"William Day is . . . concerned to explore the dynamics of what Cavell calls 'a theology of reading' through a careful examination of a fragment of the philosopher's autobiography first published as 'Excerpts from Memory' (2006) and subsequently revised for Little Did I Know (2010). If, as Cavell suggests, 'the underlying subject' of both criticism and philosophy is 'the subject of examples', in which our interest lies in their emblematic aptness or richness as exemplars, exemplarity becomes central to the (...) aim of our reading. . . . Day considers how autobiography as a genre is preoccupied with the question of the author's exemplarity (Augustine or Rousseau), and in Cavell's retelling in 'Excerpts from Memory' he discusses how an event that Cavell would have us read allegorically - his move at the age of seven to a new apartment, his coming upon a familiar bowl containing nonpareils, his remark upon this to his father and his father's violent reaction - recasts a scene of paternal hatred as the child's offer of communion. Day suggests that this retelling proves to be redemptive: first, of the incident itself, and second, of the reader's own experience. Seeing how to read this autobiographical life as exemplary helps us to transfigure our own moments of deprivation into so many possibilities for freedom." --James Loxley and Andrew Taylor, introductory chapter to Stanley Cavell: Philosophy, Literature and Criticism, 15-16. (shrink)

Although the discipline of vice epistemology is only a decade old, the broader project of studying epistemic vices and failings is much older. This paper argues that contemporary vice epistemologists ought to engage more closely with these earlier projects. After sketching some general arguments in section one, I then turn to deep epistemic vices: ones whose identity and intelligibility depends on some underlying conception of human nature or the nature of reality. The final section then offers a case study from (...) a vice epistemic tradition that emerged in early modern English natural philosophy. (shrink)

I offer a working analysis of the concept of 'epistemic corruption', then explain how it can help us to understand the relations between epistemic vices and social oppression, and use this to motivate a style of vice epistemology, inspired by the work of Robin Dillon, that I call critical character epistemology.

I introduce the concept pathophobia, to capture the range of morally objectionable forms of treatment to which somatically ill persons are subjected. After distinguishing this concept from sanism and ableism, I argue that the moral wrongs of pathophobia are best analysed using a framework of vice ethics. To that end I describe five clusters of pathophobic vices and failings, illustrating each with examples from three influential illness narratives.

The aim of this paper is to show that an aesthetics of exemplarity could be a useful component of projects of moral self-cultivation. Using some in Linda Zagzebski's exemplarism, I describe a distinctive, aesthetically-inflected mode of admiration called moral attraction whose object is the inner beauty of a persn - the expression of the 'inner' virtues or excellences of character of a person in 'outer' forms of bodily comportment that are experienced, by others, as beautiful. I then argue that certain (...) moral traditions deploy inner beauty within their practices of moral self-cultivation - a good example being Confucianism. Advocates of exemplarist moral education should therefore take seriously the ways that an aesthetics of exemplarity can play roles within projects of moral self-cultivation. (shrink)

In this thesis, I will defend a new kind of compatibilist account of free action, indirect conscious control compatibilism (or indirect compatibilism for short), and argue that some of our actions are free according to it. My argument has three components, and involves the development of a brand new tool for experimental philosophy, and the use of cognitive neuroscience. The first component of the argument shows that compatibilism (of some kind) is a conceptual truth. Contrary to the current orthodoxy in (...) the free will literature, which is that our concept of free will is an incompatibilist concept - a concept according to which we have free will only if determinism is false - I will show that our concept of free will is in fact a compatibilist concept - a concept according to which we can have free will even if determinism is true - and I do so using a new experimental philosophy methodology inspired by two-dimensional semantics. -/- Of course, even if our concept of free will is a compatibilist concept, this does not mean that there are any free actions in the world: the current empirical evidence from the brain sciences appears to show that there might be no, or very few, free actions in the world, even on many compatibilist understandings of what it would take for there to be free will. The second component of the argument addresses this concern by extending our understanding of compatibilism. Agents act freely either when their actions are caused by compatibilistically acceptable psychological processes, or are indirectly caused by those same processes. Hence the name of my account: indirect compatibilism. -/- The final component of the argument defends my new account against some interesting objections and provides evidence from cognitive neuroscience that some of our actions count as free by the lights of indirect compatibilism. (shrink)

