In the twenty-first century, humanity is reaching new heights of scientific understanding - and at the same time appears to be losing its mind. How can a species that discovered vaccines for Covid-19 in less than a year produce so much fake news, quack cures and conspiracy theorizing?

In Rationality, Pinker rejects the cynical cliché that humans are simply an irrational species - cavemen out of time fatally cursed with biases, fallacies and illusions. After all, we discovered the laws of nature, lengthened and enriched our lives and set the benchmarks for rationality itself. Instead, he explains, we think in ways that suit the low-tech contexts in which we spend most of our lives, but fail to take advantage of the powerful tools of reasoning we have built up over millennia: logic, critical thinking, probability, causal inference, and decision-making under uncertainty. These tools are not a standard part of our educational curricula, and have never been presented clearly and entertainingly in a single book - until now.

Rationality matters. It leads to better choices in our lives and in the public sphere, and is the ultimate driver of social justice and moral progress. Brimming with insight and humour, Rationality will enlighten, inspire and empower.

Informed by co-author Debby Hutchins' extensive teaching experience and research on logic education, The Art of Reasoning is the most effective text for teaching logic today. The Fifth Edition features a new chapter on cognitive biases, along with a new learning framework and newly designed problem sets that encourage incremental learning. Supporting resources are enhanced by InQuizitive, an award-winning adaptive learning tool that facilitates mastery of core concepts.

In the twenty-first century, humanity is reaching new heights of scientific understanding - and at the same time appears to be losing its mind. How can a species that discovered vaccines for Covid-19 in less than a year produce so much fake news, quack cures and conspiracy theorizing?

In Rationality, Pinker rejects the cynical cliché that humans are simply an irrational species - cavemen out of time fatally cursed with biases, fallacies and illusions. After all, we discovered the laws of nature, lengthened and enriched our lives and set the benchmarks for rationality itself. Instead, he explains, we think in ways that suit the low-tech contexts in which we spend most of our lives, but fail to take advantage of the powerful tools of reasoning we have built up over millennia: logic, critical thinking, probability, causal inference, and decision-making under uncertainty. These tools are not a standard part of our educational curricula, and have never been presented clearly and entertainingly in a single book - until now.

Rationality matters. It leads to better choices in our lives and in the public sphere, and is the ultimate driver of social justice and moral progress. Brimming with insight and humour, Rationality will enlighten, inspire and empower.

Beginning with a review of formal languages and their syntax and semantics, Logic, Proof and Computation conducts a computer assisted course in formal reasoning and the relevance of logic to mathematical proof, information processing and philosophy. Topics covered include formal grammars, semantics of formal languages, sequent systems, truth-tables, propositional and first order logic, identity, proof heuristics, regimentation, set theory, databases, automated deduction, proof by induction, Turing machines, undecidability and a computer illustration of the reasoning underpinning Godel's incompleteness proof. LPC is designed as a multidisciplinary reader for students in computing, philosophy and mathematics.

Logic and philosophy have many interfaces, some dating back to Antiquity, some developed only recently. These two companion volumes chart the variety and liveliness of modern logic at this interface, opening windows to key topics for researchers in other disciplines and other cultural traditions, including India and China. The articles presented here were written by a wide spectrum of international experts, showing the field also as a living community of junior and senior scholars across different university departments. The articles in Volume 2 give extensive coverage of contacts with Philosophy, as well as several congenial other disciplines, from argumentation theory to cognitive science, game theory, and physics.

Logic and philosophy have many interfaces, some dating back to Antiquity, some developed only recently. These two companion volumes chart the variety and liveliness of modern logic at this interface, opening windows to key topics for researchers in other disciplines and other cultural traditions, including India and China. The articles presented here were written by a wide spectrum of international experts, showing the field also as a living community of junior and senior scholars across different university departments. Volume 1 illustrates the core areas of History, Mathematical Foundations, Process and Computation, as well as Information and Agency.

