This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is (...) of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures. (shrink)

Both syntactic and semantic solutions are given for the entailment problem of duality theory. The test algebra theorem provides both a syntactic solution to the entailment problem in terms of primitive positive formulae and a new derivation of the corresponding result in clone theory, viz. the syntactic description of $\operatorname{Inv(Pol}(R))$ for a given set R of finitary relations on a finite set. The semantic solution to the entailment problem follows from the syntactic one, or can be given in the form (...) of an algorithm. It shows, in the special case of a purely relational type, that duality-theoretic entailment is describable in terms of five constructs, namely trivial relations, intersection, repetition removal, product, and retractive projection. All except the last are concrete, in the sense that they are described by a quantifier-free formula. It is proved that if the finite algebra $\underline{M}$ generates a congruence-distributive variety and all subalgebras of $\underline{M}$ are subdirectly irreducible, then concrete constructs suffice to describe entailment. The concept of entailment appropriate to strong dualities is also introduced, and described in terms of coordinate projections, restriction of domains, and composition of partial functions. (shrink)

The techniques of natural duality theory are applied to certain finitely generated varieties of Heyting algebras to obtain optimal dualities for these varieties, and thereby to address algebraic questions about them. In particular, a complete characterisation is given of the endodualisable finite subdirectly irreducible Heyting algebras. The procedures involved rely heavily on Priestley duality for Heyting algebras.

The paper investigates completions in the context of finitely generated lattice-based varieties of algebras. In particular the structure of canonical extensions in such a variety $${\mathcal {A}}$$ is explored, and the role of the natural extension in providing a realisation of the canonical extension is discussed. The completions considered are Boolean topological algebras with respect to the interval topology, and consequences of this feature for their structure are revealed. In addition, we call on recent results from duality theory to show (...) that topological and discrete dualities for $${\mathcal {A}}$$ exist in partnership. (shrink)

The conflicting positions of the two early eleventh century Yogācāra scholars, Ratnākaraśānti and his critic Jñānaśrīmitra, concerning whether or not consciousness can exist without content are inseparable from their respective understandings of enlightenment. Ratnākaraśānti argues that consciousness can be contentless —and that, for a buddha, it must be. Mental content can be defeated by reasoning and made to disappear by meditative cultivation, and so it is fundamentally distinct from the nature of consciousness, which is never defeated and never ceases. That (...) mental content is thus separable from the nature of consciousness is unimaginable to Jñānaśrīmitra, who argues that all mental content cannot be so defeated, nor can it disappear completely, and who concludes that Ratnākaraśānti’s commitment to this idea can be based on nothing but faith. Contra Jñānaśrīmitra, I will suggest that Ratnākaraśānti’s view is based not only on faith, but is also driven by a certain theory of buddhahood, the implications of which he is committed to working out. Because Ratnākaraśānti’s theory of buddhahood is developed in part in his tantric work, our understanding of his position benefits from our reading it in this context, wherein buddhahood and the most effective techniques for attaining it are explored. (shrink)

This paper considers Jñānaśrīmitra’s defense of manifestation as the criterion of ultimate existence. In the first section, "Asatkhyāti and Adhyavasāya: making sense of manifestation as the criterion of the real", I show the way that, in response to Ratnākaraśānti’s Nirākāravāda, Jñānaśrīmitra argues for a sharp distinction between manifestation and determination in an effort to establish that the manifestation of something unreal is incoherent. The unreal, he thinks, is only ever determined; it is never manifest to consciousness, properly speaking. In the (...) second section, “To be manifest is to be locked away in a single awareness-event”, I turn to one of the consequences of this view that Jñānaśrīmitra embraces: what manifests is only what appears in a single moment of conscious awareness. In the third section, “The scope of neither-one-nor-many: Jñānaśrīmitra’s Interpretation of PV 3.220–221”, I consider one of the problems this raises: how is it that an appearance with mutually opposed parts manifests in one and the same unitary moment of awareness? Jñānaśrīmitra solves this problem by appealing to the nature of manifestation and its distinction from determination: what is manifest, even if it is variegated, is nondual and indivisible; distinctions arise only on the basis of determination. I trace the details of this solution in the context of his discussion of an important pair of verses from Dharmakīrti. Finally, in the last section, “The marvelous nonduality of variegated awareness-events”, I turn to the surprising buddhological consequences of this solution. (shrink)

