David Morrow and Anthony Weston build on Weston's acclaimed A Rulebook for Arguments to offer a complete textbook for a course in critical thinking or informal logic. Features of the book include: Homework exercises adapted from a wide range of actual arguments from newspapers, philosophical texts, literature, movies, YouTube videos, and other sources. Practical advice to help students succeed when applying the Rulebook 's rules. Suggestions for further practice that outline activities students can do by themselves or with classmates to improve their critical thinking skills. Detailed instructions for in-class activities and take-home assignments designed to engage students in critical thinking. An appendix on mapping arguments, a topic not included in the Rulebook , that introduces students to this vital skill in evaluating or constructing complex and multi-step arguments. Model responses to odd-numbered exercises, including commentaries on the strengths and weaknesses of selected model responses as well as further discussion of some of the substantive intellectual, philosophical, and ethical issues raised by the exercises. The third edition of Workbook contains the entire text of the recent fifth edition of the Rulebook , supplementing this core text with extensive further explanations and exercises. Updated and improved homework exercises ensure that the examples continue to resonate with today's students. Roughly one-third of the exercises have been replaced with updated or improved examples. A new chapter on engaging constructively in public debates -including five new sets of exercises-trains students to engage respectfully and constructively on controversial topics, an increasingly important skill in our hyper-partisan age. Three new critical thinking activities offer further opportunities to practice constructive dialogue.

Reading Wittgenstein's Philosophical Investigations: A Beginners Guide is written for anyone who faces the challenge of reading Philosophical Investigations. John J. Ross guides the reader slowly through each relevant section of text, explaining and elaborating key ideas, and providing the philosophical and biographical background that illuminates the problems Wittgenstein is addressing. Reading Wittgenstein's Philosophical Investigations is designed to be used in the examination of the Investigations as a whole or in part; the reader can focus solely on Mathematics or Psychology, if needed. While Ross does address some of the philosophical controversies surrounding Wittgenstein's ideas, the discussions are appropriate for an undergraduate, so the book can be used fruitfully by anyone with that level of education who has an interest in Wittgenstein's seminal work.

Just as The Elements of Style provides a quick and authoritative reference for writers, The Rowman & Littlefield Handbook for Critical Thinking provides a quick and authoritative reference for issues regarding reasoning. The Handbook provides clear and succinct discussions of the following issues: * Issues germane to clarifying sentences: ambiguity, vagueness, and propositional attitudes * General discussions of descriptions, explanations, and arguments * Criteria for evaluating observational statements and testimony * Categorical syllogisms, including issues germane to both the Boolean and Aristotelian interpretations * A complete system of propositional logic and a brief discussion of the use of truth tables * Induction: generalization and particularization arguments, analogies, arguments to the best explanation, Mill's Methods, counterfactual reasoning, and making decisions under risk and uncertainty * A brief discussion of the principle formulas involved in calculating probabilities * An extended discussion of informal fallacies * An essay on the relationship between critical thinking and writing

Medieval Modal Logic & Science uses modal reasoning in a new way to fortify the relationships between science, ethics, and politics. Robert C. Trundle accomplishes this by analyzing the role of modal logic in the work of St. Augustine and St. Thomas Aquinas, then applying these themes to contemporary issues. He incorporates Augustine's ideas involving thought and consciousness, and Aquinas's reasoning to a First Cause. The author also deals with Augustine's ties to Aristotelian modalities of thought regarding science and logic, reassessing the commonly held belief in Augustine's Platonism to not be a mistake as much as a simplistic view of his philosophy. Trundle links contemporary issues in epistemology, morality, theology, and logic, making several useful connections between ancient and medieval studies in modal logic and modern concerns. These applications of modal theory illuminate many puzzles in the works of Heidegger, Wittgenstein, Whitehead, and Kuhn.

The question of causality has haunted the history of Western metaphysics since the time of the Pre-Socratic philosophy. Hand-in-hand with attempts to address this question is the promise of unlocking larger and more complicated questions pertaining to human freedom. But what of novelty? In this brilliant extended essay Donald A. Crosby contends that though novelty can't be comprehended without efficient causality, causality requires a concept of novelty; without it cause and effect relations are unintelligible and, indeed, impossible. Crosby, in an excellent, strong, and controversial way makes the claim that freedom is consciously directed novelty. In this way, novelty is distinctive; it is not to be mistaken with either unexpected intersections of causal chains or chaos. Crosby exposes the reality of novelty throughout the book and how it applies to time, possibility, forms of materiality and embodiment, the emergence of life from nonlife, the evloution and nature of consciousness, the methods and goals of education, the character of human history and the task of historians, and also the traits of a good society. In situating novelty so firmly in the crevices of daily life, Crosby connects it to our concept of ourself, our freedom, and how we understand our relationship to the world. Through masterful readings of Isaiah Berlin, Buber, Descartes, Plato, Smart, Whitehead, and especially Henri Bergson Donald Crosby sheds new light on an elusive yet foundational concept in the history of Western thought. This book is essential to process philosophy, humanism, existentialism, philosophy of mind and consciousness, and continental thought in general.

