This paper developes a relational---as opposed to a functional---theory of types. The theory is based on Hilbert and Bernays' eta operator plus the identity symbol, from which Church's lambda and the other usual operators are then defined. The logic is intended for use in the semantics of natural language.

This paper outlines the intellectual biography of Walter Dubislav. Besides being a leading member of the Berlin Group headed by Hans Reichenbach, Dubislav played a defining role as well in the Society for Empirical/Scientific Philosophy in Berlin. A student of David Hilbert, Dubislav applied the method of axiomatic to produce original work in logic and formalist philosophy of mathematics. He also introduced the elements of a formalist philosophy of science and addressed more general problems concerning the substantiation of human knowledge. (...) What set Dubislav apart from the other logical empiricists was his expertise in the history of logic and exact philosophy which enabled him to elucidate and advance the thinking in both disciplines. In the realm of logic proper, Dubislav is best known for his pioneering work in theory of definitions. What is more, he did original work on the so called ‘quasi truth-tables’ which aided Reichenbach in developing his logic of probability. Dubislav also elaborated an influe.. (shrink)

This paper contributes to the debate about ‘tenseless languages’ by defending a tensed analysis of a superficially tenseless language. The language investigated is St’át’imcets (Lillooet Salish). I argue that although St’át’imcets lacks overt tense morphology, every finite clause in the language possesses a phonologically covert tense morpheme; this tense morpheme restricts the reference time to being non-future. Future interpretations, as well as ‘past future’ would-readings, are obtained by the combination of covert tense with an operator analogous to Abusch’s (1985) WOLL. (...) I offer St’át’imcets-internal evidence (of a kind not previously adduced) that the WOLL-like operator is modal in nature. It follows from the analysis presented here that there are only two (probably related) differences between St’át’imcets and English in the area of tense. The first is that St’át’imcets lacks tense morphemes which are pronounced. The second is that the St’át’imcets tense morpheme is semantically underspecified compared to English ones. In each of these respects, the St’át’imcets tense morpheme displays similar properties to pronouns, which may be covert and which may fail to distinguish person, number or gender. Along the way, I point out several striking and subtle similarities in the interpretive possibilities of St’át’imcets and English. I suggest that these similarities may reveal non-accidental properties of tense systems in natural language. I conclude with discussion of the implications of the analysis for cross-linguistic variation, learnability and the possible existence of tenseless languages. (shrink)

Mc Taggart's celebrated proof of the unreality of time is a chain of implications whose final step asserts that the A-series (i.e. the classification of events as past, present or future) is intrinsically contradictory. This is widely believed to be the heart of the argument, and it is where most attempted refutations have been addressed; yet, it is also the only part of the proof which may be generalised to other contexts, since none of the notions involved in it is (...) specifically temporal. In fact, as I show in the first part of the paper, McTaggart's refutation of the A-series can be easily interpreted in mathematical terms; subsequently, in order to strengthen my claim, I apply the same framework by analogy to the cases of space, modality, and personal identity. Therefore, either McTaggart's proof as a whole may be extended to each of these notions, or it must embed some distinctly temporal element in one of the steps leading up to the contradiction of the A-series. I conclude by suggesting where this element might lay, and by hinting at what I believe to be the true logical fallacy of the proof. (shrink)

The concept of temporal flow has been attacked both on the grounds that it is logically incoherent, and on the grounds that it conflicts with the theory of relativity. I argue that the charge of incoherence cannot be made to stick: McTaggart's argument commits the fallacy of equivocation, and arguments deployed by Smart and others turn out to be question-begging. But objections arising from relativity, so I claim, have considerably more force than Lucas acknowledges. Moreover, the idea of equating the (...) cosmic time which arises in general relativistic cosmology with a metaphysically preferred space-time foliation, founders on the fact that the Friedmann models are idealisations. Finally, Lucas may be right in claiming that dynamical wave-function collapse, provided it does not propagate superluminally, will define a preferred foliation. But it is arguable that this consideration, so far from supporting Lucas's position, is grounds for rejecting collapse interpretations of quantum mechanics. (shrink)

