Walter Burley is the author of a treatise, entitled De primo et ultimo instanti, which is regarded as the most popular medieval work on the problem of assigning first and last instants of being to permanent things. In this paper, however, the author does not deal with this treatise directly. She looks instead at Burley’s Physics commentary to see how he applies the ideas presented in De primo et ultimo instanti to the solution of an Aristotelian puzzle about the (...) ceasing to be of the present instant. In Burley’s interpretation, the relevant question raised by the puzzle is whether the present instant ceases to be when it is or when it is not. While Aristotle’s argument quickly dismisses the first alternative as absurd, Burley defends it by appealing to the ‘expositions’ of sentences about ceasing. Given that the sentence ‘this instant ceases to be’ has two expositions— ‘this instant now is and immediately afterwards will not be’ or ‘this instant now is not and immediately beforehand was’ —Burley maintains that the sentence is true in exposition but not true in exposition, so that an instant ceases to be when it is and not when it is not. (shrink)

Plato's view on time, a key aspect of his doctrine of forms, is influenced by his reception of Parmenides, but the way in which Plato takes up and modifies Parmenides' view is a matter of ongoing scholarly debate. In this article, the author analyzes Plato's revision of Parmenidean time by exploring four temporalities: the eternal present, timeless eternity, the enduring present, and the instant between time and eternity. Through this examination, she uncovers the common origin of both (...) the eternal present of Parmenides' fragment B8 and the flowing present of the phenomenal realm in the instant (ἐξαίφνης) in Plato's Parmenides. This perspective on time offers a promising solution to Plato's problem of participation, bridging the gap between the eternal being of the form and the being in time of the particulars. (shrink)

In this paper I argue that warrant for Lewis’ principle of recombination presupposes warrant for a combinatorial analysis of intrinsicality, which in turn presupposes warrant for the principle of recombination. This, I claim, leads to a vicious circularity: warrant for neither doctrine can get off the ground.

Are past, present and future objective features of reality? What is an instant of time? Could time pass if nothing changed? In this book, the author attempts to show how considerations in the philosophy of logic and language are needed to settle these and other well-known issues. Part I deals with the debate over whether time is 'tensed' or 'tenseless'. Various problems are spelt out for the 'tenseless' view, and it is argued that the issue ends up (...) hinging upon whether a genuinely tenseless language is conceivable. Part II has to do with periods and instants. The semantics of dates and of duration-terms are examined, and the notion of a durationless instant attacked. In Part III, the connections between time, change and causation are discussed. A criterial approach to the meanings of certain key temporal terms is adopted, yielding answers to a number of traditional metaphysical issues about time. (shrink)

I Ricœur's account of the distinction between phenomenological and cosmological time My theme concerns the notions of time and space in Ricœur's thought with special emphasis on its relation to Phenomenology. As I understand it, in Temps et récit and again in La mémoire, l'histoire, l'oubli Ricœur proposes an opposition between subjective/phenomenological time and objective/cosmological time. In La mémoire, l'histoire, l'oubli he introduces a parallel distinction between lived space and geometrical space. We can state Ricœur's position (...) in Husserlian terms and say that he is developing different regional ontologies, while I shall argue in these remarks that a certain fundamental ontology is required which will unify these different notions of space and different notions of time. Cosmic time is characterised by Ricœur as constituted by the distinction between earlier and later and by a general notion of the instant. The phenomenological notion of time is characterised by the distinction between the past and the future and its privileged instant is the present. In the third part of Temps et récit Ricœur argues for the autonomy of each notion. This autonomy is a necessary step in developing a third notion of historical time as a bridge between these two notions, the cosmic and the phenomenological. (shrink)

Debating the nature of time, this collection of essays includes both the physicist's and the philosopher's viewpoint, questioning whether time exists, whether it is absolute or relative and whether it is continuous or fragmented.

Central to Perelman and Olbrechts-Tyteca’s philosophical revival of rhetoric and dialectic is the importance given to the temporal character of argumentation. Unlike demonstration, situated within the “empty time” of a single instant, the authors of The New Rhetoric understand argumentation as an action that unfolds within the “full time” of meaningful human life. By taking a broader view of his work beyond The New Rhetoric, I first outline Perelman’s understanding of time and temporality and the challenge that (...) it poses for the study of argumentation. Next, I emphasize the distinction between argumentation’s internal and external temporal structures, and then show how Perelman problematizes a static view of a number of basic argumentative concepts by bringing out their essentially temporal character. Finally, in clarifying what is at stake in Perelman’s account, I conclude by drawing attention to a number of issues in contemporary argumentation studies that may benefit from a reconsideration of Perelman’s analysis of time. (shrink)