Over a million students have learned to be more discerning at constructing and evaluating arguments with the help of A CONCISE INTRODUCTION TO LOGIC, 13th Edition. The text's clear, friendly, thorough presentation has made it the most widely used logic text in North America. The book shows you how the content connects to real-life problems and gives you everything you need to do well in your logic course. Doing well in logic improves your skills in ways that translate to other courses you take, your everyday life, and your future career. The accompanying technological resources offered through MindTap, a highly robust online platform, include self-grading interactive exercises, a new digital activity that allows you to apply the skills you learn to a real-world problem, and videos to reinforce what you learn in the book and hear in class.

For thousands of years, mathematicians have used the timeless art of logic to see the world more clearly. In The Art of Logic, Royal Society Science Book Prize nominee Eugenia Cheng shows how anyone can think like a mathematician - and see, argue and think better.

Learn how to simplify complex decisions without over-simplifying them. Discover the power of analogies and the dangers of false equivalences. Find out how people construct misleading arguments, and how we can argue back.

Eugenia Cheng teaches us how to find clarity without losing nuance, taking a careful scalpel to the complexities of politics, privilege, sexism and dozens of other real-world situations. Her Art of Logic is a practical and inspiring guide to decoding the modern world.

An introductory textbook, Logic for Justice covers, in full detail, the language and semantics of both propositional logic and first-order logic. It motivates the study of those logical systems by drawing on social and political issues. Basically, Logic for Justice frames propositional logic and first-order logic as two theories of the distinction between good arguments and bad arguments. And the book explains why, for the purposes of social justice and political reform, we need theories of that distinction. In addition, Logic for Justice is extremely lucid, thorough, and clear. It explains, and motivates, many different features of the formalism of propositional logic and first-order logic, always connecting those features back to real-world issues. Key Features Connects the study of logic to real-world social and political issues, drawing in students who might not otherwise be attracted to the subject. Offers extremely clear and thorough presentations of technical material, allowing students to learn directly from the book without having to rely on instructor explanations. Carefully explains the value of arguing well throughout one’s life, with several discussions about how to argue and how arguments – when done with care – can be helpful personally. Includes examples that appear throughout the entire book, allowing students to see how the ideas presented in the book build on each other. Provides a large and diverse set of problems for each chapter. Teaches logic by connecting formal languages to natural languages with which students are already familiar, making it much easier for students to learn how logic works.

'Electrifying ... A user manual for our polarized world' Adam Grant, #1 New York Times-bestselling author of Think Again By a two-time debating world champion, a dazzling look at how arguing better can transform your life - and the world - for the better Everyone debates, in some form, most days. Sometimes we do it to persuade; other times to learn, discover a truth, or simply to express something about ourselves. We argue to defend ourselves, our work, and our loved ones from external threat. We do it to get our way, or just to get ahead. As a two-time debating world champion, Bo has made a career out of arguing. Over the past few years, however, he's noticed how we're not only arguing more and more, but getting worse at it - a fact proven by our polarised politics. By tracing his own journey from immigrant kid to world champion, as well as those of illustrious participants in the sport such as Malcolm X, Edmund Burke and Sally Rooney, Seo shows how the skills of debating - information gathering, truth finding, lucidity, organization, and persuasion - are often the cornerstone of successful careers and happy lives. Along the way, he provides the reader with an unforgettable toolkit to use debate as a means to improve their own. This book is an everyperson's guide to disagreeing well, so that the outcome of having had an argument is better than not having it at all. Taking readers on a thrilling intellectual adventure into the eccentric and brilliant subculture of competitive debate, The Art of Disagreeing Well proves that good-faith debate can enrich and improve our lives, friendships, democracies and in the process, our world.

From Concept to Objectivity uncovers the nature and authority of conceptual determination by critically thinking through neglected arguments in Hegel's Science of Logic pivotal for understanding reason and its role in philosophy. Winfield clarifies the logical problems of presuppositionlessness and determinacy that prepare the way for conceiving the concept, examines how universality, particularity, and individuality are determined, investigates how judgment and syllogism are exhaustively differentiated, and, on that basis, explores how objectivity can be categorized without casting thought in irrevocable opposition to reality. Winfield's book will be of interest to readers of Hegel as well as anyone wondering how thought can be objective.