By force of _causes precede effects_, causality contributes to the temporal meaning of discourse. In case of semantic causal relations, this contribution is straightforward, but in case of epistemic causal relations, it is not. In order to gain insight into the semantics of epistemic causal relations, paradoxical cases are analyzed of text fragments in which temporal and causal meaning seem to be irreconcilable. A solution is proposed consisting of several parts: First, an analysis of epistemic causal coherence relations, in which (...) the effect sentence is argued to be a _belief_ sentence. Secondly, a method for deriving causal coherence relations. And thirdly, a format for representing temporal meaning in which contributions of tense and causality can be reconciled. Finally, it is argued that _understanding_ epistemically causally connected sequences is not equal to being persuaded to _believing_ them. The difference is shown to be expressible in the representation format proposed. (shrink)

Linguistic phenomena of tense and aspect have been investigated in a great deal of theoretical work in linguistics, philosophy and computer science. Modern tense logics, established by Prior, are part of this effort. Point tense logics offer an intuitive representation of tense but lack the expressiveness to represent many aspectual structures. Interval tense logics offer more expressiveness but in the general case can be computationally intractable. From a linguistic perspective there is the problem of precisely how to formalise the aspectual (...) structures, such as a culmination and a culminated process. In this paper we define a computationally tractable augmented fragment of Halpern and Shoham's interval tense logic HS and apply it to represent a core set of aspectual structures, which are incorporated into a temporal semantics of a simple fragment of English. We model the logic fragment using timelines and define two procedures, one for constructing the minimal timelines that satisfy a formula and one for checking semantic entailments between one formula and another by comparing their timelines. The former is applied to compute models of temporal readings and the latter to check entailments between them. Possible extensions to the logic fragment and timeline models are discussed as ways of accounting for a wider range of linguistic behaviour. (shrink)

This paper presents a formal account of how to determine the discourse relations between propositions introduced in a text, and the relations between the events they describe. The distinct natural interpretations of texts with similar syntax are explained in terms of defeasible rules. These characterise the effects of causal knowledge and knowledge of language use on interpretation. Patterns of defeasible entailment that are supported by the logic in which the theory is expressed are shown to underly temporal interpretation.

has offered a lovely example to motivate the intuition that a successful prediction has a kind of confirmatory significance that an accommodation lacks. This paper scrutinizes Maher's example. It argues that once the example is tweaked, the intuitive difference there between prediction and accommodation disappears. This suggests that the apparent superiority of prediction to accommodation is actually a side effect of an important difference between the hypotheses that tend to arise in each case.

I identify the special sort of stability (invariance, resilience, etc.) that distinguishes laws from accidental truths. Although an accident can have a certain invariance under counterfactual suppositions, there is no continuum between laws and accidents here; a law's invariance is different in kind, not in degree, from an accident's. (In particular, a law's range of invariance is not "broader"--at least in the most straightforward sense.) The stability distinctive of the laws is used to explicate what it would mean for there (...) to be multiple grades (or degrees) of physical necessity. Whether there are is for science to discover. (shrink)

Un problème est dit ici «mouvoir» la recherche, quand c'est sur lui que se concentre l'énergie du chercheur et que c'est son traitement qui fait «avancer» la recherche.Une entreprise de recherche, une « e-r »,commej'écrirai souvent, est considérée ici comme une unité individuée et je postule qu'il y a toujours au moins un « niveau » où l'on peut se placer pour qu'il soit légitime de considérer une e-r comme une unité individuée.

I discuss three observations about backtracking counterfactuals not predicted by existing theories, and then motivate a theory of counterfactuals that does predict them. On my theory, counterfactuals quantify over a suitably restricted set of historical possibilities from some contextually relevant past time. I motivate each feature of the theory relevant to predicting our three observations about backtracking counterfactuals. The paper concludes with replies to three potential objections.

Although adverbialism is not given much attention in current discussions of phenomenal states, it remains of interest to philosophers who reject the representationalist view of such states, in suggesting an alternative to a problematic ‘act-property’ conception. We discuss adverbialism and the formalization Tye once offered for it, and criticize the semantics he proposed for this formalization. Our central claim is that Tye’s ontological purposes could have been met by a more minimal view, which we dub “attributeism”. We then show that (...) there is no incompatibility between the ontology of attributeism and the postulation of pictorial representations in the brain. (shrink)

