An essential tool for our post-truth world: a witty primer on logic—and the dangers of illogical thinking—by a renowned Notre Dame professor

Logic is synonymous with reason, judgment, sense, wisdom, and sanity. Being logical is the ability to create concise and reasoned arguments—arguments that build from given premises, using evidence, to a genuine conclusion. But mastering logical thinking also requires studying and understanding illogical thinking, both to sharpen one’s own skills and to protect against incoherent, or deliberately misleading, reasoning.

Elegant, pithy, and precise, Being Logical breaks logic down to its essentials through clear analysis, accessible examples, and focused insights. D. Q. McInerney covers the sources of illogical thinking, from naïve optimism to narrow-mindedness, before dissecting the various tactics—red herrings, diversions, and simplistic reasoning—the illogical use in place of effective reasoning.

An indispensable guide to using logic to advantage in everyday life, this is a concise, crisply readable book. Written explicitly for the layperson, McInerny’s Being Logical promises to take its place beside Strunk and White’s The Elements of Style as a classic of lucid, invaluable advice.

Praise for Being Logical

“Highly readable . . . D. Q. McInerny offers an introduction to symbolic logic in plain English, so you can finally be clear on what is deductive reasoning and what is inductive. And you’ll see how deductive arguments are constructed.”—Detroit Free Press

“McInerny’s explanatory outline of sound thinking will be eminently beneficial to expository writers, debaters, and public speakers.”—Booklist

“Given the shortage of logical thinking,
And the fact that mankind is adrift, if not sinking,
It is vital that all of us learn to think straight.
And this small book by D.Q. McInerny is great.
It follows therefore since we so badly need it,
Everybody should not only but it, but read it.”
—Charles Osgood

This book is a crash course in effective reasoning, meant to catapult you into a world where you start to see things how they really are, not how you think they are. The focus of this book is on logical fallacies, which loosely defined, are simply errors in reasoning. With the reading of each page, you can make significant improvements in the way you reason and make decisions.

Logically Fallacious is one of the most comprehensive collections of logical fallacies with all original examples and easy to understand descriptions, perfect for educators, debaters, or anyone who wants to improve his or her reasoning skills.

"Expose an irrational belief, keep a person rational for a day. Expose irrational thinking, keep a person rational for a lifetime." - Bo Bennett

This 2017 Edition includes dozens of more logical fallacies, over a hundred cognitive biases, practice lessons, and some common questions and answers.

A Workbook for Arguments builds on Anthony Weston’s A Rulebook for Arguments to provide a complete textbook for a course in critical thinking or informal logic. The second edition adds:
Updated and improved homework exercises—nearly one third are new—to ensure that the examples continue to resonate with students.Increased coverage of scientific reasoning, demonstrating how scientific reasoning dovetails with critical thinking more generally.Two new activities in which students analyze arguments in their original form, as provided in brief selections from the original texts.

This edition continues to include:

The entire text of Rulebook, supplemented with extensive explanations and exercises.Homework exercises adapted from a wide range of arguments in a wide variety of sources.Practical advice to help students succeed.Model answers to odd-numbered problems, including commentaries on the strengths and weaknesses of selected sample answers and further discussion of some of the substantive  intellectual, philosophical, or ethical issues they raise.Detailed instructions for in-class activities and take-home assignments.An appendix on mapping arguments, giving students a solid introduction to this vital skill in constructing complex and multi-step arguments and evaluating them.

More Precisely provides a rigorous and engaging introduction to the mathematics necessary to do philosophy. It is impossible to fully understand much of the most important work in contemporary philosophy without a basic grasp of set theory, functions, probability, modality and infinity. Until now, this knowledge was difficult to acquire. Professors had to provide custom handouts to their classes, while students struggled through math texts searching for insight. More Precisely fills this key gap.

Eric Steinhart provides lucid explanations of the basic mathematical concepts and sets out most commonly used notational conventions. Furthermore, he demonstrates how mathematics applies to many fundamental issues in branches of philosophy such as metaphysics, philosophy of language, epistemology, and ethics.

