4 Priority Structures How Attention Organizes the Mind 1 Priorities and mental structure Attention is an activity. But which activity? This chapter provides the answer. Attending is the activity of creating, maintaining and changing a certain structure of the mind. In short: it consists in regulating priority structures. Think of your current mental life as being like a newspaper.1 Just as the newspaper contains various stories and reports, your mental life contains various mental states, events and processes. You see certain things, hear certain things, have certain feelings, thoughts and emotions. Attention, on the view being developed, is not another such element in the paper. It concerns the placement of the stories. Is something a headline or a front-page article? Or is it a story in the fine print, pushed to the back pages? Just like the newspaper is structured into front and back, so your mind is structured into what is of top priority and what is deprioritized. Priority structure is an organization of the mind. It contains states, events and processes perceptions, thoughts, and emotions as parts. Priority structure is about how a mental life is formed from its parts. I will thus defend and develop the following account of the nature of the mental activity of attending. The Priority Structure View structures. Attending consists in regulating priority To understand more precisely what the priority structure view says, consider that the last chapter has argued that attention is an internally structured activity. The priority structure view is a view about the constitutive resultant states of that activity. Priority structures are internal constituents of attending. They are not the results of attending 1 I owe this metaphor to Susanna Siegel. 68 Priority Structures to something; they are a part of what it is to attend to something (just like leg movement is an element of walking and absorption is an element of digestion). You can’t have priorities, unless you are prioritizing. And you can’t prioritize, unless you have priorities. State and activity are interdependent. Attending consists in regulating priority structures (i.e. the shape of these priority structures evolves due to psychological salience and executive control).2 The activity of attending thus is a structure of the mind in two senses. The first was the subject of the previous chapter: attending has an internal form consisting of guiding states guiding resultant states. But attention is a structure also in a second sense: its resultant states are themselves complex mental priority structures. The idea that attending consists in organizing a subject’s mind in terms of priorities is easy to get an intuitive grip on.3 Suppose that you are organizing your life around a personally important project, be it the writing of a book, making your love life work, or caring for your children. In a situation like this you will view everything in terms of its relation to that project. Everything in your life now either points to that project, or – by contrast – has only minimal significance for you. Significance or insignificance for you will be measured in terms of significance or insignificance with respect to that project. In such a case this project occupies your attention. For a project to occupy your attention just is to organize one’s life around it: it is a certain form of mental management. It is to prioritize to some things over others, to view what is not of highest priority in its relation to what is important, or to deprioritize it completely. According to the priority structure view every form of attention consists in organizing some aspects of one’s mental life. Perceptual attention, for example, organizes the subject’s perceptual states, attention to one’s bodily sensations organizes the field of sensations, and intellectual attention organizes one’s trains of thought. The priority structure view is also consistent with what empirical psychology and neuroscience aims to study when it studies attention: John Serences and Sabine Kastner, in a recent review, for example, write: The ability to prioritize relevant stimuli is generally referred to as selective attention, where the prefix selective is intentionally used to 2 The view that attention is a subject level form of prioritizing is also developed by Carolyn Dicey-Jennings (2012). I have learned much from her work on attention. Especially the notion of subject-level prioritizing has been much influenced by DiceyJenning’s work. I also owe it to her work that the best way to think of the way attention organizes the mind is in terms of the notion of priority. The way I develop the view, though, is largely independent of Dicey-Jenning’s. 3 Not in the least, because dictionary definitions of “priority” often make reference to attention: According to the Longman Dictionary of Contemporary English “Priority” is “1. the thing that you think is most important and that needs attention before anything else” and “2. the right to be given attention first and before other people or things.” (http://www.ldoceonline.com/dictionary/priority_1) According to Miriam Webster “priority” (among other things) is defined as “something given or meriting attention before competing alternatives” (http://www.merriam-webster.com/dictionary/priority). Why the priority structure view? 69 distinguish the term from changes in general arousal or states of consciousness.4 Attention thus in its empirical study is often taken to be relative prioritization, and sub-subject attentional processing understood as what prioritizes aspects of information processing. In the course of this chapter I will argue for a subject level version of the priority structure view and show how it can be made precise. Here is how I will proceed. First, I will provide more motivation for the priority structure view. Second, I will tell you what priority structures are. They consist in a certain organization of mental states by a priority ordering. Third, I will show how exactly those priority structures are related to attention. By using the notion of a priority structure we can define what it is to be an object of the subject’s attention, what different manners of attention consist in, and what it is for a pain or playing basketball to occupy the subject’s attention. Certain questions about priority structures are postponed until the next chapter. There I will say more about how to interpret priority structures: what is the nature of the priority ordering, and what is the nature of what is priority ordered? And I will consider the functional role of priority structures: why do organisms have priority structures? I will argue that priority structures play an important role for complex agency (identified through what I will call behavioral decoupling). 2 Why the priority structure view? According to the priority structure view attention organizes a subject’s mental life so that some of its aspects are prioritized relative to others. What motivates the priority structure view? Firstly, the view has unificatory power. As this chapter will show, the priority structure view can explain both why there are so many different varieties of attention, and what they have in common. As we have seen, attention comes in many forms (intellectual attention, perceptual attention, emotional attention, overt attention, covert attention, attentive basketball playing, …). According to the priority structure view this is because many different priority structures can be build from the same components. If a thought is prioritized we have intellectual attention, if it is a seeing we have visual attention, and if it is the various states and processes involved in basketball playing then playing basketball occupies our subject’s attention. The varieties of attention simply correspond to different priority structures, all organized after the same principles.5 4 Serences and Kastner 2014. By contrast, if one tried to explain what it is to visually attend to some object, for example, by appeal to the amount of detail about that object that is visually represented (see Stazicker 2011), it would be hard to see what this phenomenon has in common with attending to something by thinking about someone or being angry at her (where no details need to be represented). 