Causal finitism claims nothing can have an infinite causal history. An influential defense of this position uses infinity paradoxes to argue that, if causal finitism is false, several impossible scenarios would be possible. In this paper, I defend that theists should not be persuaded by this argument. If true, this is an important development, since causal finitism is often argued for by theists as a core premise in Kalam-style cosmological arguments for theism. I extend the same analysis (...) to an argument in favor of temporal finitism and conclude that my point may generalize to any reasoning of a similar structure. (shrink)

Benardete paradoxes involve infinite collections of Grim Reapers, assassins, demons, deafening peals, or even sentences. These paradoxes have recently been used in arguments for finitist metaphysical theses such as temporal finitism, causal finitism, and discrete views of time. Here we develop a new finite Benardete-like paradox. We then use this paradox to defend a companions in guilt argument that challenges recent applications of patchwork principles on behalf of the aforementioned finitist arguments. Finally, we develop another problem for (...) those applications by examining the notion of exact duplication. (shrink)

José Benardete developed a famous paradox involving a beginningless set of items each member of which satisfies some predicate just in case no earlier member satisfies it. The Grim Reaper version of this paradox has recently been employed in favor of various finitist metaphysical theses, ranging from temporal finitism to causal finitism to the discrete nature of time. Here, I examine a new challenge to these finitist arguments—namely, the challenge of implying that the future cannot be endless. (...) In particular, I develop future-oriented Benardete paradoxes and examine their epistemic symmetry with past-oriented paradoxes. (shrink)

An eternal society with the abilities of ordinary humans in each year of its existence would have had the ability to actualize a logical contradiction. This fact casts doubt on the metaphysical possibility of an infinite past. In addition to using this paradox in an argument against an infinite past, one can also use the paradox mutatis mutandis as a decisive argument against the sempiternality of God.

William Lane Craig has revived interest in the medieval kalām argument to the point where it is now one of the most discussed arguments for God’s existence in the secondary literature. Still, the reception of Craig’s argument among philosophers of religion has been mostly critical. In the interest of developing an argument that more philosophers of religion would be inclined to support, I will lay the philosophical groundwork for a new kalām cosmological argument that, in contrast with Craig’s argument, does (...) not adopt such controversial positions as the dynamic theory of time and the metaphysical impossibility of an actual infinite. (shrink)

In ‘The Kalam Cosmological Argument Neither Bloodied nor Bowed’ , David Oderberg provides four main criticisms of the line of argument which I developed in ‘Time, Successive Addition, and Kalam Cosmological Arguments’ . I argue here that none of these lines of criticism succeeds. Further I re-emphasise the point that those who maintain that the temporal series of past events is formed by ‘successive addition’ are indeed thereby committed to a highly contentious strict finitist metaphysics.

In a recent article in this journal [Phil. Math., II, v.4 (1989), n.2, pp.?- ?] J. Fang argues that we must not be fooled by A.J. Ayer (God rest his soul!) and his cohorts into believing that mathematical knowledge has an analytic a priori status. Even computers, he reminds us, take some amount of time to perform their calculations. The simplicity of Kant's infamous example of a mathematical proposition (7+5=12) is "partly to blame" for "mislead[ing] scholars in the direction of (...) neglecting the temporal element"; yet a brief instant of time is required to grasp even this simple truth. If Kant were alive today, "and if he had had a little more mathematical savvy", Fang explains, he could have used the latest example of the largest prime number (391,581 x 2 216,193 - 1) as a better example of the "synthetic a priori" character of mathematics. The reason Fang is so intent upon emphasizing the temporal character of mathematics is that he wishes to avoid "the uncritical mixing of ... a theology and a philosophy of mathematics." For "in the light of the Computer Age today: finitism is king!" Although Kant's aim was explicitly "to study the 'human' ... faculty", Fang claims that even he did not adequatley emphasize "the clearly and concretely distinguishable line of demarcation between the human and divine faculties.". (shrink)

Many philosophers have argued that the past must be finite in duration because otherwise reaching the present moment would have involved something impossible, namely, the sequential occurrence of an actual infinity of events. In reply, some philosophers have objected that there can be nothing amiss in such an occurrence, since actually infinite sequences are ‘traversed’ all the time in nature, for example, whenever an object moves from one location in space to another. This essay focuses on one of the two (...) available replies to this objection, namely, the claim that actual infinities are not traversed in nature because space, time, and other continuous wholes divide into parts only in so far as we divide them in thought, and thus divide into only a finite number of parts. I grant that this reply succeeds in blunting the anti-finitist objection, but I argue that it also subverts the very argument against an eternal past that it was intended to save. (shrink)