Conjectures and Refutations is one of Karl Popper's most wide-ranging and popular works, notable not only for its acute insight into the way scientific knowledge grows, but also for applying those insights to politics and to history. It provides one of the clearest and most accessible statements of the fundamental idea that guided his work: not only our knowledge, but our aims and our standards, grow through an unending process of trial and error.

Category theory is a branch of abstract algebra with incredibly diverse applications. This text and reference book is aimed not only at mathematicians, but also researchers and students of computer science, logic, linguistics, cognitive science, philosophy, and any of the other fields in which the ideas are being applied. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of category theory understandable to this broad readership. Although assuming few mathematical pre-requisites, the standard of mathematical rigour is not compromised. The material covered includes the standard core of categories; functors; natural transformations; equivalence; limits and colimits; functor categories; representables; Yoneda's lemma; adjoints; monads. An extra topic of cartesian closed categories and the lambda-calculus is also provided - a must for computer scientists, logicians and linguists! This Second Edition contains numerous revisions to the original text, including expanding the exposition, revising and elaborating the proofs, providing additional diagrams, correcting typographical errors and, finally, adding an entirely new section on monoidal categories. Nearly a hundred new exercises have also been added, many with solutions, to make the book more useful as a course text and for self-study.

Second edition of the introductory guidebook to the basic principles of constructing sound arguments and criticising bad ones. Non-technical in approach, it is based on 186 examples, which Douglas Walton, a leading authority in the field of informal logic, discusses and evaluates in clear, illustrative detail. Walton explains how errors, fallacies, and other key failures of argument occur. He shows how correct uses of argument are based on sound strategies for reasoned persuasion and critical responses. This edition takes into account many developments in the field of argumentation study that have occurred since 1989, many created by the author. Drawing on these developments, Walton includes and analyzes 36 new topical examples and also brings in work on argumentation schemes. Ideally suited for use in courses in informal logic and introduction to philosophy, this book will also be valuable to students of pragmatics, rhetoric, and speech communication.

Here is Poincaré's famous discussion of creative psychology as it is revealed in the physical sciences. Explaining how such basic concepts as number and magnitude, space and force were developed, the great French mathematician refutes the skeptical position that modern scientific method and its results are wholly factitious. The places of rigorous logic and intuitive leaps are both established by an analysis of contrasting methods of idea-creation in individuals and in modern scientific traditions. The nature of hypothesis and the role of probability are investigated with all of Poincaré's usual fertility of insight.
Partial contents: On the nature of mathematical reasoning. Magnitude and experiment. Space: non-Euclidean geometrics, space and geometry, experiment and geometry. Force: classical mechanics, relative and absolute motion, energy and thermodynamics. Nature: hypotheses in physics, the theories of modern physics, the calculus of probabilities, optics and electricity, electro-dynamics.
"Poincaré's was the last man to take practically all mathematics, both pure and applied as his province. Few mathematicians have had the breadth of philosophic vision that Poincaré's had, and none is his superior in the gift of clear exposition." — Men of Mathematics, Eric Temple Bell, Professor of Mathematics, University of Cambridge

“A flawless compendium of flaws.” —Alice Roberts, PhD, anatomist, writer, and presenter of The Incredible Human Journey

The antidote to fuzzy thinking, with furry animals!

Have you read (or stumbled into) one too many irrational online debates? Ali Almossawi certainly had, so he wrote An Illustrated Book of Bad Arguments! This handy guide is here to bring the internet age a much-needed dose of old-school logic (really old-school, a la Aristotle).

Here are cogent explanations of the straw man fallacy, the slippery slope argument, the ad hominem attack, and other common attempts at reasoning that actually fall short—plus a beautifully drawn menagerie of animals who (adorably) commit every logical faux pas. Rabbit thinks a strange light in the sky must be a UFO because no one can prove otherwise (the appeal to ignorance). And Lion doesn’t believe that gas emissions harm the planet because, if that were true, he wouldn’t like the result (the argument from consequences).

