In 1942 G.E. Moore first wrote about the curious sort of 'nonsense' exhibited by the statement 'it is raining but I do not believe it'. What Moore discovered was a species of blindspots: consistent propositions that cannot be rationally accepted by certain individuals even though they might be true. In this book, Professor Sorenson aims to provide a unified solution to a large family of philosophical puzzles and paradoxes through a study of blindspots . He devotes special attention to revealing their role in 'slippery slope' reasoning.

"Everything one might want for a course on [Frege and Russell] is included, along with a seventy-five-page introduction that carefully lays out the contributions of each essay." -- Bernard Linsky, University of Alberta

When future generations come to analyze and survey twentieth-century philosophy as a whole, Bertrand Russell's logic and theory of knowledge is assured a place of prime importance. Yet until this book was first published in 1969 no comprehensive treatment of his epistemology had appeared. Commentators on twentieth-century philosophy at the time assumed that Russell's important contributions to the theory of knowledge were made before 1921. This book challenges that assumption and draws attention to features of Russell's later work which were overlooked. The analysis starts with Russell's earliest views and moves from book to book and article to article through his enormous span of writing on the problems and theory of knowledge. The changes in ideas as he developed the theory are traced, and the study culminates in a statement of his latest views. His work is seen in a continuity in which the changes were part of the development of his mature thought, and the total evaluation and interpretation clarify many of the common misunderstandings of his philosophy. This is naturally of interest to all philosophers, and for students this is the answer to inevitable questions on the nature of Russell's ideas and their evolution.

Although scholars from many disciplines have turned their attention to Russell's work and appraised its significance for a number of fields, and an extensive literature on him emerged, until this book, first published in 1963, no thorough study on Russell's contribution to education - an area to which he devoted no small part of his energies - had yet appeared. The book is based on interviews with Russell as well as diligent research in his writings and the sources of his thought and will enlighten all who think seriously about education. It addresses specifically the usefulness of Russell's thought for American educators, which was challenging as Russell dared to question traditional ends and means of education at the time.

This reissue, first published in 1971, provides a brief historical account of the Theory of Logical Types; and describes the problems that gave rise to it, its various different formulations (Simple and Ramified), the difficulties connected with each, and the criticisms that have been directed against it. Professor Copi seeks to make the subject accessible to the non-specialist and yet provide a sufficiently rigorous exposition for the serious student to see exactly what the theory is and how it works.

The square of opposition is a simple geometrical figure expressing some fundamental ideas about cognition. It is based on Aristotle's philosophy and has been fascinating people for two thousand years. The three notions of opposition presented in the square can be applied to analyze and understand such diverse subjects as reasoning about mathematical objects, perceptions of reality, speech acts, moral reasoning and reasoning about possibility. This book presents recent research papers dealing with the history and philosophy of the square, new diagrammatic and mathematical developments arising from it, and its applications to the fields of linguistics, psychology and argumentation. It also includes a DVD composed of events from the first world congress on the square of opposition held in June 2007 in Montreux, featuring some of the speeches and presentations of the participants, like the professors Pascal Engel, Laurence Horn, Terence Parsons, Jan Wolenski. Further, the DVD contains extracts of a square jazz show which was composed and presented for this occasion and extracts of the movie "The Square of Salome". The movie, which was produced for this event, is a remake of the famous biblical story using the square to display the relations between the main characters.

First published in 1952, professor's Strawson's highly influential Introduction to Logical Theory provides a detailed examination of the relationship between the behaviour of words in common language and the behaviour of symbols in a logical system. He seeks to explain both the exact nature of the discipline known as Formal Logic, and also to reveal something of the intricate logical structure of ordinary unformalised discourse.

The New Rhetoric is founded on the idea that since "argumentation aims at securing the adherence of those to whom it is addressed, it is, in its entirety, relative to the audience to be influenced," says Chaim Perelman and L. Olbrechts-Tyteca, and they rely, in particular, for their theory of argumentation on the twin concepts of universal and particular audiences: while every argument is directed to a specific individual or group, the orator decides what information and what approaches will achieve the greatest adherence according to an ideal audience. This ideal, Perelman explains, can be embodied, for example, "in God, in all reasonable and competent men, in the man deliberating or in an elite." Like particular audiences, then, the universal audience is never fixed or absolute but depends on the orator, the content and goals of the argument, and the particular audience to whom the argument is addressed. These considerations determine what information constitutes "facts" and "reasonableness" and thus help to determine the universal audience that, in turn, shapes the orator's approach. The adherence of an audience is also determined by the orator's use of values, a further key concept of the New Rhetoric. Perelman's treatment of value and his view of epideictic rhetoric sets his approach apart from that of the ancients and of Aristotle in particular. Aristotle's division of rhetoric into three genres-forensic, deliberative, and epideictic-is largely motivated by the judgments required for each: forensic or legal arguments require verdicts on past action, deliberative or political rhetoric seeks judgment on future action, and epideictic or ceremonial rhetoric concerns values associated with praise or blame and seeks no specific decisions. For Aristotle, the epideictic genre was of limited importance in the civic realm since it did not concern facts or policies. Perelman, in contrast, believes not only that epideictic rhetoric warrants more attention, but that the values normally limited to that genre are in fact central to all argumentation. "Epideictic oratory," Perelman argues, "has significant and important argumentation for strengthening the disposition toward action by increasing adherence to the values it lauds." These values are central to the persuasiveness of arguments in all rhetorical genres since the orator always attempts to "establish a sense of communion centered around particular values recognized by the audience."

