Temporal Experience: Models, Methodology and Empirical Evidence Abstract This paper has two aims. First, to bring together the models of temporal phenomenology on offer and to present these using a consistent set of distinctions and terminologies. Second, to examine the methodologies currently practiced in the development of these models. To that end we present an abstract characterisation in which we catalogue all extant models. We then argue that neither of the two extreme methodologies currently discussed is suitable to the task of developing a model of temporal phenomenology. An entirely top-down methodology is largely insensitive to empirical findings, while one that is entirely bottom-up is insensitive to both introspective evidence and more general philosophical considerations. We recommend a methodology that falls between these two extremes. 1 Introduction Our experiences have a temporal aspect. Not only do our experiences represent that the world has a temporal structure—the content of our experiences has a temporal dimension—but the experiences themselves have, or seem to have, a temporal structure. Defenders of various competing models have attempted to spell out the relationship between the representational and phenomenological content of our experiences, on the one hand, and the temporal structure of those experiences, on the other. Rather unfortunately the conceptual distinctions to which these models appeal are often either developed in different ways, or, at best, use different terminology. For example, Dainton (2008; 2010; 2011), Chuard (2011), Lee (2014; forthcoming), Phillips (2010) and Grush (2007) each have differing catalogues of what they identify as the main models. This proliferation of models renders the task of evaluating said models in the light of new evidence difficult. To add to the difficulty, there appears to be a shift in the methodology used in arguing for and developing such positions. More recent players in the debate, e.g., Watzl (2013), advocate analysing in detail particular psychological experiences, and others, e.g., Lee (2014), explicitly endorse a bottom-up approach to the task of modelling temporal experience, i.e., an approach that relates claims about the manner in which temporal information is neurally coded and processed to the manner in which experience itself is temporally structured. Before this shift most of those participating in this debate practiced an approach that, while not strictly top-down, in that the methodology attempts to accommodate some empirical findings, nevertheless 1 develops and critiques models largely on the basis of phenomenological considerations, and tends to cherry pick empirical findings to suit. Given the divergence of recent literature on temporal experience regarding its main models and methodology, we have two interrelated aims. First, we catalogue the models developed in this literature. In doing so we make clear the relations between and among the components that different extant classifications rely on, make salient the manner in which these proposed classifications of models diverge, and point out the possibility of developing other models. Second, we argue for the use of a particular methodology on the grounds that it can facilitate a systematic incorporation of empirical findings as well as offer a fruitful starting point for empirically-informed enquiry. Our proposed method slots between an introspective-based top-down approach and a bottom-up approach, which seeks to expunge the ‘classic’ models of the largely top-down approach. We argue that we should not completely abandon the classic models yet we should incorporate empirical claims. Additionally, we make use of our classification in order to establish a rough division of labour between tasks that lend themselves to a phenomenal-focused enquiry and those that should be informed by cognitive science. Our paper is thus organized as follows. First, we catalogue the models that have been proposed. We subsequently examine the general sets of methodological practices in the literature. We next turn to two cases in which empirical findings have potential impacts on particular models. Then we explore the implications of these cases on methodology and, in turn, argue for the need to incorporate and analyse empirical literature systematically. Nevertheless, we think that existing models, often inspired, as they are, by top-down methodology, still have a useful role to play in investigation. They have empirical consequences and can be used as a fruitful starting point for empirical investigation. Thus, we argue for an integrated approach to the analysis of temporal experience. 2 Cataloguing the Models Our cataloguing of the main positions involves, first, elucidating three levels and, second, explicating the relational properties between what it is that exists at those three levels during one temporal interval and what it is that exists at those levels during another temporal interval. We call the first of these a vertical characterisation, since it highlights the relationship that obtains between phenomena that occur during the same instant or temporal interval, but at different levels. We call the second of these a horizontal characterisation, since it highlights the 2 relationship that obtains between phenomena that occur during different instants or temporal intervals and at the same or different levels. We take temporal phenomenology to be the way things seem to the subject of an experience: that it seems to subjects (at least some of the time) as though events occur in a particular order, with a particular duration. We assume that subjects have a temporal phenomenology and that this temporal phenomenology is our target of investigation. As detailed in the next section, features of that temporal phenomenology may or may not appear in the hierarchy—whether they do depends upon the type of realism or antirealism one adopts. However, we make no further assumptions about the way things seem to subjects. For example, we do not assume that it seems to subjects as though there is an experience of succession, as opposed to merely a succession of experiences. We also remain neutral regarding the relationship between the representational content of experiences and their phenomenological content. We assume neither that phenomenal content is simply a function of representational content (representationalism) nor that phenomenal content fails to be determined by representational content (non- representationalism). In this respect, at least, we attempt to be ecumenical in terms of the various positions one might have about the representational and phenomenological content of experiences. Not everyone might accept even that. One could be an error theorist about such phenomenology, suggesting that we do not even seem to experience events as having an order or duration but, instead, some cognitive apparatus induces in us beliefs that we have such experiences. As will be seen, however, our classification system makes room for a myriad ways in which we can be wrong about our experiences of temporality. 2.1 Vertical Characterisation and Atomic Non-Extensionalism In our classification the bottom level—level C—represents external time. That is, it represents events and their temporal properties and relations measured independently of our perceiving them.1 The top level—level A—represents the structure of a subject’s experience. Realists suppose that our experiences include the sorts of temporal properties and relations that seem to characterize this experience. That is, the realist supposes that the experience has some, or all, of the temporal structure that is characterised by our temporal phenomenology. The antirealist denies this. She holds that our experiences themselves lack temporal structure even though she may agree that it seems to us as though they do. Realists seek to account for these relations in 1 We assume that level C is continuous—it is characterised by instants of zero duration. 