In this book, Jennifer Moon explores and clarifies critical thinking and provides practical guidance for improving student learning and supporting the teaching process.

Key themes covered include:

• different views of and approaches to critical thinking with an emphasis on a practical basis that can be translated into use in the classroom.
• links between learning, thinking and writing
• the place of critical thinking alongside other academic activities such as reflective learning and argument
• critical thinking and assessment, class environments, staff knowledge and development, writing tasks and oral tasks.

Teachers in all disciplines in post-compulsory education will find this approach to defining and improving studentsa (TM) critical thinking skills invaluable.

Foundational questions in logic, mathematics, computer science and physics are constant sources of epistemological debate in contemporary philosophy. To what extent is the transfinite part of mathematics completely trustworthy? Why is there a general 'malaise' concerning the logical approach to the foundations of mathematics? What is the role of symmetry in physics? Is it possible to build a coherent worldview compatible with a macroobjectivistic position and based on the quantum picture of the world? What account can be given of opinion change in the light of new evidence? These are some of the questions discussed in this volume, which collects 14 lectures on the foundation of science given at the School of Philosophy of Science, Trieste, October 1989. The volume will be of particular interest to any student or scholar engaged in interdisciplinary research into the foundations of science in the context of contemporary debates.

Inferentialism is a philosophical approach premised on the claim that an item of language (or thought) acquires meaning (or content) in virtue of being embedded in an intricate set of social practices normatively governed by inferential rules. Inferentialism found its paradigmatic formulation in Robert Brandom's landmark book Making it Explicit, and over the last two decades it has established itself as one of the leading research programs in the philosophy of language and the philosophy of logic. While Brandom's version of inferentialism has received wide attention in the philosophical literature, thinkers friendly to inferentialism have proposed and developed new lines of inquiry that merit wider recognition and critical appraisal. From Rules to Meaning brings together new essays that systematically develop, compare, assess and critically react to some of the most pertinent recent trends in inferentialism. The book's four thematic sections seek to apply inferentialism to a number of core issues, including the nature of meaning and content, reconstructing semantics, rule-oriented models and explanations of social practices and inferentialism's historical influence and dialogue with other philosophical traditions. With contributions from a number of distinguished philosophers-including Robert Brandom and Jaroslav Peregrin-this volume is a major contribution to the philosophical literature on the foundations of logic and language.

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.

From Concept to Objectivity uncovers the nature and authority of conceptual determination by critically thinking through neglected arguments in Hegel's Science of Logic pivotal for understanding reason and its role in philosophy. Winfield clarifies the logical problems of presuppositionlessness and determinacy that prepare the way for conceiving the concept, examines how universality, particularity, and individuality are determined, investigates how judgment and syllogism are exhaustively differentiated, and, on that basis, explores how objectivity can be categorized without casting thought in irrevocable opposition to reality. Winfield's book will be of interest to readers of Hegel, as well as anyone wondering how thought can be objective.

This book creates a conceptual schema that acts as a correlation between Epistemology and Epistemic Logic. It connects both fields and offers a proper theoretical foundation for the contemporary developments of Epistemic Logic regarding the dynamics of information. It builds a bridge between the view of Awareness Justification Internalism, and a dynamic approach to Awareness Logic. The book starts with an introduction to the main topics in Epistemic Logic and Epistemology and reviews the disconnection between the two fields. It analyses three core notions representing the basic structure of the conceptual schema: "Epistemic Awareness", "Knowledge" and "Justification". Next, it presents the Explicit Aware Knowledge (EAK) Schema, using a diagram of three ellipses to illustrate the schema, and a formal model based on a neighbourhood-model structure, that shows one concrete application of the EAK-Schema into a logical structure. The book ends by presenting conclusions and final remarks about the uses and applications of the EAK-Schema. It shows that the most important feature of the schema is that it serves both as a theoretical correlate to the dynamic extensions of Awareness Logic, providing it with a philosophical background, and as an abstract conceptual structure for a re-interpretation of Epistemology.