The Cambridge philosopher Frank Ramsey (1903-1930) died tragically young, but had already established himself as one of the most brilliant minds of the twentieth century. Besides groundbreaking work in philosophy, particularly in logic, language, and metaphysics, he created modern decision theory and made substantial contributions to mathematics and economics. In these original essays, written to commemorate the centenary of Ramsey's birth, a distinguished international team of contributors offer fresh perspectives on his work and show how relevant it is to present-day concerns. Each of the ten essays addresses fundamental and contentious issues, including success semantics, propositions, infinity, conditionals, conceptual analysis, decision theory, and intergenerational justice. They also shed light on the intellectual context in which Ramsey developed his thought, including his relationship with such leading thinkers as John Maynard Keynes, Bertrand Russell, and Ludwig Wittgenstein. The volume will be indispensable reading for anyone interested in the recent history of philosophy and economics, as well as for practitioners and students of logic, metaphysics, philosophy of mathematics, philosophy of science, philosophy of mind, decision theory, and welfare economics.

ALERT: Before you purchase, check with your instructor or review your course syllabus to ensure that you select the correct ISBN. Several versions of Pearson's MyLab & Mastering products exist for each title, including customized versions for individual schools, and registrations are not transferable. In addition, you may need a CourseID, provided by your instructor, to register for and use Pearson's MyLab & Mastering products. Packages Access codes for Pearson's MyLab & Mastering products may not be included when purchasing or renting from companies other than Pearson; check with the seller before completing your purchase. Used or rental books If you rent or purchase a used book with an access code, the access code may have been redeemed previously and you may have to purchase a new access code. Access codes Access codes that are purchased from sellers other than Pearson carry a higher risk of being either the wrong ISBN or a previously redeemed code. Check with the seller prior to purchase. -- Critical Thinking Skills in Everyday Context - The Socrates Model Thinking Socratically is a treatment of critical thinking, rather than an informal logic textbook. It emphasizes a philosophical reflection on real issues from everyday life, in order to teach students the skills of critical thinking in a commonplace context that is easy to understand and certain to be remembered. Teaching and Learning Experience Improve Critical Thinking - Thinking Socratically contextualizes the presentation of critical thinking topics through easy-to-understand information, and shows, rather than just tells, students how to be critical thinkers by encouraging them to follow Socrates as a model. Engage Students - Thinking Socratically exposes students to a variety of readings listed after expository material, Venn diagrams, chapter-end summaries, etc. - in order to outline important concepts and learning tools needed for useful reasoning. Support Instructors - Teaching your course just got easier! You can create a Customized Text or use our Instructor's Manual, or PowerPoint Presentation Slides. Plus, Thinking Socratically is organized around topics for ease of assignments, and uses standard terminology to eliminate student confusion.

In Hegel was right the author demonstrates that the tradition of the grand philosophy (Plato, Aristotle, Descartes, Hume, Kant and Hegel) made the gift of some key theses of crucial importance for the humanity. These theses widely resist the positivism and skepticism attack. The demonstrative key consists in making realize that the key concepts have not empirical meaning, so self consciousness is the only possible origin of concepts. By the way this explains how human beings from different cultures are capable to understand each other. The demonstrative route of all fundamental concepts (including those of the so called "empirical sciences"), are in the "Science of Logic" of Hegel, and in his "History of Philosophy". This book makes the balance.

This is a collection of essays about logic and its applications to various philosophical problems. In general, it is argued that logic constitutes an important device of philosophical analysis. Concerning the nature of logic the author defends the thesis that first-order logic is the logic. Among the philosophical problems to which logic is applied in the essays are: truth, consistency, realism, foundations of semantics, psychologism, undetermination of theories by empirical data, modalities, value concepts, identity, vagueness, God's existence, transcendentals, legal reasoning, category mistakes, bivalence, the cognitive relation, and meaningfulness.