Scientists often use aesthetic values in the evaluation and choice of theories. Aesthetic values are not only regarded as leading to practically more useful theories but are often taken to stand in a special epistemic relation to the truth of a theory such that the aesthetic merit of a theory is evidence of its truth. This paper explores what aesthetic considerations influence scientists' reasoning, how such aesthetic values relate to the utility of a scientific theory, and how one can justify (...) the epistemic role for such values. The paper examines ways in which the link between beauty and truth can be defended, the challenges facing such accounts, and explores alternative epistemic roles for aesthetic values in scientific practice. (shrink)

“I”‐thought is often taken to have a special cognitive significance, with “I” symbolising a subjective way of thinking about oneself that is inapt for communication. In this paper I argue that the way one thinks of oneself in “I”‐thought is immaterial to the meaning of “I,” for in general the psychological role associated with a referential expression is separable from its meaning. With respect to “I,” I suggest that its meaning consists in an interpersonal way of fixing its reference in (...) a context, which is accessible to the speaker and the hearer. Consequently, “I” would have a dual cognitive significance. (shrink)

Self-Knowledge and Self-Reference is a defense and reconciliation of the two apparently conflicting theses that the self is peculiarly elusive and that our basic, cogito-judgments are certain. On the one hand, Descartes seems to be correct that nothing is more certain than basic statements of self-knowledge, such as "I am thinking." On the other hand, there is the compelling Humean observation that when we introspect, nothing is found except for various "impressions." The problem, then, is that the Humean and Cartesian (...) insights are both initially appealing, yet they appear to be in tension with one another. In this paper I attempt to satisfy both intuitions by developing a roughly descriptivist account of self-reference according to which our certainty in basic beliefs stems precisely from our needing to know so little in order to have them. (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)

Alice has insomnia. She has trouble falling asleep and part of the problem is that she worries about it and realizes that her worrying about it tends to keep from falling asleep. It occurs to her that thinking that she will not be able to fall asleep may be a kind of self-fulfilling prophecy. Perhaps she even has a thought that might be expressed like this: I am not going to fall asleep because of my having this very thought. This (...) thought attributes to itself the property of keeping her awake. (shrink)

The indexical word “I” has traditionally been assumed to be an overt analogue to the concept of self, and the best model for understanding it. This approach, I argue, overlooks the essential role of cognitive phenomenology in the mastery of the concept of self. I suggest that a better model is to be found in a different kind of representation: phenomenal concepts or more generally phenomenally grounded concepts. I start with what I take to be the defining feature of the (...) concept of self, namely its “super-reflexivity”: to use this concept is not just to think of oneself, but to think of oneself as the thinker of the present thought. I call this familiar observation the “Thinker Intuition”. I review some shortcomings of the indexical model of the concept of self, which is the classical account of the Thinker Intuition. I go on to propose a different account, the “phenomenal model”, according to which the concept of self is a phenomenally grounded concept, anchored in a generic kind of cognitive phenomenolog... (shrink)

In this paper, we aim to enhance our understanding about the processing of implicit and explicit temporal chronological relations by investigating the roles of temporal connectives and verbal tenses, separately and in interaction. In particular, we investigate how two temporal connectives (ensuiteandpuis, both meaning ‘then’) and two verbal tenses expressing past time (the simple and compound past) act as processing instructions for chronological relations in French. Theoretical studies have suggested that the simple past encodes the instruction to relate events sequentially, (...) unlike the more flexible compound past, which does not. Using an online experiment with a self-paced reading task, we show that these temporal connectives facilitate the processing of chronological relations when they are expressed with both verbal tenses, and that no significant difference is found between the two verbal tenses, nor between the two connectives. By means of an offline experiment with an evaluation task, we find, contrary to previous studies, that comprehenders prefer chronological relations to be overtly marked rather than implicitly expressed, and prefer to use the connectivepuisin particular. Furthermore, comprehenders prefer it when these relations are expressed using the compound past, rather than the simple past. Instead of using thecontinuityhypothesis (Segal et al. 1991,Murray 1997) to explain the processing of temporal relations, we conclude that a more accurate explanation considers a cluster of factors including linguistic knowledge (connectives, tenses, grammatical and lexical aspect) and world knowledge. (shrink)