Abstract:Ratnākaraśānti (ca. 970–1040) holds three conflicting positions: luminosity (prakāśa) is the ultimately real nature of consciousness; luminosity and appearances (ākāras) are identical; and appearances are false (alīka) because they are targeted by the neither-one-nor-many argument. But why is luminosity not false, too, given its identity with appearances? In response to this worry, Ratnākaraśānti develops a notion of identity (tādātmya) that lets him claim that, although luminosity and appearance are composed of the same stuff, they are not identical in every respect. (...) On the basis of this, he limits the scope of the neither-one-nor-many argument such that it targets appearances but not luminosity. Other philosophers (and possibly Ratnākaraśānti himself) then further limit the argument's scope, showing that it also does not target experiences of pleasure (sukha) and, crucially for their buddhology, the innate bliss (sahajānanda) that characterizes the experience of buddhahood. (shrink)

This article aims to read feminist new materialisms (Barad), together with ‘postulated’ linguistic or cultural primacy of Queer Theory (Butler), to show how both are engaged in similar critical-ethical endeavours. The central argument is that the criticism of Barad and new materialisms misses Butler’s materialistic insights due to a narrow interpretation of Butler's alleged social-constructivist position. There is, therefore, a specific focus on where they both make similar ethical appeals. Moreover, the article relies on Adorno's negative dialectic to highlight an (...) interpretation of Barad and Butler as being part of the same dialectical movement, in which materialism and idealism fluctuate in their mutual criticisms, thus continuing the procession towards 'new knowledge' and emancipation, or freedom, through their motions back and forth. (shrink)

This is a study of the nature of time. In it, redeploying an argument first presented by McTaggart, the author argues that although time itself is real, tense is not. He accounts for the appearance of the reality of tense - our sense of the passage of time, and the fact that our experience occurs in the present - by showing how time is indispensable as a condition of action. Time itself is further analysed, and Dr Mellor gives answers to (...) most of the metaphysical questions it provokes, concerning the relation of time to space, the dissection of time, and its relation to change and causation. (shrink)

"First published by Oxford University Press, 1916."--Title page verso.

The present book is true to its title. A collection of articles that stems from a symposium of the same name at the University of Hamburg in 2017, the authors here bring different perspectives to bear on the philosophical and historical relations between Buddhism and scepticism. Though this is relatively well-trodden ground, the insightful studies here shed new light on the matter. We find historical studies of the possible links between Pyrrhonism and Buddhism ; a defense of Nāgārjuna's philosophical scepticism (...) as of the Pyrrhonian variety ; considerations of the role of sceptical doubt in less expected places, such as in Dharmakīrti's and Vasubandhu's... (shrink)

This book explores Dostoevsky as a political thinker from his religious and philosophical foundation to nineteenth-century European politics and how themes that he had examined are still relevant for us today.

"Using hundreds of examples from newsrooms large and small, author Ron F. Smith challenges readers to determine how they would face moral dilemmas on the job. Chapters evaluate the search for principles, accountability, truth and objectivity, errors and corrections, diversity, "faking" the news, reporters and their sources, privacy, the government watch, deception, compassion, the business of news, journalists and their communities, and financial concerns. New to this edition: a chapter on improving coverage of minorities, expanded discussion of broadcast journalism and (...) reporting on the Internet, and stories from recent front pages and TV news programs."--BOOK JACKET.Title Summary field provided by Blackwell North America, Inc. All Rights Reserved. (shrink)