This multidisciplinary event was attended by 1,850 people from 61 countries brought together professionals from a broad spectrum of disciplines, ranging from engineering and the sciences to the arts, politics, economics and social sciences. Contributors included Manfred Max-Eduardo Galeano, Robert Chambers and Orlando Fals Borda.

This open access book makes a case for extending logic beyond its traditional boundaries, to encompass not only statements but also also questions. The motivations for this extension are examined in detail. It is shown that important notions, including logical answerhood and dependency, emerge as facets of the fundamental notion of entailment once logic is extended to questions, and can therefore be treated with the logician's toolkit, including model-theoretic constructions and proof systems. After motivating the enterprise, the book describes how classical propositional and predicate logic can be made inquisitive-i.e., extended conservatively with questions-and what the resulting logics look like in terms of meta-theoretic properties and proof systems. Finally, the book discusses the tight connections between inquisitive logic and dependence logic.

This book aims to develop certain aspects of Gottlob Frege's theory of meaning, especially those relevant to intentional logic. It offers a new interpretation of the nature of senses, and attempts to devise a logical calculus for the theory of sense and reference that captures as closely as possible the views of the historical Frege.

The volume contains twenty essays devoted to the philosophy of mathematics and the history of logic. They have been divided into four parts: general philosophical problems of mathematics, Hilbert's program vs. the incompleteness phenomenon, philosophy of mathematics in Poland, mathematical logic in Poland. Among considered problems are: epistemology of mathematics, the meaning of the axiomatic method, existence of mathematical objects, distinction between proof and truth, undefinability of truth, Goedel's theorems and computer science, philosophy of mathematics in Polish mathematical and logical schools, beginnings of mathematical logic in Poland, contribution of Polish logicians to recursion theory.

In this book, Livingston develops the political implications of formal results obtained over the course of the twentieth century in set theory, metalogic, and computational theory. He argues that the results achieved by thinkers such as Cantor, Russell, Godel, Turing, and Cohen, even when they suggest inherent paradoxes and limitations to the structuring capacities of language or symbolic thought, have far-reaching implications for understanding the nature of political communities and their development and transformation. Alain Badiou's analysis of logical-mathematical structures forms the backbone of his comprehensive and provocative theory of ontology, politics, and the possibilities of radical change. Through interpretive readings of Badiou's work as well as the texts of Giorgio Agamben, Jacques Lacan, Jacques Derrida, Gilles Deleuze, and Ludwig Wittgenstein, Livingston develops a formally based taxonomy of critical positions on the nature and structure of political communities. These readings, along with readings of Parmenides and Plato, show how the formal results can transfigure two interrelated and ancient problems of the One and the Many: the problem of the relationship of a Form or Idea to the many of its participants, and the problem of the relationship of a social whole to its many constituents.

Pieranna Garavaso and Nicla Vassallo investigate Gottlob Frege's notion of thinking (das Denken) to provide a new analysis of a largely unexplored area of the philosopher's work. Confronting Frege's deeply seated and widely emphasized anti-psychologism, Frege on Thinking and Its Epistemic Significance claims that the objective human science that Frege proposed can only be possible through a nuanced notion of thinking as neither merely psychological nor merely logical. Focusing on what Frege says about thinking in many passages from his works, Garavaso and Vassallo argue that Frege was engaged with issues that are still alive in contemporary debates, such as the definition of knowledge and the necessary role of language in conceptual thinking and in the expression of thoughts. Frege on Thinking and Its Epistemic Significance is essential not only for those interested in a new and original reading of Frege's philosophy, but also for anyone engaged in epistemology, logic, psychology, philosophy of language, and the history of analytic philosophy.

Over fifteen years have passed since Cora Diamond and James Conant turned Wittgenstein scholarship upside down with the program of "resolute" reading, and ten years since this reading was crystallized in the major collection The New Wittgenstein. This approach remains at the center of the debate about Wittgenstein and his philosophy, and this book draws together the latest thinking of the world's leading Tractatarian scholars and promising newcomers. Showcasing one piece alternately from each "camp", Beyond the Tractatus Wars pairs newly commissioned pieces addressing differing views on how to understand early Wittgenstein, providing for the first time an arena in which the debate between "strong" resolutists, "mild" resolutists and "elucidatory" readers of the book can really take place. The collection includes famous "samizdat" essays by Warren Goldfarb and Roger White that are finally seeing the light of day.

AS Critical Thinking for AQA is the definitive textbook for students of the current AQA Advanced Subsidiary Level syllabus. Structured very closely around the AQA specification, it covers the two units of the AS level in an exceptionally clear and student-friendly style.