We seek means of distinguishing logical knowledge from other kinds of knowledge, especially mathematics. The attempt is restricted to classical two-valued logic and assumes that the basic notion in logic is the proposition. First, we explain the distinction between the parts and the moments of a whole, and theories of ?sortal terms?, two theories that will feature prominently. Second, we propose that logic comprises four ?momental sectors?: the propositional and the functional calculi, the calculus of asserted propositions, and rules for (...) (in)valid deduction, inference or substitution. Third, we elaborate on two neglected features of logic: the various modes of negating some part(s) of a proposition R, not only its ?external? negation not-R; and the assertion of R in the pair of propositions ?it is (un)true that R? belonging to the neglected logic of asserted propositions, which is usually left unstated. We also address the overlooked task of testing the asserted truth-value of R. Fourth, we locate logic among other foundational studies: set theory and other theories of collections, metamathematics, axiomatisation, definitions, model theory, and abstract and operator algebras. Fifth, we test this characterisation in two important contexts: the formulation of some logical paradoxes, especially the propositional ones; and indirect proof-methods, especially that by contradiction. The outcomes differ for asserted propositions from those for unasserted ones. Finally, we reflect upon self-referring self-reference, and on the relationships between logical and mathematical knowledge. A subject index is appended. (shrink)

Reichenbachian approaches to indexicality contend that indexicals are "token-reflexives": semantic rules associated with any given indexical-type determine the truth-conditional import of properly produced tokens of that type relative to certain relational properties of those tokens. Such a view may be understood as sharing the main tenets of Kaplan's well-known theory regarding content, or truth-conditions, but differs from it regarding the nature of the linguistic meaning of indexicals and also regarding the bearers of truth-conditional import and truth-conditions. Kaplan has criticized these (...) approaches on different counts, the most damaging of which is that they make impossible a "logic of demonstratives". The reason for this is that the token-reflexive approach entails that not two tokens of the same sentential type including indexicals are guaranteed to have the same truth-conditions. In this paper I rebut this and other criticisms of the Reichenbachian approach. Additionally, I point out that Kaplan's original theory of "true demonstratives" is empirically inadequate, and claim that any modification capable of accurately handling the linguistic data would have similar problems to those attributed to the Reichenbachian approach. This is intended to show that the difficulties, no matter how real, are not caused by idiosincracies of the "token-reflexive" view, but by deep facts about indexicality. (shrink)

Does the A-theory have an intuitive advantage over the B-theory? Many A-theorists have claimed so, arguing that their theory has a much better explanation for the fact that we all experience the passage of time: we experience time as passing because time really does pass. In this paper I expose and reject the argument behind the A-theorist’s claim. I argue that all parties have conceded far too easily that there is an experience that needs explaining in the first place. For (...) what exactly is an experience of temporal passage? One natural thought is that we experience passage in virtue of experiencing change, or in virtue of experiencing change as ‘dynamic’. Another is that we experience passage in virtue of experiencing events as (successively) present. None of these experiences, I argue, amounts to an experience of passage. Although there might still be other ways to experience passage, A-theorists would have to provide us with a plausible candidate experience. If there is such an experience at all, it won’t be one that qualifies as what we intuitively take to be an experience of passage. The ‘intuitive advantage’, it seems, has dissolved in any case. (shrink)

The purpose of this essay is to determine how we should construe the content of memories or, in other words, to determine what the intentional objects of memory are.1 The issue that will concern us is, then, analogous to the traditional philosophical question of whether perception directly puts us in cognitive contact with entities in the world or with entities in our own minds. As we shall see, there are some interesting aspects of the phenomenology and the epistemology of memory, (...) and I shall aim at a specification of the content of memories that is in accordance with those aspects of them. (shrink)

Situations serving as partial worlds as well as events in natural language semantics are constructed from a type-theoretic interpretation of firstorder formulae and (after a type reduction) temporal formulae. Limitations of the Russell-Wiener-Kamp derivation of time from events are discussed and overcome to give a more widely applicable account of temporal granularity. Finite situations are formulated as strings of observations, conceptualized to persist inertially (in the absence of forces).