One way to think about the philosophical significance of hatred is to consider doctrines that are characterised by feelings of hatred. A good candidate is misanthropy, which is often conceived as an attitude of hatred directed at humankind at large. I start by sketching a working account of misanthropy as a critical verdict or judgment on the contemporary condition of humankind as it has become. The criticism is directed at the array of vices and failings that are ubiquitous and entrenched (...) within the wider structures of human life, rather than those of individual persons. In one of its forms, misanthropy manifests itself in feelings of hatred for those entrenched failings and the patterns of awful behaviour which they motivate and sustain - for instance, the figure that Kant called the "enemy of mankind", or the radical eco-misanthropes who populated much American radical environmentalism of the 1980s, with their calls to 'tear down' the 'whole human world'. I then argue that such hateful 'enemies of mankind' represent only one among a set of modes of misanthropy. These have more peaceable affective and practical profiles that offer us forms of misanthropy without hatred. If so, we can think philosophically about hate in relation to misanthropy and about the potential scope of hatred. Thinking about the entrenched vices and failings constitutive of our life as it has become offers a way of intelligibly hating something as large as 'humanity'. But there are other responses to those vices and failings than hatred. I end by speculating that although hateful misanthropy tends to dominate discussions of misanthropy, historically it is the least common. That, itself, might tell us something about the sustainability of hatred. (shrink)

David. E. Cooper’s claim in Animals and Misanthropy is that honest reflection on the ways human beings treat and compare with animals encourages a dark, misanthropic judgment on humankind. Treatment of animals manifests a range of vices and failings that are ubiquitous and entrenched in our practices, institutions, and forms of life, organized by Cooper into five clusters. Moreover, comparisons of humans and animals reveals both affinities and similarities, including a crucial difference that animals are capable of virtues while being (...) vice-free, whereas humans are both virtuous and vicious. Various familiar ways of thinking morally and scientifically about animal life are criticized for being overly abstract, occluding richer ways of engaging with animals that are better able to disclose the fundamental wrong of their treatment by humans. The book offers a concise, lucid challenge to mainstream ways of thinking morally about animals and to comfortably optimistic estimations of the moral performance of humankind. (shrink)

In ‘Forgiveness, an Ordered Pluralism’, Fricker distinguishes two concepts of forgiveness, both of which are deployed in our forgiveness practices: moral justice forgiveness and gifted forgiveness. She then argues that the former is more explanatorily basic than the latter. We think Fricker is right about this. We will argue, however, that contra Fricker, it is a third more minimal concept that is most basic. Like Fricker, we will focus on the function of our practices, but in a way that is (...) informed by research in ethology (research which seeks to explain the function of animal behaviour and determine how these behaviours evolved). (shrink)

This paper focuses on the research field of machine ethics and how it relates to a technological singularity—a hypothesized, futuristic event where artificial machines will have greater-than-human-level intelligence. One problem related to the singularity centers on the issue of whether human values and norms would survive such an event. To somehow ensure this, a number of artificial intelligence researchers have opted to focus on the development of artificial moral agents, which refers to machines capable of moral reasoning, judgment, and decision-making. (...) To date, different frameworks on how to arrive at these agents have been put forward. However, there seems to be no hard consensus as to which framework would likely yield a positive result. With the body of work that they have contributed in the study of moral agency, philosophers may contribute to the growing literature on artificial moral agency. While doing so, they could also think about how the said concept could affect other important philosophical concepts. (shrink)

ABSTRACT Wilfrid Sellars argued that Kant’s account of the conceptual structures involved in experience can be given a linguistic turn so as to provide an analytic account of the resources a language must have in order to be the bearer of empirical knowledge. In this paper I examine the methodological aspects of Kant’s transcendental philosophy that Sellars took to be fundamental to influential themes in his own philosophy. My first aim here is to clarify and argue for the plausibility of (...) what I claim is Sellars’ interpretation of Kant’s ‘analytic’ transcendental method in the first Critique, based ultimately on non-trivial analytic truths concerning the concept of an object of our possible experience. Kant’s ‘transcendental proofs’ thereby avoid a certain methodological trilemma confronting the candidate premises of any such proof, taken from Sellars’ 1970s undergraduate exam question on Kant. In part II of the essay I conclude by highlighting in general terms how Kant’s method, as interpreted in the analytic manner explained in part I, was adapted by Sellars to produce some of the more influential aspects of his own philosophy, expressed in terms of what he contends is their sustainable reformulation in light of the so-called linguistic turn in twentieth-century philosophy. (shrink)

A chapter exploring the relations between humility and the sciences.