3 their models while antirealists have the task of explaining why we, at the very least, believe that we experience such relations. Finally, level B represents the supervenience base of the temporal experience. We assume that this consists in brain activity, e.g., a brain state at a time or temporally extended brain processes. Below is a generic vertical model that shows the different views one might have about the three levels. Figure 1: The Generic Model Map In the vertical classification level C represents the length of time (an interval or instant) of the supervenience base. Level A indicates whether the experience has experiences as proper parts or not. If it does have proper parts then they could either be parts in virtue of the content of such experience—as in Dainton’s characterization of retentionalism in which the set of retentions that characterize a specious present appear to have ordering and a duration due to the different degrees of presentness each retention has—or the parts might be related via temporal relations and thus the whole experience be temporally extended along level C. Regardless of the manner in which the top level exhibits parthood, if the resulting top-level experience does not have experiences as proper parts we, following Lee’s (2014) terminology, refer to it as an atomic experience. On the other hand, if this experience does have experiences as proper parts, then it is called a non-atomic experience. The middle level simply indicates whether the supervenience base of the experience is itself temporally extended or instantaneous. We assume that if the supervenience base is temporally extended then it has temporal parts, which we call neural parts, even if these parts do not correspond to any experiential parts of the experience found at level A. 4 Thus different models of temporal phenomenology take different stands on the duration of, and relations among, levels A, B and C. As detailed below, we can map onto our three-tier structure various models of temporal phenomenology and see how each differs. We use this vertical characterisation to identify four main structural options: Atomic Non-Extensionalism, Atomic Extensionalism, Non-Atomic Non-Extensionalism and Non-Atomic Extensionalism.2 The top level in the diagrams is level A, the middle level is level B, and the bottom level is level C. We term the first option ‘Atomic Non-Extensionalism’, which is depicted in Fig 2. Figure 2: Atomic Non-Extensionalism Atomic non-extensionalism is the view that experiences are atomic—they have no experiential proper parts—and they are instantaneous as are their supervenience bases. On this view no atomic experience represents the world as changing, nor represents that events occur in succession. That is, no atomic experience itself provides an experience of temporal succession. Thus atomic non-extensionalism is a kind of antirealism in the following sense: it denies that atomic experiences have a certain temporal structure. That leaves the atomic non-extensionalist with two options. She can simply embrace antirealism and maintain that although it seems to us as though our experiences have a certain character, in fact this is a mistake: they do not. Alternatively, she can embrace realism and try to explain how it is that experiences, plural, have the relevant content when each individual experience lacks that content. The second option can only be considered once we move from considering a vertical characterisation to a horizontal characterisation. Note that our use of ‘extensionalism’ differs from Dainton’s use. He uses it to delineate a specific model with a temporally extended non-atomic level A, which we fit into our framework below. In contrast, we use this term to refer to a model that has a temporally extended supervenience base. 2 5 2.2 Horizontal Characterisation A horizontal characterisation takes the three levels represented in the vertical characterisation— call it a vertical slab—and asks: how can the vertical slabs be put side-by-side to create a depiction of a succession of experiences across time? There are two possible answers to that question. Either the succession of vertical slabs share parts at some level or other —they overlap—or they are disjoint—they do not overlap and simply take place in succession. Below we use atomic nonextensionalism to depict a case in which vertical slabs are disjoint. Figure 3: Disjoint Horizontal Characterisation Contrast Fig.3 with the following diagram, Fig 4, in which there is a horizontal overlap: Figure 4: Horizontal Overlap of Experiential Parts The portion in the middle represents the overlap of two temporally extended vertical slabs which overlap by having a particular instantaneous experience—Experiential Part 3, and a particular instantaneous neural part—Neural Part 3—in common. The two slabs also overlap at level C since there is some temporal instant they share—the instant at which Experiential Part 3 and Neural Part 3 exist. 6 Fig. 4 is not the only way in which there can be overlap. Two instantaneous slabs also overlap if each slab has a non-atomic experience at level A that has parts in virtue of its content and if these non-atomic experiences share experiential content. We distinguish this kind of overlap from that depicted in Fig. 4. We call this latter kind of overlap content overlap because what is in common between two instantaneous non-atomic experiences is not an experience that is part of both, but rather, there is some experiential content that features in both experiences. Content overlap is depicted in Fig. 5. There we see that although non-atomic experiences E and E* are disjoint, they nevertheless share content: each includes representations with content C2 and C3. Figure 5: Horizontal Overlap of Content In sum, we distinguish horizontal characterisations that are disjoint as per Fig. 3, experientially overlapping as per Fig. 4 or content overlapping as per Fig. 5. Let us return to atomic non-extensionalism. This model is inconsistent with any form of overlap—experiential or content—since the experience is atomic. Hence it is relatively straightforward to see how, and why, the atomic non-extensionalist might embrace antirealism. This is, indeed, the view that Dainton calls Reidian cinematic antirealism.3 Reid’s cinematic antirealist accepts that it is a mistake to suppose that change, persistence and succession feature in our experience. Instantaneous atomic experiences cannot furnish us with experiences as of temporal properties. Instead, according to Reid, we mistakenly come to believe that we have experiences of temporal properties. Reid’s particular way of explaining this is by recourse to memory—we remember earlier experiences and erroneously come to believe we have nonatomic experiences—although one could in principle appeal to other cognitive mechanisms to do so. Other antirealist examples of this mapping are the Humean version of Chuard’s (2011) temporal perceptual atomism and Watzl’s (2013) simple cinematic view. 3 7 Some forms of this position are versions of what Dainton identifies as cinematic antirealism.4 Unlike Reid’s cinematic antirealist these cinematic antirealists seek out mechanisms that may give some account as to why we seem to perceive temporal properties. For instance Crick and Koch (2003) claim that an instantaneous experience has a vector-like feature that suggests that there is movement when there is none. The atomic non-extensionalist realist, on the other hand, has only one option: she must explain temporal phenomenology in terms of a sequence of non-overlapping vertical slabs, no one of which is an experience with temporal structure. An example of such a view is what Dainton dubs ‘the moving beam model’.5 On this view one has experience as of change and succession across atomic experiences due to the continual advance of one’s punctual awareness.6 2.3 Atomic Extensionalism, Non-Atomic Non-Extensionalism and Non-Atomic Extensionalism We are now well placed to consider further models of temporal phenomenology. The second of these is depicted below in Fig. 6. Another form is an antirealist version of retentionalism. Assuming they have non-extended supervenience bases, examples of this form are Kelly’s (2005a; 2005b) retentionalism and antirealist versions of the following: Chaurd’s (2011) Husserlian temporal perceptual atomism, Watzl’s (2013) retentional view, a version of Lee’s (2014) atomistic view and Phillips’ (2010) memory theory. 4 Another example of the realist version of this mapping is the top left model depicted in Grush (2007) with a punctuate supervenience base. It is also possible that a version of this falls under Lee’s (forthcoming) ‘atomistic views’. Although he doesn’t give a cinematic example, his characterization allows for this possibility. 5 Another example of the realist version of this mapping is the top left model depicted in Grush (2007) with a punctuate supervenience base. It is also possible that a version of this falls under Lee’s (forthcoming) ‘atomistic views’. Although he doesn’t give a cinematic example, his characterization allows for this possibility: they have a resulting experience that doesn’t have a C level temporal structure, yet may (or may not) have a contentderived temporal structure, and has a supervenience base that may or (may not) have temporal structure. 6 For this view to be classified as atomic non-extensionalism, however, the motion of the beam of awareness is not to be considered part of the model. Rather, the moving beam is only invoked to provide temporal relations among such momentary experiences. 