Originally published in 1991, this volume examines Hegel's political philosophy from the perspective of his argument for constitutional monarchy. It offers an interpretation of Hegelian theory that is relevant for the understanding of modern republican constitutions. Modern republican theories are assessed together with those of Plato, Kant and Marx in order to put Hegel's model to the most rigorous test. The arguments are based on fresh analysis of Hegel's system and on new translations of key passages in Hegel's text.

Originally published in 1987, this volume reflects the diversity in Hegelianism and every branch of philosophy which he contributed to. It includes essays on his contribution to contemporary social philosophy, logic and the philosophy of religion. His work is examined in relation to Marx, Wittgenstein and his social philosophy discussed from a feminist standpoint.

Originally published in 1982, this volume examines the sources of British Hegelian thinking, the lines of its development and intellectual relationships among members of the school. The sources in this book include twentieth century Marxians who pioneered the move 'back to Hegel' such as Gramsci and Lukacs. It includes brief biographical entries of the principal British Hegelians and of minor figures wo paved the way for Hegel's entry into British philosophy.

Originally published in 1973. This book is directed to the student of philosophy whose background in mathematics is very limited. The author strikes a balance between material of a philosophical and a formal kind, and does this in a way that will bring out the intricate connections between the two. On the formal side, he gives particular care to provide the basic tools from set theory and arithmetic that are needed to study systems of logic, setting out completeness results for two, three, and four valued logic, explaining concepts such as freedom and bondage in quantificational logic, describing the intuitionistic conception of the logical operators, and setting out Zermelo's axiom system for set theory. On the philosophical side, he gives particular attention to such topics as the problem of entailment, the import of the Loewenheim-Skolem theorem, the expressive powers of quantificational logic, the ideas underlying intuitionistic logic, the nature of set theory, and the relationship between logic and set theory. There are exercises within the text, set out alongside the theoretical ideas that they involve.

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

Newton's bucket, Einstein's elevator, SchrAdinger's cat a " these are some of the best-known examples of thought experiments in the natural sciences. But what function do these experiments perform? Are they really experiments at all? Can they help us gain a greater understanding of the natural world? How is it possible that we can learn new things just by thinking?

In this revised and updated new edition of his classic text The Laboratory of the Mind, James Robert Brown continues to defend apriorism in the physical world. This edition features two new chapters, one on a oecounter thought experimentsa and another on the development of inertial motion. With plenty of illustrations and updated coverage of the debate between Platonic rationalism and classic empiricism, this is a lively and engaging contribution to the field of philosophy of science.

First published in 1971, Professor Putnam's essay concerns itself with the ontological problem in the philosophy of logic and mathematics - that is, the issue of whether the abstract entities spoken of in logic and mathematics really exist. He also deals with the question of whether or not reference to these abstract entities is really indispensible in logic and whether it is necessary in physical science in general.

This volume tells the story of the legacy and impact of the great German polymath Gottfried Wilhelm Leibniz (1646-1716). Leibniz made significant contributions to many areas, including philosophy, mathematics, political and social theory, theology, and various sciences. The essays in this volume explores the effects of Leibniz's profound insights on subsequent generations of thinkers by tracing the ways in which his ideas have been defended and developed in the three centuries since his death. Each of the 11 essays is concerned with Leibniz's legacy and impact in a particular area, and between them they show not just the depth of Leibniz's talents but also the extent to which he shaped the various domains to which he contributed, and in some cases continues to shape them today. With essays written by experts such as Nicholas Jolley, Pauline Phemister, and Philip Beeley, this volume is essential reading not just for students of Leibniz but also for those who wish to understand the game-changing impact made by one of history's true universal geniuses.

Quine's set theory, New Foundations, has often been treated as an anomaly in the history and philosophy of set theory. In this book, Sean Morris shows that it is in fact well-motivated, emerging in a natural way from the early development of set theory. Morris introduces and explores the notion of set theory as explication: the view that there is no single correct axiomatization of set theory, but rather that the various axiomatizations all serve to explicate the notion of set and are judged largely according to pragmatic criteria. Morris also brings out the important interplay between New Foundations, Quine's philosophy of set theory, and his philosophy more generally. We see that his early technical work in logic foreshadows his later famed naturalism, with his philosophy of set theory playing a crucial role in his primary philosophical project of clarifying our conceptual scheme and specifically its logical and mathematical components.

This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.

