The ICD-11 personality disorder model is the first fully dimensional assessment of personality pathology. It consists of a personality disorder dysfunction-severity dimension, which encompasses both self- and interpersonal dysfunction, and six optional qualifiers for five prominent personality traits—Negative Affectivity, Detachment, Dissociality, Disinhibition, and Anankastia —plus a borderline pattern that is defined by the criteria of DSM-IV borderline PD. This article reports on the development of a new self-report measure to assess self- and interpersonal dysfunction and the five trait qualifiers. It (...) is the first comprehensive measure of the ICD-11 PD model in that it is the only one to include both PD dysfunction-severity as well as trait scales and because it is based on the Clinical Description and Diagnostic Guidelines, which are more detailed than the “statistical” model description that is currently on the ICD-11 website. The authors wrote 992 items and then reduced the pool to 300 items by eliminating redundancy and selecting the consensus best few items for each subconstruct. Data were collected using an online sample of 383 Prolific workers. Using exploratory factor analysis, seven domain scales were developed, each of which contained two to four scales assessing components of the domain. These preliminary scales’ psychometrics were excellent, as were the domains’ and their components’ convergent and discriminant validity, with a few generally minor exceptions. Structural analyses at the component level revealed a three-factor structure consisting of two moderately correlated Internalizing factors, one centered on Self Dysfunction with two NA components and a DSN component and the other on Interpersonal Dysfunction with DET and ANK components; as well as an Externalizing factor with DSL and a DSN component that was uncorrelated with the other two factors. Two aspects of the results in particular are striking: ANK was not the opposite end of a DSN dimension, but rather contributed to an Internalizing Interpersonal Dysfunction dimension and DSN had both an Internalizing and an Externalizing component. Implications of the findings and study limitations are discussed. (shrink)

Currently, the common theoretical models of "preferred" decision-making relationships do not correspond well with clinical experience. This interview study of congestive heart failure (CHF) patients documents the variety of patient preferences for decision-making, and the necessity for attention to family involvement. In addition, these findings illustrate the confusion as to the designation of surrogate decision-makers and physicians in charge. We conclude that no single model of physician-patient decision-making should be preferred, and that physicians should first ask patients how they want (...) medical information and decision-making to be handled. (shrink)

Guilt and shame are self-conscious emotions with implications for mental health, social and occupational functioning, and the effectiveness of sports practice. To date, the assessment and role of athlete-specific guilt and shame has been under-researched. Reporting data from 174 junior elite cricketers, the present study utilized exploratory factor analysis in validating the Athletic Perceptions of Performance Scale, assessing three distinct and statistically reliable factors: athletic shame-proneness, guilt-proneness, and no-concern. Conditional process analysis indicated that APPS shame-proneness mediated the relationship between general (...) and athlete-specific distress. While APPS domains of guilt-proneness and no-concern were not significant mediators, they exhibited correlations in the expected direction with indices of psychological distress and well-being. The APPS may assist coaches and support staff identify players who may benefit from targeted interventions to reduce the likelihood of experiencing shame-prone states. (shrink)

J.C. Beall and Greg Restall's Generalised Tarski Thesis is a generalisation of the seemingly diverse conceptions of logical consequence. However, even their apparently general account of consequence makes necessary truth-preservation a necessary condition. Sentences in the imperative mood pose a problem for any truth-preservationist account of consequence, because imperatives are not truth-apt but seem to be capable of standing in the relation of logical consequence. In this paper, I show that an imperative logic can be formulated that solves the (...) problem of imperative consequence by leading naturally to a further generalisation of the GTT. (shrink)

What are the relations between preattentive feature-placing and states of perceptual awareness? For the purposes of this paper, states of "perceptual awareness" are confined to the simplest possible exemplars: states in which one is aware of some aspect of the appearance of something one perceives. Subjective contours are used as an example. Early visual processing seems to employ independent, high-bandwidth, preattentive feature "channels", followed by a selective process that directs selective attention. The mechanisms that yield subjective contours are found very (...) early in this processing. An experiment by Greg Davis and Jon Driver is described; it seems to show that multiple subjective figures can be coded in these preattentive, parallel stages of visual processing. I propose that some of these preattentive states might register the very same differences that, were one aware of them, would be phenomenal differences. Some arguments pro and con on this possibility are assessed. (shrink)