I survey some points of contact between contemporary vice epistemology and feminist philosophy of science.

This article focuses on a particular issue under machine ethics—that is, the nature of Artificial Moral Agents. Machine ethics is a branch of artificial intelligence that looks into the moral status of artificial agents. Artificial moral agents, on the other hand, are artificial autonomous agents that possess moral value, as well as certain rights and responsibilities. This paper demonstrates that attempts to fully develop a theory that could possibly account for the nature of Artificial Moral Agents may consider certain philosophical (...) ideas, like the standard characterizations of agency, rational agency, moral agency, and artificial agency. At the very least, the said philosophical concepts may be treated as signposts for further research on how to truly account for the nature of Artificial Moral Agents. (shrink)

In this chapter I argue that despite its current popularity the doctrine of the specious present, or at least every current version of it, should be rejected. I describe two alternative accounts, which deal with experiences of two different kinds of change. The first is what I call the dynamic snapshot theory, which accounts for the way we experience continuous changes such as motion and other motion-like phenomena. The second account deals with the way we experience discontinuous changes, those for (...) which there is no finite rate of change. However I then argue that much of the current debate implicitly presupposes a problematic Cartesian view about the nature of conscious experience. If this view is rejected – as I think it should be – then a different kind of account emerges that avoids commitment both to the specious present and to its main current rival, the cinematic view. (shrink)

O'Shea concludes that Sellars's attempts to preserve the core truths in Kant's theory of experience and to integrate them with an overall scientific naturalist outlook can and should survive the rejection of several central components of Sellars's proposed adaptation of Kant's transcendental idealism: ABSTRACT: "Sellars’ career-long engagement with Kant’s philosophy involved both readings of Kant and appropriations of Kant that are nuanced, original, and related in complex ways to Sellars’ own philosophical views. In some ways similar to Strawson’s classic reading, (...) Sellars defended Kant’s theory of experience and his analysis of human knowledge as essentially correct. This includes various views on the nature of conceptual cognition, the thinking self, practical reason, perceptual experience, and the lawfulness of nature. On the other hand, and again like Strawson, Sellars regarded Kant’s transcendental idealism as involving a strong ontological commitment to unknowable but thinkable (and non-spatiotemporal) ‘things in themselves’. However, whereas Strawson regarded such a position as deeply incoherent, Sellars argues that Kant’s theological conception of things in themselves can coherently be replaced with a scientific realist conception of things in themselves as theoretically postulated imperceptible processes, which play a structurally similar role for Sellars in grounding the Kantian-phenomenal ‘appearances’ in the ‘manifest image’ of the world. Sellars’ highly complex but sophisticated reading of Kant on sensibility and intuition, when combined with Sellars’ own idiosyncratic views on sensory qualia, render it even more difficult to come to terms with Sellars’ engagements with Kant’s idealism. This chapter attempts to provide a concise presentation and evaluation of certain central themes in Sellars’ complex philosophical dialogue with Kant.". (shrink)

An essay that weighs the main factors that lead authors of academic and scientific books to consider conventional publication of their work, with realistic and practical recommendations for these authors so they may avoid the contractual “imprisonment” of their books after the period of initial active sales has passed.

Programs of drug testing welfare recipients are increasingly common in US states and have been considered elsewhere. Though often intensely debated, such programs are complicated to evaluate because their aims are ambiguous – aims like saving money may be in tension with aims like referring people to treatment. We assess such programs using a proportionality approach, which requires that for ethical acceptability a practice must be: reasonably likely to meet its aims, sufficiently important in purpose as to outweigh harms incurred, (...) and lower in costs than feasible alternatives. In the light of empirical findings, we argue that the programs fail the three requirements. Pursuing recreational drug users is not important in the light of costs incurred, while dependent users who may require referral are usually identifiable without testing and typically need a broader approach than one focussing on drugs. Drug testing of welfare recipients is therefore not ethically acceptable policy. (shrink)

The American system of education makes important and sometimes unjustified assumptions that were questioned and criticized nearly a hundred years ago by author and educational theorist Albert Jay Nock. This essay discusses Nock’s theory of American education and finds that certain of these assumptions stand greatly in need of the support of evidence.