Despite there being deep lines of convergence between the philosophies of Alfred North Whitehead, C. S. Peirce, William James, John Dewey, and other classical American philosophers, it remains an open question whether Whitehead is a pragmatist, and conversation between pragmatists and Whitehead scholars have been limited. Indeed, it is difficult to find an anthology of classical American philosophy that includes Whitehead's writings. These camps began separately, and so they remain. This volume questions the wisdom of that separation, exploring their connections, both historical and in application. The essays in this volume embody original and creative work by leading scholars that not only furthers the understanding of American philosophy, but seeks to advance it by working at the intersection of experience and reality to incite novel and creative thought. This exploration is long overdue. Specific questions that are addressed are: Is Whitehead a pragmatist? What contrasts and affinities exist between American pragmatism and Whitehead's thought? What new questions, strategies, and critiques emerge by juxtaposing their distinct perspectives?

Luciano Floridi presents a book that will set the agenda for the philosophy of information. PI is the philosophical field concerned with (1) the critical investigation of the conceptual nature and basic principles of information, including its dynamics, utilisation, and sciences, and (2) the elaboration and application of information-theoretic and computational methodologies to philosophical problems. This book lays down, for the first time, the conceptual foundations for this new area of research. It does so systematically, by pursuing three goals. Its metatheoretical goal is to describe what the philosophy of information is, its problems, approaches, and methods. Its introductory goal is to help the reader to gain a better grasp of the complex and multifarious nature of the various concepts and phenomena related to information. Its analytic goal is to answer several key theoretical questions of great philosophical interest, arising from the investigation of semantic information.

The Price of Doubt is an important contribution to the problem of scepticism. It offers a new standard for the appraisal of philosophical arguments. Nicholas Nathan confronts the sceptic. He questions the value of his argument and the knowledge it contains and provides a potential remedy to the frustrations of anti-sceptical epistemology.

The notion of logical form and its applications are at the heart of some of the classical problems in philosophical logic and are the focus of Peter Long's investigations in the three essays that comprise this volume. In the first, major, essay the concern is with the notion of logical form as it applies to arguments involving hypotethical statements, for example 'If today is Wednesday then tomorrow is Thursday; today is Wednesday: therefore tomorrow is Thursday.' Whilst such an argument (an argument by modus ponens) is cited by logical textbooks as a paradigm of one that is 'formally valid', it is not hard to show that the conjunction forming a hypothetical statement is not a logical constant, in which case the argument form If p then q; p: therefore q is not a logical form. But, then, how can logic claim to be the science of formal inference? The author resolves this difficulty by drawing a fundamental distinction within the notion of the form under which an argument is valid. With this distinction it becomes possible for the first time to determine the status of any formally valid argument involving hypotheticals, whether as premises or conclusion or both. The second and third essays take up the notion of logical form as it applies to such simple propositions as 'This sheet is white' and 'London is north of Paris.' When we speak of the first as giving expression to the relation of relations's relating to its terms, what is in question is a formal relation and we call it such because the relation is expressed through these propositions having the respective forms Fa and Fab. It is shown that the confusion of formal relations with relations proper explains the assimilation of facts to complexes and is that the root of the theory of universals. Peter Long has taught at the University of Leeds and University College London, and is a past Fellow of Trinity College, Cambridge.

This collection of essays presents cutting-edge research on a classic philosophical problem --- the link between reasoning and practice. The essays, by such well-known thinkers as Davidson, Scheffler, Sunstein, Dworkin, and Stroud, cover a range of issues raised by the move from thought to action. The book represents an inquiry into the very nature of reason, reasoning and reasons, rationale, rationalization, and rationality. These essays also connect philosophical thought with concrete issues in social life and political practice, thus, it will be of interest not only to philosophers, but also to political theorists, legal scholars, and any researcher interested in the practical applications of reason.

