consider whether the self-ascription theory can succeed in providing a tenseless (B-theoretic) account of tensed belief and timely action. I evaluate an argument given by William Lane Craig for the conclusion that the self-ascription account of tensed belief entails a tensed theory (A-theory) of time. I claim that how one formulates the selfascription account of tensed belief depends upon whether one takes the subject of selfascription to be a momentary person-stage or an enduring person. I provide two different formulations (...) of the self-ascription account of tensed belief, one that is compatible with a perdurantist account of persons and the other that is compatible with an endurantist account of persons. I argue that a self-ascription account of tensed beliefs for enduring subjects most plausibly involves the self-ascription of relations rather than properties. I argue that whether one takes the subject of self-ascription to be a momentary personstage or an enduring person, the self-ascription theory provides a plausible B-theoretic account of how tensed belief and timely action are possible. (shrink)

60% of meanings conveyed by English grammar tenses are not recognized automatically by the Russian language. Russian translations tend to be some 30% longer than their English originals. -/- Is there any way for us to map and systematise those discrepancies? -/- Here is an attempt of modelling, or reconstructing the cognitive system of English natives imprinted in the English Tense System, as seen by a Slavic native speaker.

Spinor theory and its applications are indispensable in many areas of theoretical physics, especially in quantum mechanics, general relativity, and string theory. Spinors are complex objects that transform under specific representations of the Lorentz or rotation groups, capturing the intrinsic spin properties of particles. Recent developments in mathematical abstraction have provided new insights and tools for exploring spinor dynamics, particularly through the lens of motivic operators and M-Posit transforms. This paper delves into the intricate dynamics of spinors subjected to (...) motivic operators and MPosit transforms. Motivic operators encapsulate intrinsic algebraic properties and perturbations, leading to highly evolved spinor states without reliance on external coordinate systems. The M-Posit transform, a novel operator designed for spinors, leverages fractal morphic properties, topological congruence, and quantum-inspired perturbations to manipulate spinor structures within an infinitedimensional oneness geometry calculus. Drawing on the foundations laid by twistor theory, we aim to redefine the evolution of spinors using intrinsic properties derived from phenomenological velocity equations. By interpreting spinors as self-propelled twistors, we offer new perspectives on spinor transformations and dynamics. This intrinsic approach not only simplifies the mathematical treatment but also enhances the physical and geometric interpretation of spinor behaviors. The structure of this paper is organized as follows: We begin with the formal definition and computation of spinor components using motivic operators, highlighting the steps involved in their transformations. Following this, we introduce the M-Posit transform and explore its application to spinors, providing detailed mathematical formulations and examples. We also examine the implications of these transformations in higher-dimensional twistor spaces and non-commutative structures. Finally, we extend our analysis to practical applications in quantum computing, fractal image processing, and quantum field theory. The potential of spinning theory redefined through motivic operators and M-posit transforms offers promising avenues for further research in various domains of theoretical physics and mathematics. This paper sets a foundation for these explorations, emphasizing the importance of intrinsic properties and algebraic dynamics in understanding complex spinor evolutions. (shrink)

It is suggested that the notion of truth value plays a role in syntactic theory and should be incorporated in the appropriate formulation of conditions on transformations.

ABSTRACT We critically review two extant paradigms for understanding the systematic interaction between modality and tense, as well as their respective modifications designed to do justice to the contingency of time’s structure and composition. We show that on either type of theory, as well as their respective modifications, some principles prove logically valid whose truth might sensibly be questioned on metaphysical grounds. These considerations lead us to devise a more general logical framework that allows accommodation of those metaphysical views (...) that its predecessors rule out by fiat. (shrink)

Abstract According to an influential theory, English tenses are anaphoric to an aforementioned reference point. This point is sometimes construed as a time (e.g. Reichenbach 1947, Partee 1973, Stone 1997) and sometimes as an event (e.g. Kamp 1979, 1981, Webber 1988). Moreover, some researchers draw semantic parallels between tenses and pronouns (e.g. Partee 1973, 1984, Stone 1997), whereas others draw parallels between tenses and anaphorically anchored (in)definite descriptions (e.g. Webber 1988). This paper proposes a unified approach.

