This book has been designed specifically to support the student through the IB Diploma Programme in Mathematical Studies. It includes worked examples and numerous opportunities for practice. In addition the book will provide students with features integrated with study and learning approaches, TOK and the IB learner profile. Examples and activities drawn from around the world will encourage students to develop an international perspective.

This book has been designed specifically to support the student through the IB Diploma Programme in Mathematical Studies. It includes worked examples and numerous opportunities for practice. In addition the book will provide students with features integrated with study and learning approaches, TOK and the IB learner profile. Examples and activities drawn from around the world will encourage students to develop an international perspective.

The book comprises an enquiry into what quantum theory shows us about the world. Its aim is to sort out which metaphysical speculations are tenable and which are not. After an initial discussion of realism, the author provides a non-technical exposition of quantum theory and a criticism of the proposal that quantum theory should make us revise our beliefs about logic. He then discusses the various problems and puzzles which make quantum theory both interesting and perplexing. The text defends three (...) markedly different speculations. The first of them, the "determinate particle speculation", is shown to involve both a view which proposes determinate locations and velocities for particles and the opposite. With the "wave speculation" particles are seen as different again: here the professor proposes a radically original view of particles as polywaves. In the final chapter, he compares the competing particle theories and shows that two ostensibly opposing views are in fact compatible. He goes on to discuss the implications of quantum theory for our understanding of persons. The work assumes no prior knowledge of quantum theory and confines the necessary mathematical details to end-notes. (shrink)

Chris Heathwood requires the sentence 'Caesar was conscious when he crossed the Rubicon' to be made true in much the same way as 'Caesar was wet when he crossed the Rubicon'. Yet because the Growing Block theorist is committed to the zombiedom of the past,the former is not made true by past objects, although the latter is. Heathwood demands a uniform account of the grounding of truths and he will be given a uniform account. But we should exercise care in (...) deciding just what sort of uniformity is appropriate. As Russell so famously pointed out a century ago the subject/predicate form of a sentence can be misleading. Likewise although the two sentences 'Caesar is conscious' and 'Caesar is wet' have similar subject/predicate forms they have, I say, different kinds of truth-conditions and hence their past tense transformations also have different kinds of truth-conditions. The uniformity I endorse is that in both cases the grounds for the past tense transformation are the same as the grounds the present tense versions used to have when they were true. (shrink)

This paper concerns the structure of appearances. I argue that to be appeared to in a certain way is to be aware of one or more universals. Universals therefore function like the sense‐data, once highly favoured but now out of fashion. For instance, to be appeared to treely, in a visual way, is to be aware of the complex relation, being tree‐shaped and tree‐coloured and being in front of, a relation of a kind which could be instantiated by a material (...) object and a perceiver, which is thus instantiated in the veridical case but not in the non‐veridical. (shrink)

Background/purpose: Research from other disciplines demonstrates that ethical position, idealism, or relativism predicts ethical decision-making. Individuals from diverse cultures ascribe to various religious beliefs and studies have found that religiosity and culture affect ethical decision-making. Moreover, little literature exists regarding undergraduate nursing students’ ethical position; no studies have been conducted in the United States on students’ ethical position, their self-identified culture, and intrinsic religiosity despite an increase in the diversity of nursing students across the United States. Participants and Research Context (...) Objectives: The study’s two aims were to determine the relationship of self-identified culture, religiosity, and ethics position of undergraduate nursing student and whether students’ level of education and past ethics courses taken related to idealism. Two hundred and twelve volunteer undergraduate students participated. Research design: A descriptive cross-sectional study was designed for participants who completed the Ethical Position Questionnaire, The intrinsic subscale of the Religious Orientation Scale, and a Demographic, Cultural, Ethnicity Form. To test the five hypotheses, analyses included t-tests, correlations, and ANOVA. Ethical Considerations: The study was approved by the Institutional Review Board at Adelphi University. Results: Idealism and intrinsic religiosity were significantly related. Differences were observed for intrinsic religiosity and idealism for cultural identity and cultural dimensions such as parents’ place of birth, and if participants were US born. Students’ level of education or participation in past courses on ethics did not influence idealism. Conclusions: The study’s findings were similar to most of the research from other disciplines on culture, ethics position, and religiosity. Generic courses on ethics taken prior to clinical work may not assist nursing students in integrating principles into complex ethical dilemmas. Self-identified culture, religion, and intrinsic religiosity related to ethics position; completing ethics courses and level of education, juniors compared with seniors, did not influence idealism. Faculty should consider integrating students’ culture, religious orientation, and ethics position into teaching ethics for all levels of nursing education. (shrink)