4 8 Figure 6: Atomic Extensionalism Fig. 6 differs from Fig. 2 in only one respect: the atomic experience’s supervenience base is temporally extended. We call this view ‘atomic extensionalism’. Examples of this view are rare: there is only a single realist version suggested by a formulation of Lee’s (2014) atomistic view. Although it’s possible that an antirealist version of Lee’s model may be developed we only sketch the realist version here. Within our framework Lee’s temporal atomism can be characterized as follows. Lee argues that all supervenience bases have temporal structure that corresponds to the physical correlates of consciousness. He argues that even instantaneous experiences are underpinned by temporally extended physical processes. If Lee’s conclusion is correct, then level B spans a temporal interval. Additionally, Lee’s temporal atomism allows for the possibility that the resultant experience itself does not have any experiential parts. Thus a version of temporal atomism could be developed such that it exemplifies atomic extensionalism. Notice that unlike atomic non-extensionalism, atomic extensionalism may be developed as either a disjoint or overlapping view. Although at level A the experience itself is atomic, the supervenience base at level B will have temporal structure. Thus a realist version of atomic extensionalism may involve the overlap of the temporal parts of each of their supervenience bases. That brings us to our third broad category of view: non-atomic non-extensionalism. 9 Figure 7: Non-Atomic Non-Extensionalism Fig. 7 differs from Fig. 2 and Fig. 6 in that the top level depicts an experience that has experiences as proper parts. But, as with Fig. 1, the bottom box indicates that the supervenience base of that experience is instantaneous. Plausibly, non-atomic non-extensionalist views embrace the specious present. For our purposes, the specious present is the doctrine that we have an apparently temporally extended experience at an instant of time. 7 A notable example of non-atomic non-extensional realism is Dainton’s realist retentionalism.8 According to retentionalism one’s experience has experiential parts and temporal structure despite being instantaneous: each experience represents not just a single moment, but also re-represents the experiences of previous moments. The resulting experience has a temporal structure in virtue of its content. If there is any overlap between sequences of such experiences, then it is content overlap, not experiential overlap. Additionally, a model that has a non-atomic level A posits experiences whose contents are structured so that they represent temporal relations even if the experiential parts of that experience do not themselves stand in those temporal relations. Thus we assume that such models, i.e., those falling under this and the final schema, will be amenable to the realist, but not the anti-realist. Finally, our fourth category is non-atomic extensionalism. 7 For further discussion as to the nature and status of the specious present, see, e.g., Le Poidevin (2007, Ch5) and (2009), Dainton (2010), Kelly (2005a; 2005b), Chuard (2012), Power (2012). Following, e.g., Le Poidevin (2007, 81-2) and Dainton (2010) who both criticise reject Kelly’s and Chuard’s usage of this terminology as referring to a particular model, we assume that the specious present is simply the doctrine defined above and, according to one’s stance, may or may not need to be account for by one’s model. 8 Other examples of the realist version of this mapping are the content version of Chuard’s (2011) extensional model (AKA ‘the specious present view’), Watzl’s (2013) specious present view, a version of Lee’s (2014) atomistic view, Phillips’ (2010) retentionalist version of specious present theory and his memory theory and, depending on the status of the B level, the bottom left model depicted in Grush (2007). 10 Figure 8: Non-Atomic Extensionalism Fig. 8 differs from Fig. 7 only in that level C depicts a temporal interval rather than a temporal instant. Thus non-atomic extensionalism holds that each supervenience base is itself temporally extended and that our experiences are composed of further experiences. A notable example of non-atomic extensional realism is Dainton’s extensionalism.9 This account posits that experiential acts are temporally extended, rather than being instantaneous. Dainton assumes that these acts are of about 500ms in length. In turn, one’s resulting experience itself has a temporal structure; the experiences that compose such an experience occur over a duration and feature succession and ordering relations. Although a non-atomic extensionalist could embrace a non-overlapping characterisation at the horizontal level, e.g., that of Sprigge (1983), extant versions of the view typically do not. Dainton’s extensionalism, for instance, involves experiential overlap between extended non-atomic experiences. This concludes our taxonomy of existing models of temporal experience. With this framework in hand we are now in a better position to assess the ways in which empirical findings may impact existent models and offer a means of developing other models. 3 The Levels and Methodology Lee (2014) is a notable exception to the general rule that there is little discussion of methodology in the literature of temporal phenomenology. However, given the roles that empirical findings may play, we think it important to take a step back and examine how we should go about analysing and developing positions in this debate. Other examples of the realist version of this mapping are Lee’s (2014) experiential process view, and, if they have extended supervenience bases, Kelly’s (2005a; 2005b) specious present theory, Chuard’s (2011) structural version of the extensional model, a version of Watzl’s specious present view, the top right and bottom right models depicted in Grush (2007) and the version of Phillips’ (2010) Foster/Dainton specious present theory. 9 11 To do so, we first discuss the methodology that Lee advocates and examine his characterization of the current shared methodology he wishes to purge. After a caveat concerning how these methods relate to that which is usually practiced, we suggest a third methodological option. Our proposed method slots between the bottom-up approach of Lee and the largely top-down approach that Lee claims is practiced. We argue that although we should more systematically incorporate empirical claims, we should not completely abandon the classic models of the top-down approach. Then using two empirical cases we argue that this third option can better incorporate empirical findings than that presupposed in much of the literature. Finally we make recourse to the levels above to illustrate where empirical findings and armchair analysis are best applied. 3.1 Existing Methodological Options Although Lee (2014, 2) does not discuss methodological issues in detail, he characterizes his preferred method and contrasts it with one he takes to be assumed in the literature: My view is that the most powerful considerations in this area have to do with the ways in which temporal information is processed in the brain, so that ultimately what is at stake depends on empirical considerations of a quite general kind. My methodology involves linking together claims about how temporal information is neurally coded and processed with claims about how experience itself is temporally structured, a methodology which requires assumptions about how the timing of neural and experiential events are connected [...]. It is worth noting at the offset that because I adopt this “bottom-up” methodology, my approach contrasts quite strongly with certain other authors such as Dainton (2000) who argues for views in this area more on the basis of phenomenological than empirical considerations. Here Lee contrasts his bottom-up methodology, which involves drawing more from empirical considerations, with a ‘Daintonian’ methodology, which draws more from phenomenological considerations. For the sake of convenience, we term the Daintonian methodology the ‘classic methodology’ and the models that are associated with it, e.g., retentionalism, extensionalism, and cinematic, ‘classic models’. Before further spelling out the contrast, note that Lee’s (2014, 2-3) method motivates him to reject classic models on the grounds that they do not capture distinctions that he identifies as fundamental to the debate. Thus we add this feature to the bottom-up package: classic models may be expunged and replaced by alternative models pending empirical findings and distinctions. 