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.

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).

Originally published in 1990. A common complaint of philosophers, and men in general, has been that women are illogical. On the other hand, rationality, defined as the ability to follow logical argument, is often claimed to be a defining characteristic of man. Andrea Nye undermines assumptions such as: logic is unitary, logic is independent of concrete human relations, logic transcends historical circumstances as well as gender. In a series of studies of the logics of historical figures Parmenides, Plato, Aristotle, Zeno, Abelard, Ockham, and Frege she traces the changing interrelationships between logical innovation and oppressive speech strategies, showing that logic is not transcendent truth but abstract forms of language spoken by men, whether Greek ruling citizens, imperial administrators, church officials, or scientists. She relates logical techniques, such as logical division, syllogisms, and truth functions, to ways in which those with power speak to and about those subject to them. She shows, in the specific historical settings of Ancient and Hellenistic Greece, medieval Europe, and Germany between the World Wars, how logicians reworked language so that dialogue and reciprocity are impossible and one speaker is forced to accept the words of another. In the personal, as well as confrontative style of her readings, Nye points the way to another power in the words of women that might break into and challenge rational discourses that have structured Western thought and practice.

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.

Our minds have physical effects. This happens, for instance, when we move our bodies when we act. How is this possible? Thomas Kroedel defends an account of mental causation in terms of difference-making: if our minds had been different, the physical world would have been different; therefore, the mind causes events in the physical world. His account not only explains how the mind has physical effects at all, but solves the exclusion problem - the problem of how those effects can have both mental and physical causes. It is also unprecedented in scope, because it is available to dualists about the mind as well as physicalists, drawing on traditional views of causation as well as on the latest developments in the field of causal modelling. It will be of interest to a range of readers in philosophy of mind and philosophy of science. This book is also available as Open Access.

"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

This text provides a straightforward, lively but rigorous, introduction to truth-functional and predicate logic, complete with lucid examples and incisive exercises, for which Warren Goldfarb is renowned.

This book is a study in the methodology of philosophical inquiry. Accordingly, it is a venture in metaphilosophy, perhaps the most controversial of philosophical disciplines.

Philosophy is caught in a dilemma. On one hand, its omission as a legitimate venture in empirical inquiry requires its looking to "the big picture" and striving to counteract the fragmented specialization of other cognitive domains. On the other hand, philosophy does not and cannot avert division of labor. Thus, it remains committed to the quest for unity and coherence in our understanding of the nature of things in a world where our knowledge is exploding in scope and in complexity. "

Philosophical Reasoning" explores this difficult situation and clarifies its implications by expounding and defending the following thesis: that systematization is the proper instrument of philosophical inquiry, and that the effective pursuit of philosophy's mission calls for constructing a doctrinal system that answers our questions in a coherent and comprehensive manner.

This volume presents a definitive introduction to twenty core areas of philosophical logic including classical logic, modal logic, alternative logics and close examinations of key logical concepts. The chapters, written especially for this volume by internationally distinguished logicians, philosophers, computer scientists and linguists, provide comprehensive studies of the concepts, motivations, methods, formal systems, major results and applications of their subject areas.

"The Blackwell Guide to Philosophical Logic" engages both general readers and experienced logicians and provides a solid foundation for further study.

To Light the Flame of Reason is all about the art of clear thinking, an art that is needed now more than ever in the world we now live in. Written for anyone who wants to navigate better in this world filled with populist dogmas, anti-science attitudes, and pseudo-philosophy, authors Christer Sturmark and Douglas Hofstadter provide a set of simple tools for clear thinking, as well as a deeper understanding of science, truth, naturalism, and morality. It also offers insights into the rampant problems of extremism and fundamentalism - and suggestions for how the world can move towards a new enlightenment. The book argues that we need to reawaken the basic values and ideals that defined the original age of enlightenment. We need to accept the idea that the world we inhabit is part of nature, and that it has no trace of supernatural or magical forces. Ethical questions should be detached from religion. This doesn't mean that the questions become any easier - just that ideas are tested and judged without being profoundly tainted and constrained by religious dogmas. Such a form of secular humanism builds on the power of free thought - the power to investigate and understand the natural world. Although not everything can be investigated or understood, the sincere quest for knowledge and understanding establishes a flexible, nondogmatic attitude toward the world. Curiosity and openness lie at the core of such an attitude. The scientific method of careful and open- minded testing, as well as science's creative and reflective ways of thinking, provides key tools. What clear, science-inspired thinking helps us to understand, among many other things, is that a person can be good and can be motivated to carry out morally good actions without ever bowing to, or being limited by, supposedly divine forces. To Light the Flame of Reason will appeal to adults who are trying to figure out how to deal with the ever-increasing daily bombardment of conflicting messages about what is right, true, sensible, or good, and it should appeal even more to teenagers and university students who are struggling to find a believable and reliable philosophy of life that can help guide them in their choices of what and whom to trust, and how to act, both on the personal and the social level. Today, more people have greater access to information and knowledge than ever was dreamt of before, and more people are concerned about the world situation. More people have the chance, through their own actions, to make a difference. Each one of us, as an individual, matters. It is thus vitally important that each of us should choose, in a conscious and reflective manner, our own views of reality, of the world, and of humanity. And this means that it is crucial for us all to train ourselves in the art of thinking clearly. Christer Sturmark along with Pulizer Prize winning author Douglas Hofstdter argue that we must refocus our efforts on cultivting a secular society, and in doing so, we will rediscover the values and ethics that are so foreign in today's society.