Evidence-based medicine (EBM) makes use of explicit procedures for grading evidence for causal claims. Normally, these procedures categorise evidence of correlation produced by statistical trials as better evidence for a causal claim than evidence of mechanisms produced by other methods. We argue, in contrast, that evidence of mechanisms needs to be viewed as complementary to, rather than inferior to, evidence of correlation. In this paper we first set out the case for treating evidence of mechanisms alongside evidence of correlation in (...) explicit protocols for evaluating evidence. Next we provide case studies which exemplify the ways in which evidence of mechanisms complements evidence of correlation in practice. Finally, we put forward some general considerations as to how the two sorts of evidence can be more closely integrated by EBM. (shrink)

I argue that knowledge is a natural kind found in the modules of a massively modular mind. As such, it is not a conceptual kind. The result is that knowledge must be studied empirically and not by appeal to a priori analysis.

Descartes is possibly the most famous of all writers on the mind, but his theory of mind has been almost universally misunderstood, because his philosophy has not been seen in the context of his scientific work. Desmond Clarke offers a radical and convincing rereading, undoing the received perception of Descartes as the chief defender of mind/body dualism. For Clarke, the key is to interpret his philosophical efforts as an attempt to reconcile his scientific pursuits with the theologically orthodox (...) views of his time. (shrink)

What changes when an evolutionary transition in individuality takes place? Many different answers have been given, in respect of different cases of actual transition, but some have suggested a general answer: that a major transition is a change in the extent to which selection acts at one hierarchical level rather than another. The current paper evaluates some different ways to develop this general answer as a way to characterise the property ‘evolutionary individuality’; and offers a justification of the option taken (...) in Clarke :413–435, 2013)—to define evolutionary individuality in terms of an object’s capacity to undergo selection at its own level. In addition, I suggest a method by which the property can be measured and argue that a problem which is often considered to be fatal to that method—the problem of ‘cross-level by-products’—can be avoided. (shrink)

This essay examines recent work on abilities to act. Different kinds of ability are distinguished, and a recently proposed conditional analysis of ability ascriptions is evaluated. It is considered whether abilities are causal powers. Finally, several compatibility questions concerning abilities, as well as the relation between free will and abilities of various kinds, are examined.

Although Aristotle (Metaphysics, Book IV, Chapter 2) was perhaps the first person to consider the part-whole relationship to be a proper subject matter for philosophic inquiry, the Polish logician Stanislow Lesniewski [15] is generally given credit for the first formal treatment of the subject matter in his Mereology.1 Woodger [30] and Tarski [24] made use of a specific adaptation of Lesniewski's work as a basis for a formal theory of physical things and their parts. The term 'calculus of individuals' was (...) introduced by Leonard and Goodman [14] in their presentation of a system very similar to Tarski's adaptation of Lesniewski's Mereology. Contemporaneously with Lesniewski's development of his Mereology, Whitehead [27] and [28] was developing a theory of extensive abstraction based on the two-place predicate, 'x extends over y\ which is the converse of 'x is a part of y\ This system, according to Russell [22], was to have been the fourth volume of their Pήncipia Mathematica, the never-published volume on geometry. Both Lesniewski [15] and Tarski [25] have recognized the similarities between Whitehead's early work and Lesniewski's Mereology. Between the publication of Whitehead's early work and the publication of Process and Reality [29], Theodore de Laguna [7] published a suggestive alternative basis for Whitehead's theory. This led Whitehead, in Process and Reality, to publish a revised form of his theory based on the two-place predicate, 'x is extensionally connected with y\ It is the purpose of this paper to present a calculus of individuals based on this new Whiteheadian primitive predicate. (shrink)

The literature on cross-sector partnerships has increasingly focused attention on broader systemic or system-level change. However, research to date has been partial and fragmented, and the very idea of systemic change remains conceptually underdeveloped. In this article, we seek to better understand what is meant by systemic change in the context of cross-sector partnerships and use this as a basis to discuss the contributions to the Thematic Symposium. We present evidence from a broad, multidisciplinary systematized review of the extant literature, (...) develop an original definition of systemic change, and offer a framework for understanding the interactions between actors, partnerships, systemic change, and issues. We conclude with some suggestions for future research that we believe will enhance the literature in its next phase of development. (shrink)

A disposition mask is something that prevents a disposition from manifesting despite the occurrence of that disposition’s characteristic stimulus, and without eliminating that disposition. Several authors have maintained that masks must be things extrinsic to the objects that have the masked dispositions. Here it is argued that this is not so; masks can be intrinsic to the objects whose dispositions they mask. If that is correct, then a recent attempt to distinguish dispositional properties from so-called categorical properties fails.