12 To get a better grip on the methodological contrast, let’s consider the models that correspond to Dainton’s extensionalism and a Lee-inspired form of non-atomic extensionalism in terms of our levels. Even though Lee does not explicitly advocate such a model, we consider it here in order to compare two forms of non-atomic extensionalism and, thus, to highlight the relevant methodological distinctions. Recall that non-atomic extensionalism’s A level involves a temporally extended experience of, according to Dainton, about 500ms in length. One’s experience has a temporal structure since the experiences that compose it occur over a duration and feature succession and ordering relations. In good conditions, e.g., conditions under which one is not hallucinating or experiencing an illusion, such structure is assumed to mirror that of the actual temporal structure of experienced events, i.e., the temporal structure of events at C level. Moreover, as we have seen, Dainton’s version of non-atomic extensionalism embraces horizontal experiential overlap. Thus, he claims, we achieve a resulting non-atomic continuous experience. Hypotheses about the content and structure of an experience, about the function of its supervenience base and of the relation between contiguous experiences, arise, on Dainton’s view, largely as a matter of introspection and a priori reasoning. For example, he (2000, 171, 236) holds that non-atomic experiences are of about 500ms in length either on the basis of introspection or as a primitive assumption. Moreover, partially as a means of responding to the problem of accounting for apparently continuous experience that lasts longer than 500ms, Dainton claims that the acts overlap. In turn, the content and structure that we attribute to experiences at level A is supplied by introspection. If we only consider these aspects of Dainton’s approach then his methodology is clearly top-down in that it is largely constructed without reference to empirical considerations. Further, Dainton assumes that we can read off the temporal structure of one level—level A—from that of another—the temporal structure of events at level C. Dainton is, therefore, largely silent as to the structure of the supervenience base. The base need only function in a manner such that one’s temporal experience generally mirrors that of the events experienced in the world. While, given a classic methodology, the exact details of the nature of the supervenience base can remain open, it seems clear that if the experience at level A is to mirror the structure of events at level C, then that is highly suggestive regarding some features of the supervenience base. Namely, one would expect that each of the experiential parts of a non-atomic experience, E, at level A, has a unique supervenience base that is itself a proper temporal part (a neural part) of the supervenience base of E. That is, one would expect a one-to-one mapping of E’s experiential parts onto the (possibly extended) proper temporal parts of E’s supervenience base. 13 One expects this because if the temporal relations that obtain between the experiential parts of E are to mirror the temporal relations between the events at level C then it is natural to suppose that a sequence of events corresponds to a sequence of brain states, such that each brain state is a temporal part of the supervenience base of E. And it is in virtue of the order in which those brain states occur that each of the experiential parts is temporally related to the others in the manner it is. Thus we have a 1:1:1 mapping between an event, at level C, a temporal part of a supervenience base, at level B, and an experiential part, at level A. Thus although Dainton’s methodology is perhaps not entirely top-down, it is nevertheless based on considerations that hold fixed a target—our temporal phenomenology, which it is taken that we have access to through introspection—combined with a priori reasoning about the role of brain processes in giving rise to that phenomenology. That methodology, however, is inconsistent with the Lee-inspired non-atomic extensionalism discussed. On Lee’s view the structure of experience need not match the structure of the supervenience base. Rather, the methodology that sits most naturally10 with his view is one according to which what is important is the supervenience base: it includes the correlates of consciousness as a temporally extended physical process. The supervenience base gives rise to an experience—but it is an empirical matter what structure that experience has. Thus although Lee’s methodology is consistent with us discovering that there is a nonatomic experience, E, composed of experiential parts, and discovering that these parts neatly map onto the proper temporal parts of E’s supervenience base, it is equally compatible with us discovering neither of these things. It could be, for instance, that although there is, at level A, a non-atomic extended experience, E, composed of experiential parts, these parts do not map cleanly onto the proper temporal parts of E’s supervenience base. That will be the case if the supervenience base, S, of E, holistically determines the features of E, but does not do so in such a way that there are proper experiential parts of E which supervene on proper temporal parts of S. Or it will be the case if the temporal parts of S match up with the experiential parts of E, but not in a clear 1:1 manner that preserves the ordering of those parts across time. This methodology also leaves open the possibility that at level A there is no non-atomic experience His approach, however, is more complicated than characterized here. For example, he assumes a central principle that relates the B level and A level. This is what he terms the Temporal Identity Principle: Experiences have the same timing as their realizers (2014, 3). However, he uses empirical illusions, experiments and the like in order argue against various strengths of mirroring relations amongst level C external events and level A. Further, he quickly claims that his principle is “very plausible, but won’t argue for it” in his (2014). So, although he assumes a particular principle regarding the relation between level B and level A, it’s not clear exactly what the status of this principle is, i.e., whether it has empirical support or is a mere presupposition. 10 14 that is itself composed of further experiences: whether that is so or not will be a matter for empirical investigation, determined by the structure of the supervenience base. In sum, Lee’s method relies heavily on empirical findings while the classic method relies more on phenomenological considerations. The bottom-up approach emphasises level B brain states or processes, while the classic approach focuses on armchair analysis and introspection to construct level A. These two extremes, however, suggest a third methodological option according to which one jointly utilizes the following to inform and develop a model of level A: introspection and empirical data about B level brain events and about C level external events. It is this third methodological option we aim to promote; we hold that introspection can be used as input into the modelling of the structure of level A. That is consistent with holding that data about level B ought to be appropriately incorporated into one’s model of level A and thus that empirical findings should be systematically examined. It is important to note, however, that this distinction between bottom-up and classic methodologies is not as clear cut in practice as we, following Lee, are drawing it. For example, Grush (2007) and Crick and Koch (2003) approach the modelling of temporal phenomenology largely via considerations arising from cognitive psychology. Yet Grush makes recourse to the models found in the more phenomenologically-informed literature on temporal experience in philosophy. Moreover, most philosophers contributing to this topic do inform their arguments with empirical findings, e.g., Le Poidevin (2007) refers to Gregory’s (1966) stance on the waterfall illusion and Phillips (forthcoming) discusses at length how his model may account for Eagleman and Sejnowski’s (2000) work on postdictive effects. So we do not deny that the literature is mixed in its methodological approach. Our methodological option seeks to accommodate the importance of both empirical and phenomenological considerations by illustrating how they can be mutually informative and play important roles in model development. There is, however, a division of labour to which we must be sensitive between the empirical and the introspective. The features of the model at level B are best investigated primarily via empirical investigation while, as we illustrate below, an account of Level A and of the relations amongst the three levels should be investigated using introspection and empirical investigation in a systematic fashion. Finally, the question of whether a model is realist or antirealist can, in the end, only be determined via good old fashioned armchair reasoning. We think that the issue of whether antirealism or realism is true can neither be prejudged (as does Lee, in favour of realism) nor resolved entirely by the empirical. Rather, the issue of whether antirealism is true about the structure of certain experiences depends, at least on part, on introspective evidence about the 15 apparent structure of those experiences. One can, after all, only be shown to be wrong that our experiences have a certain feature (and thus it be shown that we ought to be antirealists about such a feature) if we are, in fact, inclined to say that they have such a feature. Moreover, since antirealist views need to explain away the appearances—after first ascertaining that there are such appearances—evaluation of their position requires evaluating whether or not they offer a plausible account of our beliefs about our experiences in the absence of our experiences having the features to which we, introspectively, attribute them. So, we think, though these methodological caricatures are just that, caricatures, they provide some extremes between which we can slot a third methodological option. Contra Lee’s option, ours utilizes phenomenological considerations, and it uses classic models as at least starting points for empirical investigation and development. Contra the classic option, it actively and systematically utilizes empirical investigation to develop and critique classic models. Furthermore, our option captures the mixed methodology that is actually practiced; however, our option more systematically incorporates empirical results and provides means for further empirical investigation. Thus, we do not wish to suggest that our option is completely new and divorced from actual practice. Rather, we claim that current practice could benefit from more systematic incorporation of empirical findings, and we make clear how armchair analysis and introspective data can be supplemented and informed by such findings. 