For centuries, the sorites paradox has spurred philosophers to think and argue about the problem of vagueness. This volume offers a guide to the paradox which is both an accessible survey and an exposition of the state of the art, with a chapter-by-chapter presentation of all of the main solutions to the paradox and of all its main areas of influence. Each chapter offers a gentle introduction to its topic, gradually building up to a final discussion of some open problems. Students will find a comprehensive guide to the fundamentals of the paradox, together with lucid explanations of the challenges it continues to raise. Researchers will find exciting new ideas and debates on the paradox.

Analytic Philosophy: An Interpretive History explores the ways interpretation (of key figures, factions, texts, etc.) shaped the analytic tradition, from Frege to Dummet. It offers readers 17 chapters, written especially for this volume by an international cast of leading scholars. Some chapters are devoted to large, thematic issues like the relationship between analytic philosophy and other philosophical traditions such as British Idealism and phenomenology, while other chapters are tied to more fine-grained topics or to individual philosophers, like Moore and Russell on philosophical method or the history of interpretations of Wittgenstein's Tractatus. Throughout, the focus is on interpretations that are crucial to the origin, development, and persistence of the analytic tradition. The result is a more fully formed and philosophically satisfying portrait of analytic philosophy.

Analytic Philosophy: An Interpretive History explores the ways interpretation (of key figures, factions, texts, etc.) shaped the analytic tradition, from Frege to Dummet. It offers readers 17 chapters, written especially for this volume by an international cast of leading scholars. Some chapters are devoted to large, thematic issues like the relationship between analytic philosophy and other philosophical traditions such as British Idealism and phenomenology, while other chapters are tied to more fine-grained topics or to individual philosophers, like Moore and Russell on philosophical method or the history of interpretations of Wittgenstein's Tractatus. Throughout, the focus is on interpretations that are crucial to the origin, development, and persistence of the analytic tradition. The result is a more fully formed and philosophically satisfying portrait of analytic philosophy.

Paradoxes are arguments that lead from apparently true premises, via apparently uncontroversial reasoning, to a false or even contradictory conclusion. Paradoxes threaten our basic understanding of central concepts such as space, time, motion, infinity, truth, knowledge, and belief.In this volume Roy T Cook provides a sophisticated, yet accessible and entertaining, introduction to the study of paradoxes, one that includes a detailed examination of a wide variety of paradoxes. The book is organized around four important types of paradox: the semantic paradoxes involving truth, the set-theoretic paradoxes involving arbitrary collections of objects, the Soritical paradoxes involving vague concepts, and the epistemic paradoxes involving knowledge and belief. In each of these cases, Cook frames the discussion in terms of four different approaches one might take towards solving such paradoxes. Each chapter concludes with a number of exercises that illustrate the philosophical arguments and logical concepts involved in the paradoxes."Paradoxes" is the ideal introduction to the topic and will be a valuable resource for scholars and students in a wide variety of disciplines who wish to understand the important role that paradoxes have played, and continue to play, in contemporary philosophy.

This volume presents the best scholarship from the 19th National Communication Association/American Forensic Association Conference on Argumentation, which took place July 30-August 2, 2015, at Cliff Lodge, Snowbird Resort, in Alta, Utah. The Alta Conference, first held in 1979, is the oldest conference in argumentation studies in the world and biennially brings together a lively group of scholars, representing a variety of countries, with diverse perspectives on the theory and practice of argument. The essays in Recovering Argument invite reflection upon and reconsideration of argumentation's legacy, present status, and potential roles in social, cultural, and political life. Readers will encounter essays that treat the relationship between argumentation and memory, historical approaches to argumentation, the vitality of public and interpersonal argument, argument's role in leadership, discursive and presentational forms of argument, and the challenges of difference. Readers also will find these topics addressed from a variety of historical, social-scientific, and critical-interpretive perspectives.

