This successful textbook is designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics. Its comprehensiveness and authority make it also an essential reference for professionals in the area. For the new edition, errors have been corrected, the text has been smoothed and updated, and new sections on greatest common divisors and symbolic integration have been added.

This book is an advanced critical introduction to Greek tragedy. It is written specifically for the reader who does not know Greek and who may be unfamiliar with the context of the Athenian drama festival but who nevertheless wants to appreciate the plays in all their complexity. Simon Goldhill aims to combine the best contemporary scholarly criticism in classics with a wide knowledge of modern literary studies in other fields. He discusses the masterpieces of Athenian drama in the light of contemporary critical controversies in such a way as to enable the student or scholar not only to understand and appreciate the texts of the most commonly read plays, but also to evaluate and utilize the range of approaches to the problems of ancient drama.

This unique book provides the student of Roman history with an accessible and detailed introduction to Roman and provincial coinage in the late Republic and early Empire in the context of current historical themes and debates. Almost two hundred different coins are illustrated at double life size, with each described in detail, and technical Latin and numismatic terms are explained. Chapters are arranged chronologically, allowing students to quickly identify material relevant to Julius Caesar, the second triumvirate, the relationship between Antony and Cleopatra, and the Principate of Augustus. Iconography, archaeological contexts, and the economy are clearly presented. A diverse array of material is brought together in a single volume to challenge and enhance our understanding of the transition from Republic to Empire.

Scientific realism is the view that our best scientific theories give approximately true descriptions of both observable and unobservable aspects of a mind-independent world. Debates between realists and their critics are at the very heart of the philosophy of science. Anjan Chakravartty traces the contemporary evolution of realism by examining the most promising strategies adopted by its proponents in response to the forceful challenges of antirealist sceptics, resulting in a positive proposal for scientific realism today. He examines the core principles of the realist position, and sheds light on topics including the varieties of metaphysical commitment required, and the nature of the conflict between realism and its empiricist rivals. By illuminating the connections between realist interpretations of scientific knowledge and the metaphysical foundations supporting them, his book offers a compelling vision of how realism can provide an internally consistent and coherent account of scientific knowledge.

Classical logic is concerned, loosely, with the behaviour of truths. Epistemic logic similarly is about the behaviour of known or believed truths. Justification logic is a theory of reasoning that enables the tracking of evidence for statements and therefore provides a logical framework for the reliability of assertions. This book, the first in the area, is a systematic account of the subject, progressing from modal logic through to the establishment of an arithmetic interpretation of intuitionistic logic. The presentation is mathematically rigorous but in a style that will appeal to readers from a wide variety of areas to which the theory applies. These include mathematical logic, artificial intelligence, computer science, philosophical logic and epistemology, linguistics, and game theory.

Is what could have happened but never did as real as what did happen? What did happen, but isn't happening now, happened at another time. Analogously, one can say that what could have happened happens in another possible world. Whatever their views about the reality of such things as possible worlds, philosophers need to take this analogy seriously. Adriane Rini and Max Cresswell exhibit, in an easy step-by-step manner, the logical structure of temporal and modal discourse, and show that every temporal construction has an exact parallel that requires a language that can refer to worlds, and vice versa. They make precise, in a way which can be articulated and tested, the claim that the parallel is at work behind even ordinary talk about time and modality. The book gives metaphysicians a sturdy framework for the investigation of time and modality - one that does not presuppose any particular metaphysical view.

This collection of essays offers a conspectus of major trends in the philosophy of logic and philosophy of mathematics. A distinguished group of philosophers addresses issues at the centre of contemporary debate: semantic and set-theoretic paradoxes, the set/class distinction, foundations of set theory, mathematical intuition and many others. The volume includes Hilary Putnam's 1995 Alfred Tarski lectures.