We examine two competing solutions to Benardete paradoxes: causal finitism, according to which nothing can have infinitely many causes, and the unsatisfiable pair diagnosis (UPD), according to which such paradoxes are logically impossible and no metaphysical thesis need be adopted to avoid them. We argue that the UPD enjoys notable theoretical advantages over causal finitism. Causal finitists, however, have levelled two main objections to the UPD. First, they urge that the UPD requires positing a ‘mysterious force’ that prevents (...) paradoxes from arising. Since such a force is implausible, the UPD is in trouble. Second, they employ recombination or patchwork principles to argue that paradoxical situations would be possible if causal finitism were false. Since such situations are not possible, causal finitism is true, and so a substantive metaphysical thesis is needed to avoid the paradoxes. We argue that the UPD proponent can successfully respond to these objections. (shrink)

This article is about the ontological dispute between finitists, who claim that only finitely many numbers exist, and infinitists, who claim that infinitely many numbers exist. Van Bendegem set out to solve the 'general problem' for finitism: how can one recast finite fragments of classical mathematics in finitist terms? To solve this problem Van Bendegem comes up with a new brand of finitism, namely so-called 'apophatic finitism'. In this article it will be argued that apophatic finitism (...) is unable to represent the negative ontological commitments of infinitism or, in other words, that which does not exist according to infinitism. However, there is a brand of infinitism, so-called 'apophatic infinitism', that is able to represent both the positive and the negative ontological commitments of apophatic finitism. Unfortunately, apophatic finitism cannot adopt that way without losing the ability to represent the positive ontological commitments of infinitism. (shrink)

It is widely known that Aristotle rules out the existence of actual infinities but allows for potential infinities. However, precisely why Aristotle should deny the existence of actual infinities remains somewhat obscure and has received relatively little attention in the secondary literature. In this paper I investigate the motivations of Aristotle’s finitism and offer a careful examination of some of the arguments considered by Aristotle both in favour of and against the existence of actual infinities. I argue that Aristotle (...) has good reason to resist the traditional arguments offered in favour of the existence of the infinite and that, while there is a lacuna in his own ‘logical’ arguments against actual infinities, his arguments against the existence of infinite magnitude and number are valid and more well grounded than commonly supposed. (shrink)

In temporal binding, the temporal interval between one event and another, occurring some time later, is subjectively compressed. We discuss two ways in which temporal binding has been conceptualized. In studies showing temporal binding between a voluntary action and its causal consequences, such binding is typically interpreted as providing a measure of an implicit or pre-reflective “sense of agency”. However, temporal binding has also been observed in contexts not involving voluntary action, but only the passive (...) observation of a cause-effect sequence. In those contexts, it has been interpreted as a top-down effect on perception reflecting a belief in causality. These two views need not be in conflict with one another, if one thinks of them as concerning two separate mechanisms through which temporal binding can occur. In this paper, we explore an alternative possibility: that there is a unitary way of explaining temporal binding both within and outside the context of voluntary action as a top-down effect on perception reflecting a belief in causality. Any such explanation needs to account for ways in which agency, and factors connected with agency, have been shown to affect the strength of temporal binding. We show that principles of causal inference and causal selection already familiar from the literature on causal learning have the potential to explain why the strength of people’s causal beliefs can be affected by the extent to which they are themselves actively involved in bringing about events, thus in turn affecting binding. (shrink)

Some philosophers contend that the past must be finite in duration, because otherwise reaching the present would have involved the sequential occurrence of an actual infinity of events, which they regard as impossible. I recently developed a new objection to this finitist argument, to which Andrew Ter Ern Loke and Travis Dumsday have replied. Here I respond to the three main points raised in their replies.

Temporal non-dynamists hold that there is no temporal passage, but concede that many of us judge that it seems as though time passes. Phenomenal Illusionists suppose that things do seem this way, even though things are not this way. They attempt to explain how it is that we are subject to a pervasive phenomenal illusion. More recently, Cognitive Error Theorists have argued that our experiences do not seem that way; rather, we are subject to an error that leads (...) us mistakenly to believe that our experiences seem that way. Cognitive Error Theory is a relatively new view and little has been said to explain why we make such an error, or where, in the cognitive architecture, such an error might creep in. In this paper we remedy this by offering a number of hypotheses about the source of error. In so doing we aim to show that Cognitive Error Theory is a plausible competitor to Phenomenal Illusion Theory. (shrink)

