Time and Time Perception
Berit Brogaard, Dimitria Gatzia
(Forthcoming in Topoi)
Abstract
There is little doubt that we perceive the world as tensed—that is, as consisting of a past,
present and future each with a different ontological status—and transient—that is, as involving
a passage of time. We also have the ability to execute precisely timed behaviors that appear to
depend upon making correct temporal judgments about which changes are truly present and
which are not. A common claim made by scientists and philosophers is that our experiences of
entities enduring through transient changes are illusory and that our apparently accurately timed
behaviors do not reflect dynamical time. We argue that our experiences of objects enduring
through transient changes need not be thought of as illusory even if time is not dynamic at the
fundamental level of reality. For, the dynamic properties we experience objects as having need
not be fundamental properties. They could be weakly emergent from static, temporal properties.
Temporal properties, on this view, are similar to ordinary properties like that of being solid,
which are correctly experienced as properties of medium-sized material bodies even though
they are not instantiated at the fundamental level of reality.
Keywords: A-theory of time; brain’s internal clock; endurantism; four-dimensional spacetime;
perdurantism; temporal illusion; temporal passage; time perception; emergence; responsedependence
1. The A-Theory Versus the B-theory of Time
Two distinct theories of time (proposed by McTaggart, 1908) appear to fit current theories of
physics (Monton, 2010), although it is generally accepted that only one of them is directly
supported by empirical data from physics. On the A-theory, time differs from the dimensions of
space in the sense that although there are only two-place spatial relations such as being south
of, and hence no unary spatial properties such as being south, there are genuine A-theoretical
properties such as being present, being one day out in the future, etc. (McTaggart, 1908). On
this theory, time passes and there are genuine changes involving material bodies. On the Btheory, time does not differ from the dimensions of space since the only temporal relations that
are instantiated are space-like B-relations such as being earlier than. On this theory, no genuine
A-theoretical properties exist and the passage of time is only apparent (McTaggart, 1908) in the
sense that it is the result of the way humans happen to perceive the world.
One of the main challenges for B-theorists is to explain why time is experienced as passing, if it
is not. The standard claim is that our experiences of the passage of time are illusory. However,
as we shall argue, making this claim on the grounds that physics has no need for A-theoretical
properties (e.g., temporally passing, enduring through genuine change) does not show that our
experiences of these properties are illusory. After all, the B-theory does not rule out the
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possibility that there are dynamic, temporal properties, as the properties of physical theories are
not the only properties that are instantiated. We argue that it is plausible that A-theoretical
properties of the kind we experience objects as having are emergent properties akin to
properties such as being solid. On this view, A-theoretical properties exist but not as
fundamental or irreducible properties.
2. The B-Theoretical Fallacy
Philosophers have offered various explanations of the apparent passage of time (see e.g.,
Oaklander, 1993; Mellor, 1998; Skow, 2011; Prosser, 2012). What these explanations have in
common is that they either implicitly or explicitly treat the ordering of experiences as forming a
tenseless B-series but the phenomenology of the experiences as generating the appearance of
passage and endurance through genuine change. To each time slice of a perceiver, it feels to
him or her as if time is passing and that his or her present moment is present in an A-theoretical
sense. The temporal properties presented in experience are thus fundamentally different from
the temporal properties instantiated in the external world.
One influential explanation is that of Mellor (1998), who proposes that our experiences of time
as passing are generated as an effect of memory. Each time slice of a perceiver remembers the
past but not the future, which generates an experienced asymmetry. On this view, our
experiences of the passage of time are illusions generated by our experiencing some events as
occurring simultaneously with us and others as having occurred only previously. As Prosser
(2012) points out, however, this explanation seems implausible for two reasons. The first is that
time perception does not seem to require reflection on the contents of our memories. The
second is that while the accumulation of memories may explain our sense that time has a
direction and that there is an asymmetry between the past and the future, it does not by itself
explain why time perceptually seems to pass.
