The Experience and Perception of Time
We see colours, hear sounds and feel textures. Some aspects of the world, it seems, are perceived through a particular sense. Others, like shape, are perceived through more than one sense. But what sense or senses do we use when perceiving time? It is certainly not associated with one particular sense. In fact, it seems odd to say that we see, hear or touch time passing. And indeed, even if all our senses were prevented from functioning for a while, we could still notice the passing of time through the changing pattern of our thought. Perhaps, then, we have a special faculty, distinct from the five senses, for detecting time. Or perhaps, as seems more likely, we notice time through perception of other things. But how?
Time perception raises a number of intriguing puzzles, including what it means to say we perceive time. In this article, we shall explore the various processes through which we are made aware of time, and which influence the way we think time really is. Inevitably, we shall be concerned with the psychology of time perception, but the purpose of the article is to draw out the philosophical issues, and in particular whether and how aspects of our experience can be accommodated within certain metaphysical theories concerning the nature of time and causation.
- 1. What is ‘the perception of time’?
- 2. Kinds of temporal experience
- 3. Duration
- 4. The specious present
- 5. Past, present and the passage of time
- 6. Time order
- 7. The metaphysics of time perception
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1. What is ‘the perception of time’?
The very expression ‘the perception of time’ invites objection. Insofar as time is something different from events, we do not perceive time as such, but changes or events in time. But, arguably, we do not perceive events only, but also their temporal relations. So, just as it is natural to say that we perceive spatial distances and other relations between objects (I see the dragonfly as hovering above the surface of the water), it seems natural to talk of perceiving one event following another (the thunderclap as following the flash of lightning), though even here there is a difficulty. For what we perceive, we perceive as present—as going on right now. Can we perceive a relation between two events without also perceiving the events themselves? If not, then it seems we perceive both events as present, in which case we must perceive them as simultaneous, and so not as successive after all. There is then a paradox in the notion of perceiving an event as occurring after another, though one that perhaps admits of a straightforward solution. When we perceive B as coming after A, we have, surely, ceased to perceive A. In which case, A is merely an item in our memory. Now if we wanted to construe ‘perceive’ narrowly, excluding any element of memory, then we would have to say that we do not, after all, perceive B as following A. But in this article, we shall construe ‘perceive’ more broadly, to include a wide range of experiences of time that essentially involve the senses. In this wide sense, we perceive a variety of temporal aspects of the world. We shall begin by enumerating these, and then consider accounts of how such perception is possible.
2. Kinds of temporal experience
There are a number of what Ernst Pöppel (1978) calls ‘elementary time experiences’, or fundamental aspects of our experience of time. Among these we may list the experience of (i) duration; (ii) non-simultaneity; (iii) order; (iv) past and present; (v) change, including the passage of time. It might be thought that experience of non-simultaneity is the same as experience of time order, but it appears that, when two events occur very close together in time, we can be aware that they occur at different times without being able to say which one came first (see Hirsh and Sherrick 1961). We might also think that perception of order was itself explicable in terms of our experience of the distinction between past and present. There will certainly be links here, but it is a contentious question whether the experience of tense—that is, experiencing an event as past or present—is more fundamental than the experience of order, or vice versa, or whether indeed there is such a thing as the experience of tense at all. This issue is taken up below. Finally, we should expect to see links between the perception of time order and the perception of motion if the latter simply involves perception of the order of the different spatial positions of an object. This is another contentious issue that is taken up below.
One of the earliest, and most famous, discussions of the nature and experience of time occurs in the autobiographical Confessions of St Augustine. Augustine was born in Numidia (now Algeria) in 354 AD, held chairs in rhetoric at Carthage and Milan, and become Bishop of Hippo in 395. He died in 430. As a young adult, he had rejected Christianity, but was finally converted at the age of 32. Book XI of the Confessions contains a long and fascinating exploration of time, and its relation to God. During the course of it Augustine raises the following conundrum: when we say that an event or interval of time is short or long, what is it that is being described as of short or long duration? It cannot be what is past, since that has ceased to be, and what is non-existent cannot presently have any properties, such as being long. But neither can it be what is present, for the present has no duration. (For the reason why the present must be regarded as durationless, see the section on the specious present, below.) In any case, while an event is still going on, its duration cannot be assessed.