5 70 Priority Structures Secondly, and relatedly, there is a feature of attention that is both easily overlooked, and arguably central to the explanation of why it has been difficult to develop a theory of attention. This feature is the dependent character of attention. Consider that a subject can think about an object without, for example, seeing the object. And she can see the object without hearing it. And so on. But a subject cannot just focus her attention on some object. In order to focus her attention on some material object, for example, the subject must either perceive that object, have thoughts about that object, feel emotions directed at that object, etc. Attention, as William James puts it, “creates no idea”.6 The following dependency claim thus is highly plausibly: Dependency Necessarily, if subject s attends to o, then there is some intentional mental state M that is intentionally directed at o such that s is in M and M is distinct from attending to o. In that sense, attention depends on other aspects of mentality. At the same time, seeing some object and visually attending to it, as we have seen in Chapter 2, are not identical. Seeing an object is a passive state, while visually attending to that object is a (potentially intentional) activity. The fact that the subject attends to certain objects therefore cannot just the fact that she is in that other mental state M that is directed at or about that object. Dependency cries out for explanation (we should accept the necessity involved in dependency as brute). In general, if it is impossible to have property F without having property G, then there are two plausible explanations.7 First, having F is a way or manner of having G. For example, it is impossible for anything to be crimson without it being red, because being crimson is a way of being red (in this case, the relationship is one of determination and determinable). So, if attending to something were a way of seeing that thing or thinking about that thing, then that would explain dependency. But visually attending to something cannot be a way of seeing that thing because seeing is a passive state and attending is an activity. A specific way for a state to obtain is always also a state. The second plausible explanation for why it is impossible to have F without having G is that having G is a part of having F. If it is impossible to play Autumn Leaves on the saxophone without moving your fingers, then that is because moving your fingers is part of what it is to play that song. On this second model, the explanation of dependency thus would consist in the fact that the mental states on which attention depends are parts of what it is to attend to something. And this is exactly the explanation provided by the priority structure view: dependency results from the fact in order for there to be attention there must always be a mental life that is getting structured. No structure without something that is structured (the mental states on which attention depends are parts of the priority structures that constitute attention).8 6 James 1890 [1981], p. 450. Quoted also in Strawson 2003, p. 232. We are unproblematically presupposing that the relevant facts are contingent. 8 By contrast, it is unclear how, for example, the selection for action view recently proposed by Wayne Wu (2014) can explain dependency: why should a subject not be able to just select a material object as the target for action? See the next chapter, p. 121 ff for more discussion. 7 Priority structures: the basics 71 Thirdly, the priority structure the view has a natural explanation of the fact that attention is often distributed. A subject can focus her attention on something more or less. Something can receive more or less priority. Cases where attention is narrowly directed at a specific object, property, or location in space are treated as a special case, a specific distribution of attention. Narrow focus corresponds to what I will call spiky priority structures where there is a single priority and everything else gets equally deprioritized. Diffuse attention, by contrast, is characterized by less spiky priority structures. Finally, as I will argue in detail in the second half of the next chapter (p. 106 ff), the priority structure view provides the best account of the functional role of attention. As I will there argue, that role consists in organizing the mind so as to allow for flexible action. This function, I argue, is best articulated by the priority structure view. 3 Priority structures: the basics So, what are priority structures? Let us begin with an overview. In order to pick out a certain structure we need to do two things.9 Pick out the elements of the structure, and pick out the structuring relation that connects these elements. For example, consider a stack of books. The stack of books is a structure made of books, which are related to each other by being put on top of one another. So, we can identify a stacking structure as follows. Type of Structure: Stack of books Structure Elements: books Structuring relation: being on top of Consider also our newspaper. Here the elements of the structure are the various articles, reports and stories. The structuring relation (to simplify) consists in placement, which story is better placed than which other one. So we have the newspaper structure. Type of Structure: Newspaper • Structure Elements: articles, reports, stories • Structuring relation: relative placement Priority structures can also be described by identifying the elements of the structure and the relevant structuring relation. We need to fill out the following form: Type of Structure: Priority Structure 9 See Koslicki (2008) for an illuminating discussion of the general notion of structure. Her account has strongly influenced how I have come to develop the priority structure view. 72 • • Priority Structures Structure Elements: Structuring relation: ___ ___ Let us start with a simple example. Suppose that our subject is listening to a Jazz band. Her attention is focused on the sound of the saxophone. She also hears the drums and the piano.10 But those are not what she is attending to. Consider the elements of our subject’s priority structure. What is prioritized over what? One natural answer might be: the sound of the saxophone gets prioritized over the sound of the drums and the sound of the piano. On this way of thinking the elements of the priority structure would be certain events in the subject’s environment. This type of answer is also natural in the case of visual attention. When our subject is visually attending to a red spot on the wall, one may say that the spot is prioritized over the wall. A certain object in her environment is prioritized over other objects. But in other cases, this worldly elements view is not so natural. Consider the subject who prioritizes some projects over others. In this case, what is prioritized is one of the subject’s activities, not a worldly element. Or consider the subject whose attention is occupied by a lingering headache. It is hard to think of any worldly element that is getting prioritized. Further, even in the perceptual cases, the worldly elements view has disadvantages. Something in the subject’s priorities changes when she goes from visually attending to the spot to tactily attending to it (by feeling it). But on the worldly elements view this difference cannot be captured. We also cannot capture the difference between attending to the sound by listening to it, and attending to it by thinking about it. The worldly elements view thus suffers from lack of generality and lack of fineness of grain. These considerations favor a psychological elements view. The structure elements of priority structures are parts of the subject’s mental life and not part of the world around her. What is prioritized is the subject’s hearing of the saxophone, or her seeing of the red spot. Now we can capture the difference between listening to the sound and thinking about it. In the first case a hearing gets prioritized, in the second a thought. Similarly, for a difference between prioritizing a seeing and prioritizing a touching of the red spot. The psychological elements view has an easy time capturing the headaches and projects as well. A headache is a mental state that may receive priority (even if nothing in particular is the object of the subject’s attention). And a project, like bringing up one’s children or writing a book, is a subject’s activity that can be her priority. For these reasons I will, in what follows, assume the psychological elements view. We will see that it can easily capture what makes the worldly elements view attractive, i.e. that our attention normally is directed at objects and events in the world around us.11 On the psychological elements view external items such as material objects, sounds and thing in the subject’s visual field thus are 10 For now I will play fast and loose with the exact objects of our subject’s attention (sounds vs. instruments etc.). This issue will, hopefully, be clarified in Sec. 5 below. 