The chapters are helpfully subdivided into short digestible passages, and include:

• intended learning objectives at the beginning of each chapter
• student exercises at the end of each section with a stretching activity for more advanced learners
• exam orientated questions
• key point summaries at the end of each section
• cross references.

In line with the AQA specification, there is a heavy emphasis on more imaginative forms of source material, for example, music, film, artwork, historical documents, adverts, moral dilemmas and scientific debates, as a means of illustrating key points. A great deal of emphasis is also placed on live or real arguments, taking topical examples from the world of science, politics, entertainment and sport.

The book is accompanied by a companion website with extensive resources for both instructors and students.

A COMPANION TO WITTGENSTEIN The most comprehensive survey of Wittgenstein's thought yet compiled, this volume of fifty newly commissioned essays by leading interpreters of his philosophy is a keynote addition to the Blackwell Companions to Philosophy series. Full of penetrating insights into the life and work of the most important philosopher of the twentieth century, the collection explores the full range of Wittgenstein's contribution to philosophy. It includes essays on his intellectual development, his work in logic and mathematics, philosophy of language, philosophy of mind and action, epistemology, ethics, philosophy of religion, and much else. As well as examining Wittgenstein's contribution to human understanding in detail, the Companion features vital contextual analysis that traces the relationship between his ideas and those of other philosophers and schools of thought, including the Aristotelian and continental philosophical traditions. Authors also address prominent themes that remain current in today's philosophical debates, explaining Wittgenstein's continuing legacy alongside his historical significance. Essential reading for scholars of philosophy at all levels, A Companion to Wittgenstein combines engaging commentary with unrivaled academic authority.

Logic Works is a critical and extensive introduction to logic. It asks questions about why systems of logic are as they are, how they relate to ordinary language and ordinary reasoning, and what alternatives there might be to classical logical doctrines. The book covers classical first-order logic and alternatives, including intuitionistic, free, and many-valued logic. It also considers how logical analysis can be applied to carefully represent the reasoning employed in academic and scientific work, better understand that reasoning, and identify its hidden premises. Aiming to be as much a reference work and handbook for further, independent study as a course text, it covers more material than is typically covered in an introductory course. It also covers this material at greater length and in more depth with the purpose of making it accessible to those with no prior training in logic or formal systems. Online support material includes a detailed student solutions manual with a running commentary on all starred exercises, and a set of editable slide presentations for course lectures. Key Features Introduces an unusually broad range of topics, allowing instructors to craft courses to meet a range of various objectives Adopts a critical attitude to certain classical doctrines, exposing students to alternative ways to answer philosophical questions about logic Carefully considers the ways natural language both resists and lends itself to formalization Makes objectual semantics for quantified logic easy, with an incremental, rule-governed approach assisted by numerous simple exercises Makes important metatheoretical results accessible to introductory students through a discursive presentation of those results and by using simple case studies

This book offers an array of important perspectives on Kant and nonconceptualism from some of the leading scholars in current Kant studies. As well as discussing the various arguments surrounding Kantian nonconceptualism, the book provides broad insight into the theory of perception, philosophy of mind, philosophy of mathematics, epistemology, and aesthetics. His idealism aside, Kantian nonconceptualism is the most topical contemporary issue in Kant's theoretical philosophy. In this collection of specially commissioned essays, major players in the current debate, including Robert Hanna and Lucy Allais, engage with each other and with the broader literature in the field addressing all the important aspects of Kantian nonconceptualism. Among other topics, the authors analyse the notion of intuition and the conditions of its generation, Kant's theory of space, including his pre-Critical view of space, the relation between nonconceptualism and the Transcendental Deduction, and various challenges to both conceptualist and nonconceptualist interpretations of Kant. Two further chapters explore a prominent Hegelian conceptualist reading of Kant and Kant's nonconceptualist position in the Third Critique. The volume also contains a helpful survey of the recent literature on Kant and nonconceptual content. Kantian Nonconceptualism provides a comprehensive overview of recent perspectives on Kant and nonconceptual content, and will be a key resource for Kant scholars and philosophers interested in the topic of nonconceptualism.

The Concept of Logical Consequence is a critical evaluation of the model-theoretic and proof-theoretic characterizations of logical consequence that proceeds from Alfred Tarski's characterization of the informal concept of logical consequence. This study evaluates and expands upon ideas set forth in Tarski's 1936 article on logical consequence, and appeals to his 1935 article on truth. Classical logic, as well as extensions and deviations are considered. Issues in the philosophy of logic such as the nature of logical constants, the philosophical significance of completeness, and the metaphysical and epistemological implications of logic are discussed in the context of the examination of the concept of logical consequence.

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