The first edition of the Cambridge Companion to Plato (1992), edited by Richard Kraut, shaped scholarly research and guided new students for thirty years. This new edition introduces students to fresh approaches to Platonic dialogues while advancing the next generation of research. Of its seventeen chapters, nine are entirely new, written by a new generation of scholars. Six others have been thoroughly revised and updated by their original authors. The volume covers the full range of Plato's interests, including ethics, political philosophy, epistemology, metaphysics, aesthetics, religion, mathematics, and psychology. Plato's dialogues are approached as unified works and considered within their intellectual context, and the revised introduction suggests a way of reading the dialogues that attends to the differences between them while also tracing their interrelations. The result is a rich and wide-ranging volume which will be valuable for all students and scholars of Plato.

We are happy to present to the reader the first book of our Applied Logic Series. Walton's book on the fallacies of ambiguity is firmly at the heart of practical reasoning, an important part of applied logic. There is an increasing interest in artifIcial intelligence, philosophy, psychol ogy, software engineering and linguistics, in the analysis and possible mechanisation of human practical reasoning. Continuing the ancient quest that began with Aristotle, computer scientists, logicians, philosophers and linguists are vigorously seeking to deepen our understanding of human reasoning and argumentation. Significant communities of researchers are actively engaged in developing new approaches to logic and argumentation, which are better suited to the urgent needs of today's applications. The author of this book has, over many years, made significant contributions to the detailed analysis of practical reasoning case studies, thus providing solid foundations for new and more applicable formal logical systems. We welcome Doug Walton's new book to our series."

Timothy Williamson is one of the most influential living philosophers working in the areas of logic and metaphysics. His work in these areas has been particularly influential in shaping debates about metaphysical modality, which is the topic of his recent provocative and closely-argued book Modal Logic as Metaphysics (2013). This book comprises ten essays by metaphysicians and logicians responding to Williamson's work on metaphysical modality, as well as replies by Williamson to each essay. In addition, it contains an original essay by Williamson, 'Modal science,' concerning the role of modal claims in natural science. This book was originally published as a special issue of the Canadian Journal of Philosophy.

The problem of truth and the liar paradox is one of the most extensive problems of philosophy. The liar paradox can be avoided by assuming a so-called theory of partial truth instead of a classical theory of truth. Theories of partial truth, however, cannot solve the so-called strengthened liar paradox, which is the problem that many semantic statements about the so-called strengthened liar cannot be true in a theory of partial truth. If such semantic statements were true in the theory, another paradox would emerge. To proponents of contextual accounts, which assume that the concept of truth is context-dependent, the strengthened liar paradox is the core of the liar problem. This book provides an overview of current contextual approaches to the strengthened liar paradox. For this purpose, the author investigates formal theories of truth that result from formal reconstructions of such contextual approaches.

Metamathematics and the Philosophical Tradition is the first work to explore in such historical depth the relationship between fundamental philosophical quandaries regarding self-reference and meta-mathematical notions of consistency and incompleteness. Using the insights of twentieth-century logicians from Goedel through Hilbert and their successors, this volume revisits the writings of Aristotle, the ancient skeptics, Anselm, and enlightenment and seventeenth and eighteenth century philosophers Leibniz, Berkeley, Hume, Pascal, Descartes, and Kant to identify ways in which these both encode and evade problems of a priori definition and self-reference. The final chapters critique and extend more recent insights of late 20th-century logicians and quantum physicists, and offer new applications of the completeness theorem as a means of exploring "metatheoretical ascent" and the limitations of scientific certainty. Broadly syncretic in range, Metamathematics and the Philosophical Tradition addresses central and recurring problems within epistemology. The volume's elegant, condensed writing style renders accessible its wealth of citations and allusions from varied traditions and in several languages. Its arguments will be of special interest to historians and philosophers of science and mathematics, particularly scholars of classical skepticism, the Enlightenment, Kant, ethics, and mathematical logic.