M. Johnston proposed an adverbialist solution to the problem of intrinsic change of enduring things. D. Lewis interpreted it as a way of tensing the copula. In his view, it has the defect of replacing having a property simpliciter by standing in a triadic relation to a property and a time, and so is threatened by Bradley’s Regress. I agree with Lewis on requiring having a property to be non-relational, while I disagree with him on restricting it to having simpliciter. (...) I tense the copula non-relationally and yet more seriously than Johnston, by characterizing tense as a copulative de re modality concerning endurance, which I relate to R. Taylor’s ‘pure becoming’. I will show that my way gives a better solution to the problem of intrinsic change than those by other endurantists, because of its close connection to an account of tense, endurance and becoming. (shrink)

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)

Abstract: A theory of time is a theory of the nature of temporal reality, and temporal reality determines the truth-value of temporal sentences. Therefore it is reasonable to ask how a theory of time can account for the way the truth of temporal sentences is determined. This poses certain challenges for both the A theory and the B theory of time. In this paper, I outline an account of temporal sentences. The key feature of the account is that the primary (...) bearers of truth-values are not utterances, but sentences evaluated with respect to a time. I argue that unlike other views, the present proposal can meet the challenges faced both by the A and the B theory. (shrink)

Certain passages in Kaplan’s ‘Demonstratives’ are often taken to show that non-vacuous sentential operators associated with a certain parameter of sentential truth require a corresponding relativism concerning assertoric contents: namely, their truth values also must vary with that parameter. Thus, for example, the non-vacuity of a temporal sentential operator ‘always’ would require some of its operands to have contents that have different truth values at different times. While making no claims about Kaplan’s intentions, we provide several reconstructions of how (...) such an argument might go, focusing on the case of time and temporal operators as an illustration. What we regard as the most plausible reconstruction of the argument establishes a conclusion similar enough to that attributed to Kaplan. However, the argument overgenerates, leading to absurd consequences. We conclude that we must distinguish assertoric contents from compositional semantic values, and argue that once they are distinguished, the argument fails to establish any substantial conclusions. We also briefly discuss a related argument commonly attributed to Lewis, and a recent variant due to Weber. (shrink)

In English, discourse reference to time involves grammatical tenses interpreted as temporal anaphors. Recently, it has been argued that conditionals involve modal discourse anaphora expressed by a parallel grammatical system of anaphoric modals. Based on evidence from Kalaallisut, this paper argues that temporal and modal anaphora can be just as precise in a language that does not have either grammatical category. Instead, temporal anaphora directly targets eventualities of verbs, without mediating tenses, while modal anaphora involves anaphoric moods and/or attitudinal verbs.

Fine’s discussion of McTaggart’s paradox and tense realism may be the most significant progress in the philosophy of time in recent years. Fine reformulates McTaggart’s paradox and develops a novel realist theory called fragmentalism. According to Fine, one major advantage of fragmentalism is its ability to account for the connection between reality and tensed truths. I will argue that fragmentalism cannot give an adequate account of this connection. The reason is that while external relations between fragments are required by (...) this kind of account, these relations are not allowed in fragmentalism. (shrink)

Logical and philosophical literature provides different classifications of reasoning. In the Polish literature on the subject, for instance, there are three popular ones accepted by representatives of the Lvov-Warsaw School: Jan Łukasiewicz, Tadeusz Czeżowski and Kazimierz Ajdukiewicz (Ajdukiewicz in Logika pragmatyczna [Pragmatic Logic]. PWN, Warsaw (1965, 2nd ed. 1974). Translated as: Pragmatic Logic. Reidel & PWN, Dordrecht, 1975). The author of this paper, having modified those classifications, distinguished the following types of reasoning: (1) deductive and (2) non-deductive, and additionally two (...) types of them in each of the two, depending on the manner of combining their premises with the conclusion through the relation of classical logical entailment. Consequently, the four types of reasoning: unilateral deductive (incl. its sub-types: deductive inference and proof), bilateral deductive (incl. complete induction), and reductive (incl. the sub-types: explanation and verification), logically nonvaluable (incl. inference by analogy, statistic inference), correspond to four operators of derivability. They are defined formally on the ground of Tarski’s axiomatic theory of deductive systems, by means of the consequence operation _Cn_ (Tarski in Monatshefte Math Phys 37:361–404, 1930a, C R Soc Sci Lett Vars 23:22–29, 1930b). Also, certain metalogical properties of these operators are given, as well as their relations with Tarski’s consequence operations \(Cn^+\) ( \(Cn^+ = Cn\) ) and dual consequences \(Cn^{-1}\) (Słupecki in Zeszyty Naukowe Uniwersytetu Wrocławskiego Seria B Nr 3:33–40, 1959, Słupecki et al. in Stud Log 29:76–123, 1971, Wybraniec-Skardowska, in: Wybraniec-Skardowska, Bryll (eds) Z badań nad teorią zdań odrzuconych [Studies in the Theory of Rejected Propositions], Series B, Studia i Monografie, Zeszyty Naukowe Wyższej Szkoły Pedagogicznej w Opolu, Opole, 1969), and \(Cn^-\) (Wójcicki in Bull Sect Log 2(2):54–57, 1973)). (shrink)

