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Running head: APPARENT MOTION: PARADOX RESOLVED
Consciousness and apparent motion: Paradox resolved
Aleksandar Aksentijevic
University of Roehampton, London, UK
Short biography:
Aleksandar Aksentijevic is a Senior Lecturer in Psychology at the University of Roehampton,
London. His main area of expertise is experimental psychology and his areas of interest
include perception, especially auditory perception, perceptual organization, complexity, time
perception and consciousness.
Author note:
Aleksandar Aksentijevic, Department of Psychology, University of Roehampton;
Correspondence concerning this article should be addressed to Aleksandar Aksentijevic,
Department of Psychology, University of Roehampton, Whitelands College, Holybourne
Avenue, London, SW154JD UK. E-mail: [email protected]. Tel: ++44 208
392 5756. Fax: ++44 208 392 3527.
Theory and Psychology (December 2015). Advance online publication.
DOI: 10.1177/0959354315621401
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APPARENT MOTION: PARADOX RESOLVED
Abstract
A perceptual phenomenon called apparent motion has been described as a paradox that
challenges the notions of causality and temporal order. While the illusion has generated a
passionate and often highly technical debate about the relationship between subjective
experience and its objective description, no accounts so far have examined the possibility that
the source of the paradox lies not in the mysterious workings of the brain but in the
inadequacy of the reductionist explanation. Here, I suggest that the paradox is created by the
deep estrangement between subjective and objective perspectives which has created two
separate and conflicted worldviews. The illusion itself reflects a veridical perceptual
experience, while its analytical explanation fails because it lacks the very qualities it is trying
to account for. Although the proposed solution is controversial, it offers a simple and
potentially far-reaching explanation for a long-standing problem in psychology and
consciousness research.
Keywords: Apparent motion; color phi; consciousness delay; Stalinesque;
Orwellian; precognition
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Consciousness and apparent motion: Paradox resolved
The Problem
“All too rarely do I find colleagues who will assent to the proposition (which I find
irresistible) that the very ground-rules of science, its concern only for public knowledge,
preclude its finding an explanation for my consciousness, the one phenomenon of which I am
absolutely certain. (Pippard, 1992, p. 29)”
The discovery of discrepancies between subjective perception and the ostensibly real
physical phenomena has been one of the leitmotifs of consciousness research. Such
discrepancies are most often found in perceptual illusions—situations in which stimuli
produce perceptions that are incompatible with their objective descriptions. From the outset,
psychologists have been interested in illusions and for good reasons (Fechner, 1860). First,
illusions are somewhat mysterious in the sense that there are no easy explanations as to why
they should be occurring. Second, they seem to offer the promise of a deeper understanding
of perception and cognition through the use of controlled experimentation.
One important family of perceptual illusions concerns the so-called apparent motion
illusions. Apparent motion is created by means of discrete events which, when arranged
appropriately in space and time, give the appearance of movement that is not present in the
original (static) stimuli. First reported by one of the founders of Gestalt psychology Max
Wertheimer (1912), apparent motion has been researched intensively by a number of
psychologists (see Kolers, 1972). Apparent motion phenomena are generally divided into
four categories: Alpha—expansion and contraction caused by sequential presentation in the
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APPARENT MOTION: PARADOX RESOLVED
same location, of two objects of different size; Beta—movement is perceived between two
distinct, sequentially presented objects; Gamma—expansion/contraction caused by sequential
presentation, in the same location, of two objects of different luminance; Delta—motion in
the direction opposite to the stimulus sequence (the second light needs to be much brighter
than the first). The Beta phenomenon comprises three temporal stages. When lights are
presented simultaneously or with a very small lag (roughly under 50 ms for a visual angle of
few degrees), they are perceived as distinct (simultaneity). When the lag exceeds about 200
ms, the perception is of a regular sequence (succession). Between these extremes lies the
region of apparent motion within which one light is perceived as moving from left to right
and back. Original research (Korte, 1915) indicated that in order to maintain smooth motion,
increase in the distance between stimuli should be accompanied by an increase in the inter-
stimulus interval (coupling; Korte’s third law of motion). This was challenged by subsequent
studies (e.g. Burt & Sperling, 1981), which found that increase in spatial distance required a
decrease in temporal distance and vice versa (trade-off). The contradiction was resolved by
Ephstein & Kubovy (2007). While Korte’s law obtains at higher speeds (high ratios of spatial
and temporal distance), the trade-off is observed at lower, more commonly encountered
speeds.
