In this paper we present an equivalence between the category of commutative regular rings and the category of Boolean-valued fields, i.e., Boolean-valued sets for which the field axioms are true. The author used this equivalence in [12] to develop a Galois theory for commutative regular rings. Here we apply the equivalence to give an alternative construction of an algebraic closure for any commutative regular ring.Boolean-valued sets were developed in 1965 by Scott and Solovay [10] to simplify independence proofs in set (...) theory. They later were applied by Takeuti [13] to obtain results on Hilbert and Banach spaces. Ellentuck [3] and Weispfenning [14] considered Boolean-valued rings which consisted of rings and associated Boolean-valued relations. To the author's knowledge, the present work is the first to employ the Boolean-valued sets of Scott and Solovay to obtain results in algebra.The idea that commutative regular rings can be studied by examining the properties of related fields is not new. For several years algebraists and logicians have investigated commutative regular rings by representing a commutative regular ring as a subdirect product of fields or as the ring of global sections of a sheaf of fields over a Boolean space. These representations depend, as does the work presented here, on the fact that the set of central idempotents of any ring with identity forms a Boolean algebra. The advantage of the Boolean-valued set approach is that the axioms of classical logic and set theory are true in the Boolean universe. Therefore, if the axioms for a field are true for a Boolean-valued set, then other properties of the set can be deduced immediately from field theory. (shrink)

As leadership discourses in higher education are increasingly being mediated online, texts previously reserved for staff are now being made available in the public domain. As such, these texts become accessible for study, critique and evaluation. Additionally, discourses previously confined to the written domain are now increasingly multimodal. Thus, an approach is required that is capable of relating detailed, complex multimodal discourse analyses to broader sociocultural perspectives to account for the complex meaning-making practices that operate in online leadership discourses. For (...) this purpose, a digital multimodal discourse approach is proposed and illustrated via a small-scale case study of the online leadership discourse of an Australian university. The analysis of two short video texts demonstrates how a digital multimodal discourse perspective facilitates the identification of key multimodal systems used for meaning-making in online communication, how meaning arises through combinations of semiotic choices, and how the results of multimodal discourse analysis using digital technology can reveal larger sociocultural patterns – in this case, divergent leadership styles and approaches as reflected in online discourse, at a time of immense change within the higher education sector. (shrink)

This work is comprised of personal essays by some of the most noted Holocaust educators working in or with Holocaust museums, resource centers, or educational organizations across the globe.

Launched in 1920 by C K Ogden and others as the successor to the Cambridge Magazine , Psyche occupied a unique place for over 30 years as a journal of general and linguistic psychology. Committed from the outset to keeping readers abreast of developments in the burgeoning fields of experimental, theoretical, and applied psychology, Psyche provided not only systematic reporting in these domains but set itself the task of stimulating research of high quality by the critical thrust of its editorial (...) stance. In addition to full-length articles, Psyche featured lively correspondence and discussion, a regular chronicle of research in the US and on the continent, a comprehensive survey of current literature, and regular reports from the meetings and congresses of associations and societies. I A Richards, E J Dingwall and Whately Smith were among those who added their regular contributions to editorials and features by C K Ogden. (shrink)

This chapter contains sections titled: “I started when there was no such thing as traditional” “Simple is Good”:10 An Affirmation of Authenticity Notes.

Biobanks are proliferating rapidly worldwide because they are powerful tools and organisational structures for undertaking medical research. By linking samples to data on the health of individuals, it is anticipated that biobanks will be used to explore the relationship between genes, environment and lifestyle for many diseases, as well as the potential of individually-tailored drug treatments based on genetic predisposition. However, they also raise considerable challenges for existing legal frameworks and research governance structures. This book critically examines the current governance (...) structures in place for biobanks in England and Wales. It shows that the technologies, techniques and practices involved in biobanking do not always conform neatly to existing legal principles and frameworks that apply to other areas of medical research. Using a socio-legal approach, including interview data gathered from the scientific community, this book provides unique insights and makes recommendations about appropriate governance mechanisms for biobanking in the future. It also explores the issues around the secondary use of information, such as consent and how to protect privacy, when biobanks are accessed by a number of different third parties. These issues have relevance both within England and Wales and to a wide international audience, as well as for other areas where large datasets are used.--Back cover. (shrink)

