Here's Looking at Euclid: A Surprising Excursion Through the Astonishing World of Math


Alex Bellos - 2010
    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.

The Seven Pillars of Statistical Wisdom


Stephen M. Stigler - 2016
    It allows one to gain information by discarding information, namely, the individuality of the observations. Stigler s second pillar, information measurement, challenges the importance of big data by noting that observations are not all equally important: the amount of information in a data set is often proportional to only the square root of the number of observations, not the absolute number. The third idea is likelihood, the calibration of inferences with the use of probability. Intercomparison is the principle that statistical comparisons do not need to be made with respect to an external standard. The fifth pillar is regression, both a paradox (tall parents on average produce shorter children; tall children on average have shorter parents) and the basis of inference, including Bayesian inference and causal reasoning. The sixth concept captures the importance of experimental design for example, by recognizing the gains to be had from a combinatorial approach with rigorous randomization. The seventh idea is the residual the notion that a complicated phenomenon can be simplified by subtracting the effect of known causes, leaving a residual phenomenon that can be explained more easily.The Seven Pillars of Statistical Wisdom presents an original, unified account of statistical science that will fascinate the interested layperson and engage the professional statistician."

The Righteous Mind: Why Good People Are Divided by Politics and Religion


Jonathan Haidt - 2012
     His starting point is moral intuition—the nearly instantaneous perceptions we all have about other people and the things they do. These intuitions feel like self-evident truths, making us righteously certain that those who see things differently are wrong. Haidt shows us how these intuitions differ across cultures, including the cultures of the political left and right. He blends his own research findings with those of anthropologists, historians, and other psychologists to draw a map of the moral domain. He then examines the origins of morality, overturning the view that evolution made us fundamentally selfish creatures. But rather than arguing that we are innately altruistic, he makes a more subtle claim—that we are fundamentally groupish. It is our groupishness, he explains, that leads to our greatest joys, our religious divisions, and our political affiliations. In a stunning final chapter on ideology and civility, Haidt shows what each side is right about, and why we need the insights of liberals, conservatives, and libertarians to flourish as a nation.

What Video Games Have to Teach Us about Learning and Literacy


James Paul Gee - 2003
    James Paul Gee begins his new book with 'I want to talk about vide games- yes, even violent video games - and say some positive things about them'. With this simple but explosive beginning, one of America's most well-respected professors of education looks seriously at the good that can come from playing video games. Gee is interested in the cognitive development that can occur when someone is trying to escape a maze, find a hidden treasure and, even, blasting away an enemy with a high-powered rifle. Talking about his own video-gaming experience learning and using games as diverse as Lara Croft and Arcanum, Gee looks at major specific cognitive activities: How individuals develop a sense of identity; How one grasps meaning; How one evaluates and follows a command; How one picks a role model; How one perceives the world.

Religion Explained: The Evolutionary Origins of Religious Thought


Pascal Boyer - 2001
    And Man Creates God tells readers, for the first time, what religious feeling is really about, what it consists of, and how it originates. It is a beautifully written, very accessible book by an anthropologist who is highly respected on both sides of the Atlantic. As a scientific explanation for religious feeling, it is sure to arouse controversy.

Grooming, Gossip, and the Evolution of Language


Robin I.M. Dunbar - 1997
    It's an evolutionary riddle that at long last makes sense in this intriguing book about what gossip has done for our talkative species. Psychologist Robin Dunbar looks at gossip as an instrument of social order and cohesion--much like the endless grooming with which our primate cousins tend to their social relationships.Apes and monkeys, humanity's closest kin, differ from other animals in the intensity of these relationships. All their grooming is not so much about hygiene as it is about cementing bonds, making friends, and influencing fellow primates. But for early humans, grooming as a way to social success posed a problem: given their large social groups of 150 or so, our earliest ancestors would have had to spend almost half their time grooming one another--an impossible burden. What Dunbar suggests--and his research, whether in the realm of primatology or in that of gossip, confirms--is that humans developed language to serve the same purpose, but far more efficiently. It seems there is nothing idle about chatter, which holds together a diverse, dynamic group--whether of hunter-gatherers, soldiers, or workmates.Anthropologists have long assumed that language developed in relationships among males during activities such as hunting. Dunbar's original and extremely interesting studies suggest otherwise: that language in fact evolved in response to our need to keep up to date with friends and family. We needed conversation to stay in touch, and we still need it in ways that will not be satisfied by teleconferencing, email, or any other communication technology. As Dunbar shows, the impersonal world of cyberspace will not fulfill our primordial need for face-to-face contact.From the nit-picking of chimpanzees to our chats at coffee break, from neuroscience to paleoanthropology, Grooming, Gossip, and the Evolution of Language offers a provocative view of what makes us human, what holds us together, and what sets us apart.