ABSTRACT Kit Fine recently described and defended a novel position in the philosophy of time, fragmentalism. It is not often that a new option appears in this old field, and for that reason alone these two essays merit serious attention. I will try to present briefly but fairly some of the considerations that Fine thinks favour fragmentalism. I will also weigh the merits of fragmentalism against the view that Fine presents as its chief rival, relativism, as well as the merits (...) of both against the view that he calls anti-realism. Along the way, we should pick up a clearer picture of fragmentalism itself. (shrink)

Our aim in the present paper is to investigate, from the standpoint of truth-theoretic semantics, English tense, temporal designators and quantifiers, and other expressions we use to relate ourselves and other things to the temporal order. Truth-theoretic semantics provides a particularly illuminating standpoint from which to discuss issues about the semantics of tense, and their relation to thoughts at, and about, times. Tense, and temporal modifiers, contribute systematically to conditions under which sentences we utter are true or (...) false. A Tarski-style truth-theoretic semantics, by requiring explicitly represented truth conditions, helps to sharpen questions about the function of tense, and to deepen our insight into the contribution the tenses and temporal modifiers make to what we say by using them. (shrink)

We introduce translations between display calculus proofs and labeled calculus proofs in the context of tense logics. First, we show that every derivation in the display calculus for the minimal tense logic Kt extended with general path axioms can be effectively transformed into a derivation in the corresponding labeled calculus. Concerning the converse translation, we show that for Kt extended with path axioms, every derivation in the corresponding labeled calculus can be put into a special form that is (...) translatable to a derivation in the associated display calculus. A key insight in this converse translation is a canonical representation of display sequents as labeled polytrees. Labeled polytrees, which represent equivalence classes of display sequents modulo display postulates, also shed light on related correspondence results for tense logics. (shrink)

There are two foundational, but not fully developed, ideas in paraconsistency, namely, the duality between paraconsistent and intuitionistic paradigms, and the introduction of logical operators that express meta-logical notions in the object language. The aim of this paper is to show how these two ideas can be adequately accomplished by the Logics of Formal Inconsistency (LFIs) and by the Logics of Formal Undeterminedness (LFUs). LFIs recover the validity of the principle of explosion in a paraconsistent scenario, while LFUs recover (...) the validity of the principle of excluded middle in a paracomplete scenario. We introduce definitions of duality between inference rules and connectives that allow comparing rules and connectives that belong to different logics. Two formal systems are studied, the logics mbC and mbD, that display the duality between paraconsistency and paracompleteness as a duality between inference rules added to a common core– in the case studied here, this common core is classical positive propositional logic (CPL + ). The logics mbC and mbD are equipped with recovery operators that restore classical logic for, respectively, consistent and determined propositions. These two logics are then combined obtaining a pair of logics of formal inconsistency and undeterminedness (LFIUs), namely, mbCD and mbCDE. The logic mbCDE exhibits some nice duality properties. Besides, it is simultaneously paraconsistent and paracomplete, and able to recover the principles of excluded middle and explosion at once. The last sections offer an algebraic account for such logics by adapting the swap-structures semantics framework of the LFIs the LFUs. This semantics highlights some subtle aspects of these logics, and allows us to prove decidability by means of finite non-deterministic matrices. (shrink)