Once you learn to recognize these abuses of reason, they start to crop up everywhere from congressional debate to YouTube comments—which makes this geek-chic book a must for anyone in the habit of holding opinions.

Followers of Jesus need not fear hard questions or objections against Christian belief. In A Reasonable Response, renowned Christian philosopher and apologist William Lane Craig offers dozens of examples of how some of the most common challenges to Christian thought can be addressed, including:Why does God allow evil?How can I be sure God exists?Why should I believe that the Bible is trustworthy?How does modern science relate to the Christian worldview?What evidence do we have that Jesus rose from the dead?

Utilizing real questions submitted to his popular website ReasonableFaith.org, Dr. Craig models well-reasoned, skillful, and biblically informed interaction with his inquirers. A Reasonable Response goes beyond merely talking about apologetics; it shows it in action. With cowriter Joseph E. Gorra, this book also offers advice about envisioning and practicing the ministry of answering people’s questions through the local church, workplace, and in online environments.

Whether you're struggling to respond to tough objections or looking for answers to your own intellectual questions, A Reasonable Response will equip you with sound reasoning and biblical truth.

During the past decade there has been an explosion in computation and information technology. With it have come vast amounts of data in a variety of fields such as medicine, biology, finance, and marketing. The challenge of understanding these data has led to the development of new tools in the field of statistics, and spawned new areas such as data mining, machine learning, and bioinformatics. Many of these tools have common underpinnings but are often expressed with different terminology. This book describes the important ideas in these areas in a common conceptual framework. While the approach is statistical, the emphasis is on concepts rather than mathematics. Many examples are given, with a liberal use of color graphics. It is a valuable resource for statisticians and anyone interested in data mining in science or industry. The book's coverage is broad, from supervised learning (prediction) to unsupervised learning. The many topics include neural networks, support vector machines, classification trees and boosting---the first comprehensive treatment of this topic in any book.

This major new edition features many topics not covered in the original, including graphical models, random forests, ensemble methods, least angle regression & path algorithms for the lasso, non-negative matrix factorization, and spectral clustering. There is also a chapter on methods for ``wide'' data (p bigger than n), including multiple testing and false discovery rates.

Trevor Hastie, Robert Tibshirani, and Jerome Friedman are professors of statistics at Stanford University. They are prominent researchers in this area: Hastie and Tibshirani developed generalized additive models and wrote a popular book of that title. Hastie co-developed much of the statistical modeling software and environment in R/S-PLUS and invented principal curves and surfaces. Tibshirani proposed the lasso and is co-author of the very successful An Introduction to the Bootstrap. Friedman is the co-inventor of many data-mining tools including CART, MARS, projection pursuit and gradient boosting.

In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Gödel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere). The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic.

One of America’s foremost philosophers, John Dewey (1859-1952) fought for civil and academic freedom, founded the Progressive School movement, and steadfastly promoted a scientific approach to intellectual development.
In How We Think, Dewey shares his views on the educator’s role in training students to think well. Basing his assertions on the belief that knowledge is strictly relative to human interaction with the world, he considers the need for thought training, its use of natural resources, and its place in school conditions; inductive and deductive reasoning, interpreting facts, and concrete and abstract thinking; the functions of activity, language, and observation in thought training; and many other subjects.
John Dewey’s influence on American education and philosophy is incalculable. This volume, as fresh and inspirational today as it was upon its initial publication a century ago, is essential for anyone active in the field of teaching or about to embark on a career in education.

In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Gödel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere). The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book - extensively rewritten for its second edition - will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic.