Steps to an Ecology of Mind: Collected Essays in Anthropology, Psychiatry, Evolution, and Epistemology


Gregory Bateson - 1972
    With a new foreword by his daughter Mary Katherine Bateson, this classic anthology of his major work will continue to delight and inform generations of readers. "This collection amounts to a retrospective exhibition of a working life. . . . Bateson has come to this position during a career that carried him not only into anthropology, for which he was first trained, but into psychiatry, genetics, and communication theory. . . . He . . . examines the nature of the mind, seeing it not as a nebulous something, somehow lodged somewhere in the body of each man, but as a network of interactions relating the individual with his society and his species and with the universe at large."—D. W. Harding, New York Review of Books "[Bateson's] view of the world, of science, of culture, and of man is vast and challenging. His efforts at synthesis are tantalizingly and cryptically suggestive. . . .This is a book we should all read and ponder."—Roger Keesing, American Anthropologist

Loserthink: How Untrained Brains Are Ruining America


Scott Adams - 2019
     If you've been on social media lately, or turned on your TV, you may have noticed a lot of dumb ideas floating around."We know when history will repeat and when it won't.""We can tell the difference between evidence and coincidences.""The simplest explanation is usually true."Wrong, wrong, and dangerous!If we're not careful, loserthink would have us believe that every Trump supporter is a bigoted racist, addicts should be responsible for fixing the opioid epidemic, and that your relationship fell apart simply because you chewed with your mouth open.Even the smartest people can slip into loserthink's seductive grasp. This book will teach you how to spot and avoid it--and will give you scripts to respond when hollow arguments are being brandished against you, whether by well-intentioned friends, strangers on the internet, or political pundits. You'll also learn how to spot the underlying causes of loserthink, like the inability to get ego out of your decisions, thinking with words instead of reasons, failing to imagine alternative explanations, and making too much of coincidences.Your bubble of reality doesn't have to be a prison. This book will show you how to break free--and, what's more, to be among the most perceptive and respected thinkers in every conversation.

The Web of Life: A New Scientific Understanding of Living Systems


Fritjof Capra - 1996
    Now, in The Web of Life, he takes yet another giant step forward, offering a brilliant synthesis of such recent scientific breakthroughs as the theory of complexity, Gaia theory, and chaos theory. 25 line drawings.

The Selfish Gene


Richard Dawkins - 1976
    Suppose, instead of thinking about organisms using genes to reproduce themselves, as we had since Mendel's work was rediscovered, we turn it around and imagine that "our" genes build and maintain us in order to make more genes. That simple reversal seems to answer many puzzlers which had stumped scientists for years, and we haven't thought of evolution in the same way since. Drawing fascinating examples from every field of biology, he paved the way for a serious re-evaluation of evolution. He also introduced the concept of self-reproducing ideas, or memes, which (seemingly) use humans exclusively for their propagation. If we are puppets, he says, at least we can try to understand our strings.

Evolution in Four Dimensions: Genetic, Epigenetic, Behavioral, and Symbolic Variation in the History of Life


Eva Jablonka - 2005
    New findings in molecular biology challenge the gene-centered version of Darwinian theory according to which adaptation occurs only through natural selection of chance DNA variations. In Evolution in Four Dimensions, Eva Jablonka and Marion Lamb argue that there is more to heredity than genes. They trace four dimensions in evolution -- four inheritance systems that play a role in evolution: genetic, epigenetic (or non-DNA cellular transmission of traits), behavioral, and symbolic (transmission through language and other forms of symbolic communication). These systems, they argue, can all provide variations on which natural selection can act. Evolution in Four Dimensions offers a richer, more complex view of evolution than the gene-based, one-dimensional view held by many today. The new synthesis advanced by Jablonka and Lamb makes clear that induced and acquired changes also play a role in evolution. After discussing each of the four inheritance systems in detail, Jablonka and Lamb put Humpty Dumpty together again by showing how all of these systems interact. They consider how each may have originated and guided evolutionary history and they discuss the social and philosophical implications of the four-dimensional view of evolution. Each chapter ends with a dialogue in which the authors engage the contrarieties of the fictional (and skeptical) I.M., or Ifcha Mistabra -- Aramaic for the opposite conjecture -- refining their arguments against I.M.'s vigorous counterarguments. The lucid and accessible text is accompanied by artist-physician Anna Zeligowski's lively drawings, which humorously and effectively illustrate the authors' points.

Journey through Genius: The Great Theorems of Mathematics


William Dunham - 1990
    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

The Tree of Knowledge: The Biological Roots of Human Understanding


Humberto R. Maturana - 1984
    Its authors present a new view of cognition that has important social and ethical implications, for, they assert, the only world we humans can have is the one we create together through the actions of our coexistence. Written for a general audience as well as for students, scholars, and scientists and abundantly illustrated with examples from biology, linguistics, and new social and cultural phenomena, this revised edition includes a new afterword by Dr. Varela, in which he discusses the effect the book has had in the years since its first publication.

The Origin of Consciousness in the Breakdown of the Bicameral Mind


Julian Jaynes - 1976
    The implications of this revolutionary scientific paradigm extend into virtually every aspect of our psychology, our history and culture, our religion -- and indeed our future.

Deep Simplicity: Bringing Order to Chaos and Complexity


John Gribbin - 2004
    Now astrophysicist John Gribbin draws on his expertise to explore, in prose that communicates not only the wonder but the substance of cutting-edge science, the principles behind chaos and complexity. He reveals the remarkable ways these two revolutionary theories have been applied over the last twenty years to explain all sorts of phenomena–from weather patterns to mass extinctions.Grounding these paradigm-shifting ideas in their historical context, Gribbin also traces their development from Newton to Darwin to Lorenz, Prigogine, and Lovelock, demonstrating how–far from overturning all that has gone before–chaos and complexity are the triumphant extensions of simple scientific laws. Ultimately, Gribbin illustrates how chaos and complexity permeate the universe on every scale, governing the evolution of life and galaxies alike.