Augustine’s answer to this riddle is that what we are measuring, when we measure the duration of an event or interval of time, is in the memory. From this he derives the radical conclusion that past and future exist only in the mind. While not following Augustine all the way to the mind-dependence of other times, we can concede that the perception of temporal duration is crucially bound up with memory. It is some feature of our memory of the event (and perhaps specifically our memory of the beginning and end of the event) that allows us to form a belief about its duration. This process need not be described, as Augustine describes it, as a matter of measuring something wholly in the mind. Arguably, at least, we are measuring the event or interval itself, a mind-independent item, but doing so by means of some psychological process.
Whatever the process in question is, it seems likely that it is intimately connected with what William Friedman (1990) calls ‘time memory’: that is, memory of when some particular event occurred. That there is a close connection here is entailed by the plausible suggestion that we infer (albeit subconsciously) the duration of an event, once it has ceased, from information about how long ago the beginning of that event occurred. That is, information that is metrical in nature (e.g. ‘the burst of sound was very brief’) is derived from tensed information, concerning how far in the past something occurred. The question is how we acquire this tensed information. It may be direct or indirect, a contrast we can illustrate by two models of time memory described by Friedman. He calls the first the strength model of time memory. If there is such a thing as a memory trace that persists over time, then we could judge the age of a memory (and therefore how long ago the event remembered occurred) from the strength of the trace. The longer ago the event, the weaker the trace. This provides a simple and direct means of assessing the duration of an event. Unfortunately, the trace model comes into conflict with a very familiar feature of our experience: that some memories of recent events may fade more quickly than memories of more distant events, especially when those distant events were very salient ones (visiting a rarely seen and frightening relative when one was a child, for instance.) A contrasting account of time memory is the inference model. According to this, the time of an event is not simply read off from some aspect of the memory of it, but is inferred from information about relations between the event in question and other events whose date or time is known.
The inference model may be plausible enough when we are dealing with distant events, but rather less so for much more recent ones. In addition, the model posits a rather complex cognitive operation that is unlikely to occur in non-human animals, such as the rat. Rats, however, are rather good at measuring time over short intervals of up to a minute, as demonstrated by instrumental conditioning experiments involving the ‘free operant procedure’. In this, a given response (such as depressing a lever) will delay the occurrence of an electric shock by a fixed period of time, such as 40 seconds, described as the R-S (response-shock) interval. Eventually, rate of responding tracks the R-S interval, so that the probability of responding increases rapidly as the end of the interval approaches. (See Mackintosh 1983 for a discussion of this and related experiments.) It is hard to avoid the inference here that the mere passage of time itself is acting as a conditioned stimulus: that the rats, to put it in more anthropocentric terms, are successfully estimating intervals of time. In this case, the strength model seems more appropriate than the inference model.
4. The specious present
The term ‘specious present’ was first introduced by the psychologist E.R. Clay, but the best known characterisation of it was due to William James, widely regarded as one of the founders of modern psychology. He lived from 1842 to 1910, and was professor both of psychology and of philosophy at Harvard. His definition of the specious present goes as follows: ‘the prototype of all conceived times is the specious present, the short duration of which we are immediately and incessantly sensible’ (James 1890). How long is this specious present? Elsewhere in the same work, James asserts ‘We are constantly aware of a certain duration—the specious present—varying from a few seconds to probably not more than a minute, and this duration (with its content perceived as having one part earlier and another part later) is the original intuition of time.’ This surprising variation in the length of the specious present makes one suspect that more than one definition is hidden in James’ rather vague characterisation.