11 See Sec. 5 below. Priority structures: the basics 73 prioritized only qua items that the subject is hearing or seeing. As long as we remember this interpretation to speak of worldly objects of priority is innocent and convenient (and I will sometimes speak like that). Since there is, as we have already seen, much variety in the parts of a subject’s psychological life that can enter into her priority structures, I will just call them psychological parts. Are there any restrictions on which aspects of a subject’s current mental life can become elements of a priority structure? The priority structure view is compatible with a variety of restrictions. Someone attracted to the view that all forms of attention are forms of attending to something, for example, may impose that all psychological parts are intentional states.12 Someone attracted to the idea that attention always involves being presented with something and never a striving toward, desiring or intending of something, may impose that all psychological parts have a world-to-mind direction of fit. I do not think that such restrictions are plausible. A subject’s attention might be occupied by a – arguably non-intentional – headache or by a longing for rest or an urge to have a cigarette.13 Yet, I do believe that there is one important restriction on the kinds of states that are the elements of priority structures. Only categorical or occurrent mental states, events or processes can be such elements. We have as possible psychological parts: perceptual states (seeing, hearing, feeling, touching, etc.), experiences and their parts, emotions, thoughts, urges, bodily sensations, aspects of moods, etc. But we don’t have dispositional beliefs and desires. If one accepted a dispositional account of belief, and distinguishes beliefs from their manifestations, e.g. occurrent thoughts, then beliefs are never psychological parts of priority structures. Occurrent thoughts, by contrast, are parts of priority structures. Priority structures thus partition what is currently going on with the subject. They don’t partition, as it were, her setup, the way she is disposed to act, think, perceive and feel. So, we have filled out the first part of the form. The structure elements of priority structures are psychological parts. What then is the second component of priority structures, the structuring relation? So far, I have spoken of one psychological part being prioritized over another psychological part. The subject’s hearing the saxophone is prioritized over her hearing the piano and her hearing the drums. This notion, prioritizing some thing over another, does not allow for ties in priority. But it seems that there often are such ties. What gets more priority, the drums or the piano? Spending time with your children or writing the book? In some cases, it seems that at a certain time some mental states or activities may be of (roughly) equal priority. Priority structures in this sense seem different from stacks of books where it isn’t possible to have two distinct books at the same level (arguably newspaper placements structures are more like priority structures here: maybe being on the fifth and the sixth page are equally good placements). The prioritizing-over relation cannot capture such ties, since it is 12 13 See Secs. 5 and 6 below for more discussion. See Sec. 6 for how the priority structure view treats such cases. 74 Priority Structures asymmetric (like being on top of). In this respect prioritizing one thing over another is like strictly preferring ice cream over broccoli (you can’t at the same time also strictly prefer broccoli over ice cream). We should thus move to a slightly different relation. To allow for ties, we should take as our basic structuring relation a relation that resembles what, in decision theory and economics, is often called weak preference:14 a subject weakly prefers ice cream to broccoli, if she likes ice cream as least as much as broccoli (maybe she likes it more, maybe just the same). It is easy to transfer this idea to priority structures. If there is a tie between hearing the piano and hearing the drums, then each has at least as much priority as the other. By contrast, while hearing the saxophone also has at least as much priority as the hearing the piano, hearing the piano does not have at least as much priority as hearing the saxophone. I will call the relation that allows for ties weak priority. Hearing the piano is weakly prioritized to hearing the drums, if either the subject gives the piano and drums equal priority or if the piano is prioritized over the drums. What exactly is weak priority? Through our folk-psychological matrix we understand much about it. Part of that grip, as I will argue in Chapters 8 and 9, consists in the fact that we are acquainted with the reflection of priority in our conscious experience, as a kind of prominence or centrality in consciousness (though I suggest that we need not identify priority with that phenomenal reflection). In the next chapter, I will consider the interpretation of weak priority more. In the end, I defend a form of primitivism about the structuring relation of priority structures. There is no reductive identification of that relation, though each of its instances is reductively explained. That weak priority is a good primitive will have to be partially shown by the use to which we can put it. My goal for the rest of this chapter will be to show that given that we have the one primitive notion of weak priority, we can provide accounts of what it is to focus attention on something, what it is to distribute one’s attention, what it is for some activity to occupy one’s attention, what different ways of attending to something are, as well as much more. Now we have – at least preliminarily – filled out also the second part of the form for priority structures. The structuring relation of priority structures is weak priority. Overall, then, priority structures can be identified as follows. Type of Structure: Priority Structure • Structure Elements: • Structuring relation: psychological parts (mental states, events or processes, or parts of those) weak priority (… has at least as much priority as …) Priority structures contain as their structure elements only parts of a subject’s actual current mental life. The priority structures order what is currently in the subject’s mind. But what about what isn’t in the subject’s mind but could have been? What she 14 See Hansson and Grüne-Yanoff 2012. Priority structures: the basics 75 could have seen, but didn’t see. Thoughts she could have had, but did not have. Compare the newspaper structure. Part of the placement structure, and an important one at that, surely concerns which stories are placed in the newspaper at all. Similarly, one important aspect of a subject’s attentional priority state concerns not just the priority ordering within a priority system, but also what is and what is not included. Think of our Jazz loving subject. While she was listening to the band, she did not hear at all what her friend sitting next to her told her (let’s assume that she really did not hear it). Hearing her friend is just not part of her (auditory) priority system. Part of maintaining her current priority structure consists in keeping out hearing those other things. But we do not need to add anything to capture the exclusionary aspect of attention. Each priority structure already contains the information about what is and what is not included in the subject’s current mental life. For the moment neglect the structuring relation, and just think of a priority structure as a set of psychological parts. We can think of that set as a partioning of the space of potential psychological parts or mental states, into those that the subject actually has and those that she does not have (just like the set of all of a subject’s beliefs, i.e. every proposition she believes, partitions the space of possible beliefs into those the subject has and those she doesn’t have, i.e. propositions believed and those not believed). Two priority structures can differ simply in that one contains an element that the other does not contain (just like two stacks of books may differ in that one contains a certain book that the other does not contain). So, by being given a certain priority structure, we already know what is excluded from it. To view attention in terms of priority structures is to say more than that attention keeps certain things on and certain things off the subject’s mind. There is prioritization also within what is on her mind. There is then a limited analogy between priority structures and