Full of insights, arguments and philosophical perspectives, the book covers an amazing array of topics. Beginning in antiquity with Democritus, it progresses through logic and set theory, computability and complexity theory, quantum computing, cryptography, the information content of quantum states and the interpretation of quantum mechanics. There are also extended discussions about time travel, Newcomb's Paradox, the anthropic principle and the views of Roger Penrose. Aaronson's informal style makes this fascinating book accessible to readers with scientific backgrounds, as well as students and researchers working in physics, computer science, mathematics and philosophy.

    Peter Bernstein has written a comprehensive history of man's efforts to understand risk and probability, beginning with early gamblers in ancient Greece, continuing through the 17th-century French mathematicians Pascal and Fermat and up to modern chaos theory. Along the way he demonstrates that understanding risk underlies everything from game theory to bridge-building to winemaking.

    An invaluable resource for any manager or professional, this book offers a collection of proven, practical methods for simplifying any problem and making faster, better decisions every time.

    Since then, the ways we process written language have changed dramatically with many concerned about both their own changes and that of children. New research on the reading brain chronicles these changes in the brains of children and adults as they learn to read while immersed in a digitally dominated medium.Drawing deeply on this research, this book comprises a series of letters Wolf writes to us—her beloved readers—to describe her concerns and her hopes about what is happening to the reading brain as it unavoidably changes to adapt to digital mediums. Wolf raises difficult questions, including:Will children learn to incorporate the full range of "deep reading" processes that are at the core of the expert reading brain?Will the mix of a seemingly infinite set of distractions for children’s attention and their quick access to immediate, voluminous information alter their ability to think for themselves?With information at their fingertips, will the next generation learn to build their own storehouse of knowledge, which could impede the ability to make analogies and draw inferences from what they know?Will all these influences, in turn, change the formation in children and the use in adults of "slower" cognitive processes like critical thinking, personal reflection, imagination, and empathy that comprise deep reading and that influence both how we think and how we live our lives?Will the chain of digital influences ultimately influence the use of the critical analytical and empathic capacities necessary for a democratic society?How can we preserve deep reading processes in future iterations of the reading brain?Who are the "good readers" of every epoch?Concerns about attention span, critical reasoning, and over-reliance on technology are never just about children—Wolf herself has found that, though she is a reading expert, her ability to read deeply has been impacted as she has become, inevitably, increasingly dependent on screens.Wolf draws on neuroscience, literature, education, technology, and philosophy and blends historical, literary, and scientific facts with down-to-earth examples and warm anecdotes to illuminate complex ideas that culminate in a proposal for a biliterate reading brain. Provocative and intriguing, Reader, Come Home is a roadmap that provides a cautionary but hopeful perspective on the impact of technology on our brains and our most essential intellectual capacities—and what this could mean for our future.

    Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. In A Mind for Numbers, Dr. Oakley lets us in on the secrets to effectively learning math and science—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn math. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. A Mind for Numbers shows us that we all have what it takes to excel in math, and learning it is not as painful as some might think!

    Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index

    Its rules and pieces have served as a metaphor for society including military strategy, mathematics, artificial intelligence, literature, and the arts. It has been condemned as the devil’s game by popes, rabbis, and imams, and lauded as a guide to proper living by different popes, rabbis, and imams. In his wide-ranging and ever fascinating examination of chess, David Shenk gleefully unearths the hidden history of a game that seems so simple yet contains infinity. From its invention somewhere in India around 500 A.D., to its enthusiastic adoption by the Persians and its spread by Islamic warriors, to its remarkable use as a moral guide in the Middle Ages and its political utility in the Enlightenment, to its crucial importance in the birth of cognitive science and its key role in the new aesthetic of modernism in 20th century art, to its 21st century importance to the development of artificial intelligence and use as a teaching tool in inner-city America, chess has been a remarkably omnipresent factor in the development of civilization. Indeed as Shenk shows, some neuroscientists believe that playing chess may actually alter the structure of the brain, that it may for individuals be what it has been for civilization: a virus that makes us smarter.From the Hardcover edition.

    Sway introduces us to the Harvard Business School professor who got his students to pay $204 for a $20 bill, the head of airline safety whose disregard for his years of training led to the transformation of an entire industry, and the football coach who turned conventional strategy on its head to lead his team to victory. We also learn the curse of the NBA draft, discover why interviews are a terrible way to gauge future job performance, and go inside a session with the Supreme Court to see how the world’s most powerful justices avoid the dangers of group dynamics.Every once in a while, a book comes along that not only challenges our views of the world but changes the way we think. In Sway, Ori and Rom Brafman not only uncover rational explanations for a wide variety of irrational behaviors but also point readers toward ways to avoid succumbing to their pull.