Apparent motion has been studied in many contexts and under varied experimental
conditions. A particular form of the effect named the Colour phi phenomenon (Kolers & von
Grünau, 1976) has been widely discussed in the consciousness literature because it vividly
exposes the temporal paradox1. Assume a red-coloured light is flashed for approximately 150
milliseconds (ms). After a 50-ms interval, a green-coloured light, placed to the right of the
first light flashes for the same amount of time. From this description it appears that an
observer should perceive two differently coloured lights flashing sequentially—or at least
movement without the premature change in colour. While the former can be achieved by
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increasing the time interval between the lights, under optimal motion conditions the
appearance is of a light trace moving continuously from left to right and changing colour
abruptly mid-way. When both shape and colour are varied together, a smooth change in shape
is still accompanied by an abrupt change in colour at the centre of the display.
The paradox of apparent motion can be stated as follows: How is it possible to
perceive motion from stimulus A to stimulus B before the onset of the latter? In the example
of Colour phi, the question is how can we observe the second colour before the onset of the
second stimulus (Goodman, 1978)? What makes apparent motion unique is the involvement
of time which is assumed to have a special ontological status (Phillips, 2014). While
puzzling, spatial illusions and distortions can at least be described in terms of geometrical
transformations (e.g. non-Euclidean geometry; Watson, 1978) and/or neural processes (lateral
inhibition, excitation and masking; Eagleman, 2001). By contrast, apparent motion presents a
direct challenge to the notions of causality and temporal order. The philosophical
implications of the paradox are serious. In order to explain it, one must acknowledge a
fundamental disagreement between two descriptions of the phenomenon. This in turn opens
up a wide explanatory gap which is made worse by the lack of understanding of the
relationship between perception and consciousness. The assumption of simultaneity of
perception and consciousness appears to break down and the two have to be treated as
separate entities2.
Dennett (1991) proposed two interpretations for the paradox—Stalinesque and
Orvellian (see Akins, 1996 for a detailed analysis; Dennett & Kinsbourne, 1992). According
to the former3, the perception of the two discrete events is veridical. It is the post-processing
that occurs afterwards that somehow revises the perceptual input, generates the illusion and
presents it to consciousness. Since there is a delay between perception and conscious
registration, both stimuli have been processed and the motion signal encoded by the time the
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scene reaches consciousness. One example of the Stalinesque account is Tye’s (2003)
backward-looking model according to which, both events are perceived and processed before
being presented to consciousness in a compressed form to create a momentary experience
within a “specious” present4. This somewhat mysterious process ensures that the delay
between the perception and conscious experience is cancelled out and the assumption of
temporal order is maintained (see also Dainton, 2010).
By contrast, on the Orwellian scenario, the brain’s intervention takes place in
memory. Veridical representations of the stimulus (a sequence of stationary light flashes) is
encoded and stored in memory but the same form of perceptual tampering hypothesized
above changes the original perceptual representation. This distorted representation is stored in
memory erasing the original record of the event. One example of the Orwellian revision is
Grush’s (2007) account of the cutaneous rabbit illusion (Geldard and Sherrick 1972) which
has the same postdictive character as the apparent motion phenomenon5.