: Usually, when studying schematism we devote almost exclusive attention to the study of the modifications that the categories suffer when combined with time. Instead, we have focused our attention on the determinations that time receives when combined with the categories. Departing from the definition of the transcendental schemata as “determinations of time”, an attempt is made to establish the various determinations that time receives from each one of the categories, as these perform the determination of (...) time in schematism. The categories of quantity allow us to think of time as a series of homogeneous unities; the categories of quality show each instant of time as a receptacle able to receive the different intensities of the real; the categories of relation establish a rule-dependent order on the flow of time; finally, the categories of modality determine the whole of time forming a collective unity that gathers or embraces each one of the instants of time preserving its specificity. (shrink)

The rotating spot method of timing subjective events involves the subject’s watching a rotating spot on a computer and reporting the position of the spot at the instant when the subjective event of interest occurs. We conducted an experiment to investigate factors that may impact on the results produced by this method, using the subject’s perception of when they made a simple finger movement as the subjective event to be timed. Seven aspects of the rotating spot method were investigated, using (...) a factorial experiment. Four of these aspects altered the physical characteristics of the computer generated spot or clock face and the remaining three altered the instructions given to the participant. We found compelling evidence that one factor, whether the subject was instructed to report the instant when the finger movement was initiated or the instant when it was completed, resulted in a systematic shift in the response. Evidence that three other factors affect the observed variability in the response was also found. In addition, we observed that there are substantial systematic differences in the responses made by different subjects. We discuss the implications of our findings and make recommendations about the optimal way of conducting future experiments using the rotating spot method. Our overall conclusion is that our results strongly validate the rotating spot method of timing at least the studied variety of subjective event. (shrink)

As we speak about time in the context of everyday life, we have no problem with what we mean by time. We take time as given. Different kinds of theories of development rely on the ordinary concept of time. Time is a sequence of instants, and we are moving along from the past to the future, from birth to death. Moving in time also means development. It does not take into account how a (...) human being is in the time. It flattens our view of human life and cannot describe our manifold being. According to theories of development, if a child does not behave in a certain instant as the theories expect, there must be a problem with that child or she has not developed as well as others. Heidegger uses terms like time-space, temporality and ecstases of time. The question of time is of the same kind as the question of Being. We are in the world and in time in the same way. We all have experience of time, how it sometimes goes quickly and sometimes very slowly. Time is not experienced as moments one after another. It is time-space. Time-space means that time has three dimensions and it consists of the ecstatical opening up of the future, the past and the present. In this article, I will open up the question how the traditional understanding of time and the ecstatic understanding of time understand children differently. What does it mean that little children live exclusively in the present? (shrink)

Instead of accepting instants of time as metaphysically basic entities, many philosophers regard them as abstractions from something else. There is the Russell-Whitehead view that times are maximal classes of simultaneous events; the linguistic ersatzer's proposal that times are maximally consistent sets of sentences or propositions; and the view that times are made up of temporal parts of material objects. This paper discusses the advantages and disadvantages of these various proposals and concludes in favor of a particular version (...) of linguistic ersatzism about time. (shrink)

In this paper I explore three related topics emerging from Prior's work on the logic of time. First, what is the proper province of logic, if any? Is temporal (modal) logic just logic, on a par with the paradigmatic case of first-order quantification theory or even simple propositional logic? Second, what counts as an interpretation of a formal system? In particular, can formal semantics provide an interpretation? Third, what is the proper role of the meta-theory? In connection with this (...) last question we will see how Prior's attitude towards instants of time may teach us something about the analogous case of possible worlds. (shrink)

Clarice Lispector puts forth nothing less than a complete philosophy of time in her writings, that is, a cohesive philosophical examination of what time is, of its physics and metaphysics, of how humans and animals perceive time, and even an innovative aesthetic theory in which time is the inspiring force giving rise to literary and artistic creation. Her view of time is unique in the Western philosophical canon, offering original solutions to many of time’s (...) classic difficulties. For Lispector, time is pure actuality. Reality is an unwavering present that never stops being, is fully material, and is ceaselessly attentive to itself. The present, matter, and attention form the unquestionable unit of the real and the core of Lispector’s philosophy of time. Supporting this structure is her inventive metaphysics of time, anchored in her notion of the “fourth dimension of the instant-now,” which is given close attention. (shrink)

The article discusses the relation between two intuitive properties of time, namely its flow and branching. Both properties are introduced first in an informal way and compared. The conclusion of this informal analysis is that the two properties do not entail each other nor are they in contradiction. In order to verify this, we briefly introduced the branching temporal structures called branching space-time, branching continuation and their versions Minkowski branching structure and branching time with Instants. Two (...) possible ways how to formalize flow of time are given, one based on the definition of flow of time from temporal logics and the other based on relativistic physics. The latter is used to define flow of time with the use of linearly ordered points on worldines while respecting the ontological definiteness given by the difference of the past and the future. This is formalized in each of the branching models and it is concluded by comparing the resulting properties that branching and flow, even in the formal sense, do not entail each other. However, notions connected with flow of time represent a useful basis for semantics of the branching models. (shrink)