A paradox can be defined as an unacceptable conclusion derived by apparently acceptable reasoning from apparently acceptable premises. Many paradoxes raise serious philosophical problems, and they are associated with crises of thought and revolutionary advances. The expanded and revised third edition of this intriguing book considers a range of knotty paradoxes including Zeno's paradoxical claim that the runner can never overtake the tortoise, a new chapter on paradoxes about morals, paradoxes about belief, and hardest of all, paradoxes about truth. The discussion uses a minimum of technicality but also grapples with complicated and difficult considerations, and is accompanied by helpful questions designed to engage the reader with the arguments. The result is not only an explanation of paradoxes but also an excellent introduction to philosophical thinking.

Now reissued for contemporary readers, this entertaining primer on critical thinking has been teaching people to think and speak more clearly for more than four decades. Do you know when you're being deceived? Can you trust the information coming from Washington, the media, and the Internet? This classic work on critical thinking uses a novel approach to teach the basics of informal logic. On the assumption that "it takes one to know one," the authors have written the book from the point of view of someone who wishes to deceive, mislead, or manipulate others. Having mastered the art of deception, readers will then be able to detect the misuse or abuse of logic when they encounter it in others -- whether in a heated political debate or while trying to evaluate the claims of a persuasive sales person. Using a host of real-world examples, the authors show you how to win an argument, defend a case, recognize a fallacy, see through deception, persuade a skeptic, and turn defeat into victory. Whether you're evaluating a social media rumor or you just want to become more adept at making your points and analyzing others' arguments, The Art of Deception--now with an updated preface--will give you the intellectual tools to become a more effective thinker and speaker. Helpful exercises and discussion questions are also included.

In this book, David Stump traces alternative conceptions of the a priori in the philosophy of science and defends a unique position in the current debates over conceptual change and the constitutive elements in science. Stump emphasizes the unique epistemological status of the constitutive elements of scientific theories, constitutive elements being the necessary preconditions that must be assumed in order to conduct a particular scientific inquiry. These constitutive elements, such as logic, mathematics, and even some fundamental laws of nature, were once taken to be a priori knowledge but can change, thus leading to a dynamic or relative a priori. Stump critically examines developments in thinking about constitutive elements in science as a priori knowledge, from Kant's fixed and absolute a priori to Quine's holistic empiricism. By examining the relationship between conceptual change and the epistemological status of constitutive elements in science, Stump puts forward an argument that scientific revolutions can be explained and relativism can be avoided without resorting to universals or absolutes.

When many people are involved in an activity, it is often difficult, if not impossible, to pinpoint who is morally responsible for what, a phenomenon known as the 'problem of many hands.' This term is increasingly used to describe problems with attributing individual responsibility in collective settings in such diverse areas as public administration, corporate management, law and regulation, technological development and innovation, healthcare, and finance. This volume provides an in-depth philosophical analysis of this problem, examining the notion of moral responsibility and distinguishing between different normative meanings of responsibility, both backward-looking (accountability, blameworthiness, and liability) and forward-looking (obligation, virtue). Drawing on the relevant philosophical literature, the authors develop a coherent conceptualization of the problem of many hands, taking into account the relationship, and possible tension, between individual and collective responsibility. This systematic inquiry into the problem of many hands pertains to discussions about moral responsibility in a variety of applied settings.

This open access book is the first ever collection of Karl Popper's writings on deductive logic. Karl R. Popper (1902-1994) was one of the most influential philosophers of the 20th century. His philosophy of science ("falsificationism") and his social and political philosophy ("open society") have been widely discussed way beyond academic philosophy. What is not so well known is that Popper also produced a considerable work on the foundations of deductive logic, most of it published at the end of the 1940s as articles at scattered places. This little-known work deserves to be known better, as it is highly significant for modern proof-theoretic semantics. This collection assembles Popper's published writings on deductive logic in a single volume, together with all reviews of these papers. It also contains a large amount of unpublished material from the Popper Archives, including Popper's correspondence related to deductive logic and manuscripts that were (almost) finished, but did not reach the publication stage. All of these items are critically edited with additional comments by the editors. A general introduction puts Popper's work into the context of current discussions on the foundations of logic. This book should be of interest to logicians, philosophers, and anybody concerned with Popper's work.