To summarise, according to the Stalinesque account, observers perceive, and
according to the Orwellian, remember the illusion after a brief delay (of the order of hundreds
of milliseconds), during which the brain supposedly engages in a series of operations which,
for unknown reasons, change the veridical percept into an illusory one. The notion of
backward “reconstruction” or postdiction (Eagleman & Sejnowski, 2000) is not a new one. In
the introduction to his review of apparent motion literature, Kolers (1972) discussed Zeno’s
paradoxes of motion thus: “One interpretation of Zeno is that the perception of motion is
based not on the current sensory information, but on memory for position and time; hence on
comparison, guess or inference. This interpretation alleges that what our visual system
actually detects are objects in different locations at different times; noting the disparity, we
create a sense of motion to resolve it. Perception of objects, memory of their position, and
delusion are therefore the main components, according to this theory, of our perception of
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motion. (p. 1).” This idea underpins the classical physicalist view according to which
perception of motion is caused not by an object undergoing motion, but by the limitation of
the mind which is incapable of processing the infinity of discrete spatial positions as slices of
reality. According to this view (e.g. Helmholtz, 1855), the mind fails to keep up with the
veridical perceptual processing and consequently creates solutions which in the final analysis
do not correspond with reality as defined by science. The question of why a static
interpretation should be considered veridical given the facts of experience is left unanswered.
Kolers stated that the discovery of apparent motion by the German physiologist Exner (1875)
appeared to put paid to the notion of memory interference; successive events occur so rapidly
and the perception of motion is so immediate that memory cannot be implicated in the
process. Rather, in opposition to Helmholtz, Exner suggested that motion was a basic element
of perception and cognition.
It is worth noting that in over a century of research there has been little progress in
understanding perceptual illusions, especially the family of apparent motion phenomena. A
number of theories have been put forward (see Arstila, 2015) and while differing in
perspective and emphasis, they all face an unavoidable (and as yet unresolved) problem. In
keeping with consciousness research, attempts at explaining the apparent motion paradox
have only led to more questions. While this does not necessarily imply the futility of the
quest, it does bring forth the question similar to that posed by some philosophers in the
context of physics, namely, is there a point at which the enquiry is likely to reach an end? I
propose that if not the end, then the end of the beginning might be reached not by a careful
scientific examination of the relationship between the subjective and objective accounts, or
by probing ever smaller chunks of matter using sophisticated technology, but by addressing
the question that eludes most of the current theories, namely, why should the brain indulge in
falsifying/modifying a veridical percept? What compels the brain to warp what is a simple
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physical event (two lights blinking in succession) into a mysterious causality-defying
paradox? Further, if the brain indeed does this, why is it that the experimenter remains
unaffected? For if they are subject to the cerebral subterfuge, how are they able to detect it in
another person?
Irrespective of the hypothetical cause of apparent motion, each theory must explain
the fundamental disagreement between the objective description (stationary lights flashing in
succession) and the subjective perception of continuous motion. Apart from exceptions that
challenge the veracity of subjective reports, no theory seems to disagree on the need for some
form of retrospective inference, filling in, reconstruction or completion on the part of the
brain. The only point of contention is the precise mechanism responsible for this
legerdemain. Most postdictive accounts of apparent motion (as well as theories of
consciousness) contain at least one of the following: a) a delay between perception and
conscious awareness and/or b) temporal disparity between the two. The former implies two
commensurate if misaligned temporal frameworks running in parallel whereas the latter
posits a fundamental disagreement between the two temporal metrics.
The idea of a temporal delay between sensory registration and consciousness has
been prominent in psychology and neuroscience (Eagleman & Sejnowski, 2007; Libet,
Wright & Gleason, 1982). Although superficially, the presence of a brief delay does not seem
to upset the common temporal order, reflection shows that that this is not so, for if the
observer experiences a delay between stimulus presentation and consciousness, what places
the experimenter at a privileged vantage point from which they are able to detect it? If
delayed consciousness is a universal property of minds, the experimenter’s mind should be
subject to it and consequently unable to detect the delay in another individual. Alternatively,
the idea creates infinite regress where everyone’s consciousness is delayed as soon as they
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exchange the role of experimenter for that of a subject. No appeal to precise experimentation
or sophisticated mathematical analysis can side-step this problem.
What about temporal disparity so reminiscent of the relativistic Twin paradox? The
idea here is that at least temporarily the temporal metrics of the experimenter and the subject
are substantively different. For example, 500 ms on the experimenter’s clock is experienced
as an instant by the subject. Different solutions have been suggested—from the warping of
the mental time line or multiple drafts (Dennett & Kinsbourne, 1992) and time markers
(Grush, 2004), to the contraction of an extended interval into a brief moment (Tye, 2003),
different processing speeds for location and motion in the brain (Arstila, 2015) and quantum
entanglement (Hameroff & Penrose, 2014). Perhaps the most enduring has been Libet’s (e.g.
