First published in 1943, and revised for this 1952 edition, this book was intended for use by students of philosophy and as such traditional and modern developments in logic have been combined in a unified treatment. The author envisaged this volume as filling a gap for a simple, introductory text on formal logic, written from a modern point of view, unencumbered by traditional doctrine. This title provides a thorough introduction and grounding in the philosophy of logic, and was later revised after the author's death to correct a number of logical errors - making this edition the most complete version of the work.

When did Rembrandt get old? If you keep removing single grains of sand from a heap when is it no longer a heap? These questions and the many others like them will eventually lead us to the problem of vagueness. Timothy Williamson traces the history of the problem from discussions of the heap paradox in classical Greece to modern formal approaches, such as fuzzy logic. He shows the problems with views which have taken the position that standard logic and formal semantics do not apply to vague languages and defends the controversial realist view that vagueness is a kind of ignorance - there really is a grain of sand whose removal turns a heap into a non-heap, but we cannot know which one it is.

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From alcohol and drug addiction to rage on national highways and in airports, many human beings have kept themselves in perpetual turmoil and despair. From encroachment on individual rights and liberties to wars of attrition and mass genocide, human history has continually repeated itself due to a failure to see the light. Containing numerous skill-building exercises, Critical Thinking Unleashed seeks to cultivate the reasoning skills required to overcome such destructive human tendencies and to live meaningful and productive lives in a democratic society. In contrast to other treatments of practical reasoning, Elliot D. Cohen not only teaches students how to identify and refute irrational premises he also teaches them how to construct rational antidotes to combat the personal, social, and political obstacles they confront in everyday life. Moreover, Cohen encourages students to use the theories and ideas embodied in the history of philosophy in order to construct these rational guides, drawing examples from many contemporary sources. Demonstrating the practical relevance and import of many historically significant philosophers (e.g. Socrates, Aristotle, Epictetus, Hume, Kant, Mill, Sartre, and Nietzsche), the book presents a practical, non-technical, and comprehensive approach to critical thinking."

"This is a learned book without being ponderous; a book which explores most abstruse regions of philosophy and social theory while remaining legible and lucid thoughts; uncompromising in its determination to confront all the ecruciatingly complex issues of Foucault's legacy and its manifold reprecussions, without ever losing the reader's attention and facing the readers with an argument they can follow, assimilate and learn from "Zygmunt Bauman, Emeritus Professor in Sociology, Leeds University
This book places Foucault's methodologies against central currents in soical theory and philosophy to provide a guide to doing historical sociology and to chart an original position on the condition of social science today. It is addressed to those working at the cutting edge of social research and to those who wish to understand Foucault's legacy.

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In the past 15 years a host of critical thinking books have appeared that teach students to find flaws in the arguments of others by learning to detect a number of informal fallacies. This book is not in that tradition. The authors of this book believe that while students learn to become vicious critics, they still continue to make the very mistakes they criticize in others. Thus, this book has adopted the approach of teaching the construction of good arguments first and then introducing criticism as a secondary skill. Moreover, the emphasis of the book is not on learning to name fallacies, but on being able to identify weaknesses in an argument so as to be able to construct an effective critique of that argument. The book is accompanied by a workbook featuring a wealth of examples to help students acquire the material.

In the past 15 years a host of critical thinking books have appeared that teach students to find flaws in the arguments of others by learning to detect a number of informal fallacies. This book is not in that tradition. The authors of this book believe that while students learn to become vicious critics, they still continue to make the very mistakes they criticize in others. Thus, this book has adopted the approach of teaching the construction of good arguments first and then introducing criticism as a secondary skill. Moreover, the emphasis of the book is not on learning to name fallacies, but on being able to identify weaknesses in an argument so as to be able to construct an effective critique of that argument. The book is accompanied by a workbook featuring a wealth of examples to help students acquire the material.

