But, Alex Bellos says, "math can be inspiring and brilliantly creative. Mathematical thought is one of the great achievements of the human race, and arguably the foundation of all human progress. The world of mathematics is a remarkable place."Bellos has traveled all around the globe and has plunged into history to uncover fascinating stories of mathematical achievement, from the breakthroughs of Euclid, the greatest mathematician of all time, to the creations of the Zen master of origami, one of the hottest areas of mathematical work today. Taking us into the wilds of the Amazon, he tells the story of a tribe there who can count only to five and reports on the latest findings about the math instinct--including the revelation that ants can actually count how many steps they've taken. Journeying to the Bay of Bengal, he interviews a Hindu sage about the brilliant mathematical insights of the Buddha, while in Japan he visits the godfather of Sudoku and introduces the brainteasing delights of mathematical games.Exploring the mysteries of randomness, he explains why it is impossible for our iPods to truly randomly select songs. In probing the many intrigues of that most beloved of numbers, pi, he visits with two brothers so obsessed with the elusive number that they built a supercomputer in their Manhattan apartment to study it. Throughout, the journey is enhanced with a wealth of intriguing illustrations, such as of the clever puzzles known as tangrams and the crochet creation of an American math professor who suddenly realized one day that she could knit a representation of higher dimensional space that no one had been able to visualize. Whether writing about how algebra solved Swedish traffic problems, visiting the Mental Calculation World Cup to disclose the secrets of lightning calculation, or exploring the links between pineapples and beautiful teeth, Bellos is a wonderfully engaging guide who never fails to delight even as he edifies. "Here's Looking at Euclid "is a rare gem that brings the beauty of math to life.

    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

    In A Generation of Sociopaths, Gibney examines the disastrous policies of the most powerful generation in modern history, showing how the Boomers ruthlessly enriched themselves at the expense of future generations.Acting without empathy, prudence, or respect for facts--acting, in other words, as sociopaths--the Boomers turned American dynamism into stagnation, inequality, and bipartisan fiasco. The Boomers have set a time bomb for the 2030s, when damage to Social Security, public finances, and the environment will become catastrophic and possibly irreversible--and when, not coincidentally, Boomers will be dying off. Gibney argues that younger generations have a fleeting window to hold the Boomers accountable and begin restoring America.

    He is known for both his breakthroughs in theoretical physics as well as his ability to make complex concepts accessible for all, and was beloved for his mischievous sense of humor. At the time of his death, Hawking was working on a final project: a book compiling his answers to the "big" questions that he was so often posed--questions that ranged beyond his academic field. Within these pages, he provides his personal views on our biggest challenges as a human race, and where we, as a planet, are heading next. Each section will be introduced by a leading thinker offering his or her own insight into Professor Hawking's contribution to our understanding.

    With Humankind, he brings that mentality to bear against one of our most entrenched ideas: namely, that human beings are by nature selfish and self-interested.By providing a new historical perspective of the last 200,000 years of human history, Bregman sets out to prove that we are in fact evolutionarily wired for cooperation rather than competition, and that our instinct to trust each other has a firm evolutionary basis going back to the beginning of Homo sapiens. Bregman systematically debunks our understanding of the Milgram electrical-shock experiment, the Zimbardo prison experiment, and the Kitty Genovese "bystander effect."In place of these, he offers little-known true stories: the tale of twin brothers on opposing sides of apartheid in South Africa who came together with Nelson Mandela to create peace; a group of six shipwrecked children who survived for a year and a half on a deserted island by working together; a study done after World War II that found that as few as 15% of American soldiers were actually capable of firing at the enemy.The ultimate goal of Humankind is to demonstrate that while neither capitalism nor communism has on its own been proven to be a workable social system, there is a third option: giving "citizens and professionals the means (left) to make their own choices (right)." Reorienting our thinking toward positive and high expectations of our fellow man, Bregman argues, will reap lasting success. Bregman presents this idea with his signature wit and frankness, once again making history, social science and economic theory accessible and enjoyable for lay readers.

    On both economic and psychological grounds, author Matthew B. Crawford questions the educational imperative of turning everyone into a "knowledge worker," based on a misguided separation of thinking from doing. Using his own experience as an electrician and mechanic, Crawford presents a wonderfully articulated call for self-reliance and a moving reflection on how we can live concretely in an ever more abstract world.

    He answers an ad in a local newspaper from a teacher looking for serious pupils, only to find himself alone in an abandoned office with a full-grown gorilla who is nibbling delicately on a slender branch. "You are the teacher?" he asks incredulously. "I am the teacher," the gorilla replies. Ishmael is a creature of immense wisdom and he has a story to tell, one that no other human being has ever heard. It is a story that extends backward and forward over the lifespan of the earth from the birth of time to a future there is still time save. Like all great teachers, Ishmael refuses to make the lesson easy; he demands the final illumination to come from within ourselves. Is it man's destiny to rule the world? Or is it a higher destiny possible for him-- one more wonderful than he has ever imagined?