degrees of belief or credences. According to some theorists, a subject’s total belief state is not fully captured by which propositions she believes and which she doesn’t believe. Among those she does believe, she believes some more and some less. We can think of these degrees of belief as ordering the subject’s belief states (s believes that p, s believes that q, etc.) with a probability function that maps them unto a real number in the interval [0, 1]. Priority structures also order mental states. And so there is more to a subject’s priority structure state than what is and what is not included. Yet, there are limits to this analogy: first, given that priority structures can contain different types of psychological parts (thoughts, hearing, seeing, headaches, …), a description of a priority structures in terms of its worldly elements is not equivalent to a description in terms of psychological parts. In this respect priority structures are unlike credence structures, where the only type of mental state is belief and hence a description in terms of a structure of belief states and a structure of propositions is equivalent. Second, credence structures are structures of (mostly) dispositional states. Priority structures, by contrast, are structures of categorical, non-dispositional states. For that reason, priority structures are much smaller than credence structures. Arguably, there is hardly any proposition ordinary subjects have no (non-zero) credence towards. But there are many potential mental states, events and processes that are not within an ordinary subject’s priority structures. Third, while credence structures order beliefs on 76 Priority Structures an interval scale (hence we can assign degrees), (most) priority structures, arguably, are much weaker: the weak priority relation only gives us a weak partial ordering, and no interval scale. 4 Priority systems After having identified the basic components of priority structures – psychological parts and the weak priority relation – we can build structures out of them, and we can define various terms that are helpful for describing those structures. As we will see in the next sections, part of the usefulness of these definitions and the characterization of these structures consists in the fact that they will make it easy to describe the various ways a subject’s attention may be deployed. In order to efficiently describe the various structures we are interested in, let us use some shorthand notation. Let us use variables x1 … xN to pick out psychological parts. And I will write the weak priority relations as follows. Weak Priority x1 ≥ x2 =Def x1 has at least as much priority as x2 Note that this is, of course, not a reductive definition. The term “priority” appears on the right hand side. Someone who does not understand what relative priority is thus will not understand the definition. I introduce the relation ‘≥’ like one might introduce ‘p&q’ by saying that ‘p&q’ holds just if ‘p’ holds and ‘q’ holds. No one will understand this unless they already understand what ‘and’ means. ‘… ≥ …’ is nothing but a short way of writing ‘ …. has at least as much priority as …’ With the help of weak priority, it is now easy to define a notion of equal priority, as follows. Equal Priority x1 is of equal priority as x2 =Def x1 ≥ x2 & x2 ≥ x1 i.e. the two psychological parts are both of at least as much priority as the other. (I will use ‘x1 ~x2’ as a shorthand for ‘x1 is of equal priority as x2’). Of course, every psychological part is of equal priority as it self. But, as we have seen, it is also plausible that sometimes two distinct psychological parts are of equal priority. When our subject is listening to the Jazz piece, hearing the piano and hearing the drums, for example, might be of equal priority. We can also define what it is for some psychological part to be strictly prioritized over another part. Strict Priority x1 is (strictly) prioritized over x2 =Def x1 ≥ x2 & not (x2 ≥ x1) i.e. one psychological part is of at least as much priority as the other, while the second is not of as least as much priority. (I will use ‘x1 > x2’ as a shorthand for ‘x1 is (strictly) prioritized over x2’). Priority systems 77 The notion of strict priority, in contrast to weak priority, is anti-reflexive (no psychological part is strictly prioritized over itself). Strict priority corresponds to being prioritized over, and is the closest analogue to one book being placed on top of another. With the help of these notions we can now define complex priority structures, as well as various positions in those structures. First, we need way of saying that some collection of psychological states form a single priority structure, rather than several distinct such structures. Think of when some books form a single stack. In order to be a single stack they must all be connected by the relevant structuring relation (i.e. the top book and the bottom book are connected by various books being placed on top of each other; a book in a different stack, by contrast, has no on-top-of connection to any book in the first stack). Similarly, a single priority structure would then be a collection of psychological parts all connected to each other by priority relations. Intuitively two psychological parts are priority connected just if it is possible to walk on a path of priority relations from one part to the other without caring about direction (and where not moving counts as a limit case of walking). This intuitive idea can be made precise by using the technical notion of the equivalence closure of weak priority (that is: the reflexive, symmetric, and transitive closure of weak priority).15 Using this terminology we can thus define connection as follows. Priority Connection Some psychological parts xx are priority connected =Def all xx are related by the equivalence closure of ≥. If some psychological parts are priority connected, then they form a kind of system or structure. None of the parts are loose, all of them are connected by priority relations. We can call it a priority system. Priority System Some psychological parts xx form a priority system =Def all xx are priority connected. We can call all the psychological parts that form a priority system the psychological parts of that priority system (note that a priority system may, for example, branch so that there are some psychological parts x1 and x2 of the system where neither is weakly prioritized relative to the other. Stacks of books can be like that too: one book on the bottom, two in the next layer. Through the bottom book, the top books are connected, but neither is on top of the other). Within a priority system there are positions. These positions are in fact filled by particular psychological parts, but could be filled by different ones. Suppose, for example, that there are three psychological parts x1, x2 and x3. Suppose that x1 ≥ x2 , x2 ≥ x3 and x1 ≥ x3. Intuitively, to use the analogy of the stack of books again, in this 15 The (reflexive, symmetric, and transitive) closure of a relation R on set X is the minimal reflexive, symmetric, and transitive relation R′ on X that contains R. 78 Priority Structures priority system x1 is on top of the stack (it has highest priority), x2 is in the middle of the stack (medium priority) and x3 is on bottom of the stack (with lowest priority). The position of x1 in this specific priority system is the top location. That position (in this particular priority system) is uniquely picked out by replacing (in the usual Ramsey-sentence method) all names for the psychological parts with variables like this: The-z∃x,y (z ≥ y & z ≥ x & x ≥ y)). Such a description can be given for any of the other psychological parts as well. The position of a psychological part in a priority system is thus given by its relations to all the other psychological parts in that system. Positions in this sense need not be unique; whether they are depends on the structure of the priority system. Some positions in a priority system are especially interesting. Consider, for example, the top position, which we can define as follows. Top Priority A psychological part x1 is of top priority in an priority system S =Def not-∃x (x is a psychological part of S & x ≠ x1 & x > x1) i.e. no other psychological part of the priority system is of more priority than x1 Below, we will see that the notion of a top priority will let us define what it is for something to be the object or focus of a subject’s attention. Yet, note that while top priorities are, in this way, interesting since they mark out a distinguished top location in a priority structure, nothing about priority structures guaranties that there always is a single unique top priority.16 One simple possibility for a priority system without a unique top priority is one where priorities are split between two psychological parts in the following way (like the two top layer books mentioned above). Split Priorities Priorities are split between psychological part x1 and psychological part x2 in priority system S =Def not (x1 > x2 or x2 > x1) & ∀x( (x ≠ x1 & x ≠ x2) → (x1 > x and x2 > x)) i.e. neither psychological part of the priority system is strictly prioritized over the other, but both are strictly prioritized over all other parts of the priority system. Split priorities, as we will see, provide us with a way of talking about divided attention.17 In the case of split priorities the priority system is still structured asymmetrically. If priorities are split between two psychological parts then those psychological parts are of higher priority than all other psychological parts (some books are on the bottom, some on top). But some priority structures may be, as it were, completely flat: everything is of equal priority, or – in other words – priorities are distributed in the following way. 16 Technically, for that to be the case the relevant priority system would need to be bounded from above with respect to weak priority. 