Current edition description Written by two of the leading experts in critical thinking, this book focuses on an integrated, universal concept of critical thinking that is both substantive and applicable to any and every situation in which human thinking is necessary. It provides readerse with the basic intellectual tools needed for life-long learning, helping them understand the mind and how its three functions - thinking, feeling, motivation - influence and are influenced by one another. This book fosters the development of fair-minded critical thinking. Features the intellectual standards: clarity, precision, accuracy, logicalness, significance, depth, breadth, and fairness; The importance of good questioning; and intellectual tools to read for deep and lasting comprehension, and to write in ways that show clarity of reasonability of thought. For all that want to improve their critical thinking skills to apply to their job or life. The text features: Think for Yourself activities - throughout each chapter. (Ex. pp 29, 127). ~Help students take ownership of basic concepts as they learn them. Practical and learnable format. ~Simplifies complex ideas to make learning easier for students. Focus on thinking across the disciplines. (Ex. pp 119-120). ~Helps students to think within the various disciplines, rather than memorizing facts. Students are taught to learn to think like an historian, like a scientist, like a psychologist, etc. Critical thinking focus - When students internalize intellectual standards - such as clarity, precision, accuracy, logicalness, significance, depth, breadth, and fairness - they use them on a daily basis to upgrade their thinking, and to assess the thinking of others. (Ex. 12, 152). ~Gives students intellectual standards they can use in every dimension of their thinking. Features intellectual tools to read for deep and lasting comprehension, and to write in ways that show clarity of reasonability of thought. (Ex. 133). ~Teaches students to read closely and write substantively. Good questions are the key to good thinking - Thinkers who know how to ask relevant questions in context are better able to think their way through complex issues. (Ex. pp 83, 87, 93). ~Teaches students to ask the questions the best thinkers ask. Website - www.criticalthinking.org. ~Links students to the world's largest and most prestigious critical thinking website and provides forums for student and faculty discussions. International approach - with translations into German, French, Spanish, Japanese, Chinese, Russian, and Malay. ~Provides students with the opportunity to read portions of the text in their native language. "This book is well-written, lucid and contains abundant examples and applications that not only enliven the subject matter but present relevant contexts for building understanding and advanced critical thinking. In addition, it is faithful to the complexity and work required to improve one's thinking. It does not soft-pedal the challenge but actually throws down the gauntlet to the worthy Reader to pick it up." --Stephen J. Knopp, Ph.D., Ohio University "This concise version is a more comprehensive and robust textbook. Many Critical Thinking books cover thinking from a narrow angle, but Paul and Elder offer a model of critical thinking that can be applied not only to academic disciplines but also to life in general." --Connie Wolfe, Surry Community College

Newton's bucket, Einstein's elevator, SchrAdinger's cat a " these are some of the best-known examples of thought experiments in the natural sciences. But what function do these experiments perform? Are they really experiments at all? Can they help us gain a greater understanding of the natural world? How is it possible that we can learn new things just by thinking?

In this revised and updated new edition of his classic text The Laboratory of the Mind, James Robert Brown continues to defend apriorism in the physical world. This edition features two new chapters, one on a oecounter thought experimentsa and another on the development of inertial motion. With plenty of illustrations and updated coverage of the debate between Platonic rationalism and classic empiricism, this is a lively and engaging contribution to the field of philosophy of science.

Originally published in 1990. This study was first written in 1965 when interest in Leibniz was intensifying. The book looks in detail at the doctrine of necessity - that necessary truths are those derivable from the principle of identity by the substitution of definitions. It first considers views of philosophic predecessors, relating Leibniz' doctrine to Aristotle and Hobbes among others. The second section examines the conflict between his reductionistic and formalistic views and the opposing intuitionism and anti-reductionism of Descartes and Locke. The author critically examines the theory of necessity, including Leibniz's arguments against the views of Hobbes and Locke, concluding with distinctions between necessary and contingent truths.

Originally published in 1994, The Incommensurability Thesis is a critical study of the Incommensurability Thesis of Thomas Kuhn and Paul Feyerabend. The book examines the theory that different scientific theories may be incommensurable because of conceptual variance. The book presents a critique of the thesis and examines and discusses the arguments for the theory, acknowledging and debating the opposing views of other theorists. The book provides a comprehensive and detailed discussion of the incommensurability thesis.