Upon rejecting Mellor’s explanation, Prosser (2012) proposes another explanation of how we
experience the passage of time, according to which, our sense of a passage of time originates
in our experiences of persistence. On this view, our experiences represent objects as enduring
through genuine dynamic changes, which gives rise to the illusion that time passes. This
explanation, however, faces several difficulties. Firstly, it explains why we seem to experience
time as passing only by raising another mystery, viz., why do we experience objects as enduring
(that is, as being wholly present at each moment at which they exists), if they are in fact
perduring (that is, they are spatiotemporal parts located at different spacetimes). It is hardly a
satisfactory conclusion that virtually all of the experiences we take to be veridical are
necessarily falsidical. Secondly, it does not explain why some illusions of passage seem to be
less accurate than others, which as we shall see is an assumption made by dominant theories
of time perception. Thirdly, Prosser’s explanation is too simplistic. It is unlikely that our sense of
a passage of time simply comes from the experience of objects enduring through changes. Our
perceptual experiences are limited to those particular times that we call ‘present moments’,
moments during which we are simultaneously aware of the succession of several entities
undergoing endurance or change. We never perceive events occurring at any moments other
than those that we view as the present. Yesterday you were perceiving a different slice of the
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universe than you are today, and the slices of the universe that you perceive appear to line up
neatly in a temporal series. This very fact that perceptual experiences that mark some things as
being present seems to be the main contributing factor to our sense of a passage of time. One
urgent problem, then, is to explain why our experiences mark certain events as present in an Atheoretical sense.
There are numerous other authors who have suggested that our experiences of dynamic
temporal properties are illusory (see e.g. Oaklander, 1993; Mellor, 1998; Dyke, 2002; Skow,
2011; Prosser, 2012; Ingthorsson, 2013; see also Yehezkel, 2013). It is not clear why they think
that this conclusion follows directly from the B-theory of time. A plausible explanation is that the
following sort of argument is implicitly accepted:1
B-Theoretical Argument:
1. The A-theoretical temporal properties experienced in ordinary experience are not
properties to which the theories of physics are committed.
2. If a property perceived in ordinary experience is not one to which the theories of
physics are committed, then the experience is illusory.
3. Hence, when A-theoretical temporal properties are perceived in ordinary
experience, the experience is illusory.
However, this argument is problematic. Premise (2) assumes that in order for our experiences
of time as passing to be veridical A-theoretical properties must be irreducible or ontologically
primitive. This, however, is incorrect. For, our experiences would not be illusory if A-theoretical
properties were akin to properties such as being solid. Physicists will tell us that the mediumsized material bodies that we become acquainted with through experience are not really solid
but consist mostly of empty space. However, few theorists would deny the veridicality of all of
our experiences of solid, medium-sized material bodies. Saying that some experiences are
veridical does not require seeing into the deepest corners of reality.
Our visual experiences of solid medium-sized material bodies and their colors, shapes, and
textures can be characterized as veridical without us having to commit to the claim that these
properties are irreducible or ontologically primitive. B-theorists generally agree with this
characterization of the circumstances under which visual experience is veridical (see e.g.,
Oaklander, 1993; Mellor, 1998; Dyke, 2002; Skow, 2011; Prosser, 2012). They nevertheless
appear to treat time differently from space, colors, shapes, texture, etc., in this regard. And
although they do not deny the veridicality of our experiences of rocks as solid in spite of the fact
that physicists say that they are mostly empty space, they do appear to regard our experiences
of the passage of time as illusory. In the absence of a good argument, this difference in
assessment seems unjustified since our experiences of A-theoretical properties can be veridical,
even if the B-theory of time happens to be true at the fundamental level of reality.
1
Just to be clear, we are not arguing that the authors mentioned here are accepting this argument. We
are merely suggesting a plausible argument that can be made in support of the claim that the passage of
time is illusory if the B-theory is true.