This is the first book to systematically study the weak systems of mereology. In its chapters, the author critically analyzes and explains core topics related to mereology, such as parthood without antisymmetry, non-existence of the zero element, and Lesniewski's notion of class and set. The book also delves into three theories of parthood: two concern the sum existence axioms, and the third contends with transitivity of parthood. This is the first systematic analysis of systems of mereology of its kind and is suitable for students, scholars, logicians, and mathematicians who wish to further their knowledge of mereology. Original polish publication "Podstawy teorii czesci" by The Nicolaus Copernicus University Press

Epistemic Logic studies statements containing verbs such as 'know' and 'wish'. It is one of the most exciting areas in medieval philosophy. Neglected almost entirely after the end of the Middle Ages, it has been rediscovered by philosophers of the present century. This is the first comprehensive study of the subject. Ivan Boh explores the rules for entailment between epistemic statements, the search for the conditions of knowing contingent propositions, the problems of substitutivity in intentional contexts, the relationship between epistemic and modal logic, and the problems of composite and divided senses in authors ranging from Abelard to Frachantian.

G.E. Moore, more than either Bertrand Russell or Ludwig Wittgenstein, was chiefly responsible for the rise of the analytic method in twentieth-century philosophy. This selection of his writings shows Moore at his very best.
The classic essays are crucial to major philosophical debates that still resonate today. Amongst those included are:
* A Defense of Common Sense
* Certainty
* Sense-Data
* External and Internal Relations
* Hume's Theory Explained
* Is Existence a Predicate?
* Proof of an External World
In addition, this collection also contains the key early papers in which Moore signals his break with idealism, and three important previously unpublished papers from his later work which illustrate his relationship with Wittgenstein.

In these essays Geoffrey Hellman presents a strong case for a healthy pluralism in mathematics and its logics, supporting peaceful coexistence despite what appear to be contradictions between different systems, and positing different frameworks serving different legitimate purposes. The essays refine and extend Hellman's modal-structuralist account of mathematics, developing a height-potentialist view of higher set theory which recognizes indefinite extendability of models and stages at which sets occur. In the first of three new essays written for this volume, Hellman shows how extendability can be deployed to derive the axiom of Infinity and that of Replacement, improving on earlier accounts; he also shows how extendability leads to attractive, novel resolutions of the set-theoretic paradoxes. Other essays explore advantages and limitations of restrictive systems - nominalist, predicativist, and constructivist. Also included are two essays, with Solomon Feferman, on predicative foundations of arithmetic.

This book examines the tension between formal and informal methods in philosophy. The rise of analytic philosophy was accompanied by the development of formal logic and many successful applications of formal methods. But analytical philosophy does not rely on formal methods alone. Elements of broadly understood informal logic and logical semiotics, procedures used in natural sciences and humanities, and various kinds of intuition also belong to the philosopher's toolkit. Papers gathered in the book concern the opposition formality-informality as well as other pairs, such as methodology versus metaphilosophy, interdisciplinarity versus intradisciplinarity, and methodological uniformity versus diversity of sciences. Problems of the nature of logic and the explanatory role of mathematical theories are also discussed.

This volume gives a theoretical account of the problem of analyzing and evaluating argumentative discourse. After placing argumentation in a communicative perspective, and then discussing the fallacies that occur when certain rules of communication are violated, the authors offer an alternative to both the linguistically-inspired descriptive and logically-inspired normative approaches to argumentation.
The authors characterize argumentation as a complex speech act in a critical discussion aimed at resolving a difference of opinion. The various stages of a critical discussion are outlined, and the communicative and interactional aspects of the speech acts performed in resolving a simple or complex dispute are discussed. After dealing with crucial aspects of analysis and linking the evaluation of argumentative discourse to the analysis, the authors identify the fallacies that can occur at various stages of discussion. Their general aim is to elucidate their own pragma- dialectical perspective on the analysis and evaluation of argumentative discourse, bringing together pragmatic insight concerning speech acts and dialectical insight concerning critical discussion.