17 E.g. Müller et al. 2003, or Kawahara and Yamada 2006. Sustained division of attention, though, might require training (Jans, Peters and De Weerd 2010). Priority systems 79 Distributed Priorities A priority system S has (equally) distributed priorities =Def ∀x,y ((x is psychological part of S & y is a psychological part of S) → x ~ y) i.e. every psychological part of the priority system is of equal priority. Some forms of diffused visual attention, for example, may be characterized by the fact that priorities are distributed across all parts of the subject’s visual experience.18 Someone who thinks that attention only ever ‘selects’ potential subject level psychological parts and actualizes them in a subject’s mind would think that all priority systems have distributed priorities. This is one way in which the priority structure view can consider as a special case the view that attention is always an all or nothing affair. Another interesting type of priority system, as I mentioned above, are spiky priority systems where one element is strictly prioritized over all others, and all other elements are of equal priority (though easy to construct, I spare the reader another formal definition). To think that all priority systems are spiky would be another way of thinking of attention as all or nothing. I hope that by now the reader sees that priority systems can take many different forms. Some of them will have top priorities in them, some of them will have split priorities, in some priorities will be distributed. For large priority systems, i.e. those that have many psychological parts, the systems might take many more complex forms. For these cases arbitrary “attentional landscapes”19 can be constructed using the notion of weak priority as our primitive. If a priority system becomes large enough and if it has a simple enough structure (both, I take it, are quite vague) then we take priorities to come in rough degrees (starting from the ordering that is provided by weak priority). In the simplest case, the highest priority corresponds to the top priority in an attention system, somewhat lower priorities to intermediary positions, and lowest priorities to the lowest position. In some cases, we may be able to say how much more priority one psychological part has than another: if there are many intermediary positions between them then it is much higher in priority. What we will usually not be able to do is to put priorities on anything like an exact interval scale so that the degree of difference between two priorities is precisely defined (though see this footnote for a condition under which that would be possible in certain perceptual priority systems).20 18 See Treisman 2006. Datta and DeYoe 2009, p. 1044. 20 One might be able to draw on the von Neumann-Morgenstern representation theorem to show that in some priority systems priorities can be measured on an interval scale (see Briggs 2014 for a recent review) (there may be other routes as well). For this, we need analogues of their four axioms from which von Neumann and Morgenstern prove the representation theorem. First, we need (1) completeness. For all psychological parts in the priority system x1 and x2 either x1 ≥ x2 or x2 ≥ x1. As I mentioned, it is not clear that we have this in all cases. But arguably it is satisfied in some cases. Second, we need (2) transitivity. Again, arguably some priority systems are transitive. Third, we need (3) something that corresponds to their Independence Axiom. And fourth, we need (4) something that corresponds to their continuity axiom. The big question for (4) is whether there is anything in, for example, perception that corresponds to the probabilities that are needed to even state (4). One possibility is to draw on Bayesian models of perception, where perceptual representations will normally come with a certain probability (see Rescorla 19 80 Priority Structures 5 Attending to something Attending, according to the priority structure view, consists in regulating priority structures. As we have seen, priority structures can take many different shapes. Accordingly, there are many different forms of attention. What, then, is it to attend to something, i.e. focus, direct or pay attention to some object or item? What the subject is attending to normally is not an aspect of her mental life. It is something in her environment. She might for example attend to the sound of the saxophone, an object that she sees, or a particular color. What is of top priority, or what priorities are split between, by contrast, are psychological parts. These are aspects of the subject’s mental life. For example, an occurrent stinging pain might be of top priority at some moment. In order to move from the description of priority systems to what it is to attend to something, we need the idea that some parts of the subject’s mental life are intentionally directed at something. A subject may, for example, see a certain object, hear a certain sound, feel the surface she touches, or think about her next vacation (arguably pains are like that as well: when a subject experiences a pain in her left foot she will be in a mental state that is intentionally directed at that bodily location). Seeing, hearing, and the like are intentional states. In what follows, I will take for granted this notion of intentionality. Some hold that there is a naturalistic and reductionist account of intentionality. According to such theories intentional directedness may be fully explained in terms of causal dependencies, biological function or functional role.21 Others hold that at least some forms of intentional directedness escape a simple naturalistic reduction, though they depend on the complex ways an individual interacts with its environment.22 And some hold that at least some forms of intentionality are primitive or explained in terms of a certain phenomenal character.23 None of this matters for present purposes.24 2013 for a philosophical introduction). And arguably there is also something like perceptual confidence for conscious perceptual experience (see Morrison forthcoming). The question then will be whether these probabilities interact with priorities in the way required by (4). Priorities must interact with probabilities in just the way preferences arguably do interact with probabilities. Letting p be the probability assigned to a certain perceptual state (how perceptually confident you are that there is, say, an apple in front of you), we need that if x1 ≥ x2 ≥ x3 then there exists a p such that x2 ~ px1 + (1-p)x3. As for (3), we need priorties to be independent of adding another psychological part into the relevant attention system so that relative priorties remain the same, i.e. if x1 ≥ x2 then px1 + (1-p)x3 ≥ px2 + (1-p)x3. Before even getting to whether (3) and (4) hold, there is a big issue here whether we can find a plausible interpretation of this interaction between perceptual probabilities and priorties. I leave this for future discussions. 21 See Shea 2013 for a recent review. 22 Burge 2010. 23 See Kriegel and Horgan 2013 for a recent overview. 