There are two sources of ambiguity here. One is over whether ‘the specious present’ refers to the object of the experience, namely a duration in time, or the way in which that object is presented to us. The second is over how we should interpret ‘immediately sensible’. James’ words suggest that the specious present is the duration itself, picked out as the object of a certain kind of experience. But ‘ immediately sensible’admits of a number of disambiguations. So we could define the specious present as:
- the span of short-term memory;
- the duration which is perceived, not as duration, but as instantaneous;
- the duration which is directly perceived — i.e. not through the intermediary of a number of other, perhaps instantaneous, perceptions;
- the duration which is perceived both as present and as extended in time.
If James means the first of these, that would certainly explain his suggestion that it could last up to a minute. But this does not seem to have much to do specifically with the experience of presentness, since we can certainly hold something in the short-term memory and yet recognise it as past. James may be thinking of cases where we are listening to a sentence: if we did not somehow hold all the words in our conscious mind, we would not understand the sentence as a whole. But it is clear that the words are not experienced as simultaneous, for then the result would be an unintelligible jumble of sounds. (2) is illustrated by the familiar fact that some movements are so fast that we see them as a blur, such as when we look at a fan. What is in fact taking place at different times is presented as happening in an instant. But this is not standardly what is meant by the specious present. (3) is a construal that is found in the literature (see, e.g., Kelly 2005), but it is not obvious that that is what James had in mind, since James is concerned with the phenomenology of time perception, and whether or not an experience constitutes a direct or indirect perception of an interval does not seem to be a phenomenological matter. (Besides which, as Kelly points out, we might think it odd to suppose that past parts of the interval could be directly perceived.)
That leaves us with (4): a duration which is perceived both as present and as temporally extended. This present of experience is ‘specious’ in that, unlike the objective present (if there is such a thing — see The metaphysics of time perception below) it is an interval and not a durationless instant. The real or objective present must be durationless for, as Augustine argued, in an interval of any duration, there are earlier and later parts. So if any part of that interval is present, there will be another part that is past or future.
But is it possible to perceive something as extended and as present? If we hear a short phrase of music, we seem to hear the phrase as present, and yet — because it is a phrase rather than a single chord — we also hear the notes as successive, and therefore as extending over an interval. If this does not seem entirely convincing, consider the perception of motion. As Broad (1923) puts it, ‘to see a second-hand moving is quite a different thing from "seeing" that a hour-hand has moved.’ It is not that we see the current position of the second hand and remember where it was a second ago: we just see the motion. That leads to the following argument:
|(1) What we perceive, we perceive as present.|
|(2) We perceive motion.|
|(3) Motion occurs over an interval.|
|Therefore: What we perceive as present occurs over an interval.|
Still, there is more than an air of paradox about this. If successive parts of the motion (or musical phrase, or whatever change we perceive) are perceived as present, then surely they are perceived as simultaneous. But if they are perceived as simultaneous, then the motion will simply be a blur, as it is in cases where it is too fast to perceive as motion. The fact that we do not see it as motion suggests that we do not see the successive parts of it as simultaneous, and so do not see them as present. But then how do we explain the distinction to which Broad directs our attention?
One way out of this impasse is to suggest that two quite distinct processes are going on in the perception of motion (and other kinds of change). One is the perception of successive states as successive, for example the different positions of the second hand. The other is the perception of pure movement. This second perception, which may involve a more primitive system than the first, does not contain as part the recognition of earlier and later elements. (Le Poidevin 2007, Chapter 5.) Alternatively, we might attempt to explain the phenomena of temporal experience without appeal to the notion of the specious present at all (see Arstila, 2018).