In lieu of an abstract, here is a brief excerpt of the content:The Journal of Aesthetic Education 37.3 (2003) 112-118 [Access article in PDF] Hong Kong Art: Culture and Decolonization, by David Clarke. Durham, North Carolina: Duke University Press, 2002, 240 pp. Paper. The issue of identity is a "vicious" circle in relation to Hong Kong's return to China in 1997. The more one talks about it, the more it is to be talked about as if it is a (...) phenomenon at a very special moment. But isn't not talking about Hong Kong identity in a certain period of time also a "vicious" circle, in which the lack of noise invites further silence?David Clarke's Hong Kong Art is, in a sense, an initiation of Hong Kong art as a "vicious" circle. In this sense, a concrete affinity between a text and its subject matter is significantly established. This is one of the ideals, potentials, and powers of all books written for the sake of being read and having actual effect. In this respect, this "vicious" circle is not vicious in a negative sense. It is through such interactivities that a book establishes a positive link with its subject matter.Hong Kong Art investigates "a particular historical moment in which HongKong art came into its own" (p. 10) and dwells upon the "local-ness of recent Hong Kong art" (p. 8). Nevertheless, Clarke deliberately avoids introducing a chronological survey of "Hong Kong art history as a whole" (p. 10). His solid research draws on the colloquial meanings of Hong Kong art in connection with the dynamics among different languages (Cantonese, Mandarin, and English), local receptions of art as reflected in local media, as well as backgrounds of artists, artworks, and political and cultural developments, among others. All this is necessary for a book that examines theemergence of Hong Kong identity. This is the case especiallyas "[n]o adequate survey exists of Hong Kong art as a whole," albeit surveying Hong Kong art as a whole is not the book's objective. Clarke's meta-survey about surveys on Hong Kong art is given in an endnote, which I also quote here in a note for the reader's reference. "The present author's Art and Place: Essays on Art from a Hong KongPerspective (Hong Kong, 1996) attempts to give a picture of the Hong Kong art world in the period immediately prior to the one covered by this text, and includes [End Page 112] some discussion of art from earlier periods as well. Petra Hinterthür'sModern Art in Hong Kong (Hong Kong, 1985) attempts a brief survey, but is of course unable to throw light on more recent developments. A chronology of Hong Kong art development from 1922 to 1994 is given in Hong Kong Artists. Volume 1 (Hong Kong, 1995), pp. 21-32. A rather patchy and sometimes imprecise chronology of Hong Kong artistic events from 1967 to 1998 isgiven in Gao Minglu, ed., Inside Out: New Chinese Art (Berkeley, 1998), pp. 207-11. The latter chronology also covers political and other broader historical events of the period. A valuable resource (in Chinese) for research on the early period of Hong Kong art is provided by Edwin Lai and Jack Lee, 'A Chronology of Visual Arts Activities in Hong Kong, 1900-1930,' in Besides: A Journal of Art History and Criticism 1 (1997): 135-230" (p. 211).With regard to the book's "ideal" link with its subject matter, I will now discuss the book's actualization of what it sets out to examine. The inadequacy of surveys on Hong Kong art (whether or not as a whole) manifests the relative tranquility in acknowledging that Hong Kong art is distinct. In view of this, the book itself is an intervention that (further) actualizes what it talks about. This is the case particularly in light of its predecessors' "vicious" circle of "silence," let alone those simplifications reducing Hong Kong art to either a Westernized product or a Chinese branch.The "Introduction" of Hong Kong Art begins with a critique of Western art history practices such as Gardner's... (shrink)