Russell is the most important philosopher of mathematics of the twentieth century. The author of "The Principles of Mathematics", and, with Alfred Whitehead, the massive "Principia Mathematica", he brought together his formidable knowledge of the subject and skills as a gifted communicator to provide a classic introduction to the philosophy of mathematics. "Introduction to Mathematical Philosophy" sets out in a lucid and non-technical way the main ideas of "Principia Mathematica". It is as inspiring and useful to the beginner now as it was when it was first published in 1919.

What do philosophy and computer science have in common? It turns out, quite a lot! In providing an introduction to computer science (using Python), Daniel Lim presents in this book key philosophical issues, ranging from external world skepticism to the existence of God to the problem of induction. These issues, and others, are introduced through the use of critical computational concepts, ranging from image manipulation to recursive programming to elementary machine learning techniques. In illuminating some of the overlapping conceptual spaces of computer science and philosophy, Lim teaches the reader fundamental programming skills and also allows her to develop the critical thinking skills essential for examining some of the enduring questions of philosophy. Key Features Teaches readers actual computer programming, not merely ideas about computers Includes fun programming projects (like digital image manipulation and Game of Life simulation), allowing the reader to develop the ability to write larger computer programs that require decomposition, abstraction, and algorithmic thinking Uses computational concepts to introduce, clarify, and develop a variety of philosophical issues Covers various aspects of machine learning and relates them to philosophical issues involving science and induction as well as to ethical issues Provides a framework to critically analyze arguments in classic and contemporary philosophical debates

In very recent times humanity has learnt a vast amount about the universe, the past, and itself. But through our remarkable successes in acquiring knowledge we have learned how much we have yet to learn: the science we have, for example, addresses just 5% of the universe; pre-history is still being revealed, with thousands of historical sites yet to be explored; and the new neurosciences of mind and brain are just beginning. What do we know, and how do we know it? What do we now know that we don't know? And what have we learnt about the obstacles to knowing more? In a time of deepening battles over what knowledge and truth mean, these questions matter more than ever. Bestselling polymath and philosopher A. C. Grayling seeks to answer them in three crucial areas at the frontiers of knowledge: science, history, and psychology. In each area he illustrates how each field has advanced to where it is now, from the rise of technology to quantum theory, from the dawn of humanity to debates around national histories, from ancient ideas of the brain to modern theories of the mind. A remarkable history of science, life on earth, and the human mind itself, this is a compelling and fascinating tour de force, written with Grayling's verve, clarity and remarkable breadth of knowledge.

'Electrifying ... A user manual for our polarized world' Adam Grant, #1 New York Times-bestselling author of Think Again By a two-time debating world champion, a dazzling look at how arguing better can transform your life - and the world - for the better Everyone debates, in some form, most days. Sometimes we do it to persuade; other times to learn, discover a truth, or simply to express something about ourselves. We argue to defend ourselves, our work, and our loved ones from external threat. We do it to get our way, or just to get ahead. As a two-time debating world champion, Bo has made a career out of arguing. Over the past few years, however, he's noticed how we're not only arguing more and more, but getting worse at it - a fact proven by our polarised politics. By tracing his own journey from immigrant kid to world champion, as well as those of illustrious participants in the sport such as Malcolm X, Edmund Burke and Sally Rooney, Seo shows how the skills of debating - information gathering, truth finding, lucidity, organization, and persuasion - are often the cornerstone of successful careers and happy lives. Along the way, he provides the reader with an unforgettable toolkit to use debate as a means to improve their own. This book is an everyperson's guide to disagreeing well, so that the outcome of having had an argument is better than not having it at all. Taking readers on a thrilling intellectual adventure into the eccentric and brilliant subculture of competitive debate, The Art of Disagreeing Well proves that good-faith debate can enrich and improve our lives, friendships, democracies and in the process, our world.