In this paper, building on recent and longstanding work (Warren 2001, Friedman 2013, Glezer 2018), I investigate how the account of the essences or natures of material substances in the Metaphysical Foundations is related to Kant’s demand for the completeness of the system of nature. We must ascribe causal powers to material substances for the properties of those substances to be observable and knowable. But defining those causal powers requires admitting laws of nature, taken as axioms or principles of natural (...) science, which govern anything that can be constructed mathematically or “given as an object of experience” (MAN, 4:474–75). Presenting a complete system of nature requires adumbrating the properties of material substances that can be objects of experience. But it is not possible to show how those properties are involved in explanations of the phenomena without involving the laws that govern interactions between material substances. For Kant, or so I will argue, it is not possible to account for the natures of things, or for the features of laws of nature, independently of each other. The paper will substantiate the Finitist Account (FA) of Kant on laws. The Finitist Account has it that modal judgments about the possible proofs that can be made, or interactions that can be explained, are (1) based on concrete intuitive reasoning and motivated by the desire to avoid appeal to the actual infinite, (2) grounded in finite decision procedures, which are (3) based on reliable systems of axioms or rules of inference. (shrink)

As a philosophy of mathematics, strict finitism has been traditionally concerned with the notion of feasibility, defended mostly by appealing to the physicality of mathematical practice. This has led the strict finitists to influence and be influenced by the field of computational complexity theory, under the widely held belief that this branch of mathematics is concerned with the study of what is “feasible in practice”. In this paper, I survey these ideas and contend that, contrary to popular belief, complexity (...) theory is not what the ultrafinitists think it is, and that it does not provide a theoretical framework in which to formalize their ideas —at least not while defending the material grounds for feasibility. I conclude that the subject matter of complexity theory is not proving physical resource bounds in computation, but rather proving the absence of exploitable properties in a search space. (shrink)

Experiences of motion and change are widely taken to have a ‘flow-like’ quality. Call this ‘temporal qualia’. Temporal qualia are commonly thought to be central to the question of whether time objectively passes: (1) passage realists take temporal passage to be necessary in order for us to have the temporal qualia we do; (2) passage antirealists typically concede that time appears to pass, as though our temporal qualia falsely represent time as passing. I reject both (...) claims and make the case that passage-talk plays no useful explanatory role with respect to temporal qualia, but rather obfuscates what the philosophical problem of temporal qualia is. I offer a ‘reductionist’ account of temporal qualia that makes no reference to the concept of passage and argue that it is well motivated by empirical studies in motion perception. (shrink)

Within the framework of 'Temporalities and the Urban Fabric: Co-Producing Liminal Spaces in Transitional Epochs,' this rigorous examination unravels the multilayered nuances of temporality and its intimate relationship with urban spaces in times of transition. The research delineates the intricate interplay between public exhibitions, urban realms, and socio-political paradigms, particularly within the dynamic settings of the metropolitan entities of Houston and Amsterdam. These cities, as epitomes of temporal urban flux, become fertile grounds for exploring the ephemeral essence of liminal (...) spaces and their transformative manifestations. By weaving together diverse academic domains – from Design Computation and Fabrication to Urban Communities and Spatial Justice – this study underscores the symbiotic fusion of Augmented Reality (AR) and Gamification within the broader canvas of urban temporalities. Crucially, the research accentuates the transformative potential of Extended Reality (XR) in augmenting the theoretical and methodological contours of urban studies within these transitional epochs. (shrink)

Temporal discounting is a technical operation in climate change economics. When discount rates are positive, economic evaluation treats future benefits as less important than equivalent present benefits. This chapter explains and critically evaluates four different reasons economists have given for tying discount rates to the interest rates we observe in real-world markets. I suggest that while philosophers have correctly criticized three of these reasons, their criticisms of the fourth miss the mark. This is because philosophers have not taken heed (...) of the distinct analytical framework in which the fourth reason arises. (shrink)

Causal finitism, the view that the causal history of any event must be finite, has garnered much philosophical interest recently—especially because of its applicability to the Kalām cosmological argument. The most prominent argument for causal finitism is the Grim Reaper argument, which attempts to show that, if infinite causal histories are possible, then other paradoxical states of affairs must also be possible. However, this style of argument has been criticized on the grounds of (i) relying on controversial modal (...) principles, and (ii) providing a false diagnosis of the paradoxes involved. In this paper, I develop a new kind of Grim Reaper argument immune to these criticisms. I show that, by using insights from the literature on time travel, causal finitists should instead argue that infinite causal histories are problematically inexplicable, as they entail the possibility of unexplained foiling mechanisms. The fruits of this paper are that (i) a novel supporting argument for the Kalām is developed, and (ii) along the way of building this argument, it is shown that the literatures on time travel and causal finitism are deeply and intimately connected. (shrink)