Hegel is one of the most important modern philosophers, whose thought influenced the development of existentialism, Marxism, pragmatism, hermeneutics, and deconstruction. Yet Hegel's central text, the monumental Science of Logic, still remains for most philosophers (both figuratively and literally) a firmly closed book. The purpose of The Opening of Hegel's Logic is to dispel the myths that surround the Logic and to show that Hegel's unjustly neglected text is a work of extraordinary subtlety and insight. Part One argues that the Logic provides a rigorous derivation of the fundamental categories of thought and contrasts Hegel's approach to the categories with that of Kant. It goes on to examine the historical and linguistic presuppositions of Hegel's self-critical, ""presuppositionless"" logic and, in the process, considers several signifi­ cant criticisms of such logic advanced by Schelling, Feuerbach, Gadamer, and Kierkegaard. Separate chapters are devoted to the relation between logic and ontology in Hegel's Logic and to the relation between the Logic itself and the Phenomenology. Part Two contains the text-in German and English-of the first two chapters of Hegel's Logic, which cover such categories as being, becoming, something, limit, finitude, and infinity. Part Three then provides a clear and accessible commentary on these two chapters that both examines Hegel's arguments in detail and relates his insights to those of other philosophers, such as Descartes, Spinoza, Kant, Nietzsche, and Levinas. The Opening of Hegel's Logic aims to help students and scholars read Hegel's often formidably difficult text for themselves and discover the wealth of philosophical riches that it contains. It also argues that Hegel's project of a presuppositionless science of logic is one that deserves serious consideration today.

Computability and Logic has become a classic because of its accessibility to students without a mathematical background and because it covers not simply the staple topics of an intermediate logic course, such as Godel's incompleteness theorems, but also a large number of optional topics, from Turing's theory of computability to Ramsey's theorem. This 2007 fifth edition has been thoroughly revised by John Burgess. Including a selection of exercises, adjusted for this edition, at the end of each chapter, it offers a simpler treatment of the representability of recursive functions, a traditional stumbling block for students on the way to the Godel incompleteness theorems. This updated edition is also accompanied by a website as well as an instructor's manual.

There is, first of all, the distinction between that part of our belief which is rational and that part which is not. If a man believes something for a reason which is preposterous or for no reason at all, and what he believes turns out to be true for some reason not known to him, he cannot be said to believe it rationally, although he believes it and it is in fact true. On the other hand, a man may rationally believe a proposition to be probable, when it is in fact false. -from Chapter II: Probability in Relation to the Theory of Knowledge" His fame as an economist aside, John Maynard Keynes may be best remembered for saying, "In the long run, we are all dead." That phrase may well be the most succinct expression of the theory of probability every uttered. For a longer explanation of the premise that underlies much of modern mathematics and science, Keynes's A Treatise on Probability is essential reading. First published in 1920, this is the foundational work of probability theory, which helped establish the author's enormous influence on modern economic and even political theories. Exploring aspects of randomness and chance, inductive reasoning and logical statistics, this is a work that belongs in the library of any interested in numbers and their application in the real world. AUTHOR BIO: British economist JOHN MAYNARD KEYNES (1883-1946) also wrote The Economic Consequences of the Peace (1919), The End of Laissez-Faire (1926), The Means to Prosperity (1933), and General Theory of Employment, Interest and Money (1936).

Uncover the truth under all the BS

In the daily battle for our hearts and minds--not to mention our hard-earned cash--the truth is usually the first casualty. It's time we learned how to see through the rhetoric, faulty reasoning, and misinformation that we're subjected to from morning to night by talk-radio hosts, op-ed columnists, advertisers, self-help gurus, business "thinkers," and, of course, politicians. And no one is better equipped to show us how than award-winning philosopher Jamie Whyte.

In Crimes Against Logic Whyte take us on a fast-paced, ruthlessly funny romp through the mulligan stew of can, folderol, and bogus logic served up in the media, at the office, and even in your own home. Applying his laserlike wit to dozens of timely examples, Whyte cuts through the haze of facts, figures, and double-talk and gets at the real truth behind what they're telling us.