3.2 Case Studies To illustrate some failings of the second methodological option as well as, contra Lee, to show the usefulness of classic models, we present two cases from experimental psychology. The first case concerns our experience of duration. We begin by presenting a model, drawn from psychology, that attempts to account for the experience of duration. Since most classic models share features with that model, it suggests that if there is evidence against the psychological model then it is ipso facto evidence against these classic models. We agree that if recent experiments are correct then this suggests that the classic models are too crude. Nevertheless, we think that by making reference to our three levels we can show how the classic models can be informed by such studies, modified and salvaged. Thus, contra Lee, we show how classic models need not be completely jettisoned, but instead, can be modified in the light of empirical findings. Moreover, we suggest, these models offer a starting point for empirical enquiry as well as a framework into which a number of empirically-informed positions may be slotted and tested. 16 The second case involves the wagon wheel effect. In the philosophical literature on temporal experience this effect is mentioned in Crick and Koch (2003) and Lee (forthcoming, 10). Although the former presents it as supporting a particular model, Lee briefly uses it as an example to support his claim that we need to make recourse to the temporal structure of neural states, rather than to introspection, in order to discover whether experience is discretely gappy. Before outlining Lee’s brief argument for this conclusion, we look at two of the main positions in experimental psychology on this debate. In turn, we use this case to argue, contra Lee, that introspection can still play a role here. Thus, the main upshot of the first case is that classic models should and can be informed by empirical considerations. The main upshot of the second case is that introspection can play an important role in developing models of temporal phenomenology. 3.2.1 Case 1: Psychological Models of Duration Judgements As generally characterized in psychology,11 the internal clock or stopwatch model is considered central to discussions on timing. For example, Buonomano and Karmarkar (2002, 44) call it “by far the most influential model” in psychological literature on timing, and Mauk and Buonomano (2004, 314) refer to the centralized internal clock model as the “predominate working hypothesis in the psychological literature.” Generally, an internal clock model involves a neural pacemaker or oscillator ‘ticking’ at some fixed frequency. Its inputs are the beginning (the stimulus onset) and end (the stimulus offset) of the interval to be judged. The ticks are detected by a counter or accumulator; this is used to judge the duration of perceived events.12 Further, the state of the pacemaker, which Treisman calls ‘specific arousal’, may by modulated by external influences; for instance, increased arousal generated from nearly being hit by a bus increases the pacemaker rate while reduced arousal slows it. According to this model raised arousal and, thus, an increased pacemaker rate corresponds to judging an interval as longer since there would be more ticks counted, while lowered arousal and a corresponding decreased pacemaker rate induces one to judge an interval as shorter. As presented by the preceding two papers, it’s presupposed that there is one internal clock with which one estimates the durations for timing tasks of all modalities. This feature is shared by classic models, which, for the most part do not take into account differences in For an overview of this model and its role in the literature, see Buonomano and Karmarkar (2002), Mauk and Buonomano (2004), Johnston (2010) amongst others. Creelman (1962) and Treisman (1963) are standardly cited as schematizing this model. However, there are several alternative models of duration timing proposed: Grondin (2010) for some such models. 12 Although this presentation is greatly generalized, it is all that is needed for present purposes. See Treisman (1963; 1984; 1999) for more detail. Also, for discussion of this model in philosophical literature on temporal experience, see Le Poidevin (2007) and Phillips (2012). 11 17 modalities: they generally assume13 that there is a single model of temporal experience which accurately models temporal phenomenology across every modality. These models’ foil is one according to which there are several distributed regions of the brain that process time with the location of the process dependent upon the modality being judged.14 If a model is meant to account for experiences arising from all modalities it should also account for all experiences that arise from each modality. Consider, then, a visual stimulus that appears in a specific location in one’s visual field and disappears after 600ms of level C time. On the stopwatch model, level C features of external events serve as the input; it is assumed that a stimulus onset begins the relevant counting and the offset ends it. So, in the visual case, there’s something in the visual field that is perceived. The central stopwatch simply starts accumulating ticks when given this visual onset and ends at the offset. It doesn’t (or ought not) matter where the visual percept is located in one’s visual field. The classic extensionalist, retentionalist and cinematic models also may assume that under favourable conditions there is a C level external event which straightforwardly corresponds with the content and, for realist versions generally, temporal features of our experience of the event. So, if one is presented with the 600ms stimulus, one is assumed to simply have a visual experience of the stimulus and to associate some apparent duration with the experienced event. However, if recent research by Johnston et al. (2006) is right, this assumed relation between C level events and what we see is problematically simple: as explicated shortly, a duration judgement can depend on where exactly the event occurs in one’s visual field, e.g., whether it is in a specific area of the right hemifield. To make clear exactly what’s at issue here it is useful to extract another feature at play which is already highlighted by Lee (2014). Following Lee’s terminology, there is also, to some extent, the feature of metrical mirroring. If one accepts metrical mirroring then one claims that the level C ordering and duration relations between the temporal parts of some external event match those of the level A experience. Under good conditions, the stopwatch model assumes that there is metrical mirroring at least at the beginning and end of a timed event: the onset and offset of the internal stopwatch corresponds to the level C beginning and end of the event. And, as indicated above, many classic models also seem to presuppose metrical mirroring. We, however, Yet, some, e.g., Dainton (2004; 2010), do point out that they are at least aware that different modalities may generate further complexities in their models. However, seldom do they spell out how exactly such differences in modalities may be accommodated. Further, even supposing that such models could be ‘decentralized’ in this sense, Johnston’s critique of the stopwatch model, as we explicate below, affects another shared feature of these psychological and philosophical models. 14 It’s a separate question as to whether the same neurons time all intervals or whether, e.g., one set of neurons time 100ms intervals and another set time 200ms intervals; these positions are regarded as compatible with both models. In turn, what distinguishes the two models presented above is whether the model is used to time durations experienced by all modalities, or whether the neural pacemaker employed is modality-dependent. 