This chapter examines some issues concerning the structure of time. It considers arguments for and against Temporal Finitism. Temporal Discretism is a kind of Finitism: any finitely extended interval is made up of only finitely many indivisible units of time. In the chapter, the authors assume for the sake of argument that Intervalism is true, that is, that some temporally extended intervals and processes are among the world's fundamental entities. The main argument for Intervalism is that it follows (...) from the metaphysical impossibility of certain infinitary scenarios involving super‐tasks. Strong Intervalism denies that instants are fundamental, while Moderate Intervalism, or Interval‐Boundary Dualism, embraces the fundamentality of both instants and intervals. Infinitary Intervalism is relative to the three competing theories of Aristotelian Temporal Finitism, Temporal Discretism, and Instantism. In the chapter, the authors also assume that all Intervalists are either Discretists or Aristotelian Finitists, and that all Instantists are Temporal Infinitists. (shrink)

Our model of time is the classical continuum of real numbers, and our model of other measurable quantities that change over time is that of functions defined on real numbers with real numbers as values. This model is not derived from reality or from our experience of it, but imposed on reality; and the fit is very imperfect. In classical mathematics, the value of a function for any real number as argument is independent of its value for any (...) other argument: the analogue is Hume's doctrine that events are loose and separate. This makes continuity in the change of any quantity a contingent law of physica, rather than a conceptual necessity. The article explores alternatives to this classical model. (shrink)

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)

N. Maxwell (1985) has claimed that special relativity and "probabilism" are incompatible; "probabilism" he defines as the doctrine that "the universe is such that, at any instant, there is only one past but many alternative possible futures". Thus defined, the doctrine is evidently prerelativistic as it depends on the notion of a universal instant of the universe. In this note I show, however, that there is a straightforward relativistic generalization, and that therefore Maxwell's conclusion that the special theory of relativity (...) should be amended is unwarranted. I leave open the question whether or not probabilism (or the related doctrine of the flow of time) is true, but argue that the special theory of relativity has no fundamental significance for this question. (shrink)

Many philosophers hold that ‘one-instant worlds’—worlds that contain a single instant—fail to contain time. We experimentally investigate whether these worlds satisfy the folk concept of time. We found that ~50% of participants hold that there is time in such worlds. We argue that this suggests one of two possibilities. First, the population disagree about whether at least one of the A-, B-, or C-series is necessary for time, with there being a substantial sub-population for whom the (...) presence of neither an A-, B-, nor C-series, is necessary for time, and hence those folk have a radically more minimal concept of time than has been attributed to them by philosophers. Or, second, the population do not disagree about whether at least one of the A-, B-, or C-series is necessary for time, but disagree about what it takes for a world to fail to contain even a C-series. (shrink)

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)

This paper aims to investigate the temporal content of perceptual experience. It argues that we must recognize the existence of temporal perceptions, i.e., perceptions the content of which cannot be spelled out simply by looking at what is the case at an isolated instant. Acts of apprehension can cover a succession of events. However, a subject who has such perceptions can fall short of having a concept of time. Similar arguments have been put forward to show that a subject (...) who has spatial perceptions can fall short of having a concept of space. In both cases, it is the fact that perception is from a point of view which stands in the way of it constituting an exercise of a concept of how things are objectively. However, the paper also shows that the way in which perception is perspectival takes a different form in each of the two cases. (shrink)

The article provides a comparative analysis of the perception of time in Europe and China. Time is considered as one of the fundamentals of mentality. The author presents the specifics of mythological time, distinguishing sacred and profane times and analyzing the correlation between time, space, things, and their repetition. European logos time, which becomes mainstream in Modern Times, is examined. The article describes the postmodern period that took shape in the 20th and early 21st centuries. (...) The formation and contemporary image of time in China is traced in detail. This perception of time suddenly turns out to be the most relevant to today’s needs: in Chinese culture, time and space are closely connected, linearity is combined with cyclicality, involvement is combined with distancing, immovability and the ability to wait for the right moment – with an instant reaction. In Chinese culture, innovations are introduced under the guise of tradition, and activism, which has always been especially emphasized as the specificity of the modern Europe, as it turns out, is the most important characteristic of the Chinese. Under modern “network” conditions, the substantial understanding of things, which is characteristic of European culture, has given way to a networking perception, which is specific to the Chinese. This is a network in which interactions are carried out simultaneously and in different directions. By itself, a comparative analysis of mentalities yields important results and allows to draw far-reaching conclusions that are essential for understanding both the European and Chinese visions of the world. In conclusion, it becomes clearer what features of the Chinese mentality made possible not only the entry of China into the group of developed countries but also its transformation into one of the leaders among the world powers. (shrink)