"An incisive philosopher."
--Sunday Telegraph

If a man supports Arsenal one day and Spurs the next then he is fickle but not necessarily illogical. From this starting point, and assuming no previous knowledge of logic, Wilfrid Hodges takes the reader through the whole gamut of logical expressions in a simple and lively way. Readers who are more mathematically adventurous will find optional sections introducing rather more challenging material. 'A lively and stimulating book' Philosophy

'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.' – The Guardian

In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system. The importance of Godel's Proof rests upon its radical implications and has echoed throughout many fields, from maths to science to philosophy, computer design, artificial intelligence, even religion and psychology. While others such as Douglas Hofstadter and Roger Penrose have published bestsellers based on Godel’s theorem, this is the first book to present a readable explanation to both scholars and non-specialists alike. A gripping combination of science and accessibility, Godel’s Proof by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity.

Kurt Godel (1906 – 1978) Born in Brunn, he was a colleague of physicist Albert Einstein and professor at the Institute for Advanced Study in Princeton, N.J.

The third edition of Essentials of Symbolic Logic is a concise and clearly written introduction to the topic. Based on years of use in colleges and universities, the book provides an accessible and thorough grounding in sentence logic and predicate logic. While technical jargon is kept to a minimum, all necessary logical concepts and vocabulary are explained clearly. A standard system of natural deduction is developed, and readers are given suggestions for developing strategies for creating derivations (proofs) in this system.

An instructor’s website is available with solutions to all the exercises in the text, including the many new exercises which have been added to this new edition.

Any sound practical philosophy must be clear on practical concepts—concepts, in particular, of life, action, and practice. This clarity is Michael Thompson’s aim in his ambitious work. In Thompson’s view, failure to comprehend the structures of thought and judgment expressed in these concepts has disfigured modern moral philosophy, rendering it incapable of addressing the larger questions that should be its focus.

“Each of these little books is witty and dramatic and creates a sense of time, place, and character....I cannot think of a better way to introduce oneself and one's friends to Western civilization.”—Katherine A. Powers, Boston Globe. “Well-written, clear and informed, they have a breezy wit about them....I find them hard to stop reading.”—Richard Bernstein, New York Times. “Witty, illuminating, and blessedly concise.”—Jim Holt, Wall Street Journal. These brief and enlightening explorations of our greatest thinkers bring their ideas to life in entertaining and accessible fashion. Philosophical thought is deciphered and made comprehensive and interesting to almost everyone. Far from being a novelty, each book is a highly refined appraisal of the philosopher and his work, authoritative and clearly presented.

In his preface Mr Wilson writes 'I feel that a great many adults ... would do better to spend less time in simply accepting the concepts of others uncritically, and more time in learning how to analyse concepts in general'. Mr Wilson starts by describing the techniques of conceptual analysis. He then gives examples of them in action by composing answers to specific questions and by criticism of quoted passages of argument. Chapter 3 sums up the importance of this kind of mental activity. Chapter 4 presents selections for the reader to analyse, followed by questions of university entrance/scholarship type. This is a book to be worked through, in a sense a text-book.

Luciano Floridi presents a book that will set the agenda for the philosophy of information. PI is the philosophical field concerned with (1) the critical investigation of the conceptual nature and basic principles of information, including its dynamics, utilisation, and sciences, and (2) the elaboration and application of information-theoretic and computational methodologies to philosophical problems. This book lays down, for the first time, the conceptual foundations for this new area of research. It does so systematically, by pursuing three goals. Its metatheoretical goal is to describe what the philosophy of information is, its problems, approaches, and methods. Its introductory goal is to help the reader to gain a better grasp of the complex and multifarious nature of the various concepts and phenomena related to information. Its analytic goal is to answer several key theoretical questions of great philosophical interest, arising from the investigation of semantic information.

In the second edition of this witty and infectious book, Madsen Pirie builds upon his guide to using - and indeed abusing - logic in order to win arguments. By including new chapters on how to win arguments in writing, in the pub, with a friend, on Facebook and in 140 characters (on Twitter), Pirie provides the complete guide to triumphing in altercations ranging from the everyday to the downright serious.