24 There are also, of course, famous debates concerning whether the intentional properties of a subject’s mental states supervene on the subject’s intrinsic properties or whether they in part depend on how the subject interacts or interacted with her environment. These debates about internalism and externalism about intentionality won’t matter either. Attending to something 81 Once we have a psychological part that is intentionally directed at some (external) object, property or event, we can easily define what it is for a subject to attend to something, which we might call the object of the subject’s attention. Object of Attention What it is for o to be s’s object of attention at some time t (i.e. what it is for s to attend to o at t) is for s to regulate a priority system S such that a psychological part that is intentionally directed at o is of top priority in S at t. On this view, then, something is the (intentional) object of the subject’s attention at some time, because it is the intentional object of a constitutive part of her attention. A subject, for example, is attending to a sound because she is hearing that sound, and that hearing is of top priority. Sometimes, a subject may attend to several things at once. This can happen if, for example, she has a split priority system. Our definition also allows that she is attending to several things at once, because she has several distinct priority systems (maybe she is visually attending to a red spot – her visual priority system has a seeing of the spot at top priority; at the same time she is auditorily attending to the sound of the saxophone – her auditory priority system has a hearing of that sound at top priority). Arguably, one and the same object could also – at the same time – be the object of a subject’s attention in two different ways (and, in a sense, twice over): suppose you have your fingers on a vibrating object (like a mobile phone). You may attend to the vibrations tactily and also attend to them visually. In a case like this the subject’s tactile priority system has a touching of the vibration at top priority, and the subject’s visual priority system has a seeing of the vibration at top priority. What is the nature of the objects of our attention? That depends on what our mental states are intentionally directed at. Suppose that what we hear when we hear a sound are vibration events in the sounding object. In this case, those vibration events are the objects of our Jazz lover’s attention. Suppose, by contrast, that what we hear are auditory sense data, mind-dependent objects. In that case, Jazz lovers focus their attention on sense data. According to the theory of attention presented here, what we attend to is not decided by considerations about attention. Since attention is a structure, what we attend to depends on the elements of that structure. What if there is in fact no red spot on the wall Aliyah is observing? It is a perfectly ordinary white spot, illuminated by the red light of a laser beamer. What is the object of Aliyah’s attention? It is the white spot. That is what she sees, though it looks – illusorily – red. It is seeing the spot that is prioritized. Of course, Aliyah could also attend to the color of the apparently red spot. Then it is seeing redness (the property) that is prioritized. What if Aliyah is hallucinating a dagger suspended in mid air? What is she attending to now? That depends on our view about the (intentional) objects of hallucination. Maybe her hallucinatory experience consists in awareness of an uninstantiated cluster of properties.25 If so, that is what she is in fact focusing her 25 Johnston 2004. 82 Priority Structures attention on (though she mistakenly thinks that it is a dagger). Maybe her hallucinatory experience has an empty referent and hence no intentional object.26 In that case, Aliyah is not attending to anything at all. She is still attending, since a psychological part that “aims” at having an intentional object is of top priority. But, in this case, her attending does not amount to attending to anything. The priority structure view thus entails that it is unlikely that we learn anything new about intentionality by considering attention, since insofar as attention is intentionally directed at something it simply picks up on the intentional directedness of the elements that constitute its priority structures. As I have already touched on, the present account of objects of attention implies that sometimes a subject’s attention may be engaged even though she is not attending to something. This will happen either if nothing in the relevant attention system is of top priority, or if what is of top priority is not intentionally directed at anything. The second case can happen, if there are mental states without intentional objects. We have already encountered hallucination as a potential example. Other examples, may be states that are not intentional at all. Suppose, for example, that you are nauseous. Maybe your nausea isn’t intentionally directed at anything. It may still occupy your attention and be of top priority. I take it that this is a plausible result for anyone who thinks that there are non-intentional mental states (maybe nausea is intentionally directed at something like your stomach. Someone who thinks so should thus think that if nausea occupies your attention you will attend to your stomach). The first scenario, where your attention is engaged even though you are not attending to anything because nothing is of top priority, will happen when, for example, your priorities are distributed. In this case nothing in particular will be the object of your attention. Your attention will be distributed to the various objects the psychological parts of the relevant attention system are intentionally directed at. We can define how attention may be equally distributed to various objects, properties or events in the subject’s environment by using the notion of distributed priorities. Distributed Attention What is it for a subject s’s attention to be equally distributed among some xxs is for s to regulate a priority system S composed of psychological parts that are intentionally directed at those xxs such that S has (equally) distributed priorities. In many cases (arguably most), a subject will neither completely distribute her attention, nor will there be objects of her attention. When dealing with our environment, for example, the many objects we are interacting with might all be somewhat focused, while the regions around them are somewhat less attended than they are. Indeed, there might be regions within an object that is at one of the foci of attention that are not attended (like a specific branch on the tree you are watching).27 In some cases a subject may also attend to the gist of a full visual scene,28 or a “large” 26 See Schellenberg, forthcoming. An interesting discussion of these issues can be found in Siewert 2013. 28 See Treisman 2006. 27 Ways of attending 83 object such as the night sky.29 In a case like this the subject’s attention need not be distributed over the whole scene or the whole sky: she will attend to the whole, but not to its parts. This will happen if the psychological parts that are intentionally directed at the parts of the object are less prioritized than the psychological part that is intentionally directed at the whole object. In many situations the subject’s attention will thus be engaged and she will have clearly defined (and often rapidly changing) priority structures, and yet she is not attending to anything. As Christopher Mole has emphasized, this seems exactly right.30 A dancer’s attention is highly engaged, just a basketball player’s or a reader’s attention, yet it would be difficult to say just what he is attending to. The music? His movements? None seems exactly right. When an activity like dancing, playing basketball or reading occupies the subject’s attention there will often be no object of her attention.31 6 Ways of attending When we discussed the relationship between attention and the perceptual activities, like looking at something or listening to something, I have already sketched the idea that we can think of these as different ways of attending to something (species of the activity of attending). We can also distinguish ways of attending in other regards. We may be perceptually attending to something (visually, auditorily, tactilely, or proprioceptively), or we may be intellectually attending to something such as when we think about something. Arguably there are also emotional ways of attending to something such as when you feel angry about something or at someone. We can now make this precise in terms of priority structures. Ways of attending to something can be distinguished by what is of top (or high) priority. When you are, for example, visually attending to a certain object then a visual state of seeing that object will be of top priority in a priority system. So we have. Visually attending What it is for s to visually attend to o is for s to regulate a priority system S such that a visual state intentionally directed at o is of top priority in S. A specific way of visually attending to something is overt visual attention. As we have seen in the introduction, overt visual attention consists in attending to something, not out of the corner of your eye, but by moving your eyes in the relevant direction. More precisely, we can define over visual attention as follows. 