3
The issue of veridicality bears on the question of truth. When we say that our experience of a
rock as solid is veridical, this is normally taken to mean that it is true that the rock in question is
solid (Siegel, 2010). Regardless of whether the veridicality of experience is cashed out in terms
of true content or obtaining facts, veridicality is a function of truth. There can be different truths
at different levels of organization and complexity, and only some of these truths are fundamental
truths. For example, the medium-sized objects that we experience as solid or as having a
smooth surface are neither solid nor have a smooth surface at the fundamental level of reality.
Similarly, even if the B-theory is true at the fundamental level of reality, there is still room for Atheoretical facts, such as time is passing. Of course, in that case, these facts would not be
irreducible or ontologically primitive but would be akin to facts such as the rock is solid. In what
follows, we argue that A-theoretical properties are best construed as weakly emergent
properties.
3. Weakly Emergent A-Theoretical Properties
Emergent properties ‘arise’ out of more fundamental properties at a certain level of complexity
or organization. When people say that a property emerges at a certain level of complexity, they
typically mean that a property that is absent at a lower level appears, or comes into being, at a
higher level. The emergent property is novel and unexpected compared to the properties of the
emergence base. There are, however, two very different versions of emergence.
On a weak version, truths about emergent properties are deducible, at least in principle (or by
simulation), from the low-level phenomenon. The apparent novelty of a weakly emergent
property is an artifact of the limited reasoning skills of mortal human beings. As David Chalmers
(2006) puts it, weakly emergent properties are interesting, non-obvious features that are
interesting and non-obvious to us relative to the perceived simplicity of the underlying principles
governing the system. Weak emergence is uncontroversial. The property of being liquid water,
for example, weakly emerges from the low-level properties characterizing hydrogen and oxygen
molecules. Weakly emergent properties can be derived, at least in principle, from complete
knowledge of micro-level information (Bedau, 1997).
On a strong version, truths about emergent properties are not deducible, even in principle, from
the low-level phenomenon. According to C.D. Broad, in the case of strong emergence, “the
characteristic behavior of the whole could not, even in theory, be deduced from the most
complete knowledge of the behavior of its components, taken separately or in other
combinations, and of their proportions and arrangements in this whole” (1925: 59). Strongly
emergent properties are not deducible from the low-level phenomenon because they are
fundamental properties in their own right but unlike the fundamental properties of physics,
strongly emergent properties appear at a certain level of complexity. The view that there are
strongly emergent properties is controversial and requires a special argument. The view that
there are weakly emergent properties, by contrast, is widely accepted by scientists and
philosophers alike (Chalmers, 2006; Green, 2003).
The suggestion that A-theoretical properties are weakly emergent from the properties of
microphysics make it plausible that our experiences of time passing are sometimes veridical.
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Emergent properties are instantiated by systems that have the relevant organizational
complexity and are typically thought to exert a causal influence on the system’s behavior. The
relevant systems that instantiate A-theoretical properties appear to be events and objects that
undergo changes.
It remains to be seen how A-theoretical properties could weakly emerge from B-theoretical
properties and relations. The least controversial idea is that A-theoretical properties arise from
static temporal properties in the sense of being response-dependent properties, viz.,
dispositions to cause experiences of passage and genuine change in normal perceivers in
normal circumstance.2 If this is correct, then A-theoretical properties are similar to colors, on the
traditional account of colors as secondary qualities. There are, of course, familiar problems with
specifying what ‘normal’ means in this context, but we can set this problem aside here. On this
view, external objects literally possess A-theoretical properties. So, statements about passage
and dynamic change can literally be true. It is literally true that time is passing, that the present
moment is special and that there are dynamic changes. The suggestion that A-theoretical
properties are response-dependent is compatible with the tenet underlying weak emergence—
that is, response-dependent A-theoretical properties are deducible at least in principle from Btheoretical properties. Whether their appearance is novel or surprising, as the criteria for weak
emergence state, is debatable. The suggestion that A-theoretical properties are responsedependent, however, is plausible only if there is a credible account of how the brain generates
A-theoretical properties on the basis of a reality in which there is only static time. In what follows,
we will show that current theories about time perception, at least at first glance, appear to be
able to account for how the appearance of passage and genuine change is generated on the
basis of B-theoretical properties.