13 18 are interested in a different feature of these cases: namely, whether one’s judgment of duration is sensitive to the location of the percept in the visual field. Stopwatch models do not take the location of a percept in this timing task to be relevant to a subject’s duration judgment: the internal clock just starts ticking regardless of the location the stimulus. The classic models, too, seem not to take into account the location of a percept. The assumption is that the location of a particular perceived in one’s visual field does not alter one’s experience as of duration. Johnston’s work, however, implies that this shared presupposition of the stopwatch and classic models may be false. In one version of Johnston’s experiment the stimulus is a drifting sine wave grating at some frequency. It is located to the left or right of a central fixation spot for 15s. After this adaption period, a drifting grating at 10Hz is shown on the adapted and nonadapted sides sequentially for some subsecond duration. The subject is then asked which of the 10Hz patterns appeared to last longer. When the adaption stimulus is 20Hz, the apparent duration of the 10Hz pattern in the adapted field is reduced. But when the adaption stimulus is 5Hz the apparent duration of the pattern in the adapted field is either slightly reduced or unaffected. In effect it seems that the apparent duration of a visual stimulus can be manipulated through adaptation such that it varies depending on where it is located in the visual field. In other words, it seems that there can be an object that appears for a specific C level time whose A level experienced duration can vary across one’s visual field. Johnston regards this as evidence against the stopwatch model for a number of reasons, one of which is that the model assumes that there is a single neural timing mechanism: “the spatially specificity of the duration effect implicates localized temporal mechanisms rather than a single neural timing mechanism” (2006, 475).15 Johnston concludes that there are spatially localized temporal mechanisms involved in judgements of duration, and the stopwatch model is unable to incorporate such mechanisms. If we assume that Johnston is correct then the classic models face problems since they share these features with the stopwatch model. Should classic models, then, be abandoned in view of such results? We think not. Clearly empirical evidence is relevant to classic models: such data can and should inform these models. But, contra Lee, classic models need not be completely jettisoned if they can be appropriately modified in light of empirical evidence. Can they be modified? In this case there is a link between the assumption that the model should account for experiences of all modalities and the model’s lack of sensitivity to a percept’s He (2006, 475) also claims to rule out the possibility that, perhaps, there’s a neural timing mechanism corresponding to each hemifield. He does so by rerunning the experiment with the 10Hz grating being in different regions of the hemifield in which the adaption occurred. The gratings that appear in regions in which the 20Hz adaptation grating did not occur do not exhibit a marked reduced apparent duration. 15 19 location. This is the presupposition highlighted above that a model that accounts for experiences of all modalities should also account for all experiences within a modality. Due to this link one can offer a response by either dropping the assumption that there is a single model that accounts for experience across and within all modalities, or by attempting to account for the experiment by making the model sensitive to location, or amending the model so that it no longer presupposes that there is a centralised stopwatch the measures time across different modalities. We will consider only the latter two options. Consider, first, the option in which the defender of the classic model jettisons the idea that there is a centralised stopwatch that “measures” time across and within all modalities. Instead, she could hold that there are many localised stopwatches, at least one for each modality, and perhaps even different stopwatches for different hemifields. The classic models presuppose that level A percepts from different sensory modalities are unified in the sense that they are integrated to form a single experience. In other words, these models assume that at level A we find unified experiences whose cross-modal features are bound together. For illustration, suppose that there are two experiences at level A. The first of a tone and a flash: these are experienced synchronically. The second experience, some moments later, is qualitatively identical. We might say, then, that there is a single, unified experience we can call TONEFLASH1, and, later, another experience we can call TONEFLASH2. Thus it seems plausible indeed that any classic model will hold that judgements about the duration between the two tones, on the one hand, and the two flashes, on the other hand, will be the same: for the temporal structure of the experiences on any classic model will have it that there is a single duration between TONEFLASH1 and TONEFLASH2. If, however, there are different stopwatches that measure the duration between the tones, on the one hand, and the flashes, on the other, then the possibility emerges that the two judgements will come apart: one might judge that the flashes are separated by duration D, and the tones by duration D*. That, in turn, would seem to be inconsistent with the idea that there is a single experience TONEFLASH1 and another, TONEFLASH2, and some determinate duration between the experiences. But, at least at this stage of investigation, there seem to be a number of options open to the defender of a classic model. She might suggest a hypothesis that is open to further investigation. Namely, they might suggest that in cases where cross-modal signals have been bound together into a single experience such as TONEFLASH1 duration judgements about the duration between the two tones and the two flashes will be the same: the binding process will override any conflicting data about duration coming in from the different stopwatches, if there is any such conflicting data. Thus, the thought would be, there might be 20 different stopwatches that generate different duration judgements. But it will never be the case that these judgements conflict where cross-modal binding has occurred because either the different duration judgements will prevent the signals from being bound together in the first place, or some further mechanism will allow the binding and thus trump the different duration judgements generated by the different stopwatches. Thus a classic model developed in this way may imply specific relations between bound unified experiences and duration judgments that give rise to testable predictions and explanations. If, however, defenders of the classic models find the above sketch to be too strong with its claim that duration judgements of such cross-modal and bound percepts never conflict, can they adopt the weaker position that subjects sometimes judge that the duration between the two tones is different to that between the two flashes? Indeed, they can. Here’s one way in which they can spell out this position. Although subjects experience TONEFLASH1 and then TONEFLASH2, there is no fact of the matter about the duration between the two experiences. When asked to attend to the tones, subjects make one set of judgements, and when asked to attend to the flashes, they make different judgements. That is, again, not something that any classic model would have predicted given that the tone and flash are experienced synchronically in TONEFLASH1 and then again in TONEFLASH2. Nevertheless, on the view we are countenancing although there are temporal relations built into the experiences at level A, it may sometimes be indeterminate the exact nature of those relations: it is determinate that TONEFLASH1 comes before TONEFLASH2, and determinate that the duration is no more than n and no less than n-, but the structure of level A does not afford a determinate duration between the experiences. In other words, they appear to lack a precise metrical relation. That, again, is an interesting finding the classic models can incorporate. Moreover, it is a testable prediction that falls out of consideration of classic models in the light of new empirical data. This discussion of the first option has been presented primarily in terms of modalities; we presented ways in which the classic models may account for our running example of auditory and visual percepts. However, the Johnston experiment indicates that there’s not just a problem accounting for a difference in experiences across modalities or across visual hemifields. It shows that in some cases the exact location of a visual percept is relevant to duration judgement. The first alternative outlined seems extendable to the locations of such visual percepts and thus offers a possible way to account for Johnston’s data. For example, one could hold that each potential location in the visual field may be associated with a stopwatch and that there is usually some sort of spatial and temporal binding that links together particular features of visual percepts. However, even assuming that the binding aspect may be coherently spelled out, this general 21 strategy seems problematic: it suffers from a potential proliferation of stopwatches—there may need to be one for every potential location of a percept in one’s visual field. Plus, the second alternative sketch requires development at the A and B levels concerning how exactly we demarcate cases in which determinate metric relations are experienced from those in which indeterminate metric relations are experienced. Although much more could be said regarding whether this proliferation is problematic and about the details of how to develop these