He identifies with devastating examples all the most common fallacies popularly used in argument. We all like to think of ourselves as clear-headed and logical - but all readers will find in this book fallacies of which they themselves are guilty. The author shows you how to simultaneously strengthen your own thinking and identify the weaknesses in other people arguments. And, more mischievously, Pirie also shows how to be deliberately illogical - and get away with it. This book will make you maddeningly smart: your family, friends and opponents will all wish that you had never read it.

Publisher's warning: In the wrong hands this book is dangerous. We recommend that you arm yourself with it whilst keeping out of the hands of others. Only buy this book as a gift if you are sure that you can trust the recipient.

More Precisely provides a rigorous and engaging introduction to the mathematics necessary to do philosophy. It is impossible to fully understand much of the most important work in contemporary philosophy without a basic grasp of set theory, functions, probability, modality and infinity. Until now, this knowledge was difficult to acquire. Professors had to provide custom handouts to their classes, while students struggled through math texts searching for insight. More Precisely fills this key gap.

Eric Steinhart provides lucid explanations of the basic mathematical concepts and sets out most commonly used notational conventions. Furthermore, he demonstrates how mathematics applies to many fundamental issues in branches of philosophy such as metaphysics, philosophy of language, epistemology, and ethics.

'You shouldn't drink too much. The Earth is round. Milk is good for your bones.' Are any of these claims true? How can you tell? Can you ever be certain you are right?

For anyone tackling philosophical logic and critical thinking for the first time, Critical Thinking: An Introduction to Reasoning Well provides a practical guide to the skills required to think critically. From the basics of good reasoning to the difference between claims, evidence and arguments, Robert Arp and Jamie Carlin Watson cover the topics found in an introductory course.

Now revised and fully updated, this Second Edition features a glossary, chapter summaries, more student-friendly exercises, study questions, diagrams, and suggestions for further reading. Topics include:
the structure, formation, analysis and recognition of arguments
deductive validity and soundness
inductive strength and cogency
inference to the best explanation
truth tables
tools for argument assessment
informal and formal fallacies

With real life examples, advice on graduate school entrance exams and an expanded companion website packed with additional exercises, an answer key and help with real life examples, this easy-to-follow introduction is a complete beginner's tool set to good reasoning, analyzing and arguing. Ideal for students in basic reasoning courses and students preparing for graduate school.

The philosophy of mathematics plays a vital role in the mature philosophy of Charles S. Peirce. Peirce received rigorous mathematical training from his father and his philosophy carries on in decidedly mathematical and symbolic veins. For Peirce, math was a philosophical tool and many of his most productive ideas rest firmly on the foundation of mathematical principles. This volume collects Peirce's most important writings on the subject, many appearing in print for the first time. Peirce's determination to understand matter, the cosmos, and "the grand design" of the universe remain relevant for contemporary students of science, technology, and symbolic logic.

Probability is increasingly important for our understanding of the world. What is probability? How do we model it, and how do we use it? Timothy Childers presents a lively introduction to the foundations of probability and to philosophical issues it raises. He keeps technicalities to a minimum, and assumes no prior knowledge of the subject. He explains the main interpretations of probability-frequentist, propensity, classical, Bayesian, and objective Bayesian-and uses stimulating examples to bring the subject to life. All students of philosophy will benefit from an understanding of probability, and this is the book to provide it.

Described by the philosopher A.J. Ayer as a work of 'great originality and power', this book revolutionized contemporary thinking on science and knowledge. Ideas such as the now legendary doctrine of 'falsificationism' electrified the scientific community, influencing even working scientists, as well as post-war philosophy. This astonishing work ranks alongside The Open Society and Its Enemies as one of Popper's most enduring books and contains insights and arguments that demand to be read to this day.

