We are all captivated and puzzled by the infinite, in its many varied guises; by the endlessness of space and time; by the thought that between any two points in space, however close, there is always another; by the fact that numbers go on forever; and by the idea of an all-knowing, all-powerful God. In this acclaimed introduction to the infinite, A. W. Moore takes us on a journey back to early Greek thought about the infinite, from its inception to Aristotle. He then examines medieval and early modern conceptions of the infinite, including a brief history of the calculus, before turning to Kant and post-Kantian ideas. He also gives an account of Cantor’s remarkable discovery that some infinities are bigger than others. In the second part of the book, Moore develops his own views, drawing on technical advances in the mathematics of the infinite, including the celebrated theorems of Skolem and Gödel, and deriving inspiration from Wittgenstein. He concludes this part with a discussion of death and human finitude. For this third edition Moore has added a new part, ‘Infinity superseded’, which contains two new chapters refining his own ideas through a re-examination of the ideas of Spinoza, Hegel, and Nietzsche. This new part is heavily influenced by the work of Deleuze. Also new for the third edition are: a technical appendix on still unresolved questions about different infinite sizes; an expanded glossary; and updated references and further reading. The Infinite, Third Edition is ideal reading for anyone interested in an engaging and historically informed account of this fascinating topic, whether from a philosophical point of view, a mathematical point of view, or a religious point of view.

This volume, published on the fiftieth anniversary of Wittgenstein's death, brings together thirteen of Crispin Wright's most influential essays on Wittgenstein's later philosophies of language and mind, many hard to obtain, including the first publication of his Whitehead Lectures given at Harvard in 1996. Organized into four groups, the essays focus on issues about following a rule and the objectivity of meaning; on Saul Kripke's contribution to the interpretation of Wittgenstein; on privacy and self-knowledge; and on aspects of Wittgenstein's philosophy of mathematics. Wright uses the cutting edge of Wittgenstein's thought to expose and undermine the common assumptions in platonistic views of mathematical and logical objectivity and Cartesian ideas about self-knowledge. The great question remains: How to react to the demise of these assumptions? In response, the essays develop a concerted, evolving approach to the possibilities--and limitations--of constructive philosophies of mathematics and mind. Their collection constitutes a major statement by one of Britain's most important philosophers--and will provide an indispensable tool both for students of Wittgenstein and for scholars working more generally in the metaphysics of mind and language.

This engaging and accessible introduction to the philosophy of language provides an important guide to one of the liveliest and most challenging areas of study in philosophy. Interweaving the historical development of the subject with a thematic overview of the different approaches to meaning, the book provides students with the tools necessary to understand contemporary analytical philosophy. The second edition includes new material on: Chomsky, Wittgenstein and Davidson as well as new chapters on the causal theory of reference, possible worlds semantics and semantic externalism.

Provides a timely and original contribution to the debate surrounding privileged self-knowledge Contemporary epistemologists and philosophers of mind continue to find puzzling the nature and source of privileged self-knowledge: the ordinary and effortless ‘first-person’ knowledge we have of our own sensations, moods, emotions, beliefs, desires, and hopes. In Expression and Self-Knowledge, Dorit Bar-On and Crispin Wright articulate their joint dissatisfaction with extant accounts of self-knowledge and engage in a sustained and substantial critical debate over the merits of an expressivist approach to the topic. The authors incorporate cutting-edge research while defending their own alternatives to existing approaches to so-called ‘first-person privilege’. Bar-On defends her neo-expressivist account, addressing the objection that neo-expressivism fails to provide an adequate epistemology of ordinary self-knowledge, and addresses new objections levelled by Wright. Wright then presents an alternative pluralist approach, and Bar-On argues in response that pluralism faces difficulties neo-expressivism avoids. Providing invaluable insights on a hotly debated topic in epistemology and philosophy of mind, Expression and Self-Knowledge: Presents an in-depth debate between two leading philosophers over the expressivist approach Offers novel developments and penetrating criticisms of the authors' respective views Features two different perspectives on the influential remarks on expression and self-knowledge found in Wittgenstein’s later writings Includes four jointly written chapters that offer a critical overview of prominent existing accounts, which provide a useful advanced introduction to the subject. Expression and Self-Knowledge is essential reading for epistemologists, philosophers of mind and language, psychologists with an interest in self-knowledge, and researchers and graduate students working in expression, expressivism, and self-knowledge.

No other recent book in Anglophone philosophy has attracted as much criticism and has found so few friends as Saul Kripke's "Wittgenstein on Rules and Private Language". Amongst its critics, one finds the very top of the philosophical profession. Yet, it is rightly counted amongst the books that students of philosophy, at least in the Anglo-American world, have to read at some point in their education. Enormously influential, it has given rise to debates that strike at the very heart of contemporary philosophy of mind and language. In this major new interpretation, Martin Kusch defends Kripke's account against the numerous weighty objections that have been put forward over the past twenty years and argues that none of them is decisive. He shows that many critiques are based on misunderstandings of Kripke's reasoning; that many attacks can be blocked by refining and developing Kripke's position; and that many alternative proposals turn out either to be unworkable or to be disguised variants of the view they are meant to replace. Kusch argues that the apparent simplicity of Kripke's text is deceptive and that a fresh reading gives Kripke's overall argument a new strength.

Julia Tanney offers a sustained criticism of today’s canon in philosophy of mind, which conceives the workings of the rational mind as the outcome of causal interactions between mental states that have their bases in the brain. With its roots in physicalism and functionalism, this widely accepted view provides the philosophical foundation for the cardinal tenet of the cognitive sciences: that cognition is a form of information-processing. Rules, Reason, and Self-Knowledge presents a challenge not only to the cognitivist approach that has dominated philosophy and the special sciences for the last fifty years but, more broadly, to metaphysical-empirical approaches to the study of the mind. Responding to a tradition that owes much to the writings of Davidson, early Putnam, and Fodor, Tanney challenges this orthodoxy on its own terms. In untangling its internal inadequacies, starting with the paradoxes of irrationality, she arrives at a view these philosophers were keen to rebut—one with affinities to the work of Ryle and Wittgenstein and all but invisible to those working on the cutting edge of analytic philosophy and mind research today. This is the view that rational explanations are embedded in “thick” descriptions that are themselves sophistications upon ever ascending levels of discourse, or socio-linguistic practices. Tanney argues that conceptual cartography rather than metaphysical-scientific explanation is the basic tool for understanding the nature of the mind. Rules, Reason, and Self-Knowledge clears the path for a return to the world-involving, circumstance-dependent, normative practices where the rational mind has its home.