This publication is an appreciation of the natural philosophy and epistemology of the philosopher Grete (Henry-)Hermann. A student of the mathematician Emmy Noether and the philosopher Leonard Nelson, she was one of the early interpreters of quantum mechanics. Werner Heisenberg memorialized her in his book "The Part and the Whole". For the first time, her writings on natural philosophy and epistemology are collected in one volume. An extensive introduction by various authors introduces the work of Grete Henry-Hermann. This edition is (...) supplemented by excerpts from correspondence on natural philosophical and epistemological topics, including correspondence with Carl Friedrich von Weizsäcker, Werner Heisenberg, and Gustav Heckmann. Contents ● Grete Henry-Hermann's contribution to the interpretation of quantum mechanics ● Grete Henry-Hermann's work on the relationship between modern physics and transcendental philosophy ● Grete Hermann's dissertation: The Question of the Finitely Many Steps in the Theory of Polynomial Ideals (1925) ● Discussions on the question of free will and the significance of behavioral research for the critique of reason ● Excerpts from correspondence from 1925 to 1982. (shrink)

According to the scientific ideal of modernity, the propositions of science are considered fundamentally fallible. On the other hand, science strives for objective knowledge. Kant saw in the apriori the precondition for objective knowledge. But with the new conception of science the apriori (if it is not to be only logic) has become problematic. With it, however, the objectivity of scientific knowledge is at stake. As long as one grants objectivity to scientific knowledge, the question of the apriori remains topical. (...) On the one hand, this volume wants to trace the historical roots as well as the different interpretations of the apriori, and on the other hand, it wants to ask for approaches for a contemporary reinterpretation of this basic concept. (shrink)

In this fast-paced, enlightening guide, Sharon M. Kaye takes us on a whistle-stop tour of medieval philosophy, revealing its astounding legacy to the discipline today.

The Problem of Perception offers two arguments against direct realism--one concerning illusion, and one concerning hallucination--that no current theory of ...

This book is a groundbreaking history of balance, exploring how a new model of equilibrium emerged during the medieval period.

Quentin Smith offers powerful arguments against the New Theory of Reference propounded by leading thhinkers in the philosophy of language. Smith defends the tensed theory of time and argues that the simultaneity is absoltue, basing this position on the theory that all propositions exist in time. Using detailed propostitions and a theory of cognitive significance, he introduces an alternative interpretation of reference that will be relevant to metaphysicians, philosophers of science and philosophers of language and may come to (...) be recognised as the definitive statement on the tensed theory of time. (shrink)

Of all the major philosophical works, Kant's Critique of Pure Reason is one of the most rewarding, yet one of the most difficult. Norman Kemp Smith's Commentary elucidates not only textural questions and minor issues, but also the central problems which arise, he contends, from the conflicting tendencies of Kant's own thinking. Kemp Smith's Commentary continues to be in demand with Kant scholars, and it is being reissued here with a new introduction by Sebastian Gardner to set it (...) in its contemporary context. (shrink)

WE must first state the subject of our inquiry and the faculty to which it belongs: its subject is demonstration and the faculty that carries it out demonstrative science.

This title presents a comprehensive guide to interpretative phenomenological analysis (IPA) which is an increasingly popular approach to qualitative inquiry taught to undergraduate and postgraduate students today.

This paper starts by investigating Ackermann's interpretation of finite set theory in the natural numbers. We give a formal version of this interpretation from Peano arithmetic (PA) to Zermelo-Fraenkel set theory with the infinity axiom negated (ZF−inf) and provide an inverse interpretation going the other way. In particular, we emphasize the precise axiomatization of our set theory that is required and point out the necessity of the axiom of transitive containment or (equivalently) the axiom scheme of ∈-induction. This clarifies the (...) nature of the equivalence of PA and ZF−inf and corrects some errors in the literature. We also survey the restrictions of the Ackermann interpretation and its inverse to subsystems of PA and ZF−inf, where full induction, replacement, or separation is not assumed. The paper concludes with a discussion on the problems one faces when the totality of exponentiation fails, or when the existence of unordered pairs or power sets is not guaranteed. (shrink)

The doctrine of double effect, together with other moral principles that appeal to the intentions of moral agents, has come under attack from many directions in recent years, as have a variety of rationales that have been given in favor of it. In this paper, our aim is to develop, defend, and provide a new theoretical rationale for a secular version of the doctrine. Following Quinn (1989), we distinguish between Harmful Direct Agency and Harmful Indirect Agency. We propose the following (...) version of the doctrine: that in cases in which harm must come to some in order to achieve a good (and is the least costly of possible harms necessary), the agent foresees the harm, and all other things are equal, a stronger case is needed to justify Harmful Direct Agency than to justify Harmful Indirect Agency. We distinguish between two Kantian rationales that might be given for the doctrine, a “dependent right” rationale, defended by Quinn, and an “independent right” rationale, which we defend. We argue that the doctrine and the “independent right” rationale for it are not vulnerable to counterexamples or counterproposals, and conclude by drawing implications for the larger debate over whether agents' intentions are in any way relevant to permissibility and obligation. (shrink)

Sociology and Animals : Beginnings -- Animals and Biology as Destiny -- Animals, Social Inequalities and Oppression -- Animals, Crime and Abuse -- Town and Country : Animals, Space and Place -- Consumption of the Animal -- Animals, Leisure and Culture -- Animal Experiments and Animal Rights -- Conclusion: Sociology for Other Animals.