Libet, Wright, Feinstein & Pearl, 1979) “backward referral” hypothesis according to which
consciousness backdates its records of events which are initially registered subconsciously.
The apparent paradox of backward causation (Churchland, 1981) generated a number of
interpretations—from refutation (Pockett, 2002) to evidence for non-material mind (Eccles,
1985). Yet the same logic applies—if the observer’s cognition operates under a “different
clock” even for an instant, what special quality enables the experimenter to observe the
mismatch in someone else’s mind? One possibility is that motion perception is subject to a
form of relativistic contraction of space-time, underpinned by a non-Euclidean geometry.
The study of spatial perception (Fernandez & Farell, 2009; Luneburg, 1947) Gestalt
grouping phenomena (Arnheim, 1960) and optical illusions (Watson, 1978) suggests that
Euclidean geometry cannot adequately describe the dynamic interplay between elements of a
perceptual scene (Aksentijevic, Elliott & Barber, 2001)6. Thus, describing spatial
relationships (global or local) within the framework of a non-Euclidean geometry could
provide a better description of visual experience. While they require more complex
mathematics, non-Euclidean geometries can offer a better fit between theory and data. The
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question arises as to why this should not be possible in the case of apparent motion. Although
in vision, introducing non-Euclidean space involves computational complications, it
complements and refines the existing linear models. In other words, visual grouping does not
challenge the tenets of Newtonian physics concerning the relationship between time and
space. Introducing non-linearity to explain apparent motion would involve contraction in
space-time similar to that described by Einstein (1916/2001). A mathematical model of
apparent motion by Caelli, Hoffman and Lindman (1978) proposed a relativity-like Lorenzian
space-time contraction of the experimental space-time to account for the inability of cortical
firing to keep up with the speed of stimulus presentation. In what is essentially a neural
Stalinesque model, the authors suggested that the non-linearity of apparent motion should be
described by a positive-curvature elliptic geometry. Similarly, an approximation of Lorenzian
contraction has been invoked to explain the cutaneous rabbit illusion (Goldreich & Tong,
2013). While both studies evoke a special-relativity-like framework to account for the
temporal-order paradox, neither takes the crucial step, namely, treating the experimenter’s
spatio-temporal metric as different from that of the observer. This of course would be
necessary to explain why the observer’s time disagrees with that of the experimenter (and
presumably other observers as well). The idea stretches the boundaries of credibility and even
if it were to be successfully implemented, it would still have to explain which of the two
reference frames was privileged and why.
Apparent motion represents a particularly vivid example of a lack of isomorphism
between the objective, scientific worldview and its subjective counterpart because in addition
to the mystery of non-existent motion it presents us with the puzzle of an event being
perceived before it occurs. Since we cannot deny the reality of our perception, a rational
explanation must involve some form of post-hoc reconciliation between its content and the
objective description. Understandably perhaps, no theory so far has considered the simplest
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and most obvious possibility, namely, that at the bottom of it all there is no mystery—that the
paradox of precognition reflects reality and that the experimental setup (and accompanying
line of reasoning) used to elicit it, are somehow in error. I say “understandably” because the
scientific paradigm offers the promise of a steady, fruitful progress. Starting from a set of
observations and through abstract elaboration, reality is dissected into apparently more and
more fundamental mechanisms and units. This form of reductionist description of the world
frees the mind from having to consider inconvenient irregularities. In order to be successful,
to move forward, a reductionist epistemology must appear self-contained and self-sufficient,
that is, a closed sui generis system of knowledge which at least formally is independent of
anything outside of its remit. It is this process of deliberate and presumably necessary
isolation from a broader context that gives science its power. It also underpins the supposition
that the scientific description of subjective experience is in some sense true. Arguably, as
noted by Pippard above, it also robs science of ability to explain first-person phenomena.
Let us examine this on the example of apparent motion. Wertheimer (1912) who
conducted the first systematic investigation and proposed the first theory of apparent motion,
doubted that the sensory atomism or “elementarism” of von Ehrenfels, Wundt and Titchener
according to which perception and cognition were built from a set of interacting or
“intermixing” fundamental sensations, could answer important questions about perception.
