'Numbers and Proofs' presents a gentle introduction to the notion of proof to give the reader an understanding of how to decipher others' proofs as well as construct their own. Useful methods of proof are illustrated in the context of studying problems concerning mainly numbers (real, rational, complex and integers). An indispensable guide to all students of mathematics. Each proof is preceded by a discussion which is intended to show the reader the kind of thoughts they might have before any (...) attempt proof is made. Established proofs which the student is in a better position to follow then follow. Presented in the author's entertaining and informal style, and written to reflect the changing profile of students entering universities, this book will prove essential reading for all seeking an introduction to the notion of proof as well as giving a definitive guide to the more common forms. Stressing the importance of backing up "truths" found through experimentation, with logically sound and watertight arguments, it provides an ideal bridge to more complex undergraduate maths. (shrink)

This Article focuses both on the changes that have been made to the legal framework governing post-separation parenting of children in Australia, as well as the processes and discourses via which these matters have been dealt with and debated. Alone among comparable common law jurisdictions such as Canada, the United States, and England, Australia’s family law legislation, and the significant changes made to it in the past fifteen years, can be seen to have been particularly responsive to the lobbying of (...) fathers’ rights groups. It will be suggested that changes to the legislative framework that governs family law in Australia have taken place, at best, without any clear rationale or need and perhaps more problematically, have at times flown in the face of, rather than been undertaken by reference to, the evidence-based research about post-separation parenting practices and what we know about children’s welfare or best interests, the paramount consideration that underpins decision-making in this field. The purpose of this discussion is to attempt to posit some possible explanations for this distinctive path of Australian family law “reform”. (shrink)

The book does not deliver on the bonding with Indian religion suggested by the title. Indian religion gets a few pages on each of being, consciousness, and bliss. The rest of the book is an all out frontal attack on naturalism, or, as Hart mostly says, ‘materialism’, on these topics. However, the book is far from being completely negative. Hart sets out a full account of his own position.He writes clearly and entertainingly, but the book is rather long, and the (...) length of the paragraphs—often one and a half to two pages—makes for tiresome reading. It may be that the best way of tackling the book is to read the last section, ‘Illusion and Reality’, first. That is a quality philosophy essay in its own right, and it displays Hart’s writing to advantage.It also presents some of the main themes of the book, one of which is that much of the current debate between theism and atheism is not about God at all, but about ‘demiurges’. A demiurge constructs camera eyes or pieces together rotary flag. (shrink)

In this interview, Daniel Little provides an overview of his life and work in academia. Among other things, he discusses an actor-centred approach to theory of social ontology. For Little, this approach complements the assumptions of critical realism, in that it accords full ontological importance to social structures, causal mechanisms, and enduring and influential normative systems. The approach casts doubt, however, on the idea of ‘strong emergence' of social structures, the idea that social structures have properties and causal (...) powers that cannot, in principle be explained by their constituents (social actors) and their relationships. Little’s approach to social ontology endorses instead the idea of relative explanatory autonomy. During the interview, many points of convergence become evident between this actor-centred approach to social ontology and the fundamental insights of critical realism. According to Little, analysis of social ontology also turns out to be especially relevant to philosophy of history. (shrink)

Professor Little presents an introduction to the philosophy of social science with an emphasis on the central forms of explanation in social science: rational-intentional, causal, functional, structural, materialist, statistical and interpretive. The book is very strong on recent developments, particularly in its treatment of rational choice theory, microfoundations for social explanation, the idea of supervenience, functionalism, and current discussions of relativism.Of special interest is Professor Little’s insight that, like the philosophy of natural science, the philosophy of social science (...) can profit from examining actual scientific examples. Throughout the book, philosophical theory is integrated with recent empirical work on both agrarian and industrial society drawn from political science, sociology, geography, anthropology, and economics.Clearly written and well structured, this text provides the logical and conceptual tools necessary for dealing with the debates at the cutting edge of contemporary philosophy of social science. It will prove indispensible for philosophers, social scientists and their students. (shrink)

In this article, we present an analysis of defeasible generalizations -- generalizations which are essentially exception-laden, yet genuinely explanatory -- in terms of various notions of privileged conditions. We argue that any plausible epistemology must make essential use of defeasible generalizations so understood. We also consider the epistemic significance of the sort of understanding of context that is required for understanding of explanatory defeasible generalizations on any topic.