Critical Qualitative Health Research seeks to deepen understandings of the philosophies, politics and practices shaping contemporary qualitative health related research. This accessible, lively, controversial introduction draws on current empirical examples and critical discussion to show how qualitative research undertaken in neoliberal healthcare contexts emerges and the complex issues qualitative researchers confront. This book provides readers with a critical, interrogative discussion of the histories and the legacies of qualitative research, as well as of the more recent calls for renewed criticality in (...) research to respond to global health concerns. Contributions further showcase a range of contemporary work engaging with these issues and the complex encounters with philosophies, politics and practices this involves; from seeking explicit engagements with posthuman ideas or detailed explorations of deeply engaged humanist approaches, to critical discussions of the politics and practices of emerging novel, digital and creative methods. This book offers postgraduate researchers, health researchers and students alike opportunities to engage more deeply with the emergent, complex and messy terrain of qualitative health related research. (shrink)

Each book in the series includes six 40-minute studies designed to draw you into God’s Word through basic inductive Bible study.

This pioneering study is one of the first English-language books to address Jewish theology from a postmodern perspective, probing the question of how it has the potential to survive the postmodern onslaught that some see as heralding the collapse of religion. Basing her arguments on both philosophical and theological scholarship, the author shows how postmodernism might actually be a resource for rejuvenating religion. Her response to the conception of theology and postmodernism as competing systems of thought is based on a (...) close critical study of Rav Shagar (Shimon Gershon Rosenberg) and Tamar Ross. She analyzes their writings through the lens of the most radical continental postmodern philosophers and cultural critics in order to offer a compelling theology compatible with their world-view. Whether the reader considers postmodernism to be inherently problematic or merely inconsequential, this study demonstrates why reconsidering these preconceptions is one of the most pressing issues in contemporary Jewish thought. (shrink)

This book develops and defends a new understanding of Kant's account of perceptual representation, showing that it underlies the main doctrines of the Critique of Pure Reason. Intuitions consist of formal unifications by the schematized categories that projectively represent both time and external objects and enable synthetic a priori knowledge.

Disillusioned with college, Everett takes a position teaching philosophy to kids at an innovative summer enrichment academy on an island off the New England coast. The academy is run by fellow student Juniper’s Aunt Laura, and at Laura’s recommendation, Everett uses as his curriculum an exploration of the concept of happiness as described by ten of history’s most significant philosophers. This idea is sparked by a collection of readings saved by Laura’s grandmother, a teacher who originally owned the mansion in (...) which the academy is housed. But along with those readings is a set of clues that lead to a rare historic work by an ancient Greek philosopher—a codex—that is hidden in the mansion. So Everett sets to work preparing the readings for his students while simultaneously solving the clues with Juniper to find the codex. -/- What Everett doesn’t know, however, is that he and Juniper are not the only ones on the hunt for the codex, and the stakes are high. The book is extremely valuable, and there are plenty of people who would like to get their hands on the money it would bring at auction, including the people who are funding Laura’s academy. The question of rightful ownership and the mystery of the codex’s location deepen as Everett and Juniper solve the riddles to find the keys that will open whatever safe contains the ancient text. And all the while, Everett finds himself falling for Juniper. -/- He’s also working through the collection of philosophical readings about happiness, taking each one in turn and presenting it in clear, concise, modern English to his students, who are eager to discover how to lead a happy life. Everett is equally eager to make the same discovery, and he carefully considers each philosopher’s thinking on the matter, applying the concepts to his own life in an effort to understand them in the context of a young person in the real world struggling to figure out what he wants to do with his future. -/- As Everett gains clarity on what he wants out of life, however, the mystery of the codex takes a dark turn, and everything he thought he knew is turned upside down. Who will end up with the codex? What will happen to the academy? And will Everett be able to take everything that he has learned—both the good and the bad—to build a life for himself that will bring him the most happiness? -/- There is an accompanying guidebook for this novel. (shrink)