Ludwig Wittgenstein's On Certainty explores a myriad of new and important ideas regarding our notions of belief, knowledge, skepticism, and certainty. During the course of his exploration, Wittgenstein makes a fascinating new discovery about certitude, namely, that it is categorically distinct from knowledge. As his investigation advances, he recognizes that certainty must be non-propositional and non-ratiocinated; borne out not in the things we say, but in our actions, our deeds. Many philosophers working outside of epistemology recognized Wittgenstein's insights and determined that his work's abrupt end might serve as an excellent launching point for still further philosophical expeditions. In Exploring Certainty: Wittgenstein and Wide Fields of Thought, Robert Greenleaf Brice surveys some of this rich topography. Wittgenstein's writings serve as a point of departure for Brice's own ideas about certainty. He shows how Wittgenstein's rough and unpolished notion of certitude might be smoothed out and refined in a way to benefit studies of morality, aesthetics, cognitive science, philosophy of mathematics. Brice's work opens new avenues of thought for scholars and students of the Wittgensteinian tradition, while introducing original philosophies concerning issues central to human knowledge and cognition.

Many commentaries have been devoted to Lewis Carroll's masterpiece, Alice's Adventures in Wonderland. The interpretations range from Freudian analysis to speculations about the real-life people who may have inspired the animal characters.
In this unique approach to interpreting Alice, the fruit of ten years of research, Dr. Bernard M. Patten shows that Charles Lutwidge Dodgson, aka Lewis Carroll, fused his passion for logic, mathematics, and games with his love of words and nonsense stories to produce a multifaceted, intricately structured work of literature. Patten provides a chapter-by-chapter skeleton key to Alice, which meticulously demonstrates how its various episodes reveal Dodgson's profound knowledge of the rules of clear thinking, informal and formal logic, symbolic logic, and human nature.
As Patten makes clear, Alice's Adventures in Wonderland, far from being just an entertaining children's book, is more complex and deeply reflective of Dodgson's character than it may seem. By making an effort to understand its deeper layers, both children and adults may profit from this masterful tale by learning to think better and, along the way, having fun.

This comprehensive text shows how various notions of logic can be viewed as notions of universal algebra providing more advanced concepts for those who have an introductory knowledge of algebraic logic, as well as those wishing to delve into more theoretical aspects.

This collection of classic and contemporary essays in philosophy of language offers a concise introduction to the field for students in graduate and upper-division undergraduate courses. It contains some of the most important basic sources in philosophy of language, including a number of classic essays by philosophers such as Frege, Russell, Wittgenstein, Kripke, Grice, Davidson, Strawson, Austin, and Putnam, as well as more recent contributions by scholars including John McDowell, Stephen Neale, Ruth Millikan, Stephen Schiffer, Paul Horwich, and Anthony Brueckner, among others, who are on the leading edge of innovation in this increasingly influential area of philosophy. The result is a lively mix of readings, together with the editors' discussions of the material, which provides a rigorous introduction to the subject.

G. E. Moore famously observed that to assert, 'I went to the pictures last Tuesday but I don't believe that I did' would be 'absurd'. Moore calls it a 'paradox' that this absurdity persists despite the fact that what I say about myself might be true. Over half a century later, such sayings continue to perplex philosophers and other students of language, logic, and cognition. Ludwig Wittgenstein was fascinated by Moore's example, and the absurdity of Moore's saying was intensively discussed in the mid-20th century. Yet the source of the absurdity has remained elusive, and its recalcitrance has led researchers in recent decades to address it with greater care. In this definitive treatment of the problem of Moorean absurdity Green and Williams survey the history and relevance of the paradox and leading approaches to resolving it, and present new essays by leading thinkers in the area. Contributors Jonathan Adler, Bradley Armour-Garb, Jay D. Atlas, Thomas Baldwin, Claudio de Almeida, Andre Gallois, Robert Gordon, Mitchell Green, Alan Hajek, Roy Sorensen, John Williams

Some of our earliest experiences of the conclusive force of an argument come from school mathematics: faced with a mathematical proof, we cannot deny the conclusion once the premises have been accepted. Behind such arguments lies a more general pattern of 'demonstrative arguments' that is studied in the science of logic. Logical reasoning is applied at all levels, from everyday life to advanced sciences, and a remarkable level of complexity is achieved in everyday logical reasoning, even if the principles behind it remain intuitive. Jan von Plato provides an accessible but rigorous introduction to an important aspect of contemporary logic: its deductive machinery. He shows that when the forms of logical reasoning are analysed, it turns out that a limited set of first principles can represent any logical argument. His book will be valuable for students of logic, mathematics and computer science.