BackgroundOne of the next frontiers in HIV research is focused on finding a cure. A new priority includes people with HIV (PWH) with non-AIDS terminal illnesses who are willing to donate their bodies at the end-of-life (EOL) to advance the search towards an HIV cure. We endeavored to understand perceptions of this research and to identify ethical and practical considerations relevant to implementing it.MethodsWe conducted 20 in-depth interviews and 3 virtual focus groups among four types of key stakeholders in the (...) United States (PWH, biomedical HIV cure researchers, HIV clinicians, and bioethicists) to obtain triangulated viewpoints because little was known about the ethics of this topic. Each group was queried as to ethical considerations, safeguards, and protections for conducting HIV cure-related research at the EOL to ensure this research remains acceptable.ResultsAll four key stakeholder groups generally supported HIV cure-related research conducted at the EOL because of the history of altruism within the PWH community and the potential for substantial scientific knowledge to be gained. Our informants expressed that: (1) Strong stakeholder and community involvement are integral to the ethical and effective implementation, as well as the social acceptability of this research; (2) PWH approaching the EOL should not inherently be considered a vulnerable class and their autonomy must be respected when choosing to participate in HIV cure-related research at the EOL; (3) Greater diversity among study participants, as well as multi-disciplinary research teams, is necessitated by HIV cure-related research at the EOL; (4) The sensitive nature of this research warrants robust oversight to ensure a favorable risk/benefit balance and to minimize the possibility of therapeutic misconception or undue influence; and (5) Research protocols should remain flexible to accommodate participants’ comfort and needs at the EOL.ConclusionBecause of the ethical issues presented by HIV cure-related research at the EOL, robust ethical safeguards are of utmost importance. The proposed ethical and practical considerations presented herein is a first step in determining the best way to maximize this research’s impact and social value. More much inquiry will need to be directed towards understanding context-specific and cultural considerations for implementing EOL HIV cure research in diverse settings. (shrink)

Le temps est un grand maître en médecine. Il fait évoluer la maladie, le malade et sa relation avec le médecin. Il revient à ce dernier d'en prendre la mesure pour la maîtriser et l'exploiter plutôt que de s'en laisser dominer. C'est ce que l'auteur fait approcher par petites touches au fil d'une cinquantaine de réflexions puisées dans son expérience et ses lectures, alimentés de données parfois dérangeantes. Elles doivent aider à gérer une denrée précieuse, d'une manière simple, mais qui (...) ne va pas toujours de soi et peut contredire un bon sens élémentaire. Il en va de la qualité d'une pratique médicale et des satisfactions que patients comme soignants peuvent en retirer, en choisissant plutôt qu'en subissant. (shrink)

According to the orthodox treatment of risk preferences in decision theory, they are to be explained in terms of the agent's desires about concrete outcomes. The orthodoxy has been criticised both for conflating two types of attitudes and for committing agents to attitudes that do not seem rationally required. To avoid these problems, it has been suggested that an agent's attitudes to risk should be captured by a risk function that is independent of her utility and probability functions. The main (...) problem with that approach is that it suggests that attitudes to risk are wholly distinct from people's (non-instrumental) desires. To overcome this problem, we develop a framework where an agent's utility function is defined over chance propositions (i.e., propositions describing objective probability distributions) as well as ordinary (non-chance) ones, and argue that one should explain different risk attitudes in terms of different forms of the utility function over such propositions. (shrink)

The book challenges the values of much of contemporary bioethics and health care policy by confronting their failure to secure the moral norms they seek to apply.

Recent studies of spider phobia have indicated thatfearof spiders is closely associated with the disease-avoidance response of disgust. It is argued that the disgust-relevant status of the spider resulted from its association with disease and illness in European cultures from the tenth century onward. The development of the association between spiders and illness appears to be linked to the many devastating and inexplicable epidemics that struck Europe from the Middle Ages onwards, when the spider was a suitable displaced target for (...) the anxieties caused by these epidemics. Such factors suggest that the pervasive fear of spiders that is commonly found in many Western societies may have cultural rather than biological origins, and may be restricted to Europeans and their descendants. (shrink)