In this essay I first provide an analysis of various community concepts. Second, I evaluate two of the most serious challenges to the existence of communities—gradient and paleoecological analysis respectively—arguing that, properly understood, neither threatens the existence of communities construed interactively. Finally, I apply the same interactive approach to ecosystem ecology, arguing that ecosystems may exist robustly as well. ‡I would like to thank to the participants at the Ecology and Environmental Ethics Conference at the University of Utah, the Philosophy (...) of Ecology Conference hosted by the University of Brisbane, and those participants in a session at the Philosophy of Science Association Meeting in Vancouver, British Columbia for helpful discussions of this essay. Specific thanks go to Mark Colyvan, Greg Cooper, Steve Downes, Chris Elliott, Marc Ereshefsky, Paul Griffiths, Jesse Hendrikse, Greg Mikkelson, Anya Plutynski, Kate Ritchie, Sahotra Sarkar, Kim Sterelny, and Rob Wilson. †To contact the author, please write to: Department of Philosophy, Lewis and Clark College, 0615 SW Palatine Hill Road, Portland, OR 97219; e-mail: [email protected]. (shrink)

Microbes are generally thought of as unicellular organisms, but we know that many microbes live as parts of biofilms—complex, surface-attached microbial communities numbering millions of cells. Some authors have recently argued in favour of reconceiving biofilms as biological entities in their own right. In particular, some have claimed that multispecies biofilms are evolutionary individuals : 10126–10132 2015). Against this view, I defend the conservative consensus that selection acts primarily upon microbial cells.

Scanlon’s Being Realistic about Reasons (BRR) is a beautiful book – sleek, sophisticated, and programmatic. One of its key aims is to demystify knowledge of normative and mathematical truths. In this article, I develop an epistemological problem that Scanlon fails to explicitly address. I argue that his “metaphysical pluralism” can be understood as a response to that problem. However, it resolves the problem only if it undercuts the objectivity of normative and mathematical inquiry.

Mechanistic philosophy of science views a large part of scientific activity as engaged in modelling mechanisms. While science textbooks tend to offer qualitative models of mechanisms, there is increasing demand for models from which one can draw quantitative predictions and explanations. Casini et al. (Theoria 26(1):5–33, 2011) put forward the Recursive Bayesian Networks (RBN) formalism as well suited to this end. The RBN formalism is an extension of the standard Bayesian net formalism, an extension that allows for modelling the hierarchical (...) nature of mechanisms. Like the standard Bayesian net formalism, it models causal relationships using directed acyclic graphs. Given this appeal to acyclicity, causal cycles pose a prima facie problem for the RBN approach. This paper argues that the problem is a significant one given the ubiquity of causal cycles in mechanisms, but that the problem can be solved by combining two sorts of solution strategy in a judicious way. (shrink)

The West has long had an ambivalent attitude toward the philosophical traditions of the East. Voltaire claimed that the East is the civilization "to which the West owes everything", yet C.S. Peirce was contemptuous of the "monstrous mysticism of the East". And despite the current trend toward globalizations, there is still a reluctance to take seriously the intellectual inheritance of South and East Asia. Oriental Enlightenment challenges this Eurocentric prejudice. J. J. Clarke examines the role played by the ideas (...) of Confucianism, Hinduism, Buddhism and Taoism in the intellectual life of the West and how these ideas, far more than exotic distractions, or even instruments of colonial domination, have been the means towards serious self-questioning and self-renewal, used to dispute and even to undermine Western orthodoxies. (shrink)

Descartes is possibly the most famous of all writers on the mind, but his theory of mind has been almost universally misunderstood, because his philosophy has not been seen in the context of his scientific work. Desmond Clarke offers a radical and convincing rereading, undoing the received perception of Descartes as the chief defender of mind/body dualism. For Clarke, the key is to interpret his philosophical efforts as an attempt to reconcile his scientific pursuits with the theologically orthodox (...) views of his time. (shrink)

This book analyses the concept of scientific explanation developed by French disciples of Descartes in the period 1660-1700. Clarke examines the views of authors such as Malebranche and Rohault, as well as those of less well-known authors such as Cordemoy, Gadroys, Poisson and R'egis. These Cartesian natural philosophers developed an understanding of scientific explanation as necessarily hypothetical, and, while they contributed little to new scientific discoveries, they made a lasting contribution to our concept of explanation--generations of scientists in subsequent (...) centuries followed their lead. (shrink)

Recent years have witnessed an escalation in corporate social reporting (CSR) by UK companies (Gray, Kouhy and Lavers 1995). Whilst some elements of CSR reporting are required by law, much of it represents voluntary reporting. By investigating the non‐mandatory reporting of two aspects of social responsibility, corporate community involvement (CCI) and environmental impact, this paper seeks to explore why companies choose to make such disclosures. It specifically asks whether companies are primarily motivated by the strategic need to manage their reputation (...) and legitimacy rather than by the recognition of their ethical accountability, which is the stated purpose of reports produced by cutting edge companies (Clarke 1998). (shrink)

A few decades ago, there was a lively debate on the problem of overpopulation. Various proposals to limit population growth and to control fertility were made and debated both in academia and in th...