THE ELEMENTS OF REASONING is a concise and lucid introduction to the basic elements of argumentative prose and the conceptual tools necessary to understand, analyze, criticize, and construct arguments. This text is not only perfect for a college course in argument analysis, but also as a reference tool when confronted with arguments outside the classroom experience. While THE ELEMENTS OF REASONING covers the standard formal tools of introductory logic, its emphasis is on practical applications to the kinds of arguments students most often encounter.

When is a reason for doing or believing something a good reason? Over the past century, logic's contribution to answering this question has typically involved finding ''logical forms": that is, using a special notation to bring out logical features more clearly.

The correct identification of logical forms has been held to be important not only to logic but also to philosophy. Bertrand Russell coined the phrase "philosophical logic" to describe an approach to philosophical problems: find the correct logical form of the problematic sentences, and the problems vanish. "Logical Forms" explains both the theoretical underpinnings of the approach and the detailed problems involved in finding logical forms in the languages of propositional logic, classical first order logic, modal logic, and some alternatives such as free logic, binary and substitutional quantifiers.

This revised edition incorporates results of recent work. Chapter 3 on conditionals, and the sections dealing with predicate quantifiers, free logics and subjunctive conditionals have been completely rewritten. The exercises are integrated throughout the book, and each chapter concludes with updated notes to guide further reading. The result is a genuinely interactive introduction which engages the reader in developing the argument.

This book does not presuppose knowledge of deductive methods in formal logic and it will be of immense benefit to those approaching philosophical logic for the first time.

""Thinking about Logic"" is an accessible and thought-provoking collection of classic articles in the philosophy of logic. An ideal companion to any formal logic course or textbook, this volume illuminates how logic relates to perennial philosophical issues about knowledge, meaning, rationality, and reality. The editors have selected each essay for its brevity, clarity, and impact and have included insightful introductions and discussion questions. The puzzles raised will help readers acquire a more thorough understanding of fundamental logic concepts and a firmer command of the connections between formal logic and other areas of philosophical study: epistemology, philosophy of language, philosophy of science, and metaphysics.

Richard Arthur's Natural Deduction provides a wide-ranging introduction to logic. In lively and readable prose, Arthur presents a new approach to the study of logic, one that seeks to integrate methods of argument analysis developed in modern ""informal logic"" with natural deduction techniques. The dry bones of logic are given flesh by unusual attention to the history of the subject, from Pythagoras, the Stoics, and Indian Buddhist logic, through Lewis Carroll, Venn, and Boole, to Russell, Frege, and Monty Python. In this new edition, more exercises have been added and others have been updated and replaced. Also included are some clarifications of the notions of explanation, validity and formal validity, a more detailed discussion of derivation strategies, and another rule of inference, Reiteration.

Originally published in 1967. An introduction to the literature of nonstandard logic, in particular to those nonstandard logics known as many-valued logics. Part I expounds and discusses implicational calculi, modal logics and many-valued logics and their associated calculi. Part II considers the detailed development of various many-valued calculi, and some of the important metathereoms which have been proved for them. Applications of the calculi to problems in the philosophy are also surveyed. This work combines criticism with exposition to form a comprehensive but concise survey of the field.

Originally published in 1966. An introduction to current studies of kinds of inference in which validity cannot be determined by ordinary deductive models. In particular, inductive inference, predictive inference, statistical inference, and decision making are examined in some detail. The last chapter discusses the relationship of these forms of inference to philosophical notions of rationality. Special features of the monograph include a discussion of the legitimacy of various criteria for successful predictive inference, the development of an intuitive model which exhibits the difficulties of choosing probability measures over infinite sets, and a comparison of rival views on the foundations of probability in terms of the amount of information which the members of these schools believe suitable for fruitful formalization. The bibliographies include articles by statisticians accessible to students of symbolic logic.