Originally published in 1972, Medieval Logic and Metaphysics shows how formal logic can be used in the clarification of philosophical problems. An elementary exposition of Lesniewski's Onotology, an important system of contemporary logic, is followed by studies of central philosophical themes such as Negation and Non-being, Essence and Existence, Meaning and Reference, Part and Whole. Philosophers and theologians discussed include St Anselm, St Thomas Aquinas, Abelard, Ockham, Scotus, Hume and Russell.

Timothy Smiley has made ground-breaking contributions to modal logic, free logic, multiple-conclusion logic, and plural logic. He has illuminated Aristotlea (TM)s syllogistic, the ideas of logical form and consequence, and the distinction between assertion and rejection, and has worked to debunk the theory of descriptions. This volume brings together new articles by an international roster of leading logicians and philosophers in order to honour Smileya (TM)s work. Their essays will be of significant interest to those working across the logical spectruma "in philosophy of language, philosophical and mathematical logic, and philosophy of mathematics.

First Published in 2004. Routledge is an imprint of Taylor & Francis, an informa company.

The first edition, published by Acumen in 2000, became a prescribed textbook on modal logic courses. The second edition has been fully revised in response to readers' suggestions, including two new chapters on conditional logic, which was not covered in the first edition. "Modal Logics and Philosophy" is a fully comprehensive introduction to modal logics and their application suitable for course use. Unlike most modal logic textbooks, which are both forbidding mathematically and short on philosophical discussion, "Modal Logics and Philosophy" places its emphasis firmly on showing how useful modal logic can be as a tool for formal philosophical analysis. In part 1 of the book, the reader is introduced to some standard systems of modal logic and encouraged through a series of exercises to become proficient in manipulating these logics. The emphasis is on possible world semantics for modal logics and the semantic emphasis is carried into the formal method, Jeffrey-style truth-trees. Standard truth-trees are extended in a simple and transparent way to take possible worlds into account. Part 2 systematically explores the applications of modal logic to philosophical issues such as truth, time, processes, knowledge and belief, obligation and permission.

The first edition, published by Acumen in 2000, became a prescribed textbook on modal logic courses. The second edition has been fully revised in response to readers' suggestions, including two new chapters on conditional logic, which was not covered in the first edition. "Modal Logics and Philosophy" is a fully comprehensive introduction to modal logics and their application suitable for course use. Unlike most modal logic textbooks, which are both forbidding mathematically and short on philosophical discussion, "Modal Logics and Philosophy" places its emphasis firmly on showing how useful modal logic can be as a tool for formal philosophical analysis. In part 1 of the book, the reader is introduced to some standard systems of modal logic and encouraged through a series of exercises to become proficient in manipulating these logics. The emphasis is on possible world semantics for modal logics and the semantic emphasis is carried into the formal method, Jeffrey-style truth-trees. Standard truth-trees are extended in a simple and transparent way to take possible worlds into account. Part 2 systematically explores the applications of modal logic to philosophical issues such as truth, time, processes, knowledge and belief, obligation and permission.

This work is a contribution to certain aspects of idealistic philosophy. It is a comparative study, yet it is not a comparison for the sake of comparison. This book examines the supra-rational Absolutism of the West developed under the Hegelian influence, and in the light of the criticisms shows the peculiar character of the Advaita Vedanta of Sankara. It is therefore not a mere exposition, but a criticism and construction. The discussions are not cosmological, but epistemological and metaphysical, approached from the side of logic. The work may also be viewed as a reorientation of Sankara's system. It places Sankara's philosophy in line with the idealistic philosophies of the West, so that we can understand the peculiarities of the former in terms of the latter. It thus discovers or brings into clearer light the guiding principle of Sankara's thought. It brings out the full significance of the principles of non-contradiction applied by Sankara as a test of truth and reality, and shows its difference from the same principle as understood by Hegel and the Hegelians. The aim of this work is to attempt at laying the metaphysical foundation of the logic of supra-rational Absolutism, the interpretation of Advaita is based mostly on polemical works.

First published in 1998, this volume has its origin in a meeting that was held in Santiago de Compostela University, Santiago de Compostela (Spain) in January 1996. The meeting was organized by the Department of Logic and Philosophy of Science in cooperation with the Association for Logic, Methodology and Philosophy of Science in Spain. Within analytical philosophy issues such as the definability of truth, its semantic relevance, its role in the distinction between formal and natural languages, the status of truth-bearers or in its case of truth-makers, have become a crossroads in the studies of logic, philosophy of science, philosophy of language, philosophy of mind, epistemology and ontology. Thus, in spite of what the title Truth in Perspective may suggest to the reader at first, the present volume is not only - though it is also a presentation of different theories or conceptions of truth. Most of the book presents a vision of different groups of philosophical questions in which the issue of truth appears embedded together with other related themes, from different points of view.