In the early twentieth century, many philosophers in America thought that time should be taken seriously in one way or another. George P. Adams (1882-1961) argued that the past, present and future are all real but only the present is actual. I call this theory ‘actualist eternalism’. In this paper, I articulate his novel brand of eternalism as one piece of his metaphysical system and I explain how he argued for the view in light of the best explanations of (...) class='Hi'>temporal experience and the present. I argue that his exploitation of analogies between time and modality offer some lessons for current debates about time such as the importance of providing a temporal epistemology. I also extract what I call the temporal boundary problem and argue that it gives rise to an unaddressed challenge for presentists and growing block theorists. (shrink)

Empirical evidence suggests that people naïvely represent time as dynamical (i.e. as containing robust temporal passage). Yet many contemporary B-theorists deny that it seems to us, in perceptual experience, as though time robustly passes. The question then arises as to why we represent time as dynamical if we do not have perceptual experiences which represent time as dynamical. We consider two hypotheses about why this might be: the temporally aperspectival replacement hypothesis and the moving open future hypothesis. We then (...) empirically test the moving open future hypothesis. According to that hypothesis, we represent the past as objectively fixed and the future open. And we represent that this objective openness moves as events that were open become fixed, such that in doing so, we represent a privileged moving present. We found no evidence for the moving open future hypothesis, which suggests that further investigation of the temporally aperspectival replacement hypothesis is called for. Our results also shed further light on our understanding of the respects in which we represent the future to be open, which, in turn, has implications for our theorising about the open future. (shrink)

Empirical evidence suggests that a majority of people believe that time robustly passes, and that many also report that it seems to them, in experience, as though time robustly passes. Non-dynamists deny that time robustly passes, and many contemporary non-dynamists—deflationists—even deny that it seems to us as though time robustly passes. Non-dynamists, then, face the dual challenge of explaining why people have such beliefs and make such reports about their experiences. Several philosophers have suggested the stable-self explanation, according to which (...) what partly explains one or both of the explananda is that people believe themselves to have a stable persisting self which is imagined either as moving through time, or as being stationary, with time moving around it. This paper empirically investigates this explanation. We found, however, no evidential support for the stable-self explanation, leaving the non-dynamist but also, we will argue, the dynamist, with an extant explanatory challenge. (shrink)

Strict finitism is the position that only those natural numbers exist that we can represent in practice. Michael Dummett, in a paper called Wang’s Paradox, famously tried to show that strict finitism is an incoherent position. By using the Sorites paradox, he claimed that certain predicates the strict finitist is committed to are incoherent. More recently, Ofra Magidor objected to Dummett’s claims, arguing that Dummett fails to show the incoherence of strict finitism. In this paper, I shall (...) investigate whether Magidor is successful in preventing Dummett from proving the incoherence of strict finitism. Though not all the counterarguments Magidor presents are successful, she does in the end manages to corner Dummett. There remains a small opportunity for Dummett to insist on the incoherence of strict finitism, but this is a very small opening. The final conclusion of this paper is that Dummett cannot logically prove the incoherence of strict finitism, even though not all hope is lost. (shrink)

Common wisdom, philosophical analysis and psychological research share the view that memory is subjectively positioned toward the past: Specifically, memory enables one to become re-acquainted with the objects and events of his or her past. In this paper I call this assumption into question. As I hope to show, memory has been designed by natural selection not to relive the past, but rather to anticipate and plan for future contingencies -- a decidedly future-oriented mode of subjective temporality. This is not (...) to say memory makes no reference to the past. But, I argue, past-oriented subjectivity is a by-product of a system designed by natural selection to help us face and respond to the "now and the next". I discuss the implications of the proposed temporal realignment for research agendas as well as the potential limitations of measures designed to explore memory by focusing on its retentive capabilities. (shrink)

Lee Smolin wants to convince physicists that time is real. His biggest problem is that he does not know what time is—its intrinsic nature and its basis in the universe. He cannot answer the questions: What is time? Why does time exist? and Why does time have the specific qualities that it has? As a result, in this essay Smolin does not focus very much on time itself. Instead, he focuses on discussion of extraneous issues and unrealistic speculations. He wants (...) to promote temporal naturalism, but does so by contrasting it with timeless naturalism, the block universe view of time, which is an unrealistic fiction. He brings up timeless naturalism, panpsychism, and relationalism, all of which distract from any attempt to show that time is real. This paper clarifies why these extraneous issues have no place in a discussion of the reality of time. Further, Smolin believes there is no such thing as the scientific method, which blocks him from any realistic attempt to understand time. Included here is a description of the scientific method and why that method is required to achieve an understanding of time. (shrink)