This book defends the Direct Reference (DR) thesis in philosophy of language regarding proper names and indexical pronouns. It uniquely draws out the significant consequences of DR when it is conjoined with the fact that these singular terms sometimes fail to refer. Even though DR is widely endorsed by philosophers of language, many philosophically important and radically controversial consequences of the thesis have gone largely unexplored. This book makes an important contribution to the DR literature by explicitly addressing the consequences that follow from DR regarding failure of reference. Michael McKinsey argues that only a form of neutral free logic can capture a revised concept of logical truth that is consistent with the fact that any sentence of any form that contains a directly referring genuine term can fail to be either true or false on interpretations where that term fails to refer. He also explains how it is possible for there to be true (or false) sentences that contain non-referring names, even though this possibility seems inconsistent with DR. Consequences of Reference Failure will be of interest to philosophers of language and logic and linguists working on Direct Reference.

From sex and music to religion and politics, a history of irrationality and the ways in which it has always been with us-and always will be In this sweeping account of irrationality from antiquity to the rise of Twitter mobs and the election of Donald Trump, Justin Smith argues that irrationality makes up the greater part of human life and history. Ranging across philosophy, politics, and current events, he shows that, throughout history, every triumph of reason has been temporary and reversible, and that rational schemes often result in their polar opposite. Illuminating unreason at a moment when the world appears to have gone mad again, Irrationality is timely, provocative, and fascinating.

This volume provides a comprehensive collection of classic and contemporary readings in the philosophy of logic. The selections include some of the most important, technically exact, yet lucid and readable expositions of central concepts and controversies in philosophical logic. Areas of coverage include classical logic, truth, propositions and meaning, quantifiers and quantificational theory, validity, inference and entailment, and modality, intensionality and propositional attitude.

Since the articles are written from a variety of perspectives, the reader is able to critically assess the background and current trends in philosophical applications of symbolic logic. The volume also examines the limitations of classical and nonstandard logics.

The book complements "Philosophy of Mathematics: An Anthology" and "A Companion to Philosophical Logic, "also edited by Dale Jacquette.

This book stands at the intersection of two topics: the decidability and computational complexity of hybrid logics, and the deductive systems designed for them. Hybrid logics are here divided into two groups: standard hybrid logics involving nominals as expressions of a separate sort, and non-standard hybrid logics, which do not involve nominals but whose expressive power matches the expressive power of binder-free standard hybrid logics.The original results of this book are split into two parts. This division reflects the division of the book itself. The first type of results concern model-theoretic and complexity properties of hybrid logics. Since hybrid logics which we call standard are quite well investigated, the efforts focused on hybrid logics referred to as non-standard in this book. Non-standard hybrid logics are understood as modal logics with global counting operators (M(En)) whose expressive power matches the expressive power of binder-free standard hybrid logics. The relevant results comprise: 1. Establishing a sound and complete axiomatization for the modal logic K with global counting operators (MK(En)), which can be easily extended onto other frame classes, 2. Establishing tight complexity bounds, namely NExpTime-completeness for the modal logic with global counting operators defined over the classes of arbitrary, reflexive, symmetric, serial and transitive frames (MK(En)), MT(En)), MD(En)), MB(En)), MK4(En)) with numerical subscripts coded in binary. Establishing the exponential-size model property for this logic defined over the classes of Euclidean and equivalential frames (MK5(En)), MS5(En)).Results of the second type consist of designing concrete deductive (tableau and sequent) systems for standard and non-standard hybrid logics. More precisely, they include: 1. Devising a prefixed and an internalized tableau calculi which are sound, complete and terminating for a rich class of binder-free standard hybrid logics. An interesting feature of indicated calculi is the nonbranching character of the rule (¬D), 2. Devising a prefixed and an internalized tableau calculi which are sound, complete and terminating for non-standard hybrid logics. The internalization technique applied to a tableau calculus for the modal logic with global counting operators is novel in the literature, 3. Devising the first hybrid algorithm involving an inequality solver for modal logics with global counting operators. Transferring the arithmetical part of reasoning to an inequality solver turned out to be sufficient in ensuring termination.The book is directed to philosophers and logicians working with modal and hybrid logics, as well as to computer scientists interested in deductive systems and decision procedures for logics. Extensive fragments of the first part of the book can also serve as an introduction to hybrid logics for wider audience interested in logic.The content of the book is situated in the areas of formal logic and theoretical computer science with some elements of the theory of computational complexity.