According to a number of popular intentionalist theories in philosophy of mind, phenomenology is essentially and intrinsically intentional: phenomenal properties are identical to intentional properties of a certain type, or at least, the phenomenal character of an experience necessarily fixes a type of intentional content. These views are attractive, but it is questionable whether the reasons for accepting them generalize from sensory-perceptual experience to other kinds of experience: for example, agentive, moral, aesthetic, or cognitive experience. Meanwhile, a number of philosophers (...) have argued for the existence of a proprietary phenomenology of thought, so-called cognitive phenomenology. There are different ways of understanding the relevant sense of “proprietary,” but on one natural interpretation, phenomenology is proprietary to thought just in case enjoying an experience with that phenomenal character is inseparable from thinking an occurrent, conscious thought. While one may have instances of thought without CP experience, one will never find CP independent of thought. So the former justifiably can be said to “belong to” the latter. The purpose of this paper is to argue that these intentionalist and cognitive phenomenology views make surprisingly uncomfortable bedfellows. I contend that the combination of the two views is incompatible with our best theories of how our concepts are structured. So cognitive phenomenology cannot determine the contents of our thoughts. (shrink)

Armstrong holds the Supervenience Theory of instantiation, namely that the instantiation of universals by particulars supervenes upon what particulars and what universals there are, where supervenience is stipulated to be explanatory or dependent supervenience. I begin by rejecting the Supervenience Theory of instantiation. Having done so it is then tempting to take instantiation as primitive. This has, however, an awkward consequence, undermining one of the main advantages universals have over tropes. So I examine another account hinted at by Armstrong. This (...) is the Operator Theory of instantiation, by which I mean the theory that universals are operators, and that a particular instantiates a monadic universal because the universal operates on the particular, resulting in the state of affairs. On this theory the state of affairs supervenes on the instantiation rather than vice versa. In the second part of the paper I develop this theory of universals as operators, including an account of structural universals, which are useful for accounts of modality and of mathematics. (shrink)

Typical structural universals are not just the mereological sum of their constituents. Hence, there is the Structure Problem of explaining this non-mereological structure. The Instantiation Problem is that the predicate "U is instantiated by x, y, etc., in that order" is ill-suited to be a primitive, unanalyzed predicate. The proposed solution to these problems is based on the observation that if universal U is said to supervene upon universals V, W, etc., then it is the instantiation of U that supervenes (...) on the instantiation of V, W, etc. Assuming there are few subvenient universals, which is admittedly a speculation, their instantiation may be explained in ways that would be uneconomic if there were too many. (shrink)

This paper concerns the structure of any spatially extended things, including regions of space or spacetime. I shall use intuitions about the quantity of extended things to argue for a dichotomy: either a given finite extended thing is point-free gunk, that is, it has no points as parts, or it is made of grit, that is there are only finitely many points.