This review article provides a brief descriptive overview of past efforts to use self-referential argumentation, distinguishing pragmatical from metalogical self-referential approaches. The reviewer claims that the pragmatical self-referential argument proposed in this book is itself metalogically self-referentially inconsistent, and directs the reader to other relevant published works by the reviewer.

Social machines are systems formed by technical and human elements interacting in a structured manner. The use of digital platforms as mediators allows large numbers of human participants to join such mechanisms, creating systems where interconnected digital and human components operate as a single machine capable of highly sophisticated behaviour. Under certain conditions, such systems can be described as autonomous and goal-driven agents. Many examples of modern Artificial Intelligence (AI) can be regarded as instances of this class of mechanisms. We (...) argue that this type of autonomous social machines has provided a new paradigm for the design of intelligent systems marking a new phase in the field of AI. The consequences of this observation range from methodological, philosophical to ethical. On the one side, it emphasises the role of Human-Computer Interaction in the design of intelligent systems, while on the other side it draws attention to both the risks for a human being and those for a society relying on mechanisms that are not necessarily controllable. The difficulty by companies in regulating the spread of misinformation, as well as those by authorities to protect task-workers managed by a software infrastructure, could be just some of the effects of this technological paradigm. (shrink)

This essay is my extended review of Eamonn Butler’s outstanding primer, Classical Liberalism. In his book, Butler notes that the phrase “classical liberal” encompasses a wide spectrum of views, from conservatism to libertarianism. Butler lays out 10 principles that characterize classical liberalism, sketches its history, and discusses the value classical liberals place on freedom and toleration. He also examines the classical liberal views of politics, government, and society, and some useful compendia for the reader.

In this essay, I review the movie Good. Good tells the story of the moral corruption of its protagonist, a writer, who is seduced by blandishments and material rewards given to him by the Nazi regime. It is a nice illustration of corruption—the degradation of character wrought by the desire for wealth and fame—what Aristotle would call “pleonexia.”.

People have sought ways to improve their physical and mental capabilities for thousands of years. For those of us who believe that human enhancement technologies include clothes, tools and weapons, the politics of enhancement started in prehistory. The norms of pre-industrial societies that only certain castes or genders could touch specific tools or wear certain clothes were preliminary politics of enhancement. Prosthetic limbs are thousands of years old, and by the 15th century, there were multiple experiments with vaccination around the (...) world. Although it would be appropriate to write a history of the various forms of empowerment that have taken place since the dawn of civilisation, this volume – that now we can present to the lectors – will be on the debates about human enhancement that began in the early 20th century, once modern medicine had begun to suggest actual technologies for human augmentation. Before examining the relationship between human enhancement and biopolitics (the subject of our work), it is helpful to say a few words about the series in which this volume appears, a series that bears the same title as this first text and which opens with contributions from the best scientific experts on the subject. (shrink)

Descartes’ first book, 1618’s Compendium of Music, focuses on biomechanical reactions in the human body but also claims that the purpose of art is to arouse emotions. By the end of the 1630s, however, he had given up on precisely predicting how that arousal may occur. This article contends, though, that Descartes’ abandonment of that project is a result of using an inappropriate psychological model for such predictions. An appropriate model is developed in his last book, 1649’s The Passions of (...) the Soul. Especially by attending to generosity and desire, the probability of predicting aesthetic judgments is at least increased. In increasing it, Descartes’ abandonment need not be total. (shrink)

This essay is my short, critical review of Donald Livingston’s anthology, Rethinking the American Union for the Twenty-First Century. The contributors of this anthology all argue for secession as a legal and proper tool for calling the Federal government down in size and power. I critically examine the arguments of the contributors.

The entry provides an overview of the type-token distinction, including a comparison to other nearby distinctions.