5. Past, present and the passage of time
The previous section indicated the importance of distinguishing between perceiving the present and perceiving something as present. We may perceive as present items that are past. Indeed, given the finite speed of the transmission of both light and sound (and the finite speed of transmission of information from receptors to brain), it seems that we only ever perceive what is past. However, this does not by itself tell us what it is to perceive something as present, rather than as past. Nor does it explain the most striking feature of our experience as-of the present: that it is constantly changing. The passage (or apparent passage) of time is its most striking feature, and any account of our perception of time must account for this aspect of our experience.
Here is one attempt to do so. The first problem is to explain why our temporal experience is limited in a way in which our spatial experience is not. We can perceive objects that stand in a variety of spatial relations to us: near, far, to the left or right, up or down, etc. Our experience is not limited to the immediate vicinity (although of course our experience is spatially limited to the extent that sufficiently distant objects are invisible to us). But, although we perceive the past, we do not perceive it as past, but as present. Moreover, our experience does not only appear to be temporally limited, it is so: we do not perceive the future, and we do not continue to perceive transient events long after information from them reached our senses. Now, there is a very simple answer to the question why we do not perceive the future, and it is a causal one. Briefly, causes always precede their effects; perception is a causal process, in that to perceive something is to be causally affected by it; therefore we can only perceive earlier events, never later ones. So one temporal boundary of our experience is explained; what of the other?
There seems no logical reason why we should not directly experience the distant past. We could appeal to the principle that there can be no action at a temporal distance, so that something distantly past can only causally affect us via more proximate events. But this is inadequate justification. We can only perceive a spatially distant tree by virtue of its effects on items in our vicinity (light reflected off the tree impinging on our retinas), but this is not seen by those who espouse a direct realist theory of perception as incompatible with their position. We still see the tree, they say, not some more immediate object. Perhaps then we should look for a different strategy, such as the following one, which appeals to biological considerations. To be effective agents in the world, we must represent accurately what is currently going on: to be constantly out of date in our beliefs while going about our activities would be to face pretty immediate extinction. Now we are fortunate in that, although we only perceive the past it is, in most cases, the very recent past, since the transmission of light and sound, though finite, is extremely rapid. Moreover, although things change, they do so, again in most cases, at a rate that is vastly slower than the rate at which information from external objects travels to us. So when we form beliefs about what is going on in the world, they are largely accurate ones. (See Butterfield 1984 for a more detailed account along these lines.) But, incoming information having been registered, it needs to move into the memory to make way for more up to date information. For, although things may change slowly relative to the speed of light or of sound, they do change, and we cannot afford to be simultaneously processing conflicting information. So our effectiveness as agents depends on our not continuing to experience a transient state of affairs (rather in the manner of a slow motion film) once information from it has been absorbed. Evolution has ensured that we do not experience anything other than the very recent past (except when we are looking at the heavens).
To perceive something as present is simply to perceive it: we do not need to postulate some extra item in our experience that is ‘the experience of presentness.’ It follows that there can be no ‘perception of pastness’. In addition, if pastness were something we could perceive, then we would perceive everything in this way, since every event is past by the time we perceive it. But even if we never perceive anything as past (at the same time as perceiving the event in question) we could intelligibly talk more widely of the experience of pastness: the experience we get when something comes to an end. And it has been suggested that memories—more specifically, episodic memories, those of our experiences of past events—are accompanied by a feeling of pastness (see Russell 1921). The problem that this suggestion is supposed to solve is that an episodic memory is simply a memory of an event: it represents the event simpliciter, rather than the fact that the event is past. So we need to postulate something else which alerts us to the fact that the event remembered is past. An alternative account, and one which does not appeal to any phenomenological aspects of memory, is that memories dispose us to form past-tensed beliefs, and is by virtue of this that they represent an event as past.
We have, then, a candidate explanation for our experience of being located at a particular moment in time, the (specious) present. And as the content of that experience is constantly changing, so that position in time shifts. But there is still a further puzzle. Change in our experience is not the same thing as experience of change. We want to know, not just what it is to perceive one event after another, but also what it is to perceive an event as occurring after another. Only then will we understand our experience of the passage of time. We turn, then, to the perception of time order.