    Readers familiar with the previous edition will find a text that retains all the features that make Rulebook ideally suited for use as a supplementary course book -- including its modest price and compact size. Unlike most textbooks on argumentative writing, Rulebook is organised around specific rules, illustrated and explained soundly and briefly. It is not a textbook, but a rulebook, whose goal is to help students get on with writing a paper or assessing an argument.

    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 MindIn 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

    As a celebrated cultural critic and a writer for national publications like The Atlantic and Harper's, Alan Jacobs has spent his adult life belonging to communities that often clash in America's culture wars. And in his years of confronting the big issues that divide us--political, social, religious--Jacobs has learned that many of our fiercest disputes occur not because we're doomed to be divided, but because the people involved simply aren't thinking.Most of us don't want to think, Jacobs writes. Thinking is trouble. Thinking can force us out of familiar, comforting habits, and it can complicate our relationships with like-minded friends. Finally, thinking is slow, and that's a problem when our habits of consuming information (mostly online) leave us lost in the spin cycle of social media, partisan bickering, and confirmation bias.In this smart, endlessly entertaining book, Jacobs diagnoses the many forces that act on us to prevent thinking--forces that have only worsened in the age of Twitter, "alternative facts," and information overload--and he also dispels the many myths we hold about what it means to think well. (For example: It's impossible to "think for yourself.")Drawing on sources as far-flung as novelist Marilynne Robinson, basketball legend Wilt Chamberlain, British philosopher John Stuart Mill, and Christian theologian C.S. Lewis, Jacobs digs into the nuts and bolts of the cognitive process, offering hope that each of us can reclaim our mental lives from the impediments that plague us all. Because if we can learn to think together, maybe we can learn to live together, too.

    The Art of War is far from an anachronism—its pages outline fundamental questions that theorists of war continue to examine today, making it essential reading for any student of military history, strategy, or theory. Machiavelli believed The Art of War to be his most important work.

    Politicians and marketers present shoddy evidence for dubious claims all the time. But smart people make mistakes too, and when it comes to statistics, plenty of otherwise great scientists--yes, even those published in peer-reviewed journals--are doing statistics wrong."Statistics Done Wrong" comes to the rescue with cautionary tales of all-too-common statistical fallacies. It'll help you see where and why researchers often go wrong and teach you the best practices for avoiding their mistakes.In this book, you'll learn: - Why "statistically significant" doesn't necessarily imply practical significance- Ideas behind hypothesis testing and regression analysis, and common misinterpretations of those ideas- How and how not to ask questions, design experiments, and work with data- Why many studies have too little data to detect what they're looking for-and, surprisingly, why this means published results are often overestimates- Why false positives are much more common than "significant at the 5% level" would suggestBy walking through colorful examples of statistics gone awry, the book offers approachable lessons on proper methodology, and each chapter ends with pro tips for practicing scientists and statisticians. No matter what your level of experience, "Statistics Done Wrong" will teach you how to be a better analyst, data scientist, or researcher.

    Get ready to amaze your friends—and yourself—with incredible calculations you never thought you could master, as renowned “mathemagician” Arthur Benjamin shares his techniques for lightning-quick calculations and amazing number tricks. This book will teach you to do math in your head faster than you ever thought possible, dramatically improve your memory for numbers, and—maybe for the first time—make mathematics fun.Yes, even you can learn to do seemingly complex equations in your head; all you need to learn are a few tricks. You’ll be able to quickly multiply and divide triple digits, compute with fractions, and determine squares, cubes, and roots without blinking an eye. No matter what your age or current math ability, Secrets of Mental Math will allow you to perform fantastic feats of the mind effortlessly. This is the math they never taught you in school.Also available as an eBook

    Whether we're buying a pair of jeans, ordering a cup of coffee, selecting a long-distance carrier, applying to college, choosing a doctor, or setting up a 401K, everyday decisions have become increasingly complex due to the overwhelming abundance of choice with which we are presented. In The Paradox of Choice, Barry Schwartz explains why too much of a good thing has proven detrimental to our psychological and emotional well-being. In accessible, engaging, and anecdotal prose, Schwartz explains how a culture that thrives on the availability of constantly evolving options can also foster profound dissatisfaction and self-blame in individuals, which can lead to a paralysis in decision making and, in some cases, depression. With the latest studies on how we make choices in our personal and professional lives, Schwartz offers practical advice on how to focus on the right choices, and how to derive greater satisfaction from choices that we do make.