In a previous paper it was suggested that specific concepts are needed in the psychological sciences and the basic mental triad was described as a useful tool to further our understanding of mentation. It was stated that the sensori-motor reflex principle cannot describe and explain mental phenomena, because the reflex is basically a mechanistic occurrence, while mental phenomena differ in essence from mechanisms. Since conditioned reflexes can be conceived as sensori-motor reflexes with another, non-mechanistic factor superimposed, similarities and contrasts between (...) reflexes and conditioned reflexes were taken as the material from which one can develop new thoughts about mentation. Reflex shutting of the eyelid, caused by direct contact between cornea and a small, invisible foreign body was compared with and contrasted to shutting the eye before a large, visible object thrusting toward the eye. It was shown that reflexes occur in response to a stimulus after the stimulus has been applied, while conditioned reflexes seem to anticipate the stimulus. This was taken as evidence that conditioned reflexes have a protensive character, have a relationship to the future, which sensori-motor reflexes lack. This difference in time relationship was developed into the statement that the difference between mechanisms and mental phenomena lies in their different relationship to the future. The need for specific concepts to describe mental phenomena stems from the inability of the reflex principle to deal with the protensive tendency of mental phenomena and to fill this need the concept of the basic mental triad was offered. This principle consists of three interdependent, interwoven phases: the triad connects with the past through condensation of some of the subject's past experience into a vaguely formed conglomerate; it connects with the future by projecting the condensed past into the future; the central phase of the triad is the act within the present instant, where a synthesis of past, present and future is accomplished. (shrink)

Charles Sanders Peirce is best known as the founder of pragmatism, but the name that he preferred for his overall system of thought was ‘‘synechism’’ because the principle of continuity was its central thesis. He considered time to be the paradigmatic example and often wrote about its various aspects while discussing other topics. This essay draws from many of those widely scattered texts to formulate a distinctively Peircean philosophy of time, incorporating extensive quotations into a comprehensive and coherent (...) synthesis. Time is not an existential subject with past, present, and future as its incompatible predicates, but rather a real law enabling things to possess contrary qualities at its different determinations, and Peirce identifies four classes of such states based on when and how they are realized. Because time is continuous, it is not composed of instants, and even the present is an indefinite lapse during which we are directly aware of constant change. The accomplished past is perpetually growing as the possibilities and conditional necessities of the future are actualized at the present, and the entire universe evolves from being utterly indeterminate toward being absolutely determinate. Nevertheless, time must return into itself even if events are limited to only a portion of it, a paradox that is resolved with the aid of projective geometry. Temporal synechism thus touches on a broad spectrum of philosophical issues including mathematics, phenomenology, logic, and metaphysics. (shrink)

The standard account of the micro-structure of time is based on Cantor’s conception of continuity and thus views the time line as consisting of undenumerably many instants ordered by the B-theoretic earlier than relation. This may seem problematic for an A-theory of time such as presentism, according to which only what is present exists, for it seems to leave no room for the instants of a Cantorean time line. This paper defends a version of (...) presentism that can accommodate the Cantorean conception and more generally any approach to the micro-structure of time based on durationless instants. (shrink)

The plane of the present is a concept that is useful for discussing the various paradigms of time. Here by ‘plane of the present’ we mean the temporal interface that represents the present instant and that forms the boundary between the past and the future. We use the geometrical term ‘plane’ to indicate an extended surface in the space-time continuum, as opposed to a ‘point’ on some time axis. This point/plane dichotomy is intended to raise issues of (...) extension and simultaneity and to examine the degree to which these are meaningful concepts from various physical viewpoints. We will show by example in the present work that the plane of the present is a pivotal concept that offers considerable power in differentiating between various views of the nature of time. The concept of time within the main stream of physics thinking has followed a rather convoluted path over the past three millennia. Anticipating the modern motion picture, Zeno of Elea (c.490-c.430 B.C) questioned whether time should appropriately be viewed as a continuously flowing river, or should more properly be considered as a rapid sequence of stop-motion ‘freeze-frames’, in effect rendering geometrical each instant as a separate infinitesimal point on the line of time. Adopting this view, he asked how physical motion could occur. He argued paradoxically that motion is not possible, since it appears to happen only between the frozen frames of time instants.1 From the viewpoint of Zeno, the plane of the present would be simply the last and most recent in this sequence of freeze-frames. It would be that frozen instant, spanning the universe, which changes progressively as the instant we call ‘now’ becomes the frozen past and future possibility freezes into the ‘now’ of present reality. We note that the plane of the present as a concept does not resolve the arrow paradox that Zeno raised. It only provides a way of thinking about it. (shrink)