This collection presents the first sustained examination of the nature and status of the idea of principles in early modern thought. Principles are almost ubiquitous in the seventeenth and eighteenth centuries: the term appears in famous book titles, such as Newton's Principia; the notion plays a central role in the thought of many leading philosophers, such as Leibniz's Principle of Sufficient Reason; and many of the great discoveries of the period, such as the Law of Gravitational Attraction, were described as principles. Ranging from mathematics and law to chemistry, from natural and moral philosophy to natural theology, and covering some of the leading thinkers of the period, this volume presents ten compelling new essays that illustrate the centrality and importance of the idea of principles in early modern thought. It contains chapters by leading scholars in the field, including the Leibniz scholar Daniel Garber and the historian of chemistry William R. Newman, as well as exciting, emerging scholars, such as the Newton scholar Kirsten Walsh and a leading expert on experimental philosophy, Alberto Vanzo. The Idea of Principles in Early Modern Thought: Interdisciplinary Perspectives charts the terrain of one of the period's central concepts for the first time, and opens up new lines for further research.

This book seeks to work out which commitments are minimally sufficient to obtain an ontology of the natural world that matches all of today's well-established physical theories. We propose an ontology of the natural world that is defined only by two axioms: (1) There are distance relations that individuate simple objects, namely matter points. (2) The matter points are permanent, with the distances between them changing. Everything else comes in as a means to represent the change in the distance relations in a manner that is both as simple and as informative as possible. The book works this minimalist ontology out in philosophical as well as mathematical terms and shows how one can understand classical mechanics, quantum field theory and relativistic physics on the basis of this ontology. Along the way, we seek to achieve four subsidiary aims: (a) to make a case for a holistic individuation of the basic objects (ontic structural realism); (b) to work out a new version of Humeanism, dubbed Super-Humeanism, that does without natural properties; (c) to set out an ontology of quantum physics that is an alternative to quantum state realism and that avoids any ontological dualism of particles and fields; (d) to vindicate a relationalist ontology based on point objects also in the domain of relativistic physics.

Why is it so hard to learn critical thinking skills? Traditional textbooks focus almost exclusively on logic and fallacious reasoning, ignoring two crucial problems. As psychologists have demonstrated recently, many of our mistakes are not caused by formal reasoning gone awry, but by our bypassing it completely. We instead favor more comfortable, but often unreliable, intuitive methods. Second, the evaluation of premises is of fundamental importance, especially in this era of fake news and politicized science. This highly innovative text is psychologically informed, both in its diagnosis of inferential errors, and in teaching students how to watch out for and work around their natural intellectual blind spots. It also incorporates insights from epistemology and philosophy of science that are indispensable for learning how to evaluate premises. The result is a hands-on primer for real world critical thinking. The authors bring over four combined decades of classroom experience and a fresh approach to the traditional challenges of a critical thinking course: effectively explaining the nature of validity, assessing deductive arguments, reconstructing, identifying and diagramming arguments, and causal and probabilistic inference. Additionally, they discuss in detail, important, frequently neglected topics, including testimony, the nature and credibility of science, rhetoric, and dialectical argumentation. Key Features and Benefits: Uses contemporary psychological explanations of, and remedies for, pervasive errors in belief formation. There is no other critical thinking text that generally applies this psychological approach. Assesses premises, notably premises based on the testimony of others, and evaluation of news and other information sources. No other critical thinking textbook gives detailed treatment of this crucial topic. Typically, they only provide a few remarks about when to accept expert opinion / argument from authority. Carefully explains the concept of validity, paying particular attention in distinguishing logical possibility from other species of possibility, and demonstrates how we may mistakenly judge invalid arguments as valid because of belief bias. Instead of assessing an argument's validity using formal/mathematical methods (i.e., truth tables for propositional logic and Venn diagrams for categorical logic), provides one technique that is generally applicable: explicitly showing that it is impossible to make the conclusion false and the premises true together. For instructors who like the more formal approach, the text also includes standard treatments using truth tables and Venn diagrams. Uses frequency trees and the frequency approach to probability more generally, a simple method for understanding and evaluating quite complex probabilistic information Uses arguments maps, which have been shown to significantly improve students' reasoning and argument evaluation