As part of his Constructive Empiricism, Van Fraassen commends agnosticism about the existence of the unobservable entities posited by the physical sciences. This position of Scientific Agnosticism is compatible with the acceptance, in his sense, of Science. For to accept Science is, he says, to accept it as empirically adequate, but to refrain from deciding between the realistically interpreted theory and the as-if variant, according to which the observations are as if the theory is correct but the theory is not (...) correct. My purpose in this paper is to argue, against van Fraassen, that we—or at least most of us—should embrace Scientific Realism not Scientific Agnosticism. (shrink)

Drawing on a qualitative study of women who cared for their elderly mothers, this article explores women's experiences of feeling responsible for elderly relatives. The minimal provision of public services for old people and the relative absence of brothers and husbands from family caregiving emerge as material constraints shaping women's sense of obligation. This is affirmed by ideologies and assumptions about women's association with caring and family ties that permeate subjects' accounts of their situations. Translating their sense of obligation into (...) their lives is a contradictory process characterized by ambivalence and guilt that stifle complaint. Further exploration of the social processes that sustain the inequitable division of caring labor can contribute to interpretations, practices, and policies that benefit rather than constrain women. (shrink)

THE ARTICLE IS AN ATTACK ON THE MYSTERY OR REDUCTION DILEMMA FOR SUPERVENIENCE. THIS IS THE DILEMMA THAT EITHER SUPERVENIENCE IS MYSTERIOUS OR THE SUPERVENIENT IS REDUCIBLE TO THE SUBVENIENT. A NONMYSTERIOUS, NONREDUCTIVE ACCOUNT OF SUPERVENIENCE IS PROPOSED, BASED ON THE METAPHYSICAL SPECULATION THAT SUPERVENIENT TERMS AND PHRASES APPLY TO OBJECTS WHOSE INTRINSIC NATURES THEMSELVES HAVE AN APPROPRIATE PROPERTY. SINCE THIS IS A PROPERTY OF A NATURE IT IS A PROPERTY OF A PROPERTY, THAT IS, A GRAND-PROPERTY. SUPERVENIENCE FOLLOWS FROM (...) THIS HYPOTHESIS QUITE NONMYSTERIOUSLY, BY APPEAL TO THE INDISCERNIBILITY OF IDENTICALS. THE METAPHYSICAL SPECULATIONS REQUIRED MIGHT SEEM EXTRAVAGANT. A LARGE PART OF THE PAPER IS DESIGNED TO SHOW THAT THEY ARE NOT EXTRAVAGANT. (shrink)

Conceivability is, I say, prima facie evidence for possibility. Hence, we may count the cost of theories about possibility by listing the ways in which, according to the theory in question, something conceivable is said nonetheless to be impossible. More succinctly we may state a principle, Hume's razor to put alongside Ockham's. Hume's razor says that necessities are not to be multiplied more than necessary. In this paper I count the cost of David Lewis's modal realism, showing that many of (...) the objections are replied to by Lewis only at the cost of multiplying necessities. (shrink)

This paper seeks to highlight the benefits of prioritizing moderate African communitarian principles as partly demonstrated in the HIV prevention strategies implemented in Uganda in the late 1980s. Pertinent lessons could be drawn so as to achieve the HIV prevention targets envisioned in the post-2015 development era. Communitarianism emphasizes the importance of communities as part of healthy human existence. Its core ethical values include the virtues of generosity, compassion, and solidarity. Persuasion through communication, consensus through dialogue, and the awareness and (...) commitment to responsibilities towards other members of the community, are chief practices relied upon to achieve appropriate social behaviour. All these elements signify individual rootedness in communities and contribute to the healthy existence of its members. Communitarianism is usually classified as either authoritarian/radical or responsive/moderate, depending on the primacy given to either community interests or the individual will and rights. Moderate communitarianism recognizes the individual's capacity for moral reasoning, virtue and free choice. The ensuing form of society is deemed more ethical as it relies on education in the virtues, moral persuasion and informal social controls, without stifling individual identity, agency, and capacity for self-determination. If moderate African communitarianism, in particular, can to a certain extent be associated with the significant aspects of Uganda's HIV prevention strategies in the stated period, then its present-day relevance for HIV prevention and other public health interventions may be emphasized accordingly. This applies especially in view of the ongoing efforts to achieve a balance between individual and collective interests in bioethics. (shrink)

In this compilation the editor presents a revision of Walter Kaufmann's Philosophic classics, originally published in 1961 in 2 volumes, with added separate volumes on medieval philosophy and on nineteenth- and early twentieth-century philosophy.