The capacity to represent things to ourselves as possible plays a crucial role both in everyday thinking and in philosophical reasoning; this volume offers much-needed philosophical illumination of conceivability, possibility, and the relations between them.

This collection of classic and contemporary essays in philosophy of language offers a concise introduction to the field for students in graduate and upper-division undergraduate courses. It contains some of the most important basic sources in philosophy of language, including a number of classic essays by philosophers such as Frege, Russell, Wittgenstein, Kripke, Grice, Davidson, Strawson, Austin, and Putnam, as well as more recent contributions by scholars including John McDowell, Stephen Neale, Ruth Millikan, Stephen Schiffer, Paul Horwich, and Anthony Brueckner, among others, who are on the leading edge of innovation in this increasingly influential area of philosophy. The result is a lively mix of readings, together with the editors' discussions of the material, which provides a rigorous introduction to the subject.

In this book, Bryan Wesley Hall breaks new ground in Kant scholarship, exploring the gap in Kant's Critical philosophy in relation to his post-Critical work by turning to Kant's final, unpublished work, the so-called Opus Postumum. Although Kant considered this project to be the "keystone" of his philosophical efforts, it has been largely neglected by scholars. Hall argues that only by understanding the Opus Postumum can we fully comprehend both Kant's mature view as well as his Critical project. In letters from 1798, Kant claims to have discovered a "gap" in the Critical philosophy that requires effecting a "transition from the metaphysical foundations of natural science to physics"; unfortunately, Kant does not make clear exactly what this gap is or how the transition is supposed to fill the gap. To resolve these issues, Hall draws on the Opus Postumum, arguing that Kant's transition project can solve certain perennial problems with the Critical philosophy. This volume provides a powerful alternative to all current interpretations of the Opus Postumum, arguing that Kant's transition project is best seen as the post-Critical culmination of his Critical philosophy. Hall carefully examines the deep connections between the Opus Postumum and the view Kant develops in the Critique of Pure Reason, to suggest that properly understanding the post-Critical Kant will significantly revise our view of Kant's Critical period.

What is truth? Michael Lynch defends a bold new answer to this question. Traditional theories of truth hold that truth has only a single uniform nature. All truths are true in the same way. More recent deflationary theories claim that truth has no nature at all; the concept of truth is of no real philosophical importance. In this concise and clearly written book, Lynch argues that we should reject both these extremes and hold that truth is a functional property. To understand truth we must understand what it does, its function in our cognitive economy. Once we understand that, we'll see that this function can be performed in more than one way. And that in turn opens the door to an appealing pluralism: beliefs about the concrete physical world needn't be true in the same way as our thoughts about matters -- like morality -- where the human stain is deepest.

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.

First published in 1974. Despite the tendency of contemporary analytic philosophy to put logic and mathematics at a central position, the author argues it failed to appreciate or account for their rich content. Through discussions of such mathematical concepts as number, the continuum, set, proof and mechanical procedure, the author provides an introduction to the philosophy of mathematics and an internal criticism of the then current academic philosophy. The material presented is also an illustration of a new, more general method of approach called substantial factualism which the author asserts allows for the development of a more comprehensive philosophical position by not trivialising or distorting substantial facts of human knowledge.

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Symbolic Logic: Syntax, Semantics, and Proof introduces students to the fundamental concepts, techniques, and topics involved in deductive reasoning. Agler guides students through the basics of symbolic logic by explaining the essentials of two classical systems, propositional and predicate logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs. This text makes this often confounding topic much more accessible with step-by-step example proofs, chapter glossaries of key terms, hundreds of homework problems and solutions for practice, and suggested further readings.

Frege's Theorem collects eleven essays by Richard G Heck, Jr, one of the world's leading authorities on Frege's philosophy. The Theorem is the central contribution of Gottlob Frege's formal work on arithmetic. It tells us that the axioms of arithmetic can be derived, purely logically, from a single principle: the number of these things is the same as the number of those things just in case these can be matched up one-to-one with those. But that principle seems so utterly fundamental to thought about number that it might almost count as a definition of number. If so, Frege's Theorem shows that arithmetic follows, purely logically, from a near definition. As Crispin Wright was the first to make clear, that means that Frege's logicism, long thought dead, might yet be viable.
Heck probes the philosophical significance of the Theorem, using it to launch and then guide a wide-ranging exploration of historical, philosophical, and technical issues in the philosophy of mathematics and logic, and of their connections with metaphysics, epistemology, the philosophy of language and mind, and even developmental psychology. The book begins with an overview that introduces the Theorem and the issues surrounding it, and explores how the essays that follow contribute to our understanding of those issues. There are also new postscripts to five of the essays, which discuss changes of mind, respond to published criticisms, and advance the discussion yet further.