This insight led him towards a new and highly influential approach to psychology, namely,
Gestalt. The importance of Gestalt approach to the study of perception cannot be
overestimated. It was the first (and most successful) modern attempt to highlight the
importance of relationships between elements for perception. Wertheimer was right to doubt
elementarism. What escaped his attention was that the perceptual and cognitive processes
that were responsible for creating the experimental apparatus were exactly the same as those
perceiving the illusion. In other words, there is no reason to believe that the scientific
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framework responsible for arriving at the objective description of the phenomenon (two
stationary lights flashing in succession) was in any way different from or superior to, the
subjective perception which it was attempting to study. Gradual and insidious separation and
alienation of the two perspectives led to a situation in which subjective perception (which
ultimately gave rise to the very experimental setup Wertheimer was using) assumed the
mantle of objectivity and became its own investigator and judge. What appears to me as a
trace of light moving from left to right and changing colour mid-way must appear so to
Wertheimer too. Yet, he possesses an ostensibly superior grasp of the situation and knows
(without perceiving) that the two lights are separated because he did not approach the
problem from perception but from the analytical description of the experiment.
Under the weight of accumulated scientific knowledge and technological progress, the
experimental setup was taken as the objective benchmark against which phenomenology was
to be judged. Yet, the eyes (and more importantly, the brain) that perceive a travelling light
smudge are the same as those that have created the stimulus presentation and measuring
apparatus (rulers and clocks) used to investigate the illusion. How is it that these same eyes
do not see the illusion while designing the experiment? If they did, how would they know
that the lights were really separate? If they did, they would not have discovered the static
nature of the display. What caused the same mind to come to view the world in two such
mutually contradictory ways?
The solution
Although interesting in itself, apparent motion together with other temporal illusions
reveals something important about the relationship between subjective experience and its
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scientific explanation. Apparent motion does not represent a pathway to understanding how
the brain creates consciousness. Rather, it sheds light on the chasm that exists between the
two ways of knowing which has led to a great deal of conceptual confusion in consciousness
research. The problem was stated succinctly and beautifully by Democritus (Fragment 125, in
Dahlin, 2001): “According to common speech, there are colours, sweets, bitters; in reality
however only atoms and emptiness. The senses speak to the understanding: ‘Poor
understanding, from us you took the pieces of evidence and with them you want to throw us
down? This down throwing will be your fall.’” (emphasis mine).
Commonly, only the first sentence is quoted in physics textbooks. Viewed in
isolation, it is supposed to demonstrate the sophistication of the great pre-Socratic
philosopher, whose insight chimes in well with modern science. However, read in its entirety,
Democritus’s statement reveals a deeper truth. Rather than an affirmation of the superiority of
atomism, it can be seen as a melancholy realization that an unhealthy split between
experience and abstraction was under way, as well as a warning issued to the
“understanding”. There is no way of knowing if Democritus truly meant what he was saying
or whether he was being ironic given that his words run counter to his philosophy which saw
true knowledge as that achieved by means of intellect. Either way, the statement highlights
one of the most pressing problems in epistemology and philosophy of science. My
interpretation of Democritus’s words agrees with Dahlin’s: Increasingly emboldened by its
triumphs, understanding forgot its perceptual roots and turned on its progenitor. It started to
view subjective experience as unreliable and fallible, constantly seeking ways to improve and
ultimately explain it. Moving away from its origins, it accumulated power to the point of
becoming the ultimate arbiter of reality which was now described in terms of abstract
equations and invisible forces. Subjective experience was ignored or even denigrated. Like a
parvenu ashamed of their humble roots, abstract thought has projected its weaknesses and
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limitations back onto subjective perception (and ultimately consciousness) while refusing to
question its own limitations or its indebtedness to experience. It has constructed theories and
metaphors which ultimately justify its triumph. The experienced dynamic interplay of natural
phenomena which evades mathematical description is treated as an inconvenience which
obscures the truth—the universe as a void populated by particles, which on careful inspection
are not even particles but probability waves or abstract 10-dimensional strings oscillating at
the speed of light—or quantum foam. It appears that Democritus was aware of the point
which tends to escape many modern thinkers. Abstraction might bring many advantages but it
must also involve loss of information and ultimately, meaning. There is something
paradoxical in the realisation that a search for deepest meaning must result in the loss of
meaning.