Several philosophers have suggested that certain aspects of people’s experience of agency partly explains why people tend to report that it seems to them, in perceptual experience, as though time robustly passes. In turn, it has been suggested that people come to believe that time robustly passes on the basis of its seeming to them in experience that it does. We argue that what require explaining is not just that people report that it seems to them as though time robustly (...) passes, and that they believe that it does, but rather, the substantial variation (a) in people’s reports regarding whether it seems as though time robustly passes, and (b) their beliefs about whether time robustly passes. We empirically investigate the agentive explanation of (a), according to which variation in people’s agentive experiences explains variation in people’s reports regarding whether it seems to them as though time robustly passes. We also empirically investigate the experiential seeming explanation of belief, according to which variation in people’s beliefs about whether time robustly passes is explained by variation in their reports regarding whether it seems in experience as though time robustly passes. We found empirical support for the agentive explanation, but not for the experiential seeming explanation of passage beliefs. We consider the implications of our results for three views about temporal experience and temporal beliefs: dynamism, passage illusionism and deflationism. (shrink)

Philosophical accounts denying that temporal passage is an objective feature of reality face an explanatory challenge with respect to why it appears to us as though time passes. Recently, two solutions have surfaced. Cognitive illusionism claims that people experience the passage of time due to their belief that time passes. Cognitive error theory claims that we do not experience the passage of time, but hold the belief that we do, which we have acquired through making an inference from the (...) prior belief that time passes. These approaches suppose that belief and passage experience are explanatorily connected, and they depend on the claims that people who experience the passage of time or at least believe that they do also believe that time passes. To test these claims, we probed the beliefs of populations of individuals with depression and schizotypy, thus conditions that are strongly associated with alterations in temporal phenomenology. Depression was assessed with the Beck Depression Inventory (BDI) and schizotypy with the short Oxford-Liverpool Inventory of Feelings and Experiences (O-LIFE). While cognitive illusionism and inferentialist cognitive error theory would predict a strong association between BDI and O-LIFE scores and beliefs about time passage, our study found no such association. The experience of passage does not seem to be explanatorily connected to beliefs about the passage of time. (shrink)

This chapter discusses some aspects of the relation between temporal experience and the A versus B debate. To begin with, I provide an overview of the A versus B debate and, following Baron et al. (2015), distinguish between two B-theoretic responses to the A- theoretic argument from experience, veridicalism and illusionism. I then argue for veridicalism over illusionism, by examining our (putative) experiences as of presentness and as of time passing. I close with some remarks on the relation between (...) veridicalism and a deflationary view of the A versus B debate. I suggest that the deflationary view can provide further support for veridicalism. (shrink)

This is an excerpt from a report on the Temporal Experience Workshop at the University of Toronto in May of 2013. This portion of the report explores the question: What can we learn about the nature of time from the nature of ordinary experience?

Temporal externalists argue that ascriptions of thought and utterance content can legitimately reflect contingent conceptual developments that are only settled after the time of utterance. While the view has been criticized for failing to accord with our “ordinary linguistic practices”, such criticisms (1) conflate our ordinary ascriptional practices with our more general beliefs about meaning, and (2) fail to distinguish epistemically from pragmatically motivated linguistic changes. Temporal externalism relates only to the former sort of changes, and the future (...) usage relevant to what we mean reflects reason-driven practices that are rational for us to defer to. (shrink)

Temporal experience and its radical alteration in schizophrenia have been one of the central objects of investigation in phenomenological psychopathology. Various phenomenologically oriented researchers have argued that the change in the mode of temporal experience present in schizophrenia can foreground its psychotic symptoms of delusion. This paper aims to further the development of such a phenomenological investigation by highlighting a much-neglected aspect of schizophrenic temporal experience, i.e., its non-emotional affective characteristic. In this paper, it denotes the type (...) of an experience wherein an afflicted individual experiences a pervasive pull or attraction coming from the past, present, and future. By employing Husserl’s account of affection, I argue that such an affectively prominent temporal experience is not yet another abnormality that happens to be present in schizophrenia. Instead, it is indicative of the core disturbance that underpins the schizophrenic temporal mode of experience. I identify such a disturbance as ‘affective modification dysfunction’ and employ it as a core concept with which I synthesize and organise heterogeneous components of schizophrenic temporal experience in their conceptual unity. For the sake of clear description, I organise those components into the following categories: 1.) Time Stop 2.) Ante-festum 3.) Déjà vu/vécu and 4.) Time Fragmentation. I conclude by demonstrating how approaching schizophrenic temporal experience from its affective dimension can further help us better understand its pre-psychotic phase known to precipitate schizophrenic primary delusion, i.e., delusional mood. (shrink)