In this paper I argue against Realism about Possible Worlds by showing how it leads to a counter-intuitive scepticism about the rationality of Occam’s razor. This can be thought of as a transcendental argument from Logic to Metaphysics. It should be contrasted with a straightforward application of Logic to Metaphysics, as when we apply Occam’s razor to reject a category of entities which we judge to be redundant.

The implicit social contract between large companies and their employees has been recently revised to emphasize workforce flexibility and the financial responsibility of individual employees for their own employment and benefits-related decisions. The most recent aspect of this social contract to be significantly changed is health care benefits. On the basis of in-depth case studies of health benefits purchasing at 15 large United States employers, the authors found that the reported use of a purchasing technique called managed competitionhas enabled firms (...) to bring health benefits purchasing in line with other elements of the revised social contract. An important minority of companies in our study appear to have retained a different, “employer responsibility” approach toward employee health benefits, leading them to move more gradually to managed competition purchasing and refrain from instituting heavy premium cost sharing or cutting coverage for their employees. These findings are preliminary and deserve further study as to their generalizability and persistence. (shrink)

BackgroundImplementation of recommendations from clinical practice guidelines is essential for evidence based clinical practice. However, the most effective methods of implementation are unclear. We conducted a national, cluster-randomised, blinded implementation trial to determine if midwife or doctor local implementation leaders are more effective in implementing a guideline for use of oral dextrose gel to treat hypoglycaemic babies on postnatal wards. To prevent any conscious or unconscious performance bias both the doctor and midwife local implementation leaders were kept unaware of the (...) trial. This paper reports the ethical dilemmas and practical challenges of ensuring clinicians remained unaware of their involvement in an implementation trial.MethodsWe sought approval from the National Health and Disability Ethics committee to keep clinicians unaware of the trial by waiving the standard requirement for locality approval usually required for each district health board. The ethics committee did not approve a waiver of consent but advised that we approach the chief executive of each district health board to ask for provisional locality approval. Ultimately it was necessary to seek ethics approval for three separate study designs to keep clinicians unaware of the trial.ResultsThe median time for chief executive approval was 16 days and for locality approval was 57 days. We completed 21 different locality approval forms for 27 hospitals.ConclusionsKeeping clinicians unaware of their involvement in a national implementation cluster-randomised trial is feasible. However, despite a national ethics committee, significant logistical challenges were time consuming and delayed trial completion. Co-ordination of the locality approval process would help facilitate multi-centre trials. (shrink)

In this paper I have had two aims. One was to describe a number of pantheist or near pantheist religious attitudes, including the influence of many worlds theories. The other was to indicate some of the ways we might arrive at Pantheism.One final remark: when assessing religious positions the intellectual grounds for accepting or rejecting them should, I suggest, be whether they make sense of things, that is, enable us to understand. The ways to Pantheism, or to near Pantheism, should (...) therefore be interpreted as part of a comparison between ways of understanding. (shrink)

Consider the things that exist—the entities—and let us suppose they are mereologically structured, that is, some are parts of others. The project of ontology within the bounds of bare mereology use this structure to say which of these entities belong to various ontological kinds, such as properties and particulars. My purpose in this paper is to defend the most radical section of the project, the mereological theory of the exemplification of universals. Along the way I help myself to several hypotheses: (...) the existence of merely possible worlds; that particulars have thisnesses; and that mereology is far from classical. Moreover, the way I characterize instantiation might be judged too complicated to be plausible. At the end of the paper, I reply to these objections based on complexity. (shrink)

David Armstrong in his A Combinatorial Theory of Possibility proposes that non-actual possibilities may be treated as fictions grounded in instantiated universals. In this paper, I first provide some objections to his theory. Then I make the case for Foundational Nominalism, the Armstrong inspired thesis that the whole of ontology supervenes on particulars described much as in the Quinean Nominalism that Armstrong rejected as an ontological ostrich. Finally, I argue that Foundational Nominalism permits a fictional theory of possibilities similar to (...) Brian Skyrms’ Tractarian Nominalism. (shrink)

A comforting, gentle introduction to the concept of God for young children.