What is the self? The question has preoccupied people in many times and places, but nowhere more than in the modern West, where it has spawned debates that still resound today. Jerrold Seigel here provides an original and penetrating narrative of how major Western European thinkers and writers have confronted the self since the time of Descartes, Leibniz, and Locke. From an approach that is at once theoretical and contextual, he examines the way figures in Britain, France, and Germany have understood whether and how far individuals can achieve coherence and consistency in the face of the inner tensions and external pressures that threaten to divide or overwhelm them. He makes clear that recent 'postmodernist' accounts of the self belong firmly to the tradition of Western thinking they have sought to supersede, and provides an open-ended and persuasive alternative to claims that the modern self is typically egocentric or disengaged.

From the authors of The Evolution and Extinction of the Dinosaurs comes an introduction to the study of dinosaurs for non-specialists designed to excite readers about science by using dinosaurs to illustrate and discuss geology, natural history and evolution. While focusing on dinosaurs it also uses them to convey other aspects of the natural sciences, including fundamental concepts in evolutionary biology, physiology, life history, and systematics. Considerable attention is devoted the nature of science itself: what it is, what it is not, and how science can be used to investigate particular kinds of questions. Dinosaurs is unique because it fills a gap between the glossy, fact-driven dinosaur books and the higher-level academic books, addressing the paleontology of dinosaurs exactly as professionals in the field do.

Recent Anglophone scholarship has successfully shown that Nietzsche's thought makes important contributions to a wide range of contemporary philosophical debates. In so doing, however, scholarship has lost sight of another important feature of Nietzsche's project, namely his desire to challenge the very conception of philosophy that has been used to assess his merits as a philosopher. In other words, contemporary scholarship has overlooked Nietzsche's contributions to metaphilosophy, i.e. debates around the nature, methods, and aims of philosophy. This important new collection of essays brings together an international group of distinguished scholars to explore and discuss these contributions and debates. It will appeal to anyone interested in metaphilosophy, Nietzsche studies, German studies, or intellectual history.

Applying advances in game theory to the study of nuclear deterrence, Robert Powell examines the foundations of deterrence theory. Game-theoretic analysis allows the author to explore some of the most complex and problematic issues in deterrence theory, including the effects of first-strike advantages, limited retaliation, and the number of nuclear powers in the international system on the dynamics of escalation. With the formalizations he develops, the author is able to demonstrate the fundamental similarity of the two seemingly disparate deterrrent strategies that have evolved in response to the nuclear revolution and the condition of mutually assured destruction: the strategy of limited retaliation. The author argues that the logic underlying both strategies centres on a search for ways to make the use of force or the threat of its use credible when any use of force might escalate to mutual devastation.

Critical realism is a philosophy of science that positions itself against the major alternative philosophies underlying contemporary sociology. This book offers a general critique of sociology, particularly sociology in the United States, from a critical realist perspective. It also acts as an introduction to critical realism for students and scholars of sociology. Written in a lively, accessible style, Douglas V. Porpora argues that sociology currently operates with deficient accounts of truth, culture, structure, agency, and causality that are all better served by a critical realist perspective. This approach argues against the alternative sociological perspectives, in particular the dominant positivism which privileges statistical techniques and experimental design over ethnographic and historical approaches. However, the book also compares critical realism favourably with a range of other approaches, including poststructuralism, pragmatism, interpretivism, practice theory, and relational sociology. Numerous sociological examples are included, and each chapter addresses well-known and current work in sociology.
The first book-length introduction to critical realism for a sociological audience
Coverage of the broad array of current sociological perspectives makes it an accessible introduction to sociological theory as well as a novel argument concerning critical realism
The philosophical ideas are explained clearly with numerous sociological examples