It is not uncommon in time travel stories to find that the mechanism by which the time travel is achieved is not invented. A time traveller could journey to his/her own past and give the designs of the time travel machine to his/her earlier self as s/he was given the designs as a younger person. These designs never get thought up by anyone. Such a situation would conflict with the usual conception of the acquisition of knowledge. This situation is called (...) the Temporal Epistemic Anomaly and would arise if knowledge is gained at a time prior to the information in question being transmitted but is not discovered or invented at any time. This article examines the implications of information propagating around a causal chain that is closed in time (which is required to create the Anomaly) and whether this information need have a specific origin point. (shrink)

I discuss the general form of arguments that profess to prove that the view that things endure in tensed time through causally produced change (the dynamic view) must be false because it involves contradictions. I argue that these arguments implicitly presuppose what has been called the temporal parity thesis, i.e. that all moments of time are equally existent and real, and that this thesis must be understood as the denial of the dynamic view. When this implicit premise is made (...) explicit, the arguments turn out to be either circular, they presuppose what they profess to prove, or mere demonstrations of the fact that the dynamic view is incompatible with its own negation. Furthermore, I discuss the metaphysical consequences of accepting the temporal parity thesis, arguing that it deprives us of the means to provide natural explanations to empirical phenomena. (shrink)

Theoretical applications of time and temporality remain a key consideration for both climate scientists and the humanities. By way of extending this importance, we critically examine Timothy Morton’s proposed “ecological awareness” alongside Slavoj Žižek’s “parallax view”. In doing so, the article introduces a “past-present parallax” in order to contest that, while conceptions of the past are marked by “lack”, equally, our conceptions of and relations to Nature remain grounded in an ontological incompleteness, marked by contingency. This novel approach presents an (...) ecological awareness that remains temporally attuned to the impasses and inconsistencies which frame our relations in/with Nature. (shrink)

In the 1920s, David Hilbert proposed a research program with the aim of providing mathematics with a secure foundation. This was to be accomplished by first formalizing logic and mathematics in their entirety, and then showing---using only so-called finitistic principles---that these formalizations are free of contradictions. ;In the area of logic, the Hilbert school accomplished major advances both in introducing new systems of logic, and in developing central metalogical notions, such as completeness and decidability. The analysis of unpublished material presented (...) in Chapter 2 shows that a completeness proof for propositional logic was found by Hilbert and his assistant Paul Bernays already in 1917--18, and that Bernays's contribution was much greater than is commonly acknowledged. Aside from logic, the main technical contribution of Hilbert's Program are the development of formal mathematical theories and proof-theoretical investigations thereof, in particular, consistency proofs. In this respect Wilhelm Ackermann's 1924 dissertation is a milestone both in the development of the Program and in proof theory in general. Ackermann gives a consistency proof for a second-order version of primitive recursive arithmetic which, surprisingly, explicitly uses a finitistic version of transfinite induction up to www . He also gave a faulty consistency proof for a system of second-order arithmetic based on Hilbert's &egr;-substitution method. Detailed analyses of both proofs in Chapter 3 shed light on the development of finitism and proof theory in the 1920s as practiced in Hilbert's school. ;In a series of papers, Charles Parsons has attempted to map out a notion of mathematical intuition which he also brings to bear on Hilbert's finitism. According to him, mathematical intuition fails to be able to underwrite the kind of intuitive knowledge Hilbert thought was attainable by the finitist. It is argued in Chapter 4 that the extent of finitistic knowledge which intuition can provide is broader than Parsons supposes. According to another influential analysis of finitism due to W. W. Tait, finitist reasoning coincides with primitive recursive reasoning. The acceptance of non-primitive recursive methods in Ackermann's dissertation presented in Chapter 3, together with additional textual evidence presented in Chapter 4, shows that this identification is untenable as far as Hilbert's conception of finitism is concerned. Tait's conception, however, differs from Hilbert's in important respects, yet it is also open to criticisms leading to the conclusion that finitism encompasses more than just primitive recursive reasoning. (shrink)

This report highlights and explores four questions that arose from the workshop on temporal experience at the University of Toronto, May 20th and 21st, 2013.