6. Time order
How do we perceive precedence amongst events? A temptingly simple answer is that the perception of precedence is just a sensation caused by instances of precedence, just as a sensation of red is caused by instances of redness. Hugh Mellor (1998), who considers this line, rejects it for the following reason. If this were the correct explanation, then we could not distinguish between x being earlier than y, and x being later than y, for whenever there is an instance of one relation, there is also an instance of the other. But plainly we are able to distinguish the two cases, so it cannot simply be a matter of perceiving a relation, but something to do with our perception of the relata. But mere perception of the relata cannot be all there is to perceiving precedence. Consider again Broad’s point about the second hand and the hour hand. We first perceive the hour hand in one position, say pointing to 3 o’clock, and later we perceive it in a different position, pointing to half-past 3. So I have two perceptions, one later than the other. I may also be aware of the temporal relationship of the two positions of the hand. Nevertheless, I do not perceive that relationship, in that I do not see the hand moving. In contrast, I do see the second hand move from one position to another: I see the successive positions as successive.
Mellor’s proposal is that I perceive x precede y by virtue of the fact that my perception of x causally affects my perception of y. As I see the second hand in one position, I have in my short-term memory an image (or information in some form) of its immediately previous position, and this image affects my current perception. The result is a perception of movement. The perceived order of different positions need not necessarily be the same as the actual temporal order of those positions, but it will be the same as the causal order of the perceptions of them. Since causes always precede their effects, the temporal order perceived entails a corresponding temporal order in the perceptions. Dainton (2001) has objected to this that, if the account were right, we should not be able to remember perceiving precedence, since we only remember what we can genuinely perceive. But there seems no reason to deny that, just because perception of precedence may involve short-term memory, it does not thereby count as genuine perception.
There is a further disanalogy between perception of colour and perception of time order. What is perceived in the case of colour is something that has a definite spatio-temporal location. The relation of precedence, in contrast, is not something that has any obvious location. But causes do have locations, so the perception of precedence is rather harder to reconcile with the causal theory of perception than the perception of colour (Le Poidevin 2004, 2007).
In effect, Mellor’s idea is that the brain represents time by means of time: that temporally ordered events are represented by similarly temporally ordered experiences. This would make the representation of time unique. (For example, the brain does not represent spatially separated objects by means of spatially separated perceptions, or orange things by orange perceptions.) But why should time be unique in this respect? In other media, time can be represented spatially (as in cartoons, graphs, and analogue clocks) or numerically (as in calendars and digital clocks). So perhaps the brain can represent time by other means. One reason to suppose that it must have other means at its disposal is that time needs to be represented in memory (I recall, both that a was earlier than b, and also the experience of seeing a occur before b) and intention (I intend to F after I G), but there is no obvious way in which Mellor’s ‘representation of time by time’ account can be extended to these.
On Mellor’s model, the mechanism by which time-order is perceived is sensitive to the time at which perceptions occur, but indifferent to their content (what the perceptions are of). Daniel Dennett (1991) proposes a different model, on which the process is time-independent, but content-sensitive. For example, the brain may infer the temporal order of events by seeing which sequence makes sense of the causal order of those events. One of the advantages of Dennett’s model is that it can account for the rather puzzling cases of ‘backwards time referral’, where perceived order does not follow the order of perceptions. (See Dennett 1991 for a discussion of these cases, and also Roache 1999 for an attempt to reconcile them with Mellor’s account.)