The disparity between the subjective and objective domains could be ignored for as
long as the apparatus of science was directed towards ever more remote phenomena well
outside human experience. The problem escalated the moment the mind became the central
target of enquiry. Classical psychophysics established lawful relationships between physical
and mental quantities. However, knowing that measures used in arriving at these originate in
subjective experience, one can ask precisely at what point did these same measures become
“objective” and fit to assess subjective perception and cognition (from which they emerged)?
Taken further, this line of reasoning suggests that psychophysical laws do not reflect the truth
about the mind but describe its relationship with the Euclidean linear metric which itself
represents the result of a long-term cleaving of (non-linear) perception and (linearized)
measurement.
However, the tension between the first- and third-person perspectives is laid bare in
the study of consciousness and more specifically studies of temporal order. It does not come
as a surprise that today there are several theories of temporal order illusions7 and very little
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consensus on what and why causes these illusions. After a century of effort by scientists and
philosophers, we are no closer to understanding why two lights flashing sequentially produce
an illusion of motion that challenges causality and the complexity of proposed explanations
appears to be increasing. The reason is that researchers have been seeking the answer in ever
smaller and more remote realms—from behaviour, brain hemispheres and regions, neural
modules, assemblies and networks to individual neurons and sub-neuronal structures all the
way to quantum fields. While requiring increasingly more abstract mathematics and more
computational power in order to relate the data back to the original macroscopic observation,
this kind of strategy cannot answer the obvious question of how consciousness, which
enables us to perceive, think, feel and create science, can be studied by an approach that
denies it special status and treats it as an independent phenomenon, detached from everything
including the conscious thoughts and actions of the scientist. Even if this were possible, how
could it be achieved by methods which deliberately seek to disavow and “throw down” their
subjective origins8?
How does analytical dissection of experience create paradoxes? In the case of
apparent motion, the principal culprit is discretisation of time (and space) which was
contemplated as early as Zeno’s time (Glazebrook, 2001). Subjective consciousness perceives
time as continuous9. The need to represent time as a sequence of discrete intervals has little to
do with objective truth and everything to do with the need to capture the fluid, ever-changing
experiential reality within a static framework accessible to the limited cognitive grasp of the
analyst. Decomposing motion into static frames or equations “freezes” the analogue,
constantly changing phenomenon and preserves it in a form that permits further analysis and
elaboration. At the same time the act of discretisation deprives the resulting description of the
dynamic essence of movement. Even if movement is reconstituted by a careful manipulation
of static stimuli, this tells us nothing about why the stimuli should be causing the motion or
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how subjective perception is related to them—beyond the fact that motion is experienced.
The correspondence between the two descriptions of the world has been lost, perhaps
irretrievably.
The scientific study of consciousness is about providing static descriptions and
models for phenomena that are inherently dynamic. Even this statement is potentially circular
in the sense that the dynamic nature of perception and cognition can only be detected against
a static background of a derivative scientific description. The subjective perception of motion
eludes science in part because it contains information that cannot be captured by static mental
and mathematical models. No equation can reconstruct the phenomenal essence of motion
because it itself lacks that which it describes. While this is not obvious in the case of simple
forms of real motion, it becomes fully evident in the case of apparent motion where the static
description clearly fails to capture the quality of the phenomenal experience.
The resolution of the paradox lies in understanding and acknowledging the
epistemological and methodological consequences of the gradual historical separation of the
first- and third-person perspectives10
. Over time, the crucial importance of subjective
experience for the development of science (and mathematics) was gradually airbrushed out of
the history of science in a manner one could perhaps label “Orwellian”. Increasing reliance
on sophisticated apparatus and mathematical models pushed perception into the background
to the point of becoming a poor cousin of science. Perception did not fight back. It accepted
its subservient status and allowed abstract theorising and technological prowess to dominate
the discourse. By the time Exner and Wertheimer began studying apparent motion, there was
no way of “rewinding the film” and restoring the unity of subjective experience and scientific
explanation. Fortunately, the unintended pun is appropriate here given that this was the time
of the first flowering of cinema—the new art form based entirely on apparent motion (e.g.