An accessible introduction to the latest developments and debates in the philosophy of social science.

Narrative analysis is well established as a means of examining the subjective experience of those who suffer chronic illness and cancer. In a study of perceptions of the outcomes of treatment of cancer of the colon, we have been struck by the consistency with which patients record three particular observations of their subjective experience: the immediate impact of the cancer diagnosis and a persisting identification as a cancer patient, regardless of the time since treatment and of the presence or absence (...) of persistent or recurrent disease; a state of variable alienation from social familiars, expressed as an inability to communicate the nature of the experience of the illness, its diagnosis and treatment; and a persistent sense of boundedness, an awareness of limits to space, empowerment and available time. These subjectivities were experienced in varying degree by all patients in our study. Individual responses to these experiences were complex and variable. The experiences are best understood under the rubric of a category we call “liminality”. We believe that all cancer patients enter and experience liminality as a process which begins with the first manifestations of their malignancy. An initial acute phase of liminality is marked by disorientation, a sense of loss and of loss of control, and a sense of uncertainty. An adaptive, enduring phase of suspended liminality supervenes, in which each patient constructs and reconstructs meaning for their experience by means of narrative. This phase persists, probably for the rest of the cancer patient’s life. The experience of liminality is firmly grounded in the changing and experiencing body that houses both the disease and the self. Insights into the nature of the experience can be gained from the Existentialist philosophers and from the history of attitudes to death. Understanding liminality helps us to understand what it is that patients with cancer seek from the system to which they turn for help. Its explication should therefore be important for those who provide health care, those who educate health care workers and those concerned to study and use outcomes as administrative and policy making instruments. (shrink)

In this article, I urge that mainstream discussions of abortion are dissatisfying in large part because they proceed in polite abstraction from the distinctive circumstances and meanings of gestation. Such discussions, in fact, apply to abortion conceptual tools that were designed on the premiss that people are physically demarcated, even as gestation is marked by a thorough-going intertwinement. We cannot fully appreciate what is normatively at stake with legally forcing continued gestation, or again how to discuss moral responsibilities to continue (...) gestating, until we appreciate in their own terms the goods and evils distinctive of gestational connection. To underscore the need to explore further the meanings of gestation, I provide two examples of the difference it might make to legal and moral discussions of abortion if we appreciate more fully that gestation is an intimacy. (shrink)

I develop two different epistemic roles for emotion and desire. Caring for moral ends and people plays a pivotal though contingent role in ensuring reliable awareness of morally salient details; possession of various emotions and motives is a necessary condition for autonomous understanding of moral concepts themselves. Those who believe such connections compromise the "objective" status of morality tend to assume rather than argue for the bifurcated conception of reason and affect this essay challenges.

This text focuses on the theory of popular politics constructed within the context of analytical Marxism, and asks if rational choice theory provides an adequate basis for explaining patterns of social, political and economic behaviour in traditional China.

The article provides an exposition of the concept of supervenience in application to the social world. It is pointed out that the issue of supervenience is particularly important in the social sciences, ranging from macro to meso to micro, individual to social. The paper considers the topics of emergence and reduction, and considers whether the concept of supervenience permits us to steer between the two. The paper closes with a discussion of the idea of relative explanatory autonomy as a preferable (...) conception of the relations across levels in the human sciences. (shrink)

The article provides an exposition of the concept of supervenience in application to the social world. It is pointed out that the issue of supervenience is particularly important in the social sciences, ranging from macro to meso to micro, individual to social. The paper considers the topics of emergence and reduction, and considers whether the concept of supervenience permits us to steer between the two. The paper closes with a discussion of the idea of relative explanatory autonomy as a preferable (...) conception of the relations across levels in the human sciences. (shrink)