In this paper I consider an objection that friends of the Metaphysic of Temporal Parts (MTP) press against other solutions to the problem of temporary intrinsics and turn it against the MTP itself. I do not argue that the MTP must be false, nor do I argue that there are no arguments in favor of the MTP. Rather, the conclusion I draw is conditional: if the MTP provides an adequate response to the problem of temporary intrinsics, then the MTP (...) provides no reason to reject our commonsense view of the nature of material objects. (shrink)

ABSTRACTTime-consciousness has long been a focus of research in phenomenology and phenomenological psychology. We advance and extend this tradition of research by focusing on the character of temporal experience under conditions of mania. Symptom scales and diagnostic criteria for mania are peppered with temporally inflected language: increased rate of speech, racing thoughts, flight-of-ideas, hyperactivity. But what is the underlying structure of temporal experience in manic episodes? We tackle this question using a strategically hybrid approach. We recover and reconstruct (...) three hypotheses regarding manic temporality that were advanced and modeled by two pioneers of clinical phenomenology: Eugène Minkowski and Ludwig Binswanger. We then test, critique, and refine these hypotheses using heterophenomenological methods in an interview-based study of persons with a history of bipolar and a current diagnosis of acute mania. Our conclusions support a central hypothesis due to Minkowski... (shrink)

According to Leininger, presentists and growing blockers cannot explain why past and present regularities persist in the future. In order to do so, they would have to appeal to enforcers, such as causation, laws or dispositions. But in a world with no future, these enforcers are powerless and cannot guarantee future regularity. I disagree and argue that Leininger’s coordination problem can be met by distinguishing type- from token-level necessitation. Whereas token-level necessitation is cross-temporal and subject to Leininger’s coordination problem, (...) type-level necessitation is atemporal and immune to the coordination problem. For this solution to work, though, type-level necessitation must be ontologically prior to token-level necessitation. This forces us to adopt a Platonist position according to which universals are transcendent, and not immanent. (shrink)

Global directional eliminativists deny that there is any global direction to time. This paper provides a way to understand everyday temporal assertions—assertions made outside the physics or metaphysics rooms, the truth of which appears to require that time has a global direction—on the assumption that global directional eliminativism is true.

Our ascriptions of content to utterances in the past attribute to them a level of determinacy that extends beyond what could supervene upon the usage up to the time of those utterances. If one accepts the truth of such ascriptions, one can either (1) argue that subsequent use must be added to the supervenience base that determines the meaning of a term at a time, or (2) argue that such cases show that meaning does not supervene upon use at all. (...) The following will argue against authors such as Lance, Hawthorn and Ebbs that first of these options is the more promising of the two. However, maintaining the supervenience thesis ultimately requires understanding the relation between use and meaning as 'normative' in two important ways. The first (more familiar) way is that the function from use to meaning must be of a sort that allows us to maintain a robust distinction between correct usage and actual usage. This first type of normativity is accepted by defenders of many more temporally restricted versions of the supervenience thesis, but the second sort of normativity is unique to theories that extend the supervenience base into the future. In particular, if meaning is partially a function of future use, we can understand other commitments we are often taken to have about meaning, particularly the commitment to meaning being 'determinate', as practical commitments that structure our linguistic practices rather than theoretical commitment that merely describe such practices. (shrink)

I defend a new argument for causal finitism, the view that nothing can have an infinite causal history. I begin by defending a number of plausible metaphysical principles, after which I explore a host of novel variants of the Littlewood-Ross and Thomson’s Lamp paradoxes that violate such principles. I argue that causal finitism is the best solution to the paradoxes.

This paper examines the intersecting of the themes of temporality and truth in Deleuze's philosophy. For the ancients, truth was something eternal: what was true was true in all times and in all places. Temporality (coming to be and passing away) was the realm of the mutable, not the eternal. In the seventeenth century, change began to be seen in a positive light (progress, evolution, and so on), but this change was seen to be possible only because of the immutable (...) laws of nature that govern change. It was not until philosophers such as Bergson, James, Whitehead – and then Deleuze – that time began to be taken seriously on its own account. On the one hand, in Deleuze, time, freed from its subordination to movement, now becomes autonomous: it is the pure form of change (continuous variation) that lies at the basis of Deleuze's metaphysics in Difference and Repetition (and is explored more thematically in The Time-Image). As a result, on the other hand, the false, freed from its subordination to the form of the true, assumes a power of its own (the power of the false), which in turn implies a new ‘analytic of the concept’ that Deleuze develops in What Is Philosophy? (shrink)