We humans can enhance some of our mental and physical abilities above the normal upper limits for our species with the use of particular drug therapies and medical procedures. We will be able to enhance many more of our abilities in more ways in the near future. Some commentators have welcomed the prospect of wide use of human enhancement technologies, while others have viewed it with alarm, and have made clear that they find human enhancement morally objectionable. The Ethics of (...) Human Enhancement examines whether the reactions can be supported by articulated philosophical reasoning, or perhaps explained in terms of psychological influences on moral reasoning. An international team of ethicists refresh the debate with new ideas and arguments, making connections with scientific research and with related issues in moral philosophy. (shrink)

An international team of ethicists refresh the debate about human enhancement by examining whether resistance to the use of technology to enhance our mental and physical capabilities can be supported by articulated philosophical reasoning, or explained away, e.g. in terms of psychological influences on moral reasoning.

John Dupr argues that 'scientific imperialism' can result in 'misguided' science being considered acceptable. 'Misguided' is an explicitly normative term and the use of the pejorative 'imperialistic' is implicitly normative. However, Dupr has not justified the normative dimension of his critique. We identify two ways in which it might be justified. It might be justified if colonisation prevents a discipline from progressing in ways that it might otherwise progress. It might also be justified if colonisation prevents the expression of important (...) values in the colonised discipline. This second concern seems most pressing in the human sciences. (shrink)

The dominance in normal awareness of visual percepts, which are linked to space, obscures the fact that most thoughts are non-spatial. It is argued that the mind is intrinsically non-spatial, though in perception can become compresent with spatial things derived from outside the mind. The assumption that the brain is entirely spatial is also challenged, on the grounds that there is a perfectly good place for the non-spatial in physics. A quantum logic approach to physics, which takes non-locality as its (...) starting point, offers a non-reductive way of reconciling the experience of mind with the world description of physics. For further progress it is necessary to place mind first as the key aspect of the universe. (shrink)

In the highly contentious abortion arena, the new oral abortifacient technology RU486 is one among many actors. This article offers an arena analysis of the heterogeneous constructions of RU486 by various actors, including scientists, pharmaceutical compa nies, medical groups, antiabortion groups, women's health movement groups, and others who have produced situated knowledges. Conceptually, we find not only that the identity of the nonhuman actor-RU486 -is unstable and multiple but also that, in practice, there are other implicated actors—the downstream users and (...) consumers of the technology. If we try to follow all the actors, we find a fuller and more historicized arena, and, ironically, we too can be construed as implicated actors in it. (shrink)

This paper begins with a simple illustration of the choice between individual and population strategies in population health policy. It describes the traditional approach on which the choice is to be made on the relative merits of the two strategies in each case. It continues by identifying two factors—our knowledge of the consequences of the epidemiological transition and the prevalence of responsibility-sensitive theories of distributive justice—that may distort our moral intuitions when we deliberate about the choice of appropriate risk-management strategies (...) in population health. It argues that the confluence of these two factors may lead us to place too much emphasis on personal responsibility in health policy. (shrink)

Colonization is still present in the lives of Indigenous people in North America, and the threats it underwrites—the possibility of losing federal recognition, the failure to investigate the cases of murdered and missing Indigenous women and girls, and the constant challenges to the Indian Child Welfare Act —comprise the day-to-day demands in Indian Country. While allies in the fight against modern-day colonialism would be welcome, the previous failings and insincerities of putative allies and the existence of an ally industrial complex (...) make it difficult to be a contemporary ally to Indigneous people. In this paper, I address the difficulties associated with allyship and discuss why being an active bystander is not sufficient for the needs of Indigenous people in North America. Taking the lessons learned from the actions of Veterans Stand for Standing Rock and Black Lives Matter during #NODAPL, I present some features of a decolonial ally. A decolonial ally is willing to stand in a relationship with Indigenous people, will seek out this relation while recognizing their privilege and affirming the sovereignty of those they seek to serve, and above all, will learn about the people independently, without imposing a burden on marginalized communities. Given that Indigenous people worldwide face similar colonial threats, I conclude by offering some points for future research regarding global Indigenous allyship. (shrink)