This book offers readers a collection of 50 short chapter entries on topics in the philosophy of language. Each entry addresses a paradox, a longstanding puzzle, or a major theme that has emerged in the field from the last 150 years, tracing overlap with issues in philosophy of mind, cognitive science, ethics, political philosophy, and literature. Each of the 50 entries is written as a piece that can stand on its own, though useful connections to other entries are mentioned throughout the text. Readers can open the book and start with almost any of the entries, following themes of greatest interest to them. Each entry includes recommendations for further reading on the topic. Philosophy of Language: 50 Puzzles, Paradoxes, and Thought Experiments is useful as a standalone textbook, or can be supplemented by additional readings that instructors choose. The accessible style makes it suitable for introductory level through intermediate undergraduate courses, as well as for independent learners, or even as a reference for more advanced students and researchers. Key Features: Uses a problem-centered approach to philosophy of language (rather than author- or theory-centered) making the text more inviting to first-time students of the subject. Offers stand-alone chapters, allowing students to quickly understand an issue and giving instructors flexibility in assigning readings to match the themes of the course. Provides up-to-date recommended readings at the end of each chapter, or about 500 sources in total, amounting to an extensive review of the literature on each topic.

We all know people who are incredibly persuasive. In this concise book the philosophy of persuasion is parsed in 38 subtle rules that will give you the magic formula to achieve success in work and life. Find out when to: * Counter bad arguments with bad arguments / * Claim victory despite defeat / * Anger your opponent / * Lying is permitted. In this practical yet entertaining book, AC Grayling has skilfully edited Arthur Schopenhauer's posthumous work for the modern reader and provided additional text of his own. Schopenhauer, eclipsed at university by Hegel (whom he thought a fraud), made the topic of this book the study of a lifetime. Here are his conclusions in 38 handy hacks anyone can use.

Originally published in 1966 On the Syllogism and Other Logical Writings assembles for the first time the five celebrated memoirs of Augustus De Morgan on the syllogism. These are collected together with the more condensed accounts of his researches given in his Syllabus of a Proposed System of Logic an article on Logic contributed to the English Cyclopaedia. De Morgan was among the most distinguished of nineteenth century British mathematicians but is chiefly remembered today as one of the founders of modern mathematical logic. His writings on this subject have been little read, however since apart from his Formal Logic, they lie buried for the most part in inaccessible periodicals. De Morgan's own later amendments are inserted in the text and the editorial introduction gives a summary of the whole and traces in some detail the course of the once-famous feud with Sir William Hamilton of Edinburgh.

Introductory logic is generally taught as a straightforward technical discipline. In this book, John MacFarlane helps the reader think about the limitations of, presuppositions of, and alternatives to classical first-order predicate logic, making this an ideal introduction to philosophical logic for any student who already has completed an introductory logic course. The book explores the following questions. Are there quantificational idioms that cannot be expressed with the familiar universal and existential quantifiers? How can logic be extended to capture modal notions like necessity and obligation? Does the material conditional adequately capture the meaning of 'if'-and if not, what are the alternatives? Should logical consequence be understood in terms of models or in terms of proofs? Can one intelligibly question the validity of basic logical principles like Modus Ponens or Double Negation Elimination? Is the fact that classical logic validates the inference from a contradiction to anything a flaw, and if so, how can logic be modified to repair it? How, exactly, is logic related to reasoning? Must classical logic be revised in order to be applied to vague language, and if so how? Each chapter is organized around suggested readings and includes exercises designed to deepen the reader's understanding. Key Features: An integrated treatment of the technical and philosophical issues comprising philosophical logic Designed to serve students taking only one course in logic beyond the introductory level Provides tools and concepts necessary to understand work in many areas of analytic philosophy Includes exercises, suggested readings, and suggestions for further exploration in each chapter

A classic of how to think clearly and critically and ahead of its time in anticipating the threats to democracy by poor argument and shoddy reasoning Engaging, clear and witty, it is a brilliant example of how philosophy can connect with the concerns with everyone and requires no knowledge of the subject Susan Stebbing was the first woman in the UK to be appointed a professor of philosophy, in 1933 A new foreword by Nigel Warburton and introduction by Peter West help to set Stebbing book in helpful context