Studies of visual event individuation often consider people's representations of activities involving agents performing complex tasks. Concomitantly, theories of event individuation emphasize predictions about agents' intentions. Studies that have examined simple, non-agential occurrences leave open the possiblity that principles of visual object individuation play a role in visual event individuation. Unearthing principles that may be sufficient for event individuation which are distinct both from predictions about agents' intentions and from visual object individuation, we draw on and extend studies that reveal (...) object and event representation to be deeply analogous in our cognitive economy. We provide evidence that ‘temporal shaping' is a sufficient low-level perceptual criterion for the visual individuation of events. In our study, temporal shaping is effected by the introduction of pauses into an otherwise continuous process. Future studies should address other visual mechanisms for introducing temporal shaping (e.g., color changes). (shrink)

I assess a number of connected ideas about temporal experience that are introspectively plausible, but which I believe can be argued to be incorrect. These include the idea that temporal experiences are extended experiential processes, that they have an internal structure that in some way mirrors the structure of the apparent events they present, and the idea that time in experience is in some way represented by time itself. I explain how these ideas can be developed into more (...) sharply defined views, and then argue that these views are inconsistent with certain empirical facts about how time is represented in the brain. These facts instead support a kind of atomic view, on which temporal experiences are temporally unstructured atoms. (shrink)

Melancholia is an attunement of despair and despondency that can involve radical disruptions to temporal experience. In this article, I extrapolate from the existing analyses of melancholic time to examine some of the important existential implications of these temporal disruptions. In particular, I focus on the way in which the desynchronization of melancholic time can complicate the melancholic’s relation to death and, consequently, to the meaning and significance of their life. Drawing on Heidegger’s distinction between death and demise, (...) I argue that melancholic time leaves the melancholic in an impossible state of existing, where they are both unable to live and unable to die. Turning to the role of the physician, I consider the significant role that clinical interventions might have in resynchronizing the melancholic with time and examine these ideas further through a case study on physician-assisted suicide. In so doing, I demonstrate that the desynchronization of melancholic time should indeed be understood as a matter of life and death. (shrink)

Most philosophers believe that we have experiences as of temporally extended phenomena like change, motion, and succession. Almost all theories of time consciousness explain these temporal experiences by subscribing to the doctrine of the specious present, the idea that the contents of our experiences embrace temporally extended intervals of time and are presented as temporally structured. Against these theories, I argue that the doctrine is false and present a theory that does not require the notion of a specious present. (...) Furthermore, I argue that the different aspects of temporal experiences arise from different mechanisms operating separately. If the theory is true, then temporal experiences do not tell us anything special about the nature of consciousness and its temporal properties per se. (shrink)

This paper aims to determine whether we can locate temporal passage in a non-dynamical (block universe) world. In particular, we seek to determine both whether temporal passage can be located somewhere in our world if it is non-dynamical, and also to home in on where in such a world temporal passage can be located, if it can be located anywhere. We investigate this question by seeking to determine, across three experiments, whether the folk concept of temporal (...) passage can be satisfied in our world if it is non-dynamical, and, if it can, what sort of thing in our world satisfies that concept. In particular, we focus on the question of whether that concept (if satisfied) is satisfied by something mind-dependent or something mind-independent. In other words, we ask, is temporal passage something that is at least partially in the mind, or is it entirely external to the mind? We find, contrary to what is often assumed by dynamists and non-dynamists alike, that the folk concept of temporal passage is satisfied in our world conditional on it being non-dynamical, and that the concept is satisfied by something mind-independent. This provides further ammunition for recent deflationary accounts of temporal passage that attempt to locate passage somewhere in our non-dynamical world. (shrink)

This paper argues that 'duality' accounts of time, as exemplified by Henri Bergson's, Edmund Husserl's, and John McTaggart's ideas, parallel the decomposition of temporal experience in depressive psychosis into objective and subjective dimensions of time. The paper also proposes to comprehend the full-fledged depressive temporal delusion, in which the subjective flow of time comes to a standstill, via the idea of a double orientation to reality characteristic of schizophrenic delusions. In the depressive temporal delusion a person claims (...) that time is not moving while simultaneously her cognitive orientation in temporal surroundings remains largely unaffected, hence the double orientation. The juxtaposition of temporal experience in depression with the temporal disorientation in dementia enables us to situate the depressive delusion regarding the flow of time in the middle of a proposed scale of the disintegration of normal temporal experience. (shrink)