Huck Finn’s struggles with his conscience, as depicted in Mark Twain’s famous novelThe Adventures of Huckleberry Finn(AHF) (1884), have been much discussed by philosophers; and various philosophical lessons have been extracted from Twain’s depiction of those struggles. Two of these philosophers stand out, in terms of influence: Jonathan Bennett and Nomy Arpaly. Here I argue that the lessons that Bennett and Arpaly draw are not supported by a careful reading of AHF. This becomes particularly apparent when we consider the final (...) part of the book, commonly referred to, by literary scholars, as ‘the evasion’. During the evasion Huck behaves in ways that are extremely difficult to reconcile with the interpretations of AHF offered by Bennett and Arpaly. I extract a different philosophical lesson from AHF than either Bennett or Arpaly, which makes sense of the presence of the evasion in AHF. This lesson concerns the importance of conscious moral deliberation for moral guidance and for overcoming wrongful moral assumptions. I rely on an interpretation of AHF that is influential in literary scholarship. On it the evasion is understood as an allegory about US race relations during the 20-year period from the end of the US Civil War to the publication of AHF. (shrink)

In The Racial Contract, Charles Mills introduces the notion of an ‘inverted epistemology,’ an epistemology that construes social and racial ignorance as knowledge (p.18). As Mills points out, such ignorance can be used to oppress people by creating alternate realities or ‘white mythologies’ about race (p. 19). If the racial contract results in a society that oppresses people of color and supports white supremacy, then the question of how to correct an inverted epistemology becomes critical. Mills proposes the correction of (...) history and the racist thinking underwriting it as a solution to the problem. Others, like Alison Bailey, seek to confront racial ignorance with active resistance by suggesting that individuals from historically marginalized groups exploit what members of dominant society don’t know (p. 77). While Bailey’s solution, referred to as strategic ignorance, may originate from good intentions, I argue that it is in general inappropriate for Indigenous people. Strategic ignorance is a product of the Western worldview, and it privileges Western values. In fact, both solutions offered by Mills and Bailey fail to consider Indigenous values. Mills’ proposed solution, however, is less objectionable. Instead of either solution, a more suitable form of resistance – one that embraces connectedness, balance, and harmony – would be ideal for the Indigenous communities of Turtle Island. (shrink)

These are the Aquinas Lectures for 1993 given at Marquette University by Jesuit priest W. Norris Clarke. There is an Introduction, two main sections, and ten chapters, including "The Meaning of Person" and "The Problem of Evil".

Implication barrier theses deny that one can derive sentences of one type from sentences of another. Hume’s Law is an implication barrier thesis; it denies that one can derive an ‘ought’ (a normative sentence) from an ‘is’ (a descriptive sentence). Though Hume’s Law is controversial, some barrier theses are philosophical platitudes; in his Lectures on Logical Atomism, Bertrand Russell claims: You can never arrive at a general proposition by inference particular propositions alone. You will always have to have at least (...) one general proposition in your premises. (Russell, 1918, p. 206) We will refer to this claim—that one cannot derive general sentences from particular sentences—as Russell’s Law.1 A third barrier thesis claims that one cannot derive sentences about the future from sentences about the past or present. Hume’s endorsement of this barrier thesis is well-known: all inferences from experience suppose, as their foundation, that the future will resemble the past . . . if there be any suspicion that the course of nature may change, and that the past may be no rule for the future, all experience becomes useless, and can give rise to no inference or conclusion. It is impossible, therefore, that any argument from experience can prove this resemblance of the past to the future; since all these arguments are founded on the supposition of that resemblance. (Hume, EHU 4.21/37) We will refer to this barrier thesis as Hume’s Second Law. A fourth barrier thesis says that one cannot derive a necessary sentence from one about the actual world and we will refer to this last thesis Kant’s Law. Such implication barrier theses present a problem. (shrink)

Assuming AD + DC, we characterize the self-dual boldface pointclasses which are strictly larger than the pointclasses contained in them: these are exactly the clopen sets, the collections of all sets of Wadge rank [Formula: see text], and those of Wadge rank [Formula: see text] when ξ is limit.