SummaryThe Science Museum, London, recently acquired some circular logic demonstrators by Charles Mahon, 3rd Earl Stanhope. A study of what exists of Stanhope's unpublished book, notes and letters on the subject allows the development of his demonstrators to be traced. A consideration of Stanhope's characters and interests reveals an Enlightenment figure with aspirations consonant with that era, the logic demonstrators representing the material culmination of his ideals. Yet the demonstrators were not made public during his lifetime, and the final form (...) was greeted with derision 60 years after his death. (shrink)

Research illustrates that social movements can fuel new markets and that these markets can create social change, but the role of leaders in this process is less understood. This exploratory interview-based study of the localism movement contributes to such understanding. It articulates the relationship of social movement leaders and the legitimacy of their organizations to new market creation. Specifically, leaders in this study engaged in a dual role to legitimize their organizations and to legitimize the movement. At an organizational level, (...) leaders chose strategies that conformed to a conventional organizational model of the social movement organization as a business network, much like a local chamber of commerce. At a movement level, the SMO’s level of legitimacy influenced the leader’s choice of strategies to grow a “local” market. These strategies aimed, primarily, to shape consumer purchase behavior and, secondarily, to foster the development of producers’ skills, and only in a tertiary way, to alter the nature of exchange. Finally, this study’s findings suggest a tension between the dual roles that may ultimately challenge the efficacy of the movement. (shrink)

Physicists regularly invoke universal laws, such as those of motion and electromagnetism, to explain events. Biological and medical scientists have no such laws. How then do they acquire a reliable body of knowledge about biological organisms and human disease? One way is by repeatedly returning to, manipulating, observing, interpreting, and reinterpreting certain subjects—such as flies, mice, worms, or microbes—or, as they are known in biology, “model systems.” Across the natural and social sciences, other disciplinary fields have developed canonical examples that (...) have played a role comparable to that of biology’s model systems, serving not only as points of reference and illustrations of general principles or values but also as sites of continued investigation and reinterpretation. The essays in this collection assess the scope and function of model objects in domains as diverse as biology, geology, and history, attending to differences between fields as well as to epistemological commonalities. Contributors examine the role of the fruit fly Drosophila and nematode worms in biology, troops of baboons in primatology, box and digital simulations of the movement of the earth’s crust in geology, and meteorological models in climatology. They analyze the intensive study of the prisoner’s dilemma in game theory, ritual in anthropology, the individual case in psychoanalytic research, and Athenian democracy in political theory. The contributors illuminate the processes through which particular organisms, cases, materials, or narratives become foundational to their fields, and they examine how these foundational exemplars—from the fruit fly to Freud’s Dora—shape the knowledge produced within their disciplines. Contributors Rachel A. Ankeny Angela N. H. Creager Amy Dahan Dalmedico John Forrester Clifford Geertz Carlo Ginzburg E. Jane Albert Hubbard Elizabeth Lunbeck Mary S. Morgan Josiah Ober Naomi Oreskes Susan Sperling Marcel Weber M. Norton Wise. (shrink)

Often created by colonial societies characterized by violence and oppression, historical artefacts such as monuments are increasingly under criticism for perpetuating violent attitudes. While the links between artefacts and society are well understood, there has been little work that finds the opportunity for resistance to violence in these artefacts themselves. Developing a ‘spectrum of violence’ for artefacts, I argue that ambiguous artefacts move us towards non-violence by provoking critique, while absolute artefacts move us away from it by stilling critique. Applying (...) this spectrum to a discussion of a graffitied New York monument in 2020, I propose that the act of ‘refacement’ can turn absolute artefacts into ambiguous ones. In so doing, the artefacts that once upheld colonial values might be transformed to resist them. This paper offers a timely exploration of monuments and violence, and seeks to better understand how cultural artefacts can lay the foundations for a non-violent future. (shrink)