Having taught informal logic and critical thinking for decades, I surmise that there are rare learners who seem to manifest an undocumented learning disability marked by the incapacity to recognize when two or more propositions bear an inferential relationship to one another. As implied, this proposed learning disability does not yet seem to be recognized formally by the scientific community. The purpose of this brief paper is twofold: First, I simply intend to note that my anecdotal teaching experiences suggest that (...) such a learning disability seems to exist; Second, I have coined and evaluated several possible names for this learning disability, ultimately proposing that it should be termed dysinferentia. Keywords: dyslexia, dyscalculia, dysinferentia, dyslogismia, dysepagogia, dysnous, dyssyllogismia . (shrink)

Fallacious reasoning can stem from interacting with purported advocates and/or critics who are not competent to fulfil their respective roles relative to the topic under discussion. The notions of the “incompetent advocate” and the “incompetent critic” are introduced and described, and they are then invoked in the descriptions of three new fallacies. I conclude with some recommendations as to how one can avoid these fallacious traps.

In this article I review the defining qualities of an ideology, and I introduce the notion of an ideological receptor, which I propose to be an innate cognitive structure in normal human beings. The existence of this ideological receptor would explain the common human tendency toward embracing ideologies essentially spontaneously and uncritically. This tendency is relevant to critical thinking due to the fact that some ideologies are comprised of beliefs that are false, or maladaptive, or beliefs that prescribe actions that (...) are immoral. The ideological receptor should be relatively uncontroversial since it simply groups together several widely acknowledged functions of normal human cognition into a larger, functional cognitive system. That being said, grouping these independent functions together under a unifying label can constitute an arguably useful model of yet another obstacle to critical thinking, and in theory, an awareness of this obstacle can potentially facilitate its neutralization. (shrink)

During the American Civil Rights Movement, Martin Luther King’s principal arguments reasoned from theological ethics, appealing to natural law, imago Dei, and agape love. Today in the United States, with the prevailing ideal of public reason, such arguments are unacceptable in the public square. In lieu of King’s theological arguments, are there philosophical principles or values adequate to sustain the cause of racial justice, establishing both a secure rational foundation for racial justice and providing sufficient moral incentive for citizens to (...) work self-sacrificially for this cause? I assess the prospects of the major philosophical alternatives, specifically utilitarianism, Kantian ethics, virtue ethics, contractarianism, and the anti-theory option. I conclude that each of these approaches fails to provide the necessary conceptual resources to sustain the cause for racial justice. This presents a disconcerting dilemma: either we readmit theological considerations into the public square or surrender hope for the achievement of lasting racial justice in the United States. (shrink)

Subject-sensitive invariantism posits surprising connections between a person’s knowledge and features of her environment that are not paradigmatically epistemic features. But which features of a person’s environment have this distinctive connection to knowledge? Traditional defenses of subject-sensitive invariantism emphasize features that matter to the subject of the knowledge-attribution. Call this pragmatic encroachment. A more radical thesis usually goes ignored: knowledge is sensitive to moral facts, whether or not those moral facts matter to the subject. Call this moral encroachment. This paper (...) argues that, insofar as there are good arguments for pragmatic encroachment, there are also good arguments for moral encroachment. (shrink)

ABSTRACT: Central to both James’s earlier psychology and his later philosophical views was a recurring distinction between percepts and concepts. The distinction evolved and remained fundamental to his thinking throughout his career as he sought to come to grips with its fundamental nature and significance. In this chapter, I focus initially on James’s early attempt to articulate the distinction in his 1885 article “The Function of Cognition.” This will highlight a key problem to which James continued to (...) return throughout his later philosophical work on the nature of our cognition, including in his famous “radical empiricist” metaphysics of “pure experience” around the turn of the century. We shall find that James grappled insightfully but ambivalently with the perceptual and conceptual dimensions of the “knowledge relation” or the “cognitive relation,” as he called it—or what, following Franz Brentano, philosophers would later call our object-directed thought or intentionality more generally. Some philosophers have once again returned to James’s work for crucial insights on this pivotal topic, while others continue to find certain aspects of his account to be problematic. What is beyond dispute is that James’s inquiries in this domain were both innovative and of lasting significance. (shrink)

We report the results of a study that investigated the views of researchers working in seven scientific disciplines and in history and philosophy of science in regard to four hypothesized dimensions of scientific realism. Among other things, we found that natural scientists tended to express more strongly realist views than social scientists, that history and philosophy of science scholars tended to express more antirealist views than natural scientists, that van Fraassen’s characterization of scientific realism failed to cluster with more standard (...) characterizations, and that those who endorsed the pessimistic induction were no more or less likely to endorse antirealism. (shrink)