It seems reasonable to believe that there might have existed things other than those that in fact exist, or have existed. But how should we understand such claims? Standard semantic theories exploit the Leibnizian metaphor of a set of all possible worlds: a proposition might or must be true if it is true in some or all possible worlds. The actualist, who believes that nothing exists except what actually exists, prefers to talk of possible states of the world, or of ways that a world might be. But even the actualist still faces the problem of explaining what we are talking about when we talk about the domains of other possible worlds. In Mere Possibilities, Robert Stalnaker develops a framework for clarifying this problem, and explores a number of actualist strategies for solving it.

Some philosophers have hypothesized a realm of individual essences that stand as proxies for all merely possible beings. Others have argued that we are committed to the necessary existence of everything that does or might exist. In contrast, Mere Possibilities shows how we can make sense of ordinary beliefs about what might and must exist without making counterintuitive metaphysical commitments. The book also sheds new light on the nature of metaphysical theorizing by exploring the interaction of semantic and metaphysical issues, the connections between different metaphysical issues, and the nature of ontological commitment.

We all engage in the process of reasoning, but we don't always pay attention to whether we are doing it well. This book offers the opportunity to practise reasoning in a clear-headed and critical way, with the aims of developing an awareness of the importance of reasoning well and of improving the reader's skill in analyzing and evaluating arguments.

In this third edition, Anne Thomson has updated and revised the book to include fresh and topical examples which will guide students through the processes of critical reasoning in a clear and engaging way. In addition, two new chapters on evaluating the credibility of evidence and decision making and dilemmas will fully equip students to reason well. By the end of the book students should be able to:

identify flaws in arguments analyze the reasoning in newspaper articles, books and speeches assess the credibilty of evidence and authorities make sound decisions and solve dilemmas approach any topic with the ability to reason and think critically.

Austrian philosopher LUDWIG WITTGENSTEIN (1889-1951) was hugely influential on 20th-century philosophy, and here, he constructs a series of carefully and precisely numbered propositions on the relationship between language, logic, and reality, using a numbering system to show nested relationships between the propositions. Considered one of the major recent works of philosophy-a reputation enhanced, undoubtedly, by Bertrand Russell's glowing introduction-this edition is a reproduction of the translation by C.K. Ogden, first published in 1922, for which Wittgenstein himself assisted in the preparation of the English-language manuscript. Students of philosophy and those fascinated by the history of ideas will want a copy of this essential volume.

As we begin the third millennium there is cause for cautious optimism regarding the human prospect. Democratic revolutions and the doctrine of universal human rights have captured the imagination of large sectors of humanity, while major advances in science and technology continue to conquer disease and extend life, contributing to rising standards of living, affluence, and cultural freedom on a worldwide basis. Paradoxically, at the same time ancient authoritarian fundamentalist religions have grown in vitriolic intensity along with bizarre New Age, media-driven paranormal belief systems. Also surprising is the resurgence of primitive tribal and ethnic loyalties, unleashing wars of intolerance and bitterness. In Skepticism and Humanism, Paul Kurtz locates these threatening developments within a long-standing and largely unchallenged theological worldview. He proposes, as an alternative to religion, a new cultural paradigm rooted in scientific naturalism, rationalism, and a humanistic outlook.

An estimated 60 percent of scientists are atheists or agnostics. However, the skeptical world view has been given little currency even in advanced societies, because of a cultural prohibition against the criticism of religion. At the same time, science has become increasingly narrow and specialized so that few people can draw on its broader intellectual and cultural implications. Skepticism and Humanism attempts to meet this need. It defends skepticism as a method for developing reliable knowledge by using scientific inquiry and reason to test all claims to truth. It also defends scientific naturalism-an evolutionary view of nature, life, and the human species. Kurtz sees the dominant religious doctrines as drawn from an agricultural/nomadic past, and emphasizes the need for a new outlook applicable to the postindustrial information age. At the same time, he rejects postmodernism for abandoning science and embracing a form of nihilism.

There can be no doubt that as a new global civilization emerges, scientific naturalism, rationalism, and secular humanism have something significant to say about the meaning of life. Skepticism and Humanism shows how they can to foster democratic values and social prosperity. The book will be important for philosophers, scientists, and all those concerned with contemporary issues.