According to Bayesian epistemology, rational learning from experience is consistent learning, that is learning should incorporate new information consistently into one's old system of beliefs. Simon M. Huttegger argues that this core idea can be transferred to situations where the learner's informational inputs are much more limited than Bayesianism assumes, thereby significantly expanding the reach of a Bayesian type of epistemology. What results from this is a unified account of probabilistic learning in the tradition of Richard Jeffrey's 'radical probabilism'. Along the way, Huttegger addresses a number of debates in epistemology and the philosophy of science, including the status of prior probabilities, whether Bayes' rule is the only legitimate form of learning from experience, and whether rational agents can have sustained disagreements. His book will be of interest to students and scholars of epistemology, of game and decision theory, and of cognitive, economic, and computer sciences.

The mathematical proof is the most important form of justification in mathematics. It is not, however, the only kind of justification for mathematical propositions. The existence of other forms, some of very significant strength, places a question mark over the prominence given to proof within mathematics. This collection of essays, by leading figures working within the philosophy of mathematics, is a response to the challenge of understanding the nature and role of the proof.

Sums up the many fields of study where ignorance can undermine our understanding, while showing how an awareness of ignorance can lead to exploration and the discovery of new knowledge. The flip side of knowledge is ignorance. This book explores the vast scope of ignorance, even in an age when we think we know more than ever before. By marking off this ocean of ignorance into manageable categories, the author provides a kind of navigational chart to the unknown, and a series of red flags to all those who claim certitude. The book first lays out the many branches of ignorance--in education, the media, politics, religion, science, and other major institutions. It then assesses the costs and consequences of that ignorance. World conflicts, endemic poverty, environmental damage, waste, racism, and the manipulative forces of industry and politics that use propaganda to manipulate the public may all be seen as rooted in ignorance. But there are positive aspects of ignorance as well. Scientists and artists, by recognizing what they don't know, are spurred on to new creative approaches and discoveries, which would never be found by those too comfortable with the tried and true. The author cites Socrates, whom the Delphic Oracle declared to be the wisest of all people simply because he realized how much he didn't know. This book gives you ways to follow in the path that Socrates forged, to counter the closed minds whose false sense of certainty cannot help but distort reality, and to be better prepared to take on even the most serious challenges of today.

John Stuart Mill considered his A System of Logic, first published in 1843, the methodological foundation and intellectual groundwork of his later works in ethical, social, and political theory. Yet no book has attempted in the past to engage with the most important aspects of Mill's Logic. This volume brings together leading scholars to elucidate the key themes of this influential work, looking at such topics as his philosophy of language and mathematics, his view on logic, induction and deduction, free will, argumentation, ethology and psychology, as well as his account of normativity, kinds of pleasure, philosophical and political method and the "Art of Life."

The introduction of Greek philosophy into the Muslim world left an indelible mark on Islamic intellectual history. Philosophical discourse became a constant element in even traditionalist Islamic sciences. However, Aristotelian metaphysics gave rise to doctrines about God and the universe that were found highly objectionable by a number of Muslim theologians, among whom the fourteenth-century scholar Ibn Taymiyya stood foremost.

Ibn Taymiyya, one of the greatest and most prolific thinkers in medieval Islam, held Greek logic responsible for the `heretical' metaphysical conclusions reached by Islamic philosophers, theologians, mystics, and others. He therefore set out to refute philosophical logic, a task which culminated in one of the most devastating attacks ever levelled against the logical system upheld by the early Greeks, the later commentators, and their Muslim followers. His argument is grounded in an empirical approach that in many respects prefigures the philosophies of the British empiricists.

Professor Hallaq's translation, with a substantial introduction and extensive notes, makes this important work available to a wider audience for the first time.

Philosophy means 'love of wisdom,' but author Edmond Holmes fears the encroaching dominance of intellect over feeling. In this title, Holmes argues that metaphysics' reliance on intellect and pure reason undermines the study of philosophy. Rather, Holmes suggests a return to intuitional philosophy, combining thought and feeling. First published in 1930, this title will be ideal for students interested in Philosophy and Western Civilisation.