If, as Richard Wollheim says, the Acquaintance Principle is ‘a well-entrenched principle in aesthetics,’ it would be surprising if there were not something true at which those who have asserted it have been aiming. I argue that the Acquaintance Principle cannot be true on any traditional epistemic interpretation, nor on any usability interpretation of the sort Robert Hopkins has recently suggested. I then argue for an interpretation of the principle that treats acquaintance as the end to which judgments of aesthetic (...) value are the means as opposed to the other way around. (shrink)

Objections to the orthodox doctrine of an eternal hell often rely on arguments that it cannot be a person’s own fault that she ends up in hell. The paper summarizes and addresses three significant arguments which aim to show that it could not be any individual’s fault that they end up in hell. I respond to these objections by showing that those who affirm a classical picture of sin have Moorean reasons to reject these objections. That classical perspective holds that (...) all (serious) sin involves choosing eternal destiny apart from God and that no sin could possibly be caused by God. Consequently, it is necessary for ending up in hell that someone commit a serious sin, and it is sufficient for ending up damned that one persists forever in sin. Since the objections conflict with Moorean commitments central to the classical perspective, those who hold to such a classical perspective on sin would have good reason to reject all these arguments, which involve assumptions that would entail that such a perspective is false. (shrink)

A number of theistic philosophers have recently denied that God is subject to moral and rational norms. At the same time, many theists employ epistemological and inductive arguments for the existence of God. I will argue that ‘no-norms’ theists cannot make use of such arguments: if God is not subject to norms – particularly rational norms – then we can say nothing substantive about what kind of worlds God would be likely to create, and as such, we cannot predict the (...) likelihood of any particular evidence given theism. What is more, I argue that this lack of constraint on God's creative act raises a serious sceptical challenge for no-norms theism. (shrink)

Recent debates between representational and relational theories of perceptual experience sometimes fail to clarify in what respect the two views differ. In this essay, I explain that the relational view rejects two related claims endorsed by most representationalists: the claim that perceptual experiences can be erroneous, and the claim that having the same representational content is what explains the indiscriminability of veridical perceptions and phenomenally matching illusions or hallucinations. I then show how the relational view can claim that errors associated (...) with perception should be explained in terms of false judgments, and develop a theory of illusions based on the idea that appearances are properties of objects in the surrounding environment. I provide an account of why appearances are sometimes misleading, and conclude by showing how the availability of this view undermines one of the most common ways of motivating representationalist theories of perception. (shrink)

Metaethical expressivism is typically characterised as the view that normative statements express desire-like attitudes instead of beliefs. However, in this paper I argue that expressivists should claim that normative statements express beliefs in normative propositions, and not merely in some deflationary sense but in a theoretically robust sense explicated by a theory of propositional attitudes. I first argue that this can be achieved by combining an interpretationist understanding of belief with a nonfactualist view of normative belief content. This results in (...) a view I call ‘interpretative expressivism’. I then argue that traditional arguments employed by expressivists that normative statements express noncognitive attitudes can just as well support the claim that normative statements express nonfactual or nonrepresentational beliefs. Finally, I argue that this view has a number of advantages to versions of expressivism that deny that normative statements express non-deflationary normative beliefs. (shrink)

In August 2021, Froese et al. published survey data collected from 2,543 respondents on their subjective experiences living under imposed social distancing measures during COVID-19 (1). The questionnaire was issued to respondents in the UK, Japan, and Mexico. By combining the authors’ expertise in phenomenological philosophy, phenomenological psychopathology, and enactive cognitive science, the questions were carefully phrased to prompt reports that would be useful to phenomenological investigation and theorizing (2–4). These questions reflected the various author’s research interests (e.g., technology, grief, (...) time). Between April 7th and July 31st, 2021, a second questionnaire with the same question set was issued to respondents of the original who had agreed to do a follow-up. This was intended to capture subjective reports of life under social distancing measures a year after the initial survey. By this time–depending on their country of residence and health status–respondents had potentially lived with repeated and prolonged lockdowns and a variety of other restrictions on their social lives. When taken together, Survey I and Survey II provide a cross-cultural and longitudinal dataset that allows for analysis of longer-term impacts of imposed social distancing measures on people’s experiences. For researchers working in diverse disciplines, this dataset offers a rich resource that reflects people’s reactions to the imposition of different social restrictions in different countries and over different time periods. (shrink)