Ambitious targets to reduce greenhouse gas emissions from agriculture have been set by both national governments and their respective livestock sectors. We hypothesize that farmer self-identity influences their assessment of climate change and their willingness to implement measures which address the issue. Perceptions of climate change were determined from 286 beef/sheep farmers and evaluated using principal component analysis. The analysis elicits two components which evaluate identity, and two components which evaluate behavioral capacity to adopt mitigation and adaptation measures. Subsequent Cluster (...) Analyses reveal four farmer types based on the PCA scores. ‘The Productivist’ and ‘The Countryside Steward’ portray low levels of awareness of climate change, but differ in their motivation to adopt pro-environmental behavior. Conversely, both ‘The Environmentalist’ and ‘The Dejected’ score higher in their awareness of the issue. In addition, ‘The Dejected’ holds a high sense of perceived risk; however, their awareness is not conflated with an explicit understanding of agricultural GHG sources. With the exception of ‘The Environmentalist’, there is an evident disconnect between perceptions of agricultural emission sources and their contribution towards GHG emissions amongst all types. If such linkages are not conceptualized, it is unlikely that behavioral capacities will be realized. Effective communication channels which encourage action should target farmers based on the groupings depicted. Therefore, understanding farmer types through the constructs used in this study can facilitate effective and tailored policy development and implementation. (shrink)

Provability, Computability and Reflection.

Rapid Ethical Assessment (REA) is a form of rapid ethnographic assessment conducted at the beginning of research project to guide the consent process with the objective of reconciling universal ethical guidance with specific research contexts. The current study is conducted to assess the perceived relevance of introducing REA as a mainstream tool in Ethiopia.

This paper argues that proper functions are proximal functions. In other words, it rejects the notion that there are distal biological functions – strictly speaking, distal functions are not functions at all, but simply beneficial effects normally associated with a trait performing its function. Once we rule out distal functions, two further positions become available: dysfunctions are simply failures of proper function, and pathological conditions are dysfunctions. Although elegant and seemingly intuitive, this simple view has had surprisingly little uptake in (...) the literature. Indeed, our position departs from that of almost every theorist who has engaged with the issue at any depth. We start by presenting three arguments for the position that proper functions are proximal: one from the specificity of functions, one from their relation to intervention, and one from their relation to pathology. We then consider two case studies evidencing the trouble that accepting distal functions causes for philosophical reflection on the nature of pathological conditions. Finally, we anticipate and respond to three objections: that there can be failure of function without dysfunction; that our account is unacceptably revisionary in respect of normal function-talk; and that our thesis over-generalises from a narrow set of cases. (shrink)

According to a standard view of the second law of thermodynamics, our belief in the second law can be justified by pointing out that low-entropy macrostates are less probable than high-entropy macrostates, and then noting that a system in an improbable state will tend to evolve toward a more probable state. I would like to argue that this justification of the second law is unhelpful at best and wrong at worst, and will argue that certain puzzles sometimes associated with the (...) second law are merely artifacts of this questionable justification. *Received October 2006; revised October 2007. †To contact the author, please write to: Department of Philosophy, University of Chicago, 1115 E. 58th St., Chicago, IL 60637; e-mail: [email protected]. (shrink)

Metaphysics -- Bacon -- Locke -- Kant -- Comte -- Logical positivism -- Russell -- Analysis -- Quine and science -- Wittgenstein.

Multi-volume work with 4 of the 5 volumes published. -/- -- 1. Medieval Authors (in two books) -- 2. Renaissance authors -- 3. Index initorum-index finium -- 5. Bibliography of secondary literature.

This is the first complete, one-volume English translation of the ancient Chinese text Xunzi, one of the most extensive, sophisticated, and elegant works in the tradition of Confucian thought. Through essays, poetry, dialogues, and anecdotes, the Xunzi articulates a Confucian perspective on ethics, politics, warfare, language, psychology, human nature, ritual, and music, among other topics. Aimed at general readers and students of Chinese thought, Eric Hutton’s translation makes the full text of this important work more accessible in English than ever (...) before. Named for its purported author, the Xunzi has long been neglected compared to works such as the Analects of Confucius and the Mencius. Yet interest in the Xunzi has grown in recent decades, and the text presents a much more systematic vision of the Confucian ideal than the fragmented sayings of Confucius and Mencius. In one famous, explicit contrast to them, the Xunzi argues that human nature is bad. However, it also allows that people can become good through rituals and institutions established by earlier sages. Indeed, the main purpose of the Xunzi is to urge people to become as good as possible, both for their own sakes and for the sake of peace and order in the world. In this edition, key terms are consistently translated to aid understanding and line numbers are provided for easy reference. Other features include a concise introduction, a timeline of early Chinese history, a list of important names and terms, cross-references, brief explanatory notes, a bibliography, and an index. (shrink)