    In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

    But are we? The history of the orgasm is as elusive as orgasm itself can be, for sex rarely makes the historical record. Now acclaimed British journalist Jonathan Margolis delivers the definitive history of the human orgasm, of sex for pleasure as well as conception -- from prehistory to Viagra. Most people manage just twelve minutes of orgasmic bliss per year. Some never experience it at all. Yet the urge for orgasm rules much of human life, across national and cultural boundaries. How much have we learned about female pleasure since the 1558 discovery of the clitoris? How has the drive for pleasure, and the fear of it, shaped various societies -- from Saint Francis of Assisi and the thorn bush, to “primitive” tribes who embraced maximum pleasure for both sexes? How much does the sensation of orgasm differ for different people? Drawing on the biology, literature, anthropology, psychology, and technology, Jonathan Margolis delivers the final word on both male and female orgasm in an enlightening history that is a pleasure to read.

    Featuring fascinating insights into our scientific future born from the author’s provocative conversations with Nate Silver, David Chang, and Scott Derrickson, Knocking on Heaven’s Door is eminently readable, one of the most important popular science books of this or any year. It is a necessary volume for all who admire the work of Stephen Hawking, Michio Kaku, Brian Greene, Simon Singh, and Carl Sagan; for anyone curious about the workings and aims of the Large Hadron Collider, the biggest and most expensive machine ever built by mankind; for those who firmly believe in the importance of science and rational thought; and for anyone interested in how the Universe began…and how it might ultimately end.

    And yet, disturbingly, in today's so-called information age, pseudoscience is burgeoning with stories of alien abduction, channeling past lives, and communal hallucinations commanding growing attention and respect. As Sagan demonstrates with lucid eloquence, the siren song of unreason is not just a cultural wrong turn but a dangerous plunge into darkness that threatens our most basic freedoms.

    Jacobs's hilarious, enlightening, and seemingly impossible quest to read the Encyclopaedia Britannica from A to Z. 33,000 Pages44 Million Words10 Billion Years Of History1 Obsessed ManTo fill the ever-widening gaps in his Ivy League education, A.J. Jacobs sets for himself the daunting task of reading all thirty-two volumes of the Encyclopaedia Britannica. His wife, Julie, tells him it's a waste of time, his friends believe he is losing his mind, and his father, a brilliant attorney who had once attempted the same feat and quit somewhere around Borneo, is encouraging but unconvinced. With self-deprecating wit and a disarming frankness, The Know-It-All recounts the unexpected and comically disruptive effects Operation Encyclopedia has on every part of Jacobs's life -- from his newly minted marriage to his complicated relationship with his father and the rest of his charmingly eccentric New York family to his day job as an editor at Esquire. Jacobs's project tests the outer limits of his stamina and forces him to explore the real meaning of intelligence as he endeavors to join Mensa, win a spot on Jeopardy!, and absorb 33,000 pages of learning. On his journey he stumbles upon some of the strangest, funniest, and most profound facts about every topic under the sun, all while battling fatigue, ridicule, and the paralyzing fear that attends his first real-life responsibility -- the impending birth of his first child. The Know-It-All is an ingenious, mightily entertaining memoir of one man's intellect, neuroses, and obsessions, and a struggle between the all-consuming quest for factual knowledge and the undeniable gift of hard-won wisdom.

    Taking us on a journey through every fundamental field of science, as well as the history of civilization, art, moral values, and the theory of political institutions, Deutsch tracks how we form new explanations and drop bad ones, explaining the conditions under which progress—which he argues is potentially boundless—can and cannot happen. Hugely ambitious and highly original, The Beginning of Infinity explores and establishes deep connections between the laws of nature, the human condition, knowledge, and the possibility for progress.

    Instead, follow the data: In seventy-five jaw-dropping graphs, Pinker shows that life, health, prosperity, safety, peace, knowledge, and happiness are on the rise, not just in the West, but worldwide. This progress is not the result of some cosmic force. It is a gift of the Enlightenment: the conviction that reason and science can enhance human flourishing.Far from being a naïve hope, the Enlightenment, we now know, has worked. But more than ever, it needs a vigorous defense. The Enlightenment project swims against currents of human nature–tribalism, authoritarianism, demonization, magical thinking–which demagogues are all too willing to exploit. Many commentators, committed to political, religious, or romantic ideologies, fight a rearguard action against it. The result is a corrosive fatalism and a willingness to wreck the precious institutions of liberal democracy and global cooperation.With intellectual depth and literary flair, Enlightenment Now makes the case for reason, science, and humanism: the ideals we need to confront our problems and continue our progress.

    As Pluckrose and Lindsay warn, the unchecked proliferation of these anti-Enlightenment beliefs present a threat not only to liberal democracy but also to modernity itself. While acknowledging the need to challenge the complacency of those who think a just society has been fully achieved, Pluckrose and Lindsay break down how this often-radical activist scholarship does far more harm than good, not least to those marginalized communities it claims to champion. They also detail its alarmingly inconsistent and illiberal ethics. Only through a proper understanding of the evolution of these ideas, they conclude, can those who value science, reason, and consistently liberal ethics successfully challenge this harmful and authoritarian orthodoxy—in the academy, in culture, and beyond.