Studies on surrogate motherhood have mostly explored paid arrangements through the lens of a contract model, as clinical work or as a maternal identity-building project. Turning to the under-examined case of unpaid, so-called altruistic surrogate motherhood and based on an analysis of interviews with women who had been unpaid surrogate mothers in a full gestational surrogacy with a friend or relative in Canada, the United States or Australia, this article explores altruistic surrogate motherhood as relational work. It argues that this (...) form of surrogate motherhood within close interpersonal relations can be conceptualised through the relational work involved in hosting a child for the intended parents. The article explores how relational work in this context implies an embodied, asymmetrical and far-reaching sense of responsibility that surrogate mothers describe as characteristic of their surrogacy experience. In this way, the article sheds light on feminist concerns about surrogacy as an embodied and objectifying work of women while at the same time illuminating how surrogate mothers respond to the intended parents in light of their pre-surrogacy relationship, how meanings are negotiated by them and how relationships are managed during the pregnancy. (shrink)

The Body as Gift, Resource, and Commodity, edited by Martin Gunnarson and Fredrik Svenaeus, is a volume containing 11 research pieces about organ transplants and organ trade in current times, and is the outcome of a research project at the Centre for Studies in Practical Knowledge, Södertörns University in Stockholm. The main contributors include a philosopher, a historian, and three ethnologists, assisted by medical researchers and physicians and other scholars from the Baltic region. As such, the range of focus is (...) generally limited to the prevailing practices in that region, although their connections with practices in other parts of the world are discussed where directly relevant.The authors’ aim, as mentioned in the introduction of the book, is to add to the growth of knowledge and reflection in the field of reference and thus help to build sound political judgment and policies on organ, tissue, and cell donation, both in view of the need to save lives and their impac .. (shrink)

This article examines the criteria for determining when a local authority owes a duty of care at Common Law, concurrent with statutory obligations, in light of the decisions of the House of Lords in X (Minors) v Bedfordshire County Council and M (A Minor) v Newham Borough Council. The various policy arguments employed by their Lordships are analysed and located within current debate regarding the purpose and scope of the tort of negligence. It is argued that, in relevant circumstances, English (...) courts should have regard to the European Convention on Human Rights in order to conclude whether it is ‘just and reasonable’ to impose a duty of care. The cases under discussion raised issues under several Articles of the Convention (Article 6 and Article 8, in particular), and their impact upon the decision of the House of Lords, as well as the facts themselves, is assessed. (shrink)

An unlikely-and entirely unforgettable-tale of a most unusual friendship between Flora, an elephant calf stolen from her African home, and David, the circus impresario and magician, who adopts, trains, and ultimately liberates her in a tale freely inspired by actual events.

ABSTRACTBy the Many Categories problem, I mean the prima facie violation of Ockham’s Razor by realists about universals: there is, it might seem, just too much variety. Thus, David Armstrong posits both properties and relations. He also theorises about determinates of determinables. Another influential realist, E. J. Lowe distinguishes non-substantial from substantial universals. Yet again, both Armstrong and Lowe include in their ontology abstract particulars in addition to universals. My aim in this paper is to offer a unification of these (...) categories using an operator-theory. First, I show how operators provide a theory of abstract particulars of relations and of impure relational properties. Then, using impure relational properties I derive the Fregeanion Principle. After some metaphysics of mathematics, I provide a theory of determinables. Finally, I consider kinds and substances. (shrink)

Community care for frail elderly people rests heavily on the work of low-status, paraprofessional home care workers. Home care workers describe their work as highly personalized caring labor that often seeps out of its formal boundaries into informal, unpaid activities. Although these activities are valued by workers, their supervisors, elderly clients, and family members, they represent uncompensated and exploited labor. Cost-cutting trends in home care management that seek to depersonalize home care labor are likely to increase its exploitative potential for (...) paid care workers and, simultaneously, to disadvantage and jeopardize elderly home care clients and their unpaid family caregivers. (shrink)

(People do not understand how what is borne in different directions comes to be in agreement with itself; [for] a framework like that of the bow and the lyre turns back [on itself].).