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

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

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

"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.

From academic writing to personal and public discourse, the need for good arguments and better ways of arguing is greater than ever before. This timely fifth edition of A Rulebook for Arguments sharpens an already-classic text, adding updated examples and a new chapter on public debates that provides rules for the etiquette and ethics of sound public dialogue as well as clear and sound thinking in general.

An exploration of quantum entanglement and the ways in which it contradicts our everyday assumptions about the ultimate nature of reality. Quantum physics is notable for its brazen defiance of common sense. (Think of Schroedinger's Cat, famously both dead and alive.) An especially rigorous form of quantum contradiction occurs in experiments with entangled particles. Our common assumption is that objects have properties whether or not anyone is observing them, and the measurement of one can't affect the other. Quantum entanglement-called by Einstein "spooky action at a distance"-rejects this assumption, offering impeccable reasoning and irrefutable evidence of the opposite. Is quantum entanglement mystical, or just mystifying? In this volume in the MIT Press Essential Knowledge series, Jed Brody equips readers to decide for themselves. He explains how our commonsense assumptions impose constraints-from which entangled particles break free. Brody explores such concepts as local realism, Bell's inequality, polarization, time dilation, and special relativity. He introduces readers to imaginary physicists Alice and Bob and their photon analyses; points out that it's easier to reject falsehood than establish the truth; and reports that some physicists explain entanglement by arguing that we live in a cross-section of a higher-dimensional reality. He examines a variety of viewpoints held by physicists, including quantum decoherence, Niels Bohr's Copenhagen interpretation, genuine fortuitousness, and QBism. This relatively recent interpretation, an abbreviation of "quantum Bayesianism," holds that there's no such thing as an absolutely accurate, objective probability "out there," that quantum mechanical probabilities are subjective judgments, and there's no "action at a distance," spooky or otherwise.

This third volume of the monumental commentary on Wittgenstein's "Philosophical Investigations" covers sections 243-427, which constitute the heart of the book. Like the previous volumes, it consists of philosophical essays and exegesis. The thirteen essays cover all the major themes of this part of Wittgenstein's masterpiece: the private language arguments, privacy, avowals and descriptions, private ostensive definition, criteria, minds and machines, behavior and behaviorism, the self, the inner and the outer, thinking, consciounesss, and the imagination. The exegesis clarifies and evaluates Wittgenstein's arguments, drawing extensively on all the unpublished papers, examining the evolution of his ideas in manuscript sources and definitively settling many controversies about the interpretation of the published text.

This commentary, like its predecessors, is indispensable for the study of Wittgenstein and is essential reading for students of the philosophy of mind.

A fourth and final volume, entitled "Wittgenstein: Mind and Will" will complete the commentary.

The first comprehensive history of John Venn's life and work. John Venn (1834-1923) is remembered today as the inventor of the famous Venn diagram. The postmortem fame of the diagram has until now eclipsed Venn's own status as one of the most accomplished logicians of his day. Praised by John Stuart Mill as a "highly successful thinker" with much "power of original thought," Venn had a profound influence on nineteenth-century scientists and philosophers, ranging from Mill and Francis Galton to Lewis Carroll and Charles Sanders Peirce. Venn was heir to a clerical Evangelical dynasty, but religious doubts led him to resign Holy Orders and instead focus on an academic career. He wrote influential textbooks on probability theory and logic, became a fellow of the Royal Society, and advocated alongside Henry Sidgwick for educational reform, including that of women's higher education. Moreover, through his students, a direct line can be traced from Venn to the early analytic philosophy of G. E. Moore and Bertrand Russell, and family ties connect him to the famous Bloomsbury group. This essential book takes readers on Venn's journey from Evangelical son to Cambridge don to explore his life and work in context. Drawing on Venn's key writings and correspondence, published and unpublished, Lukas M. Verburgt unearths the legacy of the logician's wide-ranging thinking while offering perspective on broader themes in religion, science, and the university in Victorian Britain. The rich picture that emerges of Venn, the person, is of a man with many sympathies-sometimes mutually reinforcing and at other times outwardly and inwardly contradictory.

Provides clear distinctions between the subjective and objective dimensions of architecture and the arts Arguments are reinforced by the analysis of seminal architectural examples Bullet points at the end of each chapter summarise the arguments and provide further guidance to the reader

This volume provides a comprehensive collection of classic and contemporary readings in the philosophy of logic. The selections include some of the most important, technically exact, yet lucid and readable expositions of central concepts and controversies in philosophical logic. Areas of coverage include classical logic, truth, propositions and meaning, quantifiers and quantificational theory, validity, inference and entailment, and modality, intensionality and propositional attitude.

Since the articles are written from a variety of perspectives, the reader is able to critically assess the background and current trends in philosophical applications of symbolic logic. The volume also examines the limitations of classical and nonstandard logics.

The book complements "Philosophy of Mathematics: An Anthology" and "A Companion to Philosophical Logic, "also edited by Dale Jacquette.