Steinman, Pizlo & Pizlo, 2000; but see Hoerl, 2012). While the ability of film technology to
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reconstruct motion from static images hints at magic, this does imply that the integrated
experience of motion should be viewed as a flawed representation of a static reality (as
proposed by Helmholtz, 1855, and cinematographic models of perception; Dainton, 2010).
In common with other perceptual illusions, apparent motion seemed like a new and
exciting avenue of psychological research. It is not surprising therefore that original
researchers did not consider the possibility that the illusion did not lie in the percept but in the
analytical mode of reasoning which disassembles experience into simple components and
then attempts to reassemble it Humpty Dumpty-like. 103 years after Wertheimer’s seminal
investigation, perhaps the time has come to reassert the importance of subjective experience
which gave Gestalt psychology its enduring appeal. There are no mysterious mechanisms that
erase the veridical perceptual image only to replace it with a false memory of the event.
Perception is not tampering with sensation in order to fulfil some hidden agenda. There are
no covert processes and complex interactions that create temporal mirages or take the
observer outside the common space-time reference frame. Instead, there is the reality of
experience which precedes analysis and is superior to it in terms of abundance and quality of
information. Paradoxes and distortions arise because the description of the world offered by
the analytical mode of enquiry is quarantined from its origins and treated as the sole standard
of truth. Once the artificial barrier between experience and scientific knowledge is removed,
paradoxes disappear, the apparent motion effect is properly seen as a primary datum of
experience and the objective stationary-lights explanation as a simplified description that
lacks the wherewithal to reconstruct the percept. The key point is that this debility is self-
imposed. A static, linear description of the world was created in order to overcome the
impermanence and unpredictability of real experience which it was now supposed to study.
What the static experimental setup (and the accompanying intellectual apparatus) gives the
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scientist in terms of controllability of the problem space and precision, it takes away in terms
of ability to explain the richness of subjective experience.
Given that a great deal of scientific effort has been devoted to improving the precision
of measurement relative to unaided perceptual judgment, it is not surprising that
consciousness appears fuzzy, imprecise and even paradoxical when subjected to the rigour of
a physical experiment. It is equally unsurprising that the precise physical description of the
apparent motion experiment does not accord with perceptual experience. Rather than asking
why consciousness refuses to agree with the physical description of the phenomenon, we
should ask why it is that the physical description does not behave in accordance with the
perceptual experience. While, as demonstrated here, attempts at answering the first question
trigger paradoxes, the answer to the second one is straightforward—if unappealing.
Conscious perception is the beginning and end of science. If we did not implicitly accept the
validity of our perception at the very beginning, scientific progress would be impossible. We
must treat perception as veridical in order to record and describe different phenomena such as
regularities in nature. This requirement becomes even more important when it comes to the
two pillars of science, namely, systematic observation and construction of a measurement
system. Doubting perceptual experience from the start would rob science of its claim to
objectivity and reduce it to just one of a number of competing accounts of reality. Science is
based on the conviction that our experience of patterns and regularities in nature corresponds
in some way to the truth about the world. Yet, as Wertheimer and his colleagues
demonstrated so forcefully, it is the mind that seeks out patterns and regularities in order to
cope with the complexity of the environment. It follows that the discovery of troubling
discrepancies between the subjective and objective descriptions of certain phenomena such as
the apparent motion illusion brings into question the foundations of science. The dilemma is
as follows: Either conscious perception is untrustworthy in which case the validity of science
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APPARENT MOTION: PARADOX RESOLVED
must be in doubt (because science itself is based on subjective experience), or the
discrepancy must be due to the divorce between science and its subjective origins. Since the
first option is unpalatable, the second one seems unavoidable.