Years ago, Michael Dummett defended McTaggart’s argument for the unreality of time, arguing that it cannot be dismissed as guilty of an “indexical fallacy.” Recently, E. J. Lowe has disputed Dummett’s claims for the cogency of the argument. I offer an elaboration and defense of Dummett’s interpretation of the argument (though not of its soundness). I bring to bear some work on tense from the philosophy of language, and some recent work on the concept of the past as it occurs (...) in memory, in an effort to support the claim that McTaggart is not guilty of any simple indexical fallacy. Along the way I criticize an account of what is at stake in disputes about the reality of tense due to A. W. Moore, and I argue for the superiority of the conception of tense-realism that is implicit in McTaggart’s work. The paper is intended to prepare the ground for a substantive defense of the reality of tense. (shrink)

Developed by Arthur Prior, Temporal Logic allows to represent temporal information on a logical system using modal operators such as P, F, H or G, whose intuitive meaning is “it was sometime in the Past...”, “it will be sometime in the Future...”, “it Has always been in the past...” and “it will always Going to be in the future...” respectively. Valuation of formulae built from these operators are carried out on Kripke semantics, so Modal Logic and Temporal Logic are consequently (...) related. In fact, Temporal Logic is an extension of Modal one. Even when both logics mechanisms are able to formalize modal-temporal information with some accuracy, they suffer from a lack of expressiveness which Hybrid Logic can solve. Indeed, one of the problems of Modal Logic consists in its incapacity of naming specific points inside a model. As Temporal Logic is based on it, it cannot make such a thing neither. But First-Order Logic does can by means of constants and equality relation. Hybrid Logic, which results from combining Modal Logic and First-Order Logic, may solve this shortcoming. The main aim of this paper is to explain how Hybrid Logic emanates from Modal and Temporal ones in order to show what it adds to both logics with regard to information representation, why it is more expressive than them and what relation it maintains with the First-Order Correspondence Language. (shrink)

We construct an extension P of the standard language of classical propositional logic by adjoining to the alphabet of a new category of logical-pragmatic signs. The well formed formulas of are calledradical formulas (rfs) of P;rfs preceded by theassertion sign constituteelementary assertive formulas of P, which can be connected together by means of thepragmatic connectives N, K, A, C, E, so as to obtain the set of all theassertive formulas (afs). Everyrf of P is endowed with atruth value defined classically, (...) and everyaf is endowed with ajustification value, defined in terms of the intuitive notion of proof and depending on the truth values of its radical subformulas. In this framework, we define the notion ofpragmatic validity in P and yield a list of criteria of pragmatic validity which hold under the assumption that only classical metalinguistic procedures of proof be accepted. We translate the classical propositional calculus (CPC) and the intuitionistic propositional calculus (IPC) into the assertive part of P and show that this translation allows us to interpret Intuitionistic Logic as an axiomatic theory of the constructive proof concept rather than an alternative to Classical Logic. Finally, we show that our framework provides a suitable background for discussing classical problems in the philosophy of logic. (shrink)

Causal slingshots are formal arguments advanced by proponents of an event ontology of token-level causation which, in the end, are intended to show two things: (i) The logical form of statements expressing causal dependencies on token level features a binary predicate ‘‘... causes ...’’ and (ii) that predicate takes events as arguments. Even though formalisms are only revealing with respect to the logical form of natural language statements, if the latter are shown to be adequately captured within a corresponding formalism, (...) proponents of slingshots usually take the adequacy of their formalizations for granted without justifying it. The first part of this paper argues that the most discussed version of a causal slingshot, viz. the one e.g. presented by Davidson (Essays on actions and events. Oxford, Clarendon Press, 1980), can indeed be refuted for relying on an inadequate formal apparatus. In contrast, the formal means of Gödel’s (The philosophy of Betrand Russell. New York, Tudor, 1944) often neglected slingshot are shown to stand on solid ground in the second part of the paper. Nonetheless, I contend that Gödel’s slingshot does only half the work friends of event causation would like it to do. It provides good reasons for (i) but not for (ii). (shrink)

In combining a pluri‐propositionalist framework (Bach‐style) concerning alleged conventional implicatures, and a pluri‐propositionalist framework (Perry‐style) distinguishing various levels of content associated with a single utterance, I defend a Grice‐inspired model of communication. In so doing, I rely on the distinction between what is said, i.e. what is semantically encoded, and what is pragmatically implicated. I show how the notion of same‐saying plays a central role in dealing with problems pertaining to communication insofar as it permits us to posit a stability (...) of content among interlocutors. I also show how people can be classified as same‐sayers in different ways, viz. if they express the same (minimal) proposition/content or if they utter the same sentence. If A utters ‘I'm happy’ and B replies: ‘C said that too’, what B said can mean either that C said that A is happy—thus C and A expressed the same proposition—or that C utters the same words—they both utter ‘I'm happy’ and in so doing express different propositions, i.e. that A is happy and that C is happy respectively. (shrink)