How We Reason

Good reasoning can lead to success; bad reasoning can lead to catastrophe. Yet, it's not obvious how we reason, and why we make mistakes. This book looks at the mental processes that underlie our reasoning. It provides the most accessible account yet of the science of reasoning.

Good reasoning can lead to success; bad reasoning can lead to catastrophe. Yet, it's not obvious how we reason, and why we make mistakes - so much of our mental life goes on outside our awareness. In recent years huge strides have been made into developing a scientific understanding of reasoning. This new book by one of the pioneers of the field, Philip Johnson-Laird, looks at the mental processes that underlie our reasoning. It provides the most accessible account yet of the science of reasoning. We can all reason from our childhood onwards - but how? 'How we reason' outlines a bold approach to understanding reasoning. According to this approach, we don't rely on the laws of logic or probability - we reason by thinking about what's possible, we reason by seeing what is common to the possibilities. As the book shows, this approach can answer many of the questions about how we reason, and what causes mistakes in our reasoning that can lead to disasters such as Chernobyl. It shows why our irrational fears may become psychological illnesses, why terrorists develop 'crazy' ideologies, and how we can act in order to improve our reasoning. The book ends by looking at the role of reasoning in three extraordinary case histories: the Wright brothers' use of analogies in inventing their flyer, the cryptanalysts' deductions in breaking the German's Enigma code in World War II, and Dr. John Snow's inductive reasoning in discovering how cholera spread from one person to another. Accessible, stimulating, and controversial, How we Reason presents a bold new approach to understanding one of the most intriguing facets of being human.

Sharpen concrete teaching strategies that empower students to reason-and-prove How do teachers and students benefit from engaging in reasoning-and-proving? What strategies can teachers use to support students’ capacity to reason-and-prove? What does reasoning-and-proving instruction look like? We Reason & We Prove for ALL Mathematics helps mathematics teachers in grades 6-12 engage in the critical practice of reasoning-and-proving and support the development of reasoning-and-proving in their students. The phrase "reasoning-and-proving" describes the processes of identifying patterns, making conjectures, and providing arguments that may or may not qualify as proofs – processes that reflect the work of mathematicians. Going beyond the idea of "formal proof" traditionally relegated only to geometry, this book transcends all mathematical content areas with a variety of activities for teachers to learn more about reasoning-and-proving and about how to support students’ capacities to engage in this mathematical thinking through: Solving and discussing high-level mathematical tasks Analyzing narrative cases that make the relationship between teaching and learning salient Examining and interpreting student work that features a range of solution strategies, representations, and misconceptions Modifying tasks from curriculum materials so that they better support students to reason-and-prove Evaluating learning environments and making connections between key ideas about reasoning-and-proving and teaching strategies We Reason & We Prove for ALL Mathematics is designed as a learning tool for practicing and pre-service mathematics teachers and can be used individually or in a group. No other book tackles reasoning-and-proving with such breadth, depth, and practical applicability. Classroom examples, case studies, and sample problems help to sharpen concrete teaching strategies that empower students to reason-and-prove!

How do we think? What does a faithful use of logic look like? Without even pausing to think about it, we exercise our capacity for rational thought. But how exactly does logic work? What makes some arguments valid and others not? In this Questions in Christian Philosophy volume, philosopher Forrest Baird offers an introduction to logic. He considers the basic building blocks of human reason, including types of arguments, fallacies, syllogisms, symbols, and proofs, all of which are demonstrated with exercises for students throughout. In addition, he reflects on the relationship between the use of reason and the Christian faith. With this academic but accessible primer, readers will be introduced to the basics of logic—and encouraged to reason better. The Questions in Christian Philosophy Series features introductory textbooks that offer students a Christian perspective on the various branches of philosophy, enabling them as they seek to understand all facets of life including existence, knowledge, ethics, art, and more.

Thomas Gilovich offers a wise and readable guide to the fallacy of the obvious in everyday life. When can we trust what we believe—that "teams and players have winning streaks," that "flattery works," or that "the more people who agree, the more likely they are to be right"—and when are such beliefs suspect? Thomas Gilovich offers a guide to the fallacy of the obvious in everyday life. Illustrating his points with examples, and supporting them with the latest research findings, he documents the cognitive, social, and motivational processes that distort our thoughts, beliefs, judgments and decisions. In a rapidly changing world, the biases and stereotypes that help us process an overload of complex information inevitably distort what we would like to believe is reality. Awareness of our propensity to make these systematic errors, Gilovich argues, is the first step to more effective analysis and action.

“Brilliant...Timely and necessary.” —Financial Times “Especially timely as we struggle to make sense of how it is that individuals and communities persist in holding beliefs that have been thoroughly discredited.” —Darren Frey, Science If reason is what makes us human, why do we behave so irrationally? And if it is so useful, why didn’t it evolve in other animals? This groundbreaking account of the evolution of reason by two renowned cognitive scientists seeks to solve this double enigma. Reason, they argue, helps us justify our beliefs, convince others, and evaluate arguments. It makes it easier to cooperate and communicate and to live together in groups. Provocative, entertaining, and undeniably relevant, The Enigma of Reason will make many reasonable people rethink their beliefs. “Reasonable-seeming people are often totally irrational. Rarely has this insight seemed more relevant...Still, an essential puzzle remains: How did we come to be this way?...Cognitive scientists Hugo Mercier and Dan Sperber [argue that] reason developed not to enable us to solve abstract, logical problems...[but] to resolve the problems posed by living in collaborative groups.” —Elizabeth Kolbert, New Yorker “Turns reason’s weaknesses into strengths, arguing that its supposed flaws are actually design features that work remarkably well.” —Financial Times “The best thing I have read about human reasoning. It is extremely well written, interesting, and very enjoyable to read.” —Gilbert Harman, Princeton University

The inspiring, life-changing bestseller by the author of LEADERS EAT LAST and TOGETHER IS BETTER. In 2009, Simon Sinek started a movement to help people become more inspired at work, and in turn inspire their colleagues and customers. Since then, millions have been touched by the power of his ideas, including more than 28 million who’ve watched his TED Talk based on START WITH WHY -- the third most popular TED video of all time. Sinek starts with a fundamental question: Why are some people and organizations more innovative, more influential, and more profitable than others? Why do some command greater loyalty from customers and employees alike? Even among the successful, why are so few able to repeat their success over and over? People like Martin Luther King Jr., Steve Jobs, and the Wright Brothers had little in common, but they all started with WHY. They realized that people won't truly buy into a product, service, movement, or idea until they understand the WHY behind it. START WITH WHY shows that the leaders who've had the greatest influence in the world all think, act, and communicate the same way -- and it's the opposite of what everyone else does. Sinek calls this powerful idea The Golden Circle, and it provides a framework upon which organizations can be built, movements can be led, and people can be inspired. And it all starts with WHY.

A TIMES BOOK OF THE YEAR 2021 'Punchy, funny and invigorating ... Pinker is the high priest of rationalism' Sunday Times 'If you've ever considered taking drugs to make yourself smarter, read Rationality instead. It's cheaper, more entertaining, and more effective' Jonathan Haidt, author of The Righteous Mind 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. 'A terrific book, much-needed for our time' Peter Singer