We talk about irrationality when behaviour defies explanation or prediction, when decisions are driven by emotions or instinct rather than by reflection, when reasoning fails to conform to basic principles of logic and probability, and when beliefs lack coherence or empirical support. Depending on the context, agents exhibiting irrational behaviour may be described as foolish, ignorant, unwise or even insane. In this clear and engaging introduction to current debates on irrationality, Lisa Bortolotti presents the many facets of the concept and offers an original account of the importance of judgements of irrationality as value judgements. The book examines the standards against which we measure human behaviour, and reviews the often serious implications of judgements of irrationality for ethics and policy. Bortolotti argues that we should adopt a more critical stance towards accepted standards of rationality in the light of the often surprising outcomes of philosophical inquiry and cognitive science research into decision making. Irrationality is an accessible guide to the concept and will be essential reading for students and scholars interested in the limitations of human cognition and human agency.

You've Got to Be Kidding!: How Jokes Can Help You Think is a thoughtful and accessible analysis of the ways in which jokes illustrate how we think critically, and how the thinking process goes awry in everyday human situations Uses jokes to illustrate the various mistakes or fallacies that are typically identified and discussed in courses on critical reasoning Provides an effective way to learn critical thinking skills since jokes often describe real-life situations where it really matters whether a person thinks well or not Demonstrates how philosophy is actually very practical and clearly related to real- life human experiences Explains how developing good reasoning habits can make a real difference in all aspects of one's life

Arguing Well is a lucid introduction to the nature of good reasoning, how to test and construct successful arguments. It assumes no prior knowledge of logic or philosophy. The book includes an introduction to basic symbolic logic. Arguing Well introduces and explains: * The nature and importance of arguments * What to look for in deciding whether arguments succeed or fail * How to construct good arguments * How to make it more certain that we reason when we should The book is ideal for any student embarking on academic study where presenting arguments are what matters most; in fact, for all people who want to understand the nature and importance of good reasoning and awaken their ability to argue well.

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).

"Counterfactuals" is David Lewis's forceful presentation of and sustained argument for a particular view about propositions which express contrary-to-fact conditionals, including his famous defense of realism about possible worlds. Since its original publication in 1973, it has become a classic of contemporary philosophy, and is essential reading for anyone interested in the logic and metaphysics of counterfactuals. The book also includes an appendix of related writings by Lewis.

Reissuing works originally published between 1931 and 1990, this set of twenty-four books covers the full range of the philosophy of logic, from introductions to logic, to calculus and mathematical logic, to logic in language and linguistics and logical reasoning in law and ethics. An international array of authors are represented in this comprehensive collection.

This truly philosophical book takes us back to fundamentals - the sheer experience of proof, and the enigmatic relation of mathematics to nature. It asks unexpected questions, such as 'what makes mathematics mathematics?', 'where did proof come from and how did it evolve?', and 'how did the distinction between pure and applied mathematics come into being?' In a wide-ranging discussion that is both immersed in the past and unusually attuned to the competing philosophical ideas of contemporary mathematicians, it shows that proof and other forms of mathematical exploration continue to be living, evolving practices - responsive to new technologies, yet embedded in permanent (and astonishing) facts about human beings. It distinguishes several distinct types of application of mathematics, and shows how each leads to a different philosophical conundrum. Here is a remarkable body of new philosophical thinking about proofs, applications, and other mathematical activities.

"You've Got to Be Kidding : How Jokes Can Help You Think" is a thoughtful and accessible analysis of the ways in which jokes illustrate how we think critically, and how the thinking process goes awry in everyday human situations Uses jokes to illustrate the various mistakes or fallacies that are typically identified and discussed in courses on critical reasoningProvides an effective way to learn critical thinking skills since jokes often describe real-life situations where it really matters whether a person thinks well or notDemonstrates how philosophy is actually very practical and clearly related to real- life human experiencesExplains how developing good reasoning habits can make a real difference in all aspects of one's life