4. The Brain’s Internal Clock
Michel Treisman, one of the pioneers in the psychology of time perception, rejected the
commonly accepted naive realist view about time perception in the same fashion that Galileo,
and his contemporaries, had rejected naive realism about color and taste. On this view, we do
not experience temporal properties directly but perceive them by experiencing objects as
enduring through transient changes. Treisman held that the dimensions of space and time relate
to the physical world in a way similar to the way the colors we experience objects as having
relate to the external world. Both time and color perception is constrained by the needs it must
serve. In the case of time perception, it is constrained by the need for accurate predictions.
Treisman’s work on time perception led to the dominant view that the brain keeps track of time
in virtue of high-level cognitive processes involving scalar-timing properties (SET). SET theories
posit the existence of an internal clock in the brain, which generates subjective temporal values
that are typically correctly related to real time (François 1927; Treisman, 1963; Gibbon et al.
1984). Although SET theories were originally developed as theories of the striking regularities in
2
Of course, an account of how these properties emerge from microphysics would be needed. However,
due to space constraints, here we can only make some plausible suggestions.
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the performance of non-human subjects (e.g., rats and pigeons) on temporally-constrained
reinforcement schedules, they were subsequently repurposed as theories of how humans keep
track of time (Wearden and McShane 1988; Wearden 2001; Allan 1998). This framework is
consistent with our proposal that A-theoretical properties are response-dependent properties
since the internal clock in the brain provides the mechanism by which events and objects are
disposed to cause experiences of passage and genuine change to perceivers like us.
Unlike Treisman’s theory, which postulates that the brain’s internal clock is not self-sustaining
but needs to be initiated regularly by external stimuli, contemporary SET theories speculate that
the brain’s internal clock is continuously running and self-sustaining. SET models consist of
several modules, including a pacemaker, a switch, an accumulator, working and reference
memory, and a comparator (Block, 2003; Grondin, 2010; Klink et al., 2011). The linear function
of physical time is thought to involve both a pacemaker that produces pulses at a fairly constant
rate and the accumulation of these pulses in working and reference memory.
During an event, a mode switch allows the accumulator to collect emitted pulses. At the end of
the timed event, the number of pulses in the accumulator is compared with a reference time
from memory (known as reference memory). This comparison is necessary because although
the content (i.e., the pulse rate) of the accumulator is reflected in working memory, the
representations of times, which are necessary for temporal tasks (e.g., comparing interval
durations for similarity), and which are the source of the scalar properties observed in time
estimates, are stored in reference memory (Gibbon et al., 1984; Wearden 2003).
Longer perceptual durations require more accumulated pulses than shorter perceptual durations
(Klink et al., 2011). SET theories thus predict that the experience of succession can reflect the
succession of experiences. However, various factors can affect the pace of experienced
succession and the brain’s ability to keep track of time. For example, if subjects are exposed to
a series of repetitive clicks prior to the duration signal that they are supposed to estimate, the
speed of the internal clock increases, probably due to an arousal effect. This results in the time
interval being perceived as longer compared to an interval preceded by silence (Treisman et al.,
1990; Penton-Voak et al., 1996; Droit-Volet and Wearden, 2002).
The perception of time is also greatly affected by conditions that direct attention to the passage
or flow of time (Wearden, 2003: Block, 2003). For example, time appears to pass more slowly
than normally when one attends to it. Most SET theories view attention as the factor that
controls the on/off switch, where simple delays in closing the switch are supposed to explain its
effects in time perception.