Epistemic Principles: A Primer of the Theory of Knowledge presents a compact account of the basic principles of the theory of knowledge. In doing this, Nicholas Rescher aims to fill the current gap in contemporary philosophical theory of knowledge with a comprehensive analysis of epistemological fundamentals. The book is not a mere inventory of such rules and principles, but rather interweaves them into a continuous exposition of basic issues. Written at a user-friendly and accessible level, Epistemic Principles is an essential addition for both advanced undergraduate and graduate courses in epistemology.

From the point of view of non-classical logics, Heyting's implication is the smallest implication for which the deduction theorem holds. This book studies properties of logical systems having some of the classical connectives and implication in the neighbourhood of Heyt ing's implication. I have not included anything on entailment, al though it belongs to this neighbourhood, mainly because of the appearance of the Anderson-Belnap book on entailment. In the later chapters of this book, I have included material that might be of interest to the intuitionist mathematician. Originally, I intended to include more material in that spirit but I decided against it. There is no coherent body of material to include that builds naturally on the present book. There are some serious results on topological models, second order Beth and Kripke models, theories of types, etc., but it would require further research to be able to present a general theory, possibly using sheaves. That would have postponed pUblication for too long. I would like to dedicate this book to my colleagues, Professors G. Kreisel, M.O. Rabin and D. Scott. I have benefited greatly from Professor Kreisel's criticism and suggestions. Professor Rabin's fun damental results on decidability and undecidability provided the powerful tools used in obtaining the majority of the results reported in this book. Professor Scott's approach to non-classical logics and especially his analysis of the Scott consequence relation makes it possible to present Heyting's logic as a beautiful, integral part of non-classical logics."

Gary Kemp presents a penetrating investigation of key issues in the philosophy of language, by means of a comparative study of two great figures of late twentieth-century philosophy. So far as language and meaning are concerned, Willard Van Orman Quine and Donald Davidson are usually regarded as birds of a feather. The two disagreed in print on various matters over the years, but fundamentally they seem to be in agreement; most strikingly, Davidson's thought experiment of Radical Interpretation looks to be a more sophisticated, technically polished version of Quinean Radical Translation. Yet Quine's most basic and general philosophical commitment is to his methodological naturalism, which is ultimately incompatible with Davidson's main commitments. In particular, it is impossible to endorse, from Quine's perspective, the roles played by the concepts of truth and reference in Davidson's philosophy of language: Davidson's employment of the concept of truth is from Quine's point of view needlessly adventurous, and his use of the concept of reference cannot be divorced from unscientific 'intuition'. From Davidson's point of view, Quine's position looks needlessly scientistic, and seems blind to the genuine problems of language and meaning. Gary Kemp offers a powerful argument for Quine's position, and in favour of methodological naturalism and its corollary, naturalized epistemology. It is possible to give a consistent and explanatory account of language and meaning without problematic uses of the concepts truth and reference, which in turn makes a strident naturalism much more plausible.

Language as reason represents the unifying theme of this multifaceted reflection on Eddo Rigotti's scientific contribution offered by his students and colleagues on the occasion of his seventieth birthday. Spanning argumentation theory, linguistics, psychology, semiotics and communication sciences, the volume reflects Rigotti's generous personality and his trajectory of semiotician, philosopher, linguist and specialist in argumentation studies. Language as an instrument of communication with semiotic peculiarities is considered at different levels in which it manifests traces of reason at work. This means considering how reality reveals itself by means of language and how the semiotic character of language structures is used by people to enable joint actions and change the natural and social world. Particularly in focus is the realm of argumentation, that is of those joint actions where people exchange reasons in various communities, fora and markets in view of understanding and practical deliberation. To argumentation Eddo Rigotti devoted all his research efforts in recent years, with a keen sense of its intrinsic educational value and a sincere care for fostering the development of the argumentative mind.

Timothy Williamson is one of the most influential living philosophers working in the areas of logic and metaphysics. His work in these areas has been particularly influential in shaping debates about metaphysical modality, which is the topic of his recent provocative and closely-argued book Modal Logic as Metaphysics (2013). This book comprises ten essays by metaphysicians and logicians responding to Williamson's work on metaphysical modality, as well as replies by Williamson to each essay. In addition, it contains an original essay by Williamson, 'Modal science,' concerning the role of modal claims in natural science. This book was originally published as a special issue of the Canadian Journal of Philosophy.