7. The metaphysics of time perception
In giving an account of the various aspects of time perception, we inevitably make use of concepts that we take to have an objective counterpart in the world: the past, temporal order, causation, change, the passage of time and so on. But one of the most important lessons of philosophy, for many writers, is that there may be a gap, perhaps even a gulf, between our representation of the world and the world itself, even on a quite abstract level. (It would be fair to add that, for other writers, this is precisely not the lesson philosophy teaches.) Philosophy of time is no exception to this. Indeed, it is interesting to note how many philosophers have taken the view that, despite appearances, time, or some aspect of time, is unreal. In this final section, we will take a look at how three metaphysical debates concerning the nature of the world interact with accounts of time perception.
The first debate concerns the reality of tense, that is, our division of time into past, present and future. Is time really divided in this way? Does what is present slip further and further into the past? Or does this picture merely reflect our perspective on a reality in which there is no uniquely privileged moment, the present, but simply an ordered series of moments? A-theorists say that our ordinary picture of the world as tensed reflects the world as it really is: the passage of time is an objective fact. B-theorists deny this. (The terms A-theory and B-theory derive from McTaggart’s (1908) distinction between two ways in which events can be ordered in time, either as an A-series—that is in terms of whether they are past, present or future — or as a B-series—that is according to whether they are earlier than, later than, or simultaneous with other events.)
For B-theorists, the only objective temporal facts concern relations of precedence and simultaneity between events. (I ignore here the complications introduced by the Special Theory of Relativity, since B-theory—and perhaps A-theory also—can be reformulated in terms which are compatible with the Special Theory.) B-theorists do not deny that our tensed beliefs, such as the belief that a cold front is now passing, or that Sally’s wedding was two years ago, may be true, but they assert that what makes such beliefs true are not facts about the pastness, presentness or futurity of events, but tenseless facts concerning precedence and simultaneity (see Mellor 1998, Oaklander and Smith 1994). On one version of the B-theory, for example, my belief that there is a cold front now passing is true because the passing of the front is simultaneous with my forming the belief. Now one very serious challenge to the tenseless theorist is to explain why, if time does not pass in reality, it appears to do so. What, in B-theoretic terms, is the basis for our experience as-of the passage of time?
The accounts we considered above, first of the temporal restrictions on our experience, and secondly of our experience of time order, did not explicitly appeal to tensed, or A-theoretic notions. The facts we did appeal to look like purely B-theoretic ones: that causes are always earlier than their effects, that things typically change slowly in relation to the speed of transmission of light and sound, that our information-processing capacities are limited, and that there can be causal connections between memories and experiences. So it may be that the tenseless theorist can discharge the obligation to explain why time seems to pass. But two doubts remain. First, perhaps the A- theorist can produce a simpler explanation of our experience. Second, it may turn out that supposedly B-series facts are dependent upon A-series ones, so that, for example, a and b are simultaneous by virtue of the fact that both are present.
What is clear, though, is that there is no direct argument from experience to the A-theory, since the present of experience, being temporally extended and concerning the past, is very different from the objective present postulated by the A-theory. Further, it cannot be taken for granted that the objective passage of time would explain whatever it is that the experience as-of time’s passage is supposed to amount to. (See Prosser 2005, 2007, 2012, 2016, 2018.)
The second metaphysical issue that has a crucial bearing on time perception is connected with the A/B-theory dispute, and that is the debate between presentists and eternalists. Presentists hold that only the present exists (for an articulation of various kinds of presentism, and the challenges they face, see Bourne 2006), whereas eternalists grant equal reality to all times. the two debates, A- versus B-theory and presentism versus eternalism, do not map precisely onto each other. Arguably, B-theory is committed to eternalism, but A-theorists may not necessarily endorse presentism (though Bourne argues that they should).