Philosophers have warned of the perils of a life spent without reflection, but what constitutes reflective inquiry - and why it's necessary in our lives - can be an elusive concept. Synthesizing ideas from minds as diverse as John Dewey and Paulo Freire, theHandbook of Reflection and Reflective Inquiry presents reflective thought in its most vital aspects, not as a fanciful or nostalgic exercise, but as a powerful means of seeing familiar events anew, encouraging critical thinking and crucial insight, teaching and learning. In its opening pages, two seasoned educators, Maxine Greene and Lee Shulman, discuss reflective inquiry as a form of active attention (Thoreau's "wide-awakeness"), an act of consciousness, and a process by which people can understand themselves, their work (particularly in the form of life projects), and others. Building on this foundation, the Handbook analyzes through the work of 40 internationally oriented authors: - Definitional issues concerning reflection, what it is and is not; - Worldwide social and moral conditions contributing to the growing interest in reflective inquiry in professional education; - Reflection as promoted across professional educational domains, including K-12 education, teacher education, occupational therapy, and the law; - Methods of facilitating and scaffolding reflective engagement; - Current pedagogical and research practices in reflection; - Approaches to assessing reflective inquiry.

Educators across the professions as well as adult educators, counselors and psychologists, and curriculum developers concerned with adult learning will find the Handbook of Reflection and Reflective Inquiry an invaluable teaching tool for challenging times.

Is reality logical and is logic real? What is the origin of logical intuitions? What is the role of logical structures in the operations of an intelligent mind and in communication? Is the function of logical structure regulative or constitutive or both in concept formation?

This volume provides analyses of the logic-reality relationship from different approaches and perspectives. The point of convergence lies in the exploration of the connections between reality - social, natural or ideal - and logical structures employed in describing or discovering it. Moreover, the book connects logical theory with more concrete issues of rationality, normativity and understanding, thus pointing to a wide range of potential applications.

The papers collected in this volume address cutting-edge topics in contemporary discussions amongst specialists. Some essays focus on the role of indispensability considerations in the justification of logical competence, and the wide range of challenges within the philosophy of mathematics. Others present advances in dynamic logical analysis such as extension of game semantics to non-logical part of vocabulary and development of models of contractive speech act."

This collection presents the first sustained examination of the nature and status of the idea of principles in early modern thought. Principles are almost ubiquitous in the seventeenth and eighteenth centuries: the term appears in famous book titles, such as Newton's Principia; the notion plays a central role in the thought of many leading philosophers, such as Leibniz's Principle of Sufficient Reason; and many of the great discoveries of the period, such as the Law of Gravitational Attraction, were described as principles. Ranging from mathematics and law to chemistry, from natural and moral philosophy to natural theology, and covering some of the leading thinkers of the period, this volume presents ten compelling new essays that illustrate the centrality and importance of the idea of principles in early modern thought. It contains chapters by leading scholars in the field, including the Leibniz scholar Daniel Garber and the historian of chemistry William R. Newman, as well as exciting, emerging scholars, such as the Newton scholar Kirsten Walsh and a leading expert on experimental philosophy, Alberto Vanzo. The Idea of Principles in Early Modern Thought: Interdisciplinary Perspectives charts the terrain of one of the period's central concepts for the first time, and opens up new lines for further research.

The founder of both American pragmatism and semiotics, Charles Sanders Peirce (1839-1914) is widely regarded as an enormously important and pioneering theorist. In this book, scholars from around the world examine the nature and significance of Peirce's work on perception, iconicity, and diagrammatic thinking. Abjuring any strict dichotomy between presentational and representational mental activity, Peirce's theories transform the Aristotelian, Humean, and Kantian paradigms that continue to hold sway today and, in so doing, forge a new path for understanding the centrality of visual thinking in science, education, art, and communication. The essays in this collection cover a wide range of issues related to Peirce's theories, including the perception of generality; the legacy of ideas being copies of impressions; imagination and its contribution to knowledge; logical graphs, diagrams, and the question of whether their iconicity distinguishes them from other sorts of symbolic notation; how images and diagrams contribute to scientific discovery and make it possible to perceive formal relations; and the importance and danger of using diagrams to convey scientific ideas. This book is a key resource for scholars interested in Perice's philosophy and its relation to contemporary issues in mathematics, philosophy of mind, philosophy of perception, semiotics, logic, visual thinking, and cognitive science.