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 methods of logic are essential to an understanding of philosophy and are crucial in the study of mathematics, computing, linguistics and many other subjects. Introducing the major concepts and techniques involved in the study of logic, this authoritative book explores both formal and philosophical logic, and the ways in which we can achieve good reasoning. Individual chapters include: * Propositions and Arguments * Truth Tables * Trees * Conditionality * Natural Deduction * Predicates, Names and Quantifiers * Definite Descriptions. This exceptionally clear introduction to the subject is ideally suited to students taking introductory courses in logic.

The methods of logic are essential to an understanding of philosophy and are crucial in the study of mathematics, computing, linguistics and many other subjects. Introducing the major concepts and techniques involved in the study of logic, this authoritative book explores both formal and philosophical logic, and the ways in which we can achieve good reasoning. Individual chapters include:

* Propositions and Arguments
* Truth Tables
* Trees
* Conditionality
* Natural Deduction
* Predicates, Names and Quantifiers
* Definite Descriptions.

This exceptionally clear introduction to the subject is ideally suited to students taking introductory courses in logic.

Bringing together scholars from a broad range of theoretical perspectives, The Language of Argumentation offers a unique overview of research at the crossroads of linguistics and theories of argumentation. In addition to theoretical and methodological reflections by leading scholars in their fields, the book contains studies of the relationship between language and argumentation from two different viewpoints. While some chapters take a specific argumentative move as their point of departure and investigate the ways in which it is linguistically manifested in discourse, other chapters start off from a linguistic construction, trying to determine its argumentative function and rhetorical potential. The Language of Argumentation documents the currently prominent research on stylistic aspects of argumentation and illustrates how the study of argumentation benefits from insights from linguistic models, ranging from theoretical pragmatics, politeness theory and metaphor studies to models of discourse coherence and construction grammar.

The 'death' of German Idealism has been decried innumerable times since its revolutionary inception, whether it be by the 19th-century critique of Western metaphysics, phenomenology, contemporary French philosophy, or analytic philosophy. Yet in the face of two hundred years of sustained, extremely rigorous attempts to leave behind its legacy, German Idealism has resisted its philosophical death sentence. For this exact reason it is timely ask: What remains of German Idealism? In what ways does its fundamental concepts and texts still speak to us? Drawing together new and established voices from scholars in Kant, Fichte, Hegel, and Schelling, this volume offers a fresh look on this time-honoured tradition. It uses myriad of recently developed conceptual tools to present new and challenging theories of its now canonical figures.

Originally published in 1988. This text gives a lucid account of the most distinctive and influential responses by twentieth century philosophers to the problem of the unity of the proposition. The problem first became central to twentieth-century philosophy as a result of the depsychoiogising of logic brought about by Bradley and Frege who, responding to the 'Psychologism' of Mill and Hume, drew a sharp distinction between the province of psychology and the province of logic. This author argues that while Russell, Ryle and Davidson, each in different ways, attempted a theoretical solution, Frege and Wittgenstein (both in the Tractatus and the Investigations) rightly maintained that no theoretical solution is possible. It is this which explains the importance Wittgenstein attached in his later work to the idea of agreement in judgments. The two final chapters illustrate the way in which a response to the problem affects the way in which we think about the nature of the mind. They contain a discussion of Strawson's concept of a person and provide a striking critique of the philosophical claims made by devotees of artificial intelligence, in particular those made by Daniel Dennett.

Originally published in 1941. Professor Ushenko treats of current problems in technical Logic, involving Symbolic Logic to a marked extent. He deprecates the tendency, in influential quarters, to regard Logic as a branch of Mathematics and advances the intuitionalist theory of Logic. This involves criticism of Carnap, Russell,Wittgenstein, Broad and Whitehead, with additional discussions on Kant and Hegel. The author believes that the union of Philosophy and Logic is a natural one, and that an exclusively mathematical treatment cannot give an adequate account of Logic. A fundamental characteristic of Logic is comprehensiveness, which brings out the affinity between logic and philosophy, for to be comprehensive is the aim of philosophical ambition.

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.