alternatives, we neither assess this general strategy nor further develop the outlines above. Instead we only intend to show here how empirical results may impact classic models and that it’s possible to modify classic models in light of such results. Let’s turn to the other option according to which the classic models hangs onto the idea that there is a centralised stopwatch that times all inputs from every modality and is sensitive to features such as, in the case of visual signals, where the percept appears. To be sure, the fact that location sensitivity is required turns out to be an interesting empirical finding, and one not predicted by the classic models themselves. Nevertheless, that such features matter is not, in itself, inconsistent with the classic models. The defender of a classic model will, presumably, say that empirical evidence has shown that the relationship between the duration of events as they occur at level C, and as they are experienced at level A, comes apart in an unpredicted way. In turn, because the experience of duration between events at level A is not always accurate with respect to the actual duration between those events due to some function of particular features (such as the location of the percept), the classic models need to account for this difference by incorporating such features. This strategy is compatible with classic models; defenders of any classic model can point out that it has never been part of their model that experiences at level A at all times and under all conditions veridically track the events that occur at level C. Classic models have always allowed that, in principle, there could be disparities between what is experienced, at level A, and what occurs, at level C. Indeed, the defender of any classic model might well always have thought that some features of experiences would turn out to be surprising given that she thought that some aspects of experience cannot be determined entirely by introspection and a priori reasoning. It is just that she could not, in advance, know which features would in fact be surprising. A defender of classic models could provide an account in line with this second strategy as follows. In view of Johnston’s empirical findings, the second strategy requires that we suppose there to be a single stopwatch that is sensitive to the location of visual percepts. The stopwatch can be generically sensitive to such features by regarding its ticking as contextdependent, where this ‘context-dependency’ is refined and spelled out via empirical 22 considerations. In effect, the defender of a classic model can attempt to supplement his model with aspects of particular context-dependent clocks proposed in psychology. For example, Johnston (2010, 194ff) himself develops a particular content-dependent clock. The rate at which it ticks is dependent on contrast variation in the visual field. The classic model advocate could incorporate Johnston’s positive account by considering this dependency on contrast in variation to be a way in which the single clock’s ticking is context-dependent. Through such supplementation he can provide an account of the A level experience of subjects in Johnston’s experiments as well as develop level B. So while we haven’t provided the details of Johnston’s content-dependent clock here, it’s clear that it is at least prima facie compatible with classic models. Thus, we think, classic models are of use. Instead of abandoning them, they should be modified, if possible, in light of experimental data. As we argue in the context of the next case study, introspection is useful in providing an account of temporal experience. And, these models can be regarded as offering general programmes that amalgamate the results of introspection.16 3.2.2 Case 2: The Wagon Wheel Effect Lee (forthcoming) suggests that the question of whether experience is continuous or not is an empirical one and is not to be answered via introspection. In what follows we present two different views about the wagon wheel effect and examine their implications for Lee’s suggestion. The wagon wheel effect can be experienced when watching a movie that involves a stagecoach speeding up or even a commercial with a car that has spokey hubcaps. As the vehicle accelerates, its wheels appear to slow down and then rotate backwards. An explanation for this effect appeals to the sequential presentation of discrete snapshots, e.g., the intermittent light pulses of a projector. Each of these snapshots may not perfectly line up with the subsequent image. To see why, consider a particular spoke on one of its wheels wheel, and call the end of this spoke ‘A’. The first snapshot may depict this spoke as horizontal, the second snapshot as vertical, and the third horizontal. As the wheel speeds up, the spoke will occupy other positions in the sequence of snapshots. Consider the following series in which A moves 85° from its position in the previous snapshot. For an example of how classic models may offer a general programme for empirical study, see recent work in neurophenomenology. Some of it, e.g., van Gelder (1996), Valera (1996) uses cognitive science to investigate and develop a Husserlian retentionist model. For overviews of this programme, see Grush (2006) and Gallagher (2012). 16 23 Figure 9: The Wagon Wheel Effect Suppose that our wagon is moving such that the wheels turn in a clockwise direction, which is depicted by the series labelled ‘Actual Motion’ in Fig. 9. We interpret the wheel as moving counter-clockwise in this case because the displacement of the spoke in the clockwise direction is much larger than in the opposite direction. In other words, there is only a 5° difference between the position of spoke end labelled B at t2 and that of A at t1, yet there is an 85° difference between A’s positions at t1 and t2. So given the shorter displacement of the particular spokes in the counter-clockwise direction, we identify the top spoke end at t2 with A, rather than with B, and thus interpret the wheel’s motion as reversed. Of course, focusing on two snapshots at indeterminate intervals is not enough to generate this effect: a longer sequence is needed at a rapid pace. However, we hope this makes clear how such discrete spokes may be interpreted such as to have a reverse motion. See Purves et al. (1996, 3694) for a more detailed explanation. Nevertheless, as Purves et al. (1996) demonstrated, this effect can be generated without periodically presented images on a theatre’s screen or video monitor: they used an aluminium disk to generate the effect. As in the psychological literature, we refer to this effect as being generated under continuous illumination. There are two main views taken in recent psychological literature concerning how the effect is generated under continuous illumination. One stance, which is advocated by Purves et al. (1996), Andrews et al. (2005) and VanRullen et al. (2005), claims that our visual system mirrors that of a movie projector: the visual system processes sensory information in discrete snapshots. Thus, this position can appeal to the explanation of the movie-version of the wagon wheel effect in giving an account of the effect under continuous illumination. The other view is advocated by Kline et al. (2004) who hold that we process sensory information in continuous, rather than discrete, samples. To support this claim they make 24 reference to four differences, which are highlighted by Purves et al. (1996), between the theatre version of the effect and the continuous illumination version. They experimentally support three of these differences and argue that the two effects are not deeply analogous: “the two effects represent vastly different aspects of visual perception” (2004, 2654). However, in adopting this position, they must offer a different account of the continuous illumination version of the wagon wheel effect. They do so by appealing to Reichardt-based motion detectors, which, they claim, are spuriously activated: these motion detectors can signal motion in one direction even though they were stimulated by a periodic pattern with motion in the opposite direction. Thus, the continuously illuminated wagon wheel effect is reasoned to be the result of such spuriously activated detectors. We do not aim to summarize the arguments and experiments used to support these two positions. Instead, we present the two sides in this debate to make a point about the sort of methodology that needs to be used in formulating models of temporal phenomenology. In particular, we take this case to highlight the need to incorporate armchair analysis and to use empirical data systematically such that the cherry-picking of particular empirical accounts is avoided. Let’s return to Lee. In a quick paragraph Lee argues that in order to discover whether experience is discrete or continuous we need to empirically determine the temporal structure of neural states rather than search for gaps introspectively, where a gappy experience is taken to be an experience that comes in discrete bursts that are separated in time from each other.17 Lee claims that it is not clear that a gappy structure would be apparent through introspection. He reasons that to introspectively determine this, we would require some sort of higher-order monitoring of our first order experiences. And this higher-order monitoring needs to be sensitive to gaps. He conjectures that we may lack such a capacity. From this consideration, he draws this ‘moral’: “[T]o discover whether experience is discretely gappy, we need to figure out empirically what the temporal structure of neural states underwriting experience is, not search for gaps introspectively” (forthcoming, 10). Although we agree that empirical information needs to inform our modelling, we disagree that, even in this case, introspection is useless. First, there clearly appears to be some sort of phenomenal continuity to experience. And, unless one takes some sort of error theory stance on this experienced continuity, one must offer some account of it. It is only through introspection that we know that people judge that their experiences are continuous. That leaves open two possibilities: the experiences themselves really are continuous and that is why they are 17 This definition appears to parallel that of VanRullen. 