This work investigates problems about mind, meaning and mathematics rooted in preconceptions of language. It deals in particular with problems which are connected with our tendency to be misled by certain prevailing views and preconceptions about language. Philosophical claims made by theorists of meaning are scrutinized and shown to be connected with common views about the nature of certain mathematical notions and methods. Drawing in particular on Wittgenstein's ideas, the author demonstrates a strategy for tracing out and resolving conceptual and philosophical problems. By a critical examination of examples from different areas of philosophy, he shows that many problems arise through the transgression of the limits of the use of technical concepts and formal methods. Many 'prima facie' different kinds of problems are shown to have common roots, and should thus be dealt with and resolved together. Such an approach is usually prevented by the influence of traditional philosophical terminology and classification. The results of this investigation make it clear that the received ways of subdividing the subject matter of philosophy often conceal the roots of the problem.

Originally published in 1938. This compact treatise is a complete treatment of Aristotle's logic as containing negative terms. It begins with defining Aristotelian logic as a subject-predicate logic confining itself to the four forms of categorical proposition known as the A, E, I and O forms. It assigns conventional meanings to these categorical forms such that subalternation holds. It continues to discuss the development of the logic since the time of its founder and address traditional logic as it existed in the twentieth century. The primary consideration of the book is the inclusion of negative terms - obversion, contraposition etc. - within traditional logic by addressing three questions, of systematization, the rules, and the interpretation.

This book is intended as a first introduction to the subject. It deals with questions of truth and meaning, questions which provide a basis for much of what is discussed in philosophy in general. This book should be of interest to students of philosophy.

This second volume in the series Logic, Epistemology, and the Unity of Science brings a pragmatic perspective to the discussion of the unity of science.

Contemporary philosophy and cognitive science increasingly acknowledge the systematic interrelation of language, thought and action. The principal function of language is to enable speakers to communicate their intentions to others, to respond flexibly in a social context and to act cooperatively in the world. This book will contribute to our understanding of this dynamic process by clearly presenting and discussing the most important hypotheses, issues and theories in philosophical and logical study of language, thought and action. Among the fundamental issues discussed are the rationality and freedom of agents, theoretical and practical reasoning, individual and collective attitudes and actions, the nature of cooperation and communication, the construction and conditions of adequacy of scientific theories, propositional contents and their truth conditions, illocutionary force, time, aspect and presupposition in meaning, speech acts within dialogue, the dialogical approach to logic and the structure of dialogues and other language games, as well as formal methods needed in logic or artificial intelligence to account for choice, paradoxes, uncertainty and imprecision.

This volume contains major contributions by leading logicians, analytic philosophers, linguists and computer scientists. It will be of interest to graduate students and researchers from philosophy, logic, linguistics, cognitive science and artificial intelligence. There is no comparable survey in the existing literature.

Perhaps everyone who can think has the concept of possibility, but no one understands it. The metaphysical theory of Determinism is a symptom of this lack of understanding, and the inconclusiveness of its opponents' arguments indicates that the lack is universal. In this book, first published in 1968, the author shows that there are a number of different kinds on non-logical possibility, subtly interrelated, each requiring separate explanation. An original contribution to the subject, it is essential reading for all students of philosophy.

This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search, areas of logic that are becoming important in computer science. A systematic foundational text on these emerging topics, it includes proof-theoretic, semantic/model-theoretic and algorithmic aspects. The scope ranges from the conceptual background to reductive logic, through its mathematical metatheory, to its modern applications in the computational sciences. Suitable for researchers and graduate students in mathematical, computational and philosophical logic, and in theoretical computer science and artificial intelligence, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (2nd Edition), Dov M. Gabbay, Mark A. Reynolds, and Marcelo Finger's Temporal Logic Mathematical Foundations and Computational Aspects , J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and Nonmonotonic Reasoning , and P. T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2 .