During the last hundred years the notion of time flow has been held in low esteem by philosophers of science. Since the metaphor depends heavily on the analogy with motion, criticisms of time flow have either attacked the analogy as poorly founded, or else argued by analogy from a “static” conception of motion. Thus (1) Bertrand Russell argued that just as motion can be conceived as existence at successive places at successive times without commitment to a state of (...) motion at an instant, so duration can be conceived as existence at each of the times at which a thing exists without any commitment to a becoming or flow from one instant to another. I call this the “at-at” objection to time flow. A second objection (2) is that the sufficiency of the “B-theoretic” conception of time for physics makes the concept of time flow otiose. On this rendering the existence of a thing through time is just the “tenseless existence” of the thing at each instant of the duration (or at each spacetime point), without any flow from one instant or point to another. A third objection (3) is that in relativity theory, owing to the relativity of simultaneity, there is no unique invariant ‘now’, or hyperplane of simultaneously occurring events. If time flow is conceived in terms of the flow of such a ‘now’, then the non-existence of a worldwide instant of occurrence appears to be refuted. Lastly, (4) a capstone to these criticisms is the objection famously raised by Jack Smart: if rate of flow of any quantity can only be reckoned with respect to time, then with respect to what does time flow? If it does not even make sense to ask how fast time flows, then surely the metaphor should be abandoned as confused. (shrink)

Alfred North Whitehead (1861-1947), a mathematician and logician by training, is the author of highly original works at the crossroads of science and philosophy, exploring the nature of the world around us and its temporal flow. Convinced that everyday terms distort reality, Whitehead invented or borrowed terms more appropriate to his project. The word "Process", which gives its title to his most famous work Process and Reality (1929), is central to his thinking. Process introduces his vision of nature as a (...) succession of crystallizations, each of which proves the finite granularity of time: the instant does not exist. It also implies a confrontation with the theory of relativity and quantum physics. Whitehead's perspective allows for the occurrence of creative novelties, but for which the world necessarily cooperates with a deity, the role of which is examined in this book's last chapter. In Alfred North Whitehead, Philosopher of Time, author Rémy Lestienne mixes biographical elements and intellectual advances, from logicism to philosophies of nature. A compelling introduction to Whitehead's demanding work, this book deciphers a metaphysical landscape often considered too abstract to be approachable, but points out the philosopher's imperfections with respect to the scientific advances of our time. (shrink)

A set of axioms implicitly defining the standard, though not instant-based but interval-based, time topology is used as a basis to build a temporal modal logic of events. The whole apparatus contains neither past, present, and future operators nor indexicals, but only B-series relations and modal operators interpreted in the standard way. Determinism and indeterminism are then introduced into the logic of events via corresponding axioms. It is shown that, if determinism and indeterminism are understood in accordance with their (...) core meaning, the way in which they are formally introduced here represents the only right way to do this, given that we restrict ourselves to one real world and make no use of the many real worlds assumption. But then the result is that the very truth conditions for sentences about indeterministic events imply the existence of tensed truths, in spite of the fact that these conditions are formulated (in the indeterministic axiom) in terms of tenseless language. The tenseless theory of time implies determinism, while indeterminism requires the flow of time assumption. (shrink)

Although Fuzzy logic and Fuzzy Mathematics is a widespread subject and there is a vast literature about it, yet the use of Fuzzy issues like Fuzzy sets and Fuzzy numbers was relatively rare in time concept. This could be seen in the Fuzzy time series. In addition, some attempts are done in fuzzing Turing Machines but seemingly there is no need to fuzzy time. Throughout this article, we try to change this picture and show why it is (...) helpful to consider the instants of time as Fuzzy numbers. In physics, though there are revolutionary ideas on the time concept like B theories in contrast to A theory also about central concepts like space, momentum… it is a long time that these concepts are changed, but time is considered classically in all well-known and established physics theories. Seemingly, we stick to the classical time concept in all fields of science and we have a vast inertia to change it. Our goal in this article is to provide some bases why it is rational and reasonable to change and modify this picture. Here, the central point is the modified version of “Unexpected Hanging” paradox as it is described in "Is classical Mathematics appropriate for theory of Computation".This modified version leads us to a contradiction and based on that it is presented there why some problems in Theory of Computation are not solved yet. To resolve the difficulties arising there, we have two choices. Either “choosing” a new type of Logic like “Para-consistent Logic” to tolerate contradiction or changing and improving the time concept and consequently to modify the “Turing Computational Model”. Throughout this paper, we select the second way for benefiting from saving some aspects of Classical Logic. In chapter 2, by applying quantum Mechanics and Schrodinger equation we compute the associated fuzzy number to time. (shrink)

What it would take to vindicate folk temporal error theory? This question is significant against a backdrop of new views in quantum gravity—so-called timeless physical theories—that claim to eliminate time by eliminating a one-dimensional substructure of ordered temporal instants. Ought we to conclude that if these views are correct, nothing satisfies the folk concept of time and hence that folk temporal error theory is true? In light of evidence we gathered, we argue that physical theories that entirely (...) eliminate an ordered substructure vindicate folk temporal error theory. (shrink)

Some Presentists—according to whom everything is present—identify instants of time with propositions of a certain kind. However, the view that times are propositions seems to be at odds with Presentism: if there are times then there are past times, and therefore things that are past; but how could there be things that are past if everything is present? In this paper, we describe the Presentist view that times are propositions ; we set out the argument that Presentism is (...) incompatible with the view that times are propositions ; and then we describe three possible responses to that argument on behalf of Presentists who identify times with propositions. We argue that each of these responses comes with significant costs. Finally, we describe a fourth possible response—according to which times are irreducibly higher-order entities—which appears to avoid the costs of the other three. We also describe and respond to two objections to the higher-order strategy. (shrink)