25 judged to be so, or the experiences themselves are not continuous yet that the appearance as of their continuity is somehow generated. If empirical data suggests that the former is not the case, then introspection gives us reason to try and determine in virtue of what the appearance is generated. Thus Lee’s moral does not follow from his speculative claim about the possibility of higher-order monitoring. Although it offers a plausible story as to why, contra introspection, our apparently continuous experience may actually be gappy, it does not show that introspective enquiry should be abandoned in favour of empirical enquiry. At best it offers a means for antirealists about continuity to account for our apparent non-gappy experiences. Indeed, in general introspection will play an important role in making salient certain apparent features of our experience, features that should be accounted for in any model of temporal phenomenology. That said, we, along with Lee, hold that this enquiry would benefit from being empirically informed in a systematic fashion. Given that there are two main positions, one might regard Crick and Koch (2003) as cherry-picking a particular one of those positions from the psychological literature—in this case the view that experiences are discrete—in order to make their cinematic antirealism seem strongly supported by empirical evidence. However, since there is a rival empirically supported position, an extensionalist or realist retentionalist could supplement their view with the position defended by Kline et al. (2004) according to which our experiences are continuous. In either case this would involve choosing some narrow range of empirical studies and, as it were, hitching one’s philosophical wagon to those studies. We think, however, that a more systematic survey of the literature would show that both views have some empirical support. Moreover, it may point the way to either (a) further models that are consistent with both sets of empirical data or (b) further studies that will, more decisively, determine which of the models is correct. To be sure, the relative paucity of empirical data on either side of the debate should warn theorists of both stripes not to over-sell what small amounts of data there are by suggesting that it strongly supports their own particular theory. More than that, however, the relative lack of empirical data makes it difficult to see how an entirely bottom-up approach (even if this were in principle desirable, which we doubt) could in practice succeed. The question as to whether we process information in continuous or discrete samples remains unsettled even at the empirical level. Thus if we were to build models from the bottom up such models would be built on unsteady foundations: the empirical uncertainties to which we alluded, among them. That is why we suggest combining the use of classic models with empirical data, the latter informing the former, but the former providing both a framework within which to understand and evaluate existing empirical data and to by which to frame further empirical research. . 26 3.3 Implications for a Viable Methodology The preceding discussions illustrate the inadequacies of the entirely top-down and bottom-up approaches. The top-down approach primarily uses introspection and armchair analysis to develop and critique its classic models. However, in view of our discussion of psychological models of duration judgments, it seems that such models are problematically crude. If Johnston is right then our duration judgements depend upon where exactly something is perceived. This highlights the need to take empirical evidence into account and, if necessary, modify the model to account for such evidence. The bottom-up approach attempts to use cognitive science as its means for developing models of our experience. In effectively abandoning classic models, however, it may create a problematic gap between our phenomenal experience and some lower-level description of our experience. Moreover, as highlighted with the continuous and discrete accounts of the wagon wheel effect, certain key features at the empirical level remain unsettled. Without more stable foundations, it’s unclear whether a strictly bottom-up approach is viable. In view of these problems with the two extreme approaches, we advocate an approach that falls between these extremes. Like the bottom-up approach, we consider it important to incorporate empirical data systemically. However, this does not entail that we should abandon the classic models and the use of introspection and armchair analysis. Empirical evidence can and should inform classic models. If the implication of Johnston’s experiment is as we suggest, then classic models, if they are to remain viable, need to offer some account along one of the lines that we outline above. So this case exemplifies how empirical evidence offers a means of critiquing and developing classic models. However, as highlighted by the use of Kline’s discrete account of the effect to support a cinematic model, we must be careful to avoid cherry-picking particular empirical accounts when incorporating empirical. We propose the following methodology in terms of our schema’s levels. Features at level B are to be primarily investigated empirically. The issue of whether realism or antirealism is true should be investigated through armchair reasoning. Finally, a combination of introspection and empirical investigation should be used to investigate Level A and the relations amongst levels. However, in order to maintain the coherency of the model and to avoid cherry-picking, the investigation of level A needs to be systematic. More, of course, needs to be said about how such investigation should be carried out in a systematic fashion. In addition to suggesting that one needs to do more thorough reviews of the literature within and across sub-disciplines in psychology and related fields, we think that the 27 ways in which one might modify the classic models in response to empirical data, as suggested above in our discussion of internal clock models, provides a nice example of the methodology at work. As we saw in that case, attempts to modify any particular classic model in the light of empirical data can generate novel testable hypotheses. Thus the use of classic models in the investigation can facilitate a systematic enquiry that actively integrates empirical data; because the classic models serve as general frameworks in which empirical models and data may be slotted, they offer a source of systemization in the investigation. 4 Conclusion The three-level classificatory schema provides the means for a comprehensive cataloguing of the diverse extant models. More importantly, it provides a set of four distinct models. The mere delineation of these models makes clear where there is room for development. For example, versions of non-atomic extensionalism based on classic models could be further developed by offering more details about level B—more in the sense of not merely giving B a functional role. Additionally, with this schema we make salient a particular model, atomic extensionalism, that has not been explored in the literature. Furthermore, the schema allows us schematically to assess ways empirical data and armchair analysis may be used to examine the levels and the relations among them. In turn, we are in a better position to evaluate different methodologies used to develop models. Due to the problems with Lee’s bottom-up approach, which tries to do without introspective enquiry, and a pre-dominantly top-down approach, which is largely insensitive to empirical findings, an approach that incorporates both empirical and introspective enquires should be used. We’ve spelled out this approach above in terms of a division of labour between level B tasks, which should be undertaken using cognitive science, and level A tasks, which should be undertaken by appealing to phenomenal and empirical enquiry. 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