The attentional-gate model is a variation on traditional SET theories, which incorporates a
cognitive module in the form of an attentional gate, i.e., a cognitive mechanism controlled by the
allocation of attention to time (Zakay and Block, 1995; Block, 1990; Block, 2003). On this view,
attention to time is necessary for the cognitive counter to be switched on. The more attention is
allocated to time, the wider the gate opens, and more pulses emitted by the pacemaker are
transferred to the cognitive counter. The attentional-gate model provides a better explanation of
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complex human timing behavior. Timing behavior in animals depends on learned intervals
represented in reference memory. Humans, however, are more flexible in the sense that
although in some temporal tasks such as the reproduction of an interval’s duration the count of
pulses can be compared to reference memory until a match is achieved, in other temporal tasks
reference memory might not be used (Zakay and Block, 1995).
The brain’s time-tracking mechanisms result in successive events being experienced together in
what is sometimes called the ‘specious present’ (James, 1890/1981; Treisman, 1963; Phillips,
2008). The specious present is a short time span (consisting of a few seconds) during which we
are simultaneously aware of several successive entities constituting endurance. The succession
of events being experienced together gives rise to a sense of endurance through transient
change. But, as far as SET theories go, there need not be any fundamental endurance through
transient change in order for us to have such experiences. It follows that SET theories can
explain A-theoretical properties as a function of B-theoretical properties. This explanation, if
correct, gives credence to our claim that A-theoretical properties are emergent properties, for
example response-dependent properties, though the model is compatible with many other ways
of accounting for A-theoretical properties as weakly emergent.
The view that A-theoretical properties are weakly emergent is superior to competing
explanations, i.e., Mellor (1998) and Prosser (2012), for two related reasons. Firstly, Mellor’s
and Prosser’s explanations assume that our experiences of the passing of time are illusory. As
such they are inconsistent with the SET theories, which aim to explain that our subjective
experiences track real time. Secondly, by assuming that all experiences of time passing are
illusory, neither Mellor nor Prosser’s proposals can explain why the brain sometimes tracks the
passing of time correctly and other times incorrectly. Their views entail that all of our
experiences are non-veridical, and if theories of time are necessary, they entail that all of our
experiences are necessarily non-veridical. This is inconsistent with the theories of perception,
which treat some experiences as veridical and others as falsidical. The proposed view is
consistent with both the aims and assumptions made by SET theories and other theories of
perception. In addition to being consistent with SET theories, our proposal also plays an
important explanatory role: it explains what sorts of properties our brain clock posited by such
theories may in fact be tracking. By positing that the brain tracks weakly emergent A-theoretical
properties, the proposed account adds an important piece to an otherwise puzzling brain
behavior.
5. Concluding Remarks
We have argued that even if there is no need for A-theoretical properties at the fundamental
level of reality, since the standard theory to time is not committed to any such properties, it does
not follow that our experiences of A-theoretical properties are illusory and that A-theoretical
properties are not real. A-theoretical properties were likened to properties such as being solid to
illustrate that there is no need to deny that our experience of the passing of time is veridical.
Properties such as being solid are weakly emergent properties that arise at a particular level of
organization and complexity. Similarly, A-theoretical properties can be weakly emergent even if
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the B-theory of time is true. Models of how the brain tracks time support the claim that Atheoretical properties are at least weakly emergent properties, more so than the claim that Atheoretical properties have no real existence.
Although the story we painted thus far is very plausible, a stronger conclusion might be tenable.
For it might turn out that A-theoretical properties must be treated as fundamental properties
after all. This is because the explanation of how the brain tracks time is gappy. SET theories do
not explain how it is possible for perceptual experience to present enduring objects, if Atheoretical properties are not primitive, irreducible properties. A closer look at what it is for
endurance to be presented in experience seems to suggest that endurance requires treating Atheoretical properties as primitive, irreducible properties.