Published in 1946, this volume does not purpose to be a treatise on logic. The author's contributions to the substance of logical doctrine have been made in his other works. What he has attempted in the studies that form this volume is an exploration of the periphery of logic, the relation of logic to the rest of the universe, the philosophical presuppositions which give logic its meaning and the applications which give it importance. It is his belief that formal logic is the heart of philosophy, since the subject matter of logic is the formal aspect of all being. From this standpoint he explores the relation of logic to such fields of study as natural science, ethics, history and general philosophy.

This text provides a truly comprehensive guide to one of the most important and challenging works of modern philosophy. The systematic complexity of Hegel's radical project in the Science of Logic prevents many from understanding and appreciating its value. By independently and critically working through Hegel's argument, this book offers an enlightening aid for study and anchors the Science of Logic at a central position in the philosophical canon.

Most of the major twentieth-century thinkers develop their thought through critical dialogues with their predecessors. This anthology brings together a selection of these dialogues, offering a fresh approach to modern critical thought from Marx through to the present day.

The essays, lectures and reviews featured in this volume represent thinkers from Lukacs and Heidegger to Judith Butler and Slavoj Zižek. Often at their most accessible introducing their own key influences and predecessors, these writings therefore provide an ideal way into the traditions of modern critical thought and into their own more difficult writings. As the reader proceeds through the book, the pieces build into a series of overlapping conversations and arguments, spanning different generations and crossing boundaries between French, German and English thought. The book offers an invaluable introduction to traditions of Marxist critical theory, phenomenology, psychoanalysis, post-structuralism and post-modern discourse.

The anthology opens with an introductory essay in which the editor introduces key critical terms and maps out the contested terrain of criticism and critique implicit in the choice of particular works. He also introduces each text with contextualizing notes and suggestions for further reading.

This book gives an overview of paraconsistent logics--that is logics which allow for inconsistency. Although allowing for inconsistency, paraconsistent logics are worth considering: Logical systems are worth considering in their own right since we can learn about very abstract structural properties of logics and the concepts employed within them such as negation, necessity and consistency. Some non-classical logics are especially of interest from a philosophical perspective since they alone offer the possibility of solving or even stating some philosophical problems. These introductory lecturers argue from a philosophical perspective that some paraconsistent logics are of interest or even the best candidates for dealing with specific philosophical problems. Although logic is seen from the point of view of its philosophical use, various formal systems are described, compared and employed.

This landmark dissertation (1961) provides a systematic introduction to systems of modal logic and stands as the first presentation of what have become central ideas in philosophy of language and metaphysics, from the 'new theory of reference' and non-linguistic necessity and essentialism to 'Kripke semantics'.

From the author of Wittgenstein's Poker and Would You Kill the Fat Man?, the story of an extraordinary group of philosophers during a dark chapter in Europe's history On June 22, 1936, the philosopher Moritz Schlick was on his way to deliver a lecture at the University of Vienna when Johann Nelboeck, a deranged former student of Schlick's, shot him dead on the university steps. Some Austrian newspapers defended the madman, while Nelboeck himself argued in court that his onetime teacher had promoted a treacherous Jewish philosophy. David Edmonds traces the rise and fall of the Vienna Circle-an influential group of brilliant thinkers led by Schlick-and of a philosophical movement that sought to do away with metaphysics and pseudoscience in a city darkened by fascism, anti-Semitism, and unreason. The Vienna Circle's members included Otto Neurath, Rudolf Carnap, and the eccentric logician Kurt Goedel. On its fringes were two other philosophical titans of the twentieth century, Ludwig Wittgenstein and Karl Popper. The Circle championed the philosophy of logical empiricism, which held that only two types of propositions have cognitive meaning, those that can be verified through experience and those that are analytically true. For a time, it was the most fashionable movement in philosophy. Yet by the outbreak of World War II, Schlick's group had disbanded and almost all its members had fled. Edmonds reveals why the Austro-fascists and the Nazis saw their philosophy as such a threat. The Murder of Professor Schlick paints an unforgettable portrait of the Vienna Circle and its members while weaving an enthralling narrative set against the backdrop of economic catastrophe and rising extremism in Hitler's Europe.