What are the consequences of such a conclusion? If the analytical framework of
enquiry is flawed vis-à-vis consciousness, then reductionist/materialist theories must by
definition be limited in their capacity to solve the hard problem (Chalmers, 1995). The move
away from direct experience is always accompanied by information loss. The increase in
precision and clarity at a lower level of explanation is bought at a cost. The rich, dynamic,
contextual information is deliberately discarded in favour of austere abstract generalisation.
As the subjective and objective modes of knowledge drifted apart throughout history
(Castillejo, 1982), this fact was either ignored or forgotten. If explaining apparent motion has
proved virtually impossible, producing a successful scientific theory of consciousness must
be that much harder. The “cause” or “source” of consciousness is unlikely to be found in
some miraculous property of action potentials or neural networks. Nor can the ineffable
conscious experience be created ex-nihilo through emergence of complex properties from an
inert (in the sense of intentionality) substrate blindly obeying physical laws. In all cases, the
explanans is too denuded of the qualities characterising the explanandum.
In conclusion, I agree with Dennett and Kinsbourne (1992) that the temporal paradox
exemplified by apparent motion is important—not because it tells us something substantive
about how the brain works but because it exposes a serious epistemological problem at the
heart of consciousness research. Paradoxes studied by psychologists do not reflect a
conspiracy by the brain aimed at depriving us of reality but a generally ignored
disengagement and alienation of subjective and objective domains that has been taking place
for at least several centuries. Although this separation does affect natural science it is when
the scientific apparatus is turned on consciousness that a deeper paradox is revealed.
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APPARENT MOTION: PARADOX RESOLVED
Scientific method which has done everything to purge itself from the vagueness and
uncertainty of subjective experience from which it originates is used to explain that to which
it is opposed in principle. Furthermore, and despite all methodological refinements, scientific
enquiry originates and ends in subjective experience. Without implicit belief in the
veridicality of perception, humans would never have undertaken the journey of exploration of
the world around them. Consequently, if perception and cognition are flawed, science must
be flawed too. The only way to avoid this meta-paradox is to realise that temporal illusions
do not reflect some peculiarity of perception but the inability of the objective description to
capture the quality of subjective experience. They are a testament to a long-term civilizational
process that has secured the triumph of logic and science while creating a deep
epistemological rupture. Perhaps, a better understanding of consciousness cannot be gained
without understanding how and why this rupture occurred.
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APPARENT MOTION: PARADOX RESOLVED
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1 “Colour phi” is a misnomer. Wertheimer (1912) described phi as “pure” motion effect
which is perceived in the absence of an object being seen to change its position. The
phenomenon should properly be called “colour beta” (but see Hoerl, 2012).
2 A similar paradox involving monochromatic lights was described by Uttal (2008; p. 75).
3 The Stalinesque model is named after 1930s show trials in the USSR, at which false
evidence was produced to incriminate the accused. The Orwellian model owes its name to
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Orwell’s account of a totalitarian state’s ministry which constantly updates the past to suit its
purposes by replacing old records with new ones.
4 Some authors (“extentionalists”) disagree with the notion of an instantaneous present. For
example, Dainton (2008) suggests that the experienced present lasts approximately half a
second.
5 When a series of 15 tactile pulses is delivered in three stages (5 at the wrist, then 5 at 10 cm
higher up the arm and finally another 5 at 20 cm up the arm), rather than perceiving three sets
of spatially distinct groups of pulses, participants reported a series of spatially and temporally
equally distributed individual pulses travelling from the wrist towards the elbow. Grush
claimed that the sensation of travelling pulses was due to the fact that the participant’s
memory overwrote the initial memory trace and replaced it with the more recent one.
6 Non-Euclidean distance relationships have also been found in other areas such as similarity
judgments (e.g. Tversky, 1977).
7 Related to this, there are over a dozen competing theories of consciousness (Katz, 2013).
8 Here, a good example is the common reference to consciousness as an epiphenomenon of
brain activity.
9 Equally, one can talk about spatialization of time which was criticised by Bergson (e.g.
1910).
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10
The problems with the Cartesian dualism vis-à-vis psychology were noted and critiqued by
Husserl (1954). Husserl was very much aware of the schism between science and subjectivity
which he claimed was responsible for the “crisis” of “European humanity” (Feest, 2012).