Paul Kurtz taught at Trinity College, Vassar College, and State University of New York at Buffalo. He is founder of Prometheus Books, a major publisher of philosophical works. He is the author of some thirty books including Toward a New Enlightenment (available from Transaction) Humanist Manifesto 2000, and A Secular Humanist Declaration. He is chairman of the Committee for the Scientific Investigation of Claims of the Paranormal, and editor-in-chief of Free Inquiry magazine.

Must logic come first? Are philosophical problems really logical? Must we think logically to think at all? Richard Mason's case is that too much comes before logic -- too many choices and too much history. Logic has been formed by choices made by philosophers, not just as a subject of study, but in terms of what has mattered: the problems, and the possible solutions. Before Logic contains case studies of crucial choices: on the formation of logical possibility, on truth, on the explanation of necessity, on essentialism, and on the location of logic. For readers with interests in analytical or continental philosophy or in logic, this book shows why and how history matters to logic. Logic then, cannot be the basis for metaphysics -- or an important grounding for philosophical investigations -- because too many important assumptions precede it. The difficulty this position presents is that it avoids the obvious objections of relativism. This controversial topic strikes at the heart of much post-Wittgensteinian and post-Heideggerian thought.

We are bombarded daily with vast amounts of information, much of it using faulty logic. From adverts to blogs, television to newspapers, knowing what to believe is a daunting task. Critical Thinking: A Beginner’s Guide teaches you how to analyze people’s arguments and explains the main "fallacies" that are used to deceive and confuse. With a wealth of real life examples, a glossary, and plenty of diagrams, this is an invaluable tool for both students wanting to improve their grades and general readers in search of clarity.

For several terms at Cambridge in 1939, Ludwig Wittgenstein lectured on the philosophical foundations of mathematics. A lecture class taught by Wittgenstein, however, hardly resembled a lecture.

He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation.

These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book.

The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.

A syllogism, from the Greek syllogismos, is a logical argument in which a proposition is inferred from two others. It's composed of three parts: the major premise, the minor premise and the conclusion inferred from the premises.

The syllogism is Aristotle’s most famous contribution to logic and because any valid argument must take the form of a syllogism, his work in analyzing syllogisms provides a basis for analyzing all arguments and prove rigorously whether they are true or false, valid or invalid. 

Based on the same study of syllogisms and their practical application to life, the Author proposes an analysis of relationships in modern times using deductive reasoning. Therefore, the book answers the most common questions women have regarding men, combining a total of 69 syllogisms about attraction, behavior, communication, relationships and love.

Alex Oliver and Timothy Smiley provide a natural point of entry to what for most readers will be a new subject. Plural logic deals with plural terms ('Whitehead and Russell', 'Henry VIII's wives', 'the real numbers', 'the square root of -1', 'they'), plural predicates ('surrounded the fort', 'are prime', 'are consistent', 'imply'), and plural quantification ('some things', 'any things'). Current logic is singularist: its terms stand for at most one thing. By contrast, the foundational thesis of this book is that a particular term may legitimately stand for several things at once; in other words, there is such a thing as genuinely plural denotation. The authors argue that plural phenomena need to be taken seriously and that the only viable response is to adopt a plural logic, a logic based on plural denotation. They expound a framework of ideas that includes the distinction between distributive and collective predicates, the theory of plural descriptions, multivalued functions, and lists. A formal system of plural logic is presented in three stages, before being applied to Cantorian set theory as an illustration. Technicalities have been kept to a minimum, and anyone who is familiar with the classical predicate calculus should be able to follow it. The authors' approach is an attractive blend of no-nonsense argumentative directness and open-minded liberalism, and they convey the exciting and unexpected richness of their subject. Mathematicians and linguists, as well as logicians and philosophers, will find surprises in this book. This second edition includes a greatly expanded treatment of the paradigm empty term zilch, a much strengthened treatment of Cantorian set theory, and a new chapter on higher-level plural logic.