The argument that endurance entails that there are primitive A-theoretical properties begins with
David Lewis’ problem of temporary intrinsics, which is supposed to establish that objects
perdure. As is familiar from the literature on persistence, there are two potential ways that
material bodies may persist through time (Lewis, 1986; Sider, 1994, 2001; Rea, 1998; Hawley,
2010). On the endurance view, material bodies persist through time by enduring. To a first
approximation, an object endures just in case it is wholly present at each time at which it exists.
On this view, material objects do not have temporal parts. On the perdurance view, objects
persist through time by perduring. An object perdures by having different temporal parts at
different times. The problem of temporary intrinsics runs as follows: John sometimes has a
straight shape and sometimes a bent shape. So, John has both a straight and a bent shape,
which is contradictory. Lewis argues that presentism, a special version of the A-theory that
states that only present things exist, avoids this problem because there is no existing time at
which John is both bent and straight. Although Lewis only mentions that presentism blocks the
argument, it is plausible that any version the A-theory would block it. For example, the passage
view that states that only present things are concrete would have the same effect. So, we can
take Lewis’s argument, if sound, to establish the following entailment:
If the B-theory is true, then perdurantism is true
A common response to the argument, which Lewis himself entertained, is to treat all apparently
intrinsic properties as relations to times (Lewis, 1986). ‘John is straight-relative-to-t1 and bentrelative-to-t2’ is not a contradiction. Lewis dismissed this reply on the grounds that it is
implausible to think that all properties are extrinsic. Lewis has a good point. Although the
relational view formally solves the problem, it does so only by making times constituents of all
properties, which is highly unsatisfying. An alternative reply is to argue that apparently intrinsic
properties are instantiated only relative to a time (Brogaard, 2012). The view follows from the
doctrine that the content of utterances must be evaluated for truth relative to particular times
rather than just relative to the world as a whole. Since there is no time at which John is both
straight and bent, there is no contradiction. A particular version of this view is adverbialism,
according to which John has the property being-straight in a t1-way at t1, but he fails to have
that same property in a t2-way at t2. However we spell out the details, this solution formally
blocks Lewis’ argument without assuming that all properties are extrinsic.
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There is, however, a variation of the argument that does not seem as easily dismissed. The
argument runs as follows: If x is F at t1, and y is not F at t2, then x and y are discernible.
However, if x = y, then x and y are indiscernible. So, if x is F at t1, and y is not F in t2, then x is
not identical to y. But if x is not identical to y, then identity through time is not strict identity but
some mereological relation that binds together the temporal parts of objects (Lewis, 1986;
Kitcher, 1990: 123; Sider, 2001). It follows that perdurantism is true. Notice that, in this case,
treating properties as instantiated only relative to times does not block the argument’s first
premise if the B-theory is true. This is because a B-theoretical framework does not prevent us
from comparing x and y with respect to the world as a whole. But with respect to the world as a
whole, if x is F at t1 and y is not F at t2, then x and y are discernible. It’s only within a
metaphysics that prevents cross-time comparisons, viz. a world in which every time is not
equally respectable ontologically, that the argument can be blocked by taking properties to be
instantiated only relative to times. So, it is only if the B-theory is true, that we can infer that
perdurantism is true. In other words, if each time is equally ontologically respectable, then
objects are spread out across time and hence are not enduring. It follows that if there are any
enduring entities, then there are ontologically primitive or irreducible, A-theoretical properties.
So, if we can show that there are any entities that endure, then it follows that the A-theory is true.
If this argument is cogent, A-theoretical properties would not merely be weakly emergent
properties but rather irreducible ontological primitives.
In sum, we have argued that A-theoretical properties might be weakly emergent properties,
which, as we have shown, is not only sufficient for explaining why we experience time as
passing but also consistent with the current theories on time perception. In addition, we
suggested that a stronger claim may turn out to be equally plausible, viz., that A-theoretical
properties are fundamental or irreducible properties.
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