Two radically different views about time are possible. According to the first, the universe is three dimensional. It has a past and a future, but that does not mean it is spread out in time as it is spread out in the three dimensions of space. This view requires that there is an unambiguous, absolute, cosmic-wide "now" at each instant. According to the second view about time, the universe is four dimensional. It is spread out in both (...) space and time - in space-time in short. Special and general relativity rule out the first view. There is, according to relativity theory, no such thing as an unambiguous, absolute cosmic-wide "now" at each instant. However, we have every reason to hold that both special and general relativity are false. Not only does the historical record tell us that physics advances from one false theory to another. Furthermore, elsewhere I have shown that we must interpret physics as having established physicalism - in so far as physics can ever establish anything theoretical. Physicalism, here, is to be interpreted as the thesis that the universe is such that some unified "theory of everything" is true. Granted physicalism, it follows immediately that any physical theory that is about a restricted range of phenomena only, cannot be true, whatever its empirical success may be. It follows that both special and general relativity are false. This does not mean of course that the implication of these two theories that there is no unambiguous cosmic-wide "now" at each instant is false. It still may be the case that the first view of time, indicated at the outset, is false. Are there grounds for holding that an unambiguous cosmic-wide "now" does exist, despite special and general relativity, both of which imply that it does not exist? There are such grounds. Elsewhere I have argued that, in order to solve the quantum wave/particle problem and make sense of the quantum domain we need to interpret quantum theory as a fundamentally probabilistic theory, a theory which specifies how quantum entities - electrons, photons, atoms - interact with one another probabilistically. It is conceivable that this is correct, and the ultimate laws of the universe are probabilistic in character. If so, probabilistic transitions could define unambiguous, absolute cosmic-wide "nows" at each instant. It is entirely unsurprising that special and general relativity have nothing to say about the matter. Both theories are pre-quantum mechanical, classical theories, and general relativity in particular is deterministic. The universe may indeed be three dimensional, with a past and a future, but not spread out in four dimensional space-time, despite the fact that relativity theories appear to rule this out. These considerations, finally, have implications for views about the arrow of time and free will. (shrink)

The central task of the book is to compare and contrast the model of time as comprised of discrete instants and the model of time as a continuum. The first half of the book develops axiomatic and algebraic interconnections between "point structures" and "period structures"; the second half explores the connections between propositional tense logics in the tradition of A.N. Prior and the associated point and period models. Both the author's fine style and the publisher's excellent layout (...) and typefaces contribute to making this a particularly pleasant, readable volume. The level of exposition is that of texts for beginning graduate students interested in logic or abstract algebra. (shrink)

The instant -- The problem of habit and discontinuous time -- The idea of progress and the intuition of discontinuous time -- Conclusion -- Appendix A: "Poetic instant and metaphysical instant" by Gaston Bachelard -- Appendix B: Reading Bachelard reading Siloe: an excerpt from "Introduction to Bachelard's poetics" by Jean Lescure -- Appendix C: A short biography of Gaston Bachelard.

Appearing in English for the first time, _Intuition of the Instant_—Bachelard’s first metaphysical meditation on time and its moral implications—was written in 1932 in the wake of Husserl’s lectures on streaming time-consciousness, Heidegger’s _Being and Time,_ and Henri Bergson’s philosophy of the élan vital. A culmination of Bachelard’s earlier studies in scientific epistemology, this work builds the epistemic framework that would lead theorists of all stripes to advance knowledge by breaking with accepted modes of thought. _Intuition (...) of the Instant _sows the seeds of Bachelard’s future poetics, most notably in the essay “Poetic Instant and Metaphysical Instant” —included in this volume, along with an excerpt from Jean Lescure’s lecture “Introduction to Bachelard’s Poetics”. Eileen Rizo-Patron’s translation offers a key to Bachelard’s subsequent works on science, time, and imagination, which remain epistemological touchstones. (shrink)

Our essay examines Levinas's ideas of time and their relation to his ethical discourse. We read 'his' texts deconstructively and show how the notions of time and of the ethical are closely inter connected. We argue that Levinas deconstructs the concept of time, as it is traditionally developed by Western philosophy, and that this concept is part and parcel of and cannot be detached from his philo sophical venture. By following two major shibboleths, jouissance and language, we (...) trace the deconstructive effort of Levinas to dismantle Western philosophy's traditional conceptualization of time. Our dis cussion points not to the failure of Levinas's toil but rather to the aporetic structure of his itinerary and to the ethical significance of this aporia. Key Words: aporia • deconstruction • eternal • instant • recurrence • time. (shrink)

Two symmetry arguments are discussed, each purporting to show that there is no more room for a preferred division of spacetime into instants of time in general relativistic cosmology than in Minkowski spacetime. The first argument is due to Gödel, and concerns the symmetries of his famous rotating cosmologies. The second turns upon the symmetries of a certain space of relativistic possibilities. Both arguments are found wanting.