Real Essentialism presents a comprehensive defence of neo-Aristotelian essentialism. Do objects have essences? Must they be the kinds of things they are in spite of the changes they undergo? Can we know what things are really like - can we define and classify reality? Many, if not most, philosophers doubt this, influenced by centuries of empiricism, and by the anti-essentialism of Wittgenstein, Quine, Popper, and other thinkers. Real Essentialism reinvigorates the tradition of realist, essentialist metaphysics, defending the reality and knowability of essence, the possibility of objective, immutable definition, and its relevance to contemporary scientific and metaphysical issues such as whether essence transcends physics and chemistry, the essence of life, the nature of biological species, and the nature of the person.

This book sets out for the first time in English and in the terms of modern logic the semantics of the Port Royal Logic (La Logique ou l'Art de penser, 1662-1685) of Antoine Arnauld and Pierre Nicole, perhaps the most influential logic book in the 17th and 18th centuries. Its goal is to explain how the Logic reworks the foundation of pre-Cartesian logic so as to make it compatible with Descartes' metaphysics. The Logic's authors forged a new theory of reference based on the medieval notion of objective being, which is essentially the modern notion of intentional content. Indeed, the book's central aim is to detail how the Logic reoriented semantics so that it centered on the notion of intentional content. This content, which the Logic calls comprehension, consists of an idea's defining modes. Mechanisms are defined in terms of comprehension that rework earlier explanations of central notions like conceptual inclusion, signification, abstraction, idea restriction, sensation, and most importantly within the Logic's metatheory, the concept of idea-extension, which is a new technical concept coined by the Logic. Although Descartes is famous for rejecting "Aristotelianism," he says virtually nothing about technical concepts in logic. His followers fill the gap. By putting to use the doctrine of objective being, which had been a relatively minor part of medieval logic, they preserve more central semantic doctrines, especially a correspondence theory of truth. A recurring theme of the book is the degree to which the Logic hews to medieval theory. This interpretation is at odds with what has become a standard reading among French scholars according to which this 16th-century work should be understood as rejecting earlier logic along with Aristotelian metaphysics, and as putting in its place structures more like those of 19th-century class theory.

Introduction to Logic is clear and concise, uses interesting examples (many philosophical in nature), and has easy-to-use proof methods. Its key features, retained in this Third Edition, include: simpler ways to test arguments, including an innovative proof method and the star test for syllogisms; a wide scope of materials, suiting it for introductory or intermediate courses; engaging examples, from philosophy and everyday life; useful for self-study and preparation for standardized tests, like the LSAT; a reasonable price (a third the cost of some competitors); and exercises that correspond to the free LogiCola instructional program. This Third Edition: improves explanations, especially on areas that students find difficult; has a fuller explanation of traditional Copi proofs and of truth trees; and updates the companion LogiCola software, which now is touch friendly (for use on Windows tablets and touch monitors), installs more easily on Windows and Macintosh, and adds exercises on Copi proofs and on truth trees. You can still install LogiCola for free (from http://www.harryhiker.com/lc or http://www.routledge.com/cw/gensler).

The topic of vagueness re-emerged in the twentieth century from relative obscurity. It deals with the phenomenon in natural language that manifests itself in apparent semantic indeterminacy - the indeterminacy, for example, that arises when asked to draw the line between the tall and non-tall, or the drunk and the sober. An associated paradox emphasises the challenging nature of the phenomenon, presenting one of the most resilient paradoxes of logic. The apparent threat posed for orthodox theories of the semantics and logic of natural language has become the focus of intense philosophical scrutiny amongst philosophers and non-philosophers alike. Vagueness, Logic and Ontology explores various responses to the philosophical problems generated by vagueness and its associated paradox - the sorites paradox. Hyde argues that the theoretical space in which vagueness is sometimes ontologically grounded and modelled by a truth-functional logic affords a coherent response to the problems posed by vagueness. Showing how the concept of vagueness can be applied to the world, Hyde's ontological account proposes a substantial revision of orthodox semantics, metaphysics and logic. This book will be of particular interest to readers in philosophy, linguistics, cognitive science and geographic information systems.