29 See Prettyman 2014 for this example and an interesting discussion of varieties of diffuse attention. Mole 2011, p. 189. 31 I will say more about what it is to have one’s attention occupied by something in Sec. 7 below. 30 84 Priority Structures Overtly visually attending What it is for s to overtly visually attend to o is for s to regulate a priority system S such that a state of foveating on o is of top priority in S. Where foveating on o is a state where one’s eyes are pointed so that o is visually represented at the fovea (roughly: the part of the eye with the highest visual resolution). Similar definitions can be given for the other perceptual forms of attention. Generally, ways of attending can thus be as finely individuated as we individuate ways of being intentionally directed at some object. Now consider intellectual attention. When a subject is intellectually attending to something, then a state of thinking about that thing will be of top priority in a priority system. So we have. Intellectually attending What it is for s to intellectually attend to o is for s to regulate a priority system S such that the activity of thinking about o is of top priority in S. And for the case of attending to something in an emotion of anger we would have. Angrily attending What it is for s to angrily attend to o is for s to regulate a priority system S such that a state of being angry at (or about) o is of top priority in S. 32 On the structuralist picture it is thus easy to see how there could be different ways of attending, what distinguishes them and what they have in common. What they have in common is that they are constituted by priority structures. What distinguishes them is which priority structure the subject’s priority systems have, in particular what is of top priority in such a system. A subject’s priority structures at some time capture a momentary snapshot of the way she is attending. Consider again the subject who is attending to her troubling finances for an afternoon. During that afternoon her priority structures change. But they have some commonalities. States that are in some way about her financial difficulties keep being on top of her priority structures. For that reason, those finances remain to object of her attention. 7 Occupants of attention In Chapter 2 I have suggested that what it is for an activity to occupy the subject’s attention is for that activity to draw on the subject’s capacity for attending. So, when my attention is occupied by playing basketball then playing basketball draws on my 32 Being angry at someone, and being angry about something, of course, are not the same thing. So there can be least two distinct ways of angrily attending to something depending on whether being angry at, for example, your colleague is of top priority or whether being angry about his insult or wrongdoing is of top priority. Occupants of attention 85 capacity for attention in something like the way it draws on my capacity for running or throwing. We can now make this more precise. When an activity or mental state occupies the subject’s attention then it will draw on her capacity to prioritize. In the simplest case, this will simply mean that the relevant state is of top priority in a priority system. If our subject is occupied by pain or nausea, then that pain or that feeling is on top of her priority list (indeed, as we will see in chapter 6, pains have a tendency to put themselves high up on that list). This account also plausible for the case of other bodily sensations. In these cases the experience of the relevant sensation is what occupies the subjects attention. Insofar as these experiences have an intentional object these objects will at the same time be the objects of the subject’s attention. In the simple case we thus have. Simply Occupied Attention (full) What it is for a subject s’s attention to be simply occupied by M is for M to be of top priority in a priority system of s. In many cases a subject’s attention will not be fully occupied by anything. Many different sensations, for example, might occupy the subject’s attention to a similar degree. In this case, the relevant sensations are located somewhere relatively high up in a priority system. The degree to which they occupy the subject’s attention will be roughly measured by how high up in the priority system they are. Simply Occupied Attention (degreed) The degree to which mental state M simply occupies a subject s’s attention is determined by how high up in a priority system of s M is. What occupies a subject’s attention then are aspects of her mental life. By contrast, the objects of her attention are normally not aspects of her mental life. When a subject’s attention is occupied by a certain mental state like a bodily sensation, a thought, or an emotion, that mental state thus is (at least normally) not the object of the subject’s attention. For mental state M1 to be the object of the subject’s attention, as we have seen, would be for there to be another mental state M2 that is intentionally directed at M1 to be of top priority. On the account I have provided, there is a clear difference between attending to, say, a felt emotion and for that emotion to occupy the subject’s attention. One way to attend to a pang of anger, for example, would be to think about that felt anger (and for that thought to be of top priority). But when the thought about the anger is of top priority, then normally the anger is not also of top priority, and so her anger does not occupy the subject’s attention. In many cases, indeed, an emotion or bodily sensation that occupies the subject’s attention will also be highly psychologically salient and thus draw her attention away from, for example, thinking about that emotion or bodily sensation.33 Often, then, it will be psychologically impossible for a subject to 33 See Chapter 6 for more on psychological salience. 86 Priority Structures both have a strong emotion that occupies her attention and also attend to it.34 Though, in some cases, of course, the subject’s attention is split so that her anger is both the object of her attention and also occupies her attention. The notion of occupied attention mentioned so far is most suited for cases where the subject’s attention is occupied by a bodily sensation, a particular thought, an urge, craving, or strong emotion. In cases where a complex activity like dancing, playing basketball or reading occupies the subject’s attention, the account of simply occupied attention seems at least insufficient and maybe implausible. If a subject’s attention were simply occupied by playing basketball, then playing basketball would be of top priority in the subject’s priority system. Given that playing basketball is a bodily activity, this would imply that priority structures are extended mental states (i.e. they are realized partly by processes outside the subject’s brain). This may seem implausible to some theorists (though others may find it congenial). Whether or not one finds fault with extended priority structures, it seems to me that the account of simply occupied attention is too simplistic for complex cases such as these (it is also too simplistic for cases of complex mental activities, like planning one’s future life). The simple account of occupied attention, though, can be extended. Complex activities like dancing, playing basketball, or planning one’s future are highly structured processes in the sense developed in Sec. 4 of Chapter 3. They have many states and events as constituent parts and have a complex internal form. What occupies the subject’s attention, further, often are activities and as such they are partially constituted by subject level guiding states. In many cases, indeed, the activity that occupies the subject’s attention will be performed intentionally and the subject thus will have a complex hierarchy of plans, goals, execution strategies, and motor intentions. Whether or not the relevant activities are themselves embodied they will thus be partially constituted by a complex web of mental states and events. These are that activity’s constitutive states and events (in the sense developed in Chapter 