When do things change? When do things have some characteristics? I try to answer these questions by looking at different solutions Plato and Aristotle presented in their works. The famous analysis of change from the second half of Plato’s Parmenides claims that change happens outside of time, at an “instant”. On the contrary, Aristotle in the Physics explicitly argues that all change occurs only in time. However, both Plato and Aristotle also provide other analyses of change. How to (...) deal with this variety of explanations and tensions between them? In this paper, I argue that if we differentiate between several kinds of change, most of Plato’s and Aristotle’s analyses provide a thorough insight into the nature of change. For processes such as locomotion, change occurs exclusively within time. For changes where both the initial and final states occur only in time, such as a transition from motion to rest, change takes place in the ‘now’. However, for changes where both the initial and final states occur in both time and in the ‘now’ – for example, a qualitative change from being white to not being white – change does not occur in time nor in the ‘now’, but instead happens instantaneously. (shrink)

This article examines kierkegaard 's analysis of time in "the concept of anxiety". In this analysis kierkegaard makes decisive use of plato's interpretation of the instant of time in the "parmenides". Kierkegaard neither accepts nor rejects plato's position unequivocally. Though there are important differences between the views of plato and kierkegaard on the nature of the "moment" in time, it is shown that these differences are based on a more deeply rooted metaphysical position common to both of (...) them. (shrink)

Barbour, Hawking, Misner and others have argued that time cannot play an essential role in the formulation of a quantum theory of cosmology. Here we present three challenges to their arguments, taken from works and remarks by Kauffman, Markopoulou and Newman. These can be seen to be based on two principles: that every observable in a theory of cosmology should be measurable by some observer inside the universe, and all mathematical constructions necessary to the formulation of the theory should (...) be realizable in a finite time by a computer that fits inside the universe. We also briefly discuss how a cosmological theory could be formulated so it is in agreement with these principles. (shrink)

Although Fuzzy logic and Fuzzy Mathematics is a widespread subject and there is a vast literature about it, yet the use of Fuzzy issues like Fuzzy sets and Fuzzy numbers was relatively rare in time concept. This could be seen in the Fuzzy time series. In addition, some attempts are done in fuzzing Turing Machines but seemingly there is no need to fuzzy time. Throughout this article, we try to change this picture and show why it is (...) helpful to consider the instants of time as Fuzzy numbers. In physics, though there are revolutionary ideas on the time concept like B theories in contrast to A theory also about central concepts like space, momentum… it is a long time that these concepts are changed, but time is considered classically in all well-known and established physics theories. Seemingly, we stick to the classical time concept in all fields of science and we have a vast inertia to change it. Our goal in this article is to provide some bases why it is rational and reasonable to change and modify this picture. Here, the central point is the modified version of “Unexpected Hanging” paradox as it is described in "Is classical Mathematics appropriate for theory of Computation".This modified version leads us to a contradiction and based on that it is presented there why some problems in Theory of Computation are not solved yet. To resolve the difficulties arising there, we have two choices. Either “choosing” a new type of Logic like “Para-consistent Logic” to tolerate contradiction or changing and improving the time concept and consequently to modify the “Turing Computational Model”. Throughout this paper, we select the second way for benefiting from saving some aspects of Classical Logic. In chapter 2, by applying quantum Mechanics and Schrodinger equation we compute the associated fuzzy number to time. These, provides a new interpretation of Quantum Mechanics.More exactly what we see here is "Particle-Fuzzy time" interpretation of quantum Mechanics, in contrast to some other interpretations of Quantum Mechanics like " Wave-Particle" interpretation. At the end, we propound a question about the possible solution of a paradox in Physics, the contradiction between General Relativity and Quantum Mechanics. (shrink)

We have always been conscious of the wait for life-changing messages, whether it be the time it takes to receive a text message from your love, for a soldier's family to learn news from the front, or for a space probe to deliver data from the far reaches of the solar system. In this book in praise of wait times, award-winning author Jason Farman passionately argues that the delay between call and answer has always been an important part of (...) the message. Traveling backward from our current era of Twitter and texts, Farman shows how societies have worked to eliminate waiting in communication and how they have interpreted those times' meanings. Exploring seven eras and objects of waiting--including pneumatic mail tubes in New York, Elizabethan wax seals, and Aboriginal Australian message sticks--Farman offers a new mindset for waiting. In a rebuttal to the demand for instant communication, Farman makes a powerful case for why good things can come to those who wait. (shrink)