This publication will introduce how two different countries promote high quality learning with technology in very different educational systems. The book opens inspiring scenarios how new technological tools and services can be used for promoting students' learning in schools and higher education, enhancing collaboration in educational communities and supporting teachers' professional development. The publication focuses on three major themes: Students as knowledge and art creators in playful learning systems, personalized learning supported by mobiles and intelligent tutoring systems with games and new web-based tools identifying learning difficulties, and technology in digitalized learning environments. The book is based on systematic research work in universities.

Were the most serious philosophers of the millennium 200 A.D. to 1200 A.D. just confused mystics? This book shows otherwise. John Martin rehabilitates Neoplatonism, founded by Plotinus and brought into Christianity by St. Augustine. The Neoplatonists devise ranking predicates like good, excellent, perfect to divide the Chain of Being, and use the predicate intensifier hyper so that it becomes a valid logical argument to reason from God is not (merely) good to God is hyper-good. In this way the relational facts underlying reality find expression in Aristotle's subject-predicate statements, and the Platonic tradition proves able to subsume Aristotle's logic while at the same time rejecting his metaphysics. In the Middle Ages when Aristotle's larger philosophy was recovered and joined again to the Neoplatonic tradition which was never lost, Neoplatonic logic lived along side Aristotle's metaphysics in a sometime confusing and unsettled way. Showing Neoplatonism to be significantly richer in its logical and philosophical ideas than it is usually given credit for, this book will be of interest not just to historians of logic, but to philosophers, logicians, linguists, and theologians.

This book offers a comprehensive account of logic that addresses fundamental issues concerning the nature and foundations of the discipline. The authors claim that these foundations can not only be established without the need for strong metaphysical assumptions, but also without hypostasizing logical forms as specific entities. They present a systematic argument that the primary subject matter of logic is our linguistic interaction rather than our private reasoning and it is thus misleading to see logic as revealing "the laws of thought". In this sense, fundamental logical laws are implicit to our "language games" and are thus more similar to social norms than to the laws of nature. Peregrin and Svoboda also show that logical theories, despite the fact that they rely on rules implicit to our actual linguistic practice, firm up these rules and make them explicit. By carefully scrutinizing the project of logical analysis, the authors demonstrate that logical rules can be best seen as products of the so called reflective equilibrium. They suggest that we can profit from viewing languages as "inferential landscapes" and logicians as "geographers" who map them and try to pave safe routes through them. This book is an essential resource for scholars and researchers engaged with the foundations of logical theories and the philosophy of language.

In this book, Lorraine Besser-Jones develops a eudaimonistic virtue ethics based on a psychological account of human nature. While her project maintains the fundamental features of the eudaimonistic virtue ethical framework-virtue, character, and well-being-she constructs these concepts from an empirical basis, drawing support from the psychological fields of self-determination and self-regulation theory. Besser-Jones's resulting account of "eudaimonic ethics" presents a compelling normative theory and offers insight into what is involved in being a virtuous person and "acting well." This original contribution to contemporary ethics and moral psychology puts forward a provocative hypothesis of what an empirically-based moral theory would look like.

We are happy to present the first volume of the Handbook of Defeasible Reasoning and Uncertainty Management Systems. Uncertainty pervades the real world and must therefore be addressed by every system that attempts to represent reality. The representation of uncertainty is a ma jor concern of philosophers, logicians, artificial intelligence researchers and com puter sciencists, psychologists, statisticians, economists and engineers. The present Handbook volumes provide frontline coverage of this area. This Handbook was produced in the style of previous handbook series like the Handbook of Philosoph ical Logic, the Handbook of Logic in Computer Science, the Handbook of Logic in Artificial Intelligence and Logic Programming, and can be seen as a companion to them in covering the wide applications of logic and reasoning. We hope it will answer the needs for adequate representations of uncertainty. This Handbook series grew out of the ESPRIT Basic Research Project DRUMS II, where the acronym is made out of the Handbook series title. This project was financially supported by the European Union and regroups 20 major European research teams working in the general domain of uncertainty. As a fringe benefit of the DRUMS project, the research community was able to create this Hand book series, relying on the DRUMS participants as the core of the authors for the Handbook together with external international experts."