3). Many of the constitutive states and events of, say, reading will be guiding states (e.g. a subject’s intention to read), but some of them might be resultant states as well (visual reading for example is partially constituted by seeing something; Braille reading by feeling something). A structured activity then complexly occupies the subject’s attention when the following two conditions are fulfilled. Complexly Occupied Attention The degree to which an internally structured activity A complexly occupies a subject s’s attention is determined 34 (1) by how high up in a priority system of s the constitutive states and events of A are. (2) by how much the constitutive guiding states of A constrain the temporal evolution of s’s priority structures. There is one complication: if some mental state is intentionally directed at itself, then for it to occupy the subject’s attention would also be for it to be the object of the subjects attention. Some have argued that conscious mental states are selfrepresentational in this way (see Kriegel 2009). Occupants of attention 87 Clauses (1) and (2) roughly correspond to the two elements of structured activities, i.e. their constitutive states and events, and their internal form. I take it that the interpretation of (1) is relatively straightforward. While our subject is playing basketball, the subject’s basketball relevant goals, execution strategies, relevant visual and tactile experiences, etc. remain high up in her priority structures. For the interpretation of (2) consider that in order for playing basketball to occupy the subject’s attention it is not enough to look at the subject’s priority structures moment by moment. How the priority structures change must also be constrained by the states that guide the activity of playing basketball. Suppose the subject starts by planning a certain defense strategy. That plan will be high up in her priority systems. Now as she executes that plan her priority structures must evolve in accordance with her plan (as well as newly incoming information). Playing basketball would not occupy the subject’s attention if that plan had no effect on what will come to have high priority as the plan is executed. The constitutive guiding states of playing basketball thus must constrain how her priority structures evolve over time. Just like in the case of mental states that simply occupy the subject’s attention, when structured activities complexly occupy her attention there will be only rough measures of how much of her attention is so occupied. The relevant vagueness of what it is to have one’s attention occupied is captured by a corresponding vagueness in how high up in the subject’s priority structures the relevant states and events are and by how much the relevant guiding states constrain the temporal evolution of the subject’s priority structures. Note also that just like in the case of simply occupied attention, there is a difference between an activity that complexly occupies the subject’s attention and an activity to which the subject attends, corresponding to a distinction drawn by Alan White between agent attention and spectator attention.35 A subject attends to an activity if a mental state that is intentionally directed at that activity is of top priority. The subject may for example think about or look at her own basketball ball playing. But thinking about basketball or looking at one’s own play are normally not constitutive states of playing basketball. It is not part of what it is to play basketball that one thinks about it (in contrast, for example, to the various goals one must have). Because of that, when playing basketball is the object of a subject’s attention it will normally not also occupy her attention, and indeed the former will tend to interfere with the latter (since, as a matter of our psychological makeup, if a thought about basketball is of top priority then the constitutive states of playing basketball are normally not also of top priority). Attending to one’s basketball playing thus will often distract from the actual playing. 35 White 1964. 88 Priority Structures 8 Constitutive priority structures At the end of this chapter, let us consider that some mental states, activities or conditions are plausibly constituted by certain priority structures (synchronically, or at a time) as well as by how these priority structures tend to evolve over time (diachronically). We have already seen simple cases. Looking at something is a mental activity where a seeing of that thing is of top priority (in the case of listening to something it is a hearing). In the last chapter I have also discussed watching something where a seeing must be of top priority and a goal of knowing what that thing is doing must constrain the temporal evolution of the relevant priority structure (the goal must be causally involved in keeping the subject’s priority structure centered on that seeing). Arguably there are many other mental states or activities that are partially constituted by priority structures and constraints on their temporal evolution. As a start consider inspecting something, searching for something (though maybe there can be inattentive searches), observing something, etc. For more interesting cases, one might look toward desires, certain emotions, certain moods, and other mental conditions (such as emotional disorders or addiction). I won’t defend any of these views, but intend simply to give some examples to provide the reader with an idea for how priority structures might partially constitute certain mental states. Consider, for example, T.M. Scanlon’s “desires in the directed attention” sense. On this view, occurrent desires are characterized as follows. For an organism to desire p is for the thought of p to keep occurring to the organism in a favorable light, so that its attention is directed insistently toward considerations that present themselves as counting in favor of p.36 On this view desires are partially constituted by a strong tendency to have certain priority structures. In those priority structures mental states that intentionally directed at certain considerations will be of top (or high) priority (arguably these mental states must also be psychologically salient, thus instructing the subject to put and keep them at top priority. See Chapter 6). For the case of emotion consider the following claim in a recent book by Michael Brady.37 [F]ocusing of attention onto some object or event is, plausibly, constitutive of emotional experience. For it seems impossible to think of someone as being afraid of the upcoming exam without the 36 Schroeder 2014. See Scanlon 1998. Brady 2013, p. 181f. See also the many studies on the connections between the emotions and attention cited in Brady’s book. See also Goldie 2002; and Bach 1994 especially for the – arguably constitutive – connection between emotional disorders and certain priority structures. 37 Constitutive priority structures 89 upcoming exam being the target of her attention. Similarly, it seems impossible to think of someone as being angry about the Principal’s pay rise without the Principal’s pay rise being the object or event that he attends to when angry. Let us therefore call the intentional target of emotion—that which the emotion is about—the object of constitutive attentional focus. To say that some emotion involves, as a constituent, attention to some object or event does not entail, of course, that the subject’s attention is solely focused on that object. My guilt at my bad behaviour might make me attend not only to what I did, but to ways in which I can make reparations; my disappointment at the team’s defeat might lead me to pay attention not only to the loss, but to the possibility of alleviating my feelings with a trip to the pub…. According to Brady certain priority structures thus are constitutive of particular emotions (and consequently, he argues that which emotions we should feel – or that a virtuous agent would feel – is largely determined by what should be the objects of our attention; or generally how our priority structures should look like). In addition to desires and emotions, mental conditions that may be partially constituted by certain priority structures include moods,38 mood disorders such as depression, or mania, as well as addiction. In many of these cases, there are large amounts of research about the empirical connections between the relevant mental states and attention. With the help of priority structures philosophers who are interested in what constitutes these states or conditions, as well as on their normative significance, have a further tool at their disposal. 38 E.g. Solomon 1993.