The starting point of Merleau-Ponty’s reflection on time is the notion of functioning intentionality observed in its specific application as a perceptive activity. Through an original treatment of the notion of the perceptual field, the French philosopher describes the activity that, within this field, a particular protagonist carries out, namely one’s own body: a particular kind of extension thanks to which it is possible to overcome all those dualistic prejudices that abstractly contrast the subject, or consciousness, with the world (...) and its objects. Instead, in the perceptual field described in the pages of Phenomenology of Perception, the body and the world are “born” in unison. They are reciprocally constituted, to such a point that we can no longer speak of a pure subject or of a disembodied consciousness, separated from objects, but must speak of a corporeal knowledge that is always in relationship with a world that, for its part, finds its objective dimension only by abstracting from that original conferring of meaning attributed to it by bodily action. Now, it is on the basis of this that the analysis of temporality is carried out. The present is a nexus of time that one’s own body lives and exists in the perceptual field. More than a representation, time, with its dimensions, is a concrete thickness that is stratified a-thematically in the activity of the body that always inheres in the world. It thus involves not a linear becoming, a summation of instants, but a flow, a continual transition that, from the present, allows access to the past and future which in turn emerge as stratified in the lived time of the present. (shrink)

Killing Times begins with the deceptively simple observation—made by Jacques Derrida in his seminars on the topic—that the death penalty mechanically interrupts mortal time by preempting the typical mortal experience of not knowing at what precise moment we will die. Through a broader examination of what constitutes mortal temporality, David Wills proposes that the so-called machinery of death summoned by the death penalty works by exploiting, or perverting, the machinery of time that is already attached to human existence. (...) Time, Wills argues, functions for us in general as a prosthetic technology, but the application of the death penalty represents a new level of prosthetic intervention into what constitutes the human. Killing Times traces the logic of the death penalty across a range of sites. Starting with the legal cases whereby American courts have struggled to articulate what methods of execution constitute “cruel and unusual punishment,” Wills goes on to show the ways that technologies of death have themselves evolved in conjunction with ideas of cruelty and instantaneity, from the development of the guillotine and the trap door for hanging, through the firing squad and the electric chair, through today’s controversies surrounding lethal injection. Responding to the legal system’s repeated recourse to storytelling—prosecutors’ and politicians’ endless recounting of the horrors of crimes—Wills gives a careful eye to the narrative, even fictive spaces that surround crime and punishment. Many of the controversies surrounding capital punishment, Wills argues, revolve around the complex temporality of the death penalty: how its instant works in conjunction with forms of suspension, or extension of time; how its seeming correlation between egregious crime and painless execution is complicated by a number of different discourses. By pinpointing the temporal technology that marks the death penalty, Wills is able to show capital punishment’s expansive reach, tracing the ways it has come to govern not only executions within the judicial system, but also the opposed but linked categories of the suicide bombing and drone warfare. In discussing the temporal technology of death, Wills elaborates the workings both of the terrorist who produces a simultaneity of crime and “punishment” that bypasses judicial process, and of the security state, in whose remote-control killings the time-space coordinates of “justice” are compressed and at the same time disappear into the black hole of secrecy. Grounded in a deep ethical and political commitment to death penalty abolition, Wills’s engaging and powerfully argued book pushes the question of capital punishment beyond the confines of legal argument to show how the technology of capital punishment defines and appropriates the instant of death and reconfigures the whole of human mortality. (shrink)

There are two ways of thinking about instants of time: "spatial" accounts emphasize the similarities between instants and places; "modal" accounts focus on the parallels between times and possible worlds. My aim in this paper is to draw attention to one respect in which times are more similar to possible worlds than they are to places.

The Energy-Time Uncertainty (ETU) has always been a problem-ridden relation, its problems stemming uniquely from the perplexing question of how to understand this mysterious Δ t . On the face of it (and, indeed, far deeper than that), we always know what time it is. Few theorists were ignorant of the fact that time in quantum mechanics is exogenously defined, in no ways intrinsically related to the system. Time in quantum theory is an independent parameter, which (...) simply means independently known . In the early 1960s Aharonov (1961-64) and Bohm (1961-64) mounted a spirited attack against the ETU, which sealed its fate to the present date. By emphasising that time is always “well-defined” in quantum theory, they were led to the conclusion that no ETU should exist, a view shared by many in the 1990s, if Busch (1990) is to be believed. In a similar vein, I emphasize that (a) physical systems occupy a particular energy state at a particular instant of time, if at all; (b) even in absence of all time-measuring instruments, it is still trivially warranted that one can measure a system's energy as accurately as one pleases, and simply announce “The system's energy is exactly E NOW!”, a possibility which no quantum mechanics of any sort, or any physical theory whatsoever, can afford to tamper with or change, except circularly. One never loses one's own perception of time, when one measures the energy, a fact which no measurement conceivable can interfere with or affect. Both (a) and (b) uniquely entail that energy and time are compatible, if not indeed intimately interconnected, contrary to what the relevant uncertainty seems to affirm. In response to Aharonov's and Bohm's initial problem, I reinterpret ΔEΔt ≥ h , as directly derived from authentic quantum principles, without however having to assume a direct incompatibility between its related concepts, attributing their complementarity to conditions other than ordinarily assumed. (shrink)