How might his be connected to perception? According to the indirect (or, as it is sometimes called, representative) theory of perception, we perceive external objects only by perceiving some intermediate object, a sense datum. According to the direct theory, in contrast, perception of external objects involves no such intermediary. Now, external objects are at varying distances from us, and, as noted above, since light and sound travel at finite speeds, that means that the state of objects that we perceive will necessarily lie in the past. In the case of stars, where the distances are very considerable, the time gap between light leaving the star and our perceiving it may be one of many years. The presentist holds that past states, events and objects are no longer real. But if all that we perceive in the external world is past, then it seems that the objects of our perception (or at least the states of those objects that we perceive) are unreal. It is hard to reconcile this with the direct theory of perception. It looks on the face of it, therefore, that presentists are committed to the indirect theory of perception. (See Power 2010a, 2010b, 2018, Le Poidevin 2015b.)
The third and final metaphysical issue that we will discuss in the context of time perception concerns causal asymmetry. The account of our sense of being located at a time which we considered under Past, present and the passage of time rested on the assumption that causation is asymmetric. Later events, it was suggested, cannot affect earlier ones, as a matter of mind-independent fact, and this is why we do not perceive the future, only the past. But attempts to explain the basis of causal asymmetry, in terms for example of counterfactual dependence, or in probabilistic terms, are notoriously problematic. One moral we might draw from the difficulties of reducing causal asymmetry to other asymmetries is that causal asymmetry is primitive, and so irreducible. Another is that that the search for a mind-independent account is mistaken. Perhaps causation in intrinsically symmetric, but some feature of our psychological constitution and relation to the world makes causation appear asymmetric. This causal perspectivalism is the line taken by Huw Price (1996). That causal asymmetry should be explained in part by our psychological constitution, in a way analogous to our understanding of secondary qualities such as colour, is a radical reversal of our ordinary assumptions, but then our ordinary understanding of a number of apparently objective features of the world—tense, absolute simultaneity—have met with similarly radical challenges. Now, if causal asymmetry is mind-dependent in this way, then we cannot appeal to it in accounting for our experience of temporal asymmetry—the difference between past and future.
Further, it is not at all clear that perspectivalism can account for the perception of time order. The mechanism suggested by Mellor (see Time Order) exploited the asymmetry of causation: it is the fact that the perception of A causally influences the perception of B, but not vice versa, that gives rise to the perception of A’s being followed by B. We can represent this schematically as follows (where the arrow stands for an asymmetric causal relation):
But if there is no objective asymmetry, then what is the explanation? Of course, we can still define causal order in terms of a causal betweenness relation, and we can say that the perceived order follows the objective causal order of the perceptions, in this sense: on the one hand, where A is perceived as being followed by B, then the perception of B is always causally between the perception of A and the perception of A’s being followed by B (the dash represents a symmetric causal relation):
P(A) – P(B) – P(A<B)
On the other hand, where B is perceived as being followed by A, the perception of A is always causally between the perception of B and the perception of B’s being followed by A:
P(B) – P(A)) – P(B<A)
But what, on the causal perspectivalist view, would rule out the following case?
P(B<A) – P(A) – P(B) – P(A<B)
For such a case would satisfy the above constraints. But it is a case in which A is perceived by an observer both as following, and as being followed by, B, and we know that such a case never occurs in experience. ‘Is perceived by x as followed by’ is an asymmetric relation (assuming we are dealing with a single sense modality), and so one that can be grounded in the causal relation only if the causal relation is itself asymmetric. Now if perspectivalism cannot meet the challenge to explain why, when B is perceived as following A, A is never perceived by the same observer as following B, it seems that our experience of time order, insofar as it has a causal explanation, requires causation to be objectively asymmetric.
One strategy the causal perspectivalist could adopt (indeed, the only one available) is to explain the asymmetric principle above in terms of some objective non-causal asymmetry. Price, for example, allows an objective thermodynamic asymmetry, in that an ordered series of states of the universe will exhibit what he calls a thermodynamic gradient: entropy will be lower at one end of the series than at the end. We should resist the temptation to say that entropy increases, for that would be like asserting that a road goes uphill rather than downhill without conceding the perspectival nature of descriptions like ‘uphill’. Could such a thermodynamic asymmetry explain the perception of time order? That is a question for the reader to ponder.
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