Moral Inferences is the first volume to thoroughly explore the relationship between morality and reasoning. Drawing on the expertise of world-leading researchers, this text provides ground-breaking insight into the importance of studying these distinct fields together. The volume integrates the latest research into morality with current theories in reasoning to consider the prominent role reasoning plays in everyday moral judgements. Featuring contributions on topics such as moral arguments, causal models, and dual process theory, this text provides a new perspectives on previous studies, encouraging researchers to adopt a more integrated approach in the future. Moral Inferences will be essential reading for students and researchers of moral psychology, specifically those interested in reasoning, rationality and decision-making.

Moral Inferences is the first volume to thoroughly explore the relationship between morality and reasoning. Drawing on the expertise of world-leading researchers, this text provides ground-breaking insight into the importance of studying these distinct fields together. The volume integrates the latest research into morality with current theories in reasoning to consider the prominent role reasoning plays in everyday moral judgements. Featuring contributions on topics such as moral arguments, causal models, and dual process theory, this text provides a new perspectives on previous studies, encouraging researchers to adopt a more integrated approach in the future. Moral Inferences will be essential reading for students and researchers of moral psychology, specifically those interested in reasoning, rationality and decision-making.

This book is not a conventional history of mathematics as such, a museum of documents and scientific curiosities. Instead, it identifies this vital science with the thought of those who constructed it and in its relation to the changing cultural context in which it evolved. Particular emphasis is placed on the philosophic and logical systems, from Aristotle onward, that provide the basis for the fusion of mathematics and logic in contemporary thought. Ettore Carruccio covers the evolution of mathematics from the most ancient times to our own day. In simple and non-technical language, he observes the changes that have taken place in the conception of rational theory, until we reach the lively, delicate and often disconcerting problems of modern logical analysis. The book contains an unusual wealth of detail (including specimen demonstrations) on such subjects as the critique of Euclid's fifth postulate, the rise of non-Euclidean geometry, the introduction of theories of infinite sets, the construction of abstract geometry, and-in a notably intelligible discussion-the development of modern symbolic logic and meta-mathematics. Scientific problems in general and mathematical problems in particular show their full meaning only when they are considered in the light of their own history. This book accordingly takes the reader to the heart of mathematical questions, in a way that teacher, student and layman alike will find absorbing and illuminating. The history of mathematics is a field that continues to fascinate people interested in the course of creativity, and logical inference u quite part and in addition to those with direct mathematical interests.

Epistemic Principles: A Primer of the Theory of Knowledge presents a compact account of the basic principles of the theory of knowledge. In doing this, Nicholas Rescher aims to fill the current gap in contemporary philosophical theory of knowledge with a comprehensive analysis of epistemological fundamentals. The book is not a mere inventory of such rules and principles, but rather interweaves them into a continuous exposition of basic issues. Written at a user-friendly and accessible level, Epistemic Principles is an essential addition for both advanced undergraduate and graduate courses in epistemology.

It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as well as to consumers of logic in many applied areas. The main logic article in the Encyclopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook of Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook of Philosophical Logic, published 1983-1989 came at a fortunate temporal junction at the evolution of logic. This was the time when logic was gaining ground in computer science and artificial intelligence circles. These areas were under increasing commercial pressure to provide devices which help and/or replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other."

Marx's Grundrisse is acknowledged as the vital link between Marx's early and late work. It is also a crucial text in elucidating Marx's debt to the idealist philosopher G.W.F. Hegel. This book, first published in 1988, is the first full-length study of that relationship, in a thorough textual analysis which makes the connections explicit and also the Grundrisse's relations to the works of Adam Smith and Aristotle. This book argues that Marx's critique of political economy, and his critique of Hegel, are double interrelated. Not only did Marx adapt Hegelian logic in order to analyse the economic categories crucial to modern society but it is argued that those logical categories were themselves seen as reflections of the productive processes of contemporary commercial society. Uchida reveals a conceptual structure common to the apparently rarefied world of Hegelian conceptual logic and to the supposedly common-sensical world of economic science. Demonstrating this is a considerable achievement, and it allows us to consider precisely what is valuable today in Marx's critical commentary on this conceptual structure and on the type of society in which it is manifested. Uchida's subject, like Marx's, is 'the force of capital on modern life'.