This major publication is a history of the semantic tradition in philosophy from the early nineteenth century through its incarnation in the work of the Vienna Circle, the group of logical positivists that emerged in the years 1925-1935 in Vienna who were characterised by a strong commitment to empiricism, a high regard for science, and a conviction that modern logic is the primary tool of analytic philosophy. In the first part of the book, Alberto Coffa traces the roots of logical positivism in a semantic tradition that arose in opposition to Kant's theory that a priori knowledge is based on pure intuition and the constitutive powers of the mind. In Part II, Coffa chronicles the development of this tradition by members and associates of the Vienna Circle. Much of Coffa's analysis draws on the unpublished notes and correspondence of many philosophers. The book, however, is not merely a history of the semantic tradition from Kant 'to the Vienna Station'. Coffa also critically reassesses the role of semantic notions in understanding the ground of a priori knowledge and its relation to empirical knowledge and questions the turn the tradition has taken since Vienna.

One of the most exciting developments in philosophy in the last fifty years is the resurgence in the philosophy of action. The concept of action now occupies a central place in ethics, metaphysics and jurisprudence. This collection of original essays, by some of the most astute and influential philosophers working in this area, covers the entire range of the philosophy of action. Topics covered include the nature of actions themselves; how the concepts of act, agent, cause and event are related to each other; self-knowledge, emotion, autonomy and freedom in human life; and the place of the concept of action in criminal law. The volume concludes with a major essay by one of America's leading authorities in the philosophy of law on 'the 3.5 billion dollar question': was the destruction of the World Trade Center one event or two?

A central theme throughout the impressive series of philosophical books and articles Stephen Toulmin has published since 1948 is the way in which assertions and opinions concerning all sorts of topics, brought up in everyday life or in academic research, can be rationally justified. Is there one universal system of norms, by which all sorts of arguments in all sorts of fields must be judged, or must each sort of argument be judged according to its own norms? In The Uses of Argument (1958) Toulmin sets out his views on these questions for the first time. In spite of initial criticisms from logicians and fellow philosophers, The Uses of Argument has been an enduring source of inspiration and discussion to students of argumentation from all kinds of disciplinary background for more than forty years.

This is a book about the philosophy of Henri Bergson (1859-1941) which shows how relevant Bergson is to much contemporary philosophy. The book takes as its point of departure Bergson's insistence on precision in philosophy. It then discusses a variety of topics including laughter, the nature of time as experienced, how intelligence and language should be construed as a pragmatic product of evolution, and the antinomies of reason represented by magic and religion. This is not just another exposition of Bergson's work. It offers an account of why Bergson commanded such a massive reading public in his own day and why he deserves to be read now. Written in a terse and clear style, this book will prove appealing to teachers and students of philosophy, cognitive science, psychology, religious studies and literature.

This landmark achievement in philosophical scholarship brings together leading experts from the diverse traditions of Western philosophy in a common quest to illuminate and explain the most important philosophical developments since the Second World War. Focusing particularly (but not exclusively) on those insights and movements that most profoundly shaped the English-speaking philosophical world, this volume bridges the traditional divide between 'analytic' and 'Continental' philosophy while also reaching beyond it. The result is an authoritative guide to the most important advances and transformations that shaped philosophy during this tumultuous and fascinating period of history, developments that continue to shape the field today. It will be of interest to students and scholars of contemporary philosophy of all levels and will prove indispensable for any serious philosophical collection.

Spinoza's Ethics is one of the most remarkable, important, and difficult books in the history of philosophy: a treatise simultaneously on metaphysics, knowledge, philosophical psychology, moral philosophy, and political philosophy. It presents, in Spinoza's famous 'geometric method', his radical views on God, Nature, the human being, and happiness. In this wide-ranging 2006 introduction to the work, Steven Nadler explains the doctrines and arguments of the Ethics, and shows why Spinoza's endlessly fascinating ideas may have been so troubling to his contemporaries, as well as why they are still highly relevant today. He also examines the philosophical background to Spinoza's thought and the dialogues in which Spinoza was engaged - with his contemporaries (including Descartes and Hobbes), with ancient thinkers (especially the Stoics), and with his Jewish rationalist forebears. His book is written for the student reader but will also be of interest to specialists in early modern philosophy.