Explains how scientists who study complexity are convinced that certain constant processes are at work in all kinds of unrelated complex systems.

    “They are both brilliantly original and outsiders,” the narrator tells us. “They are both besotted with mathematics. But for all their devotion, mathematics is indifferent, unaltered by any of their dramas . . . Against indifference, I want to tell their stories.” Which she does in a haunting, incantatory voice, the two lives unfolding in parallel narratives that overlap in the magnitude of each man’s achievement and demise: Gödel, delusional and paranoid, would starve himself to death; Turing, arrested for homosexual activities, would be driven to suicide. And they meet as well in the narrator’s mind, where facts are interwoven with her desire and determination to find meaning in the maze of their stories: two men devoted to truth of the highest abstract nature, yet unable to grasp the mundane truths of their own lives.A unique amalgam of luminous imagination and richly evoked historic character and event—A Madman Dreams of Turing Machines is a story about the pursuit of truth and its effect on the lives of two men. A story of genius and madness, incredible yet true.

    Among the old chestnuts he cracks wide open are the following classics: Knights and knaves The monk and the mountain The dominoes and the chessboard The unexpected hanging The Tower of HanoiUsing real-world analogies, infectious humor, and a fresh approach, this deceptively simple volume will challenge, amuse, enlighten, and surprise even the most experienced puzzle solver.

    This is a classic timeless collection of advice and teachings about the importance of love and compassion, individual responsibility and awareness of the problems in everyday life. Whoever you are, whatever your beliefs, the Dalai Lama’s words have the power to calm and inspire.

    Most psychologists study horizontal processes like memory and information flow; Fodor postulates a vertical and modular psychological organization underlying biologically coherent behaviors. This view of mental architecture is consistent with the historical tradition of faculty psychology while integrating a computational approach to mental processes. One of the most notable aspects of Fodor's work is that it articulates features not only of speculative cognitive architectures but also of current research in artificial intelligence.

    We cannot choose to avoid philosophy, we can only choose whether we understand it or not. Stefan Molyneux, host of Freedomain Radio – the largest and most popular philosophy show in the world, with over 600 million views and downloads – takes you on a spectacular journey through the most foundational philosophical questions of the ages, clearing up and clarifying the most thorny problems posed by philosophers throughout history: -How do we know what is real? -How do we know what is true? -How do we know what is right? -How do we know what is good? -How do we know we even have a choice? -How do we convince others? These are all questions that we – as individuals and societies – wrestle with every day. These questions have challenged, motivated and plagued mankind for thousands of years. “Essential Philosophy” answers these questions with rigourous, illuminating and entertaining logic, reasoning from deep first principles to spectacular final conclusions. There is no need for confusion, there is no need for despair, there is no need for fear – pick up this book now, absorb the true power of philosophy, and live a rational moral life to the fullest. And then, give “Essential Philosophy” to others, so that the world may one day live in reason and peace.

    This volume is a theoretical and practical approach to the design of computer technology.

    From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.

    For the first time in history, the secrets of the living brain are being revealed by a battery of high tech brain scans devised by physicists. Now what was once solely the province of science fiction has become a startling reality. Recording memories, telepathy, videotaping our dreams, mind control, avatars, and telekinesis are not only possible; they already exist. The Future of the Mind gives us an authoritative and compelling look at the astonishing research being done in top laboratories around the world—all based on the latest advancements in neuroscience and physics. One day we might have a "smart pill" that can enhance our cognition; be able to upload our brain to a computer, neuron for neuron; send thoughts and emotions around the world on a "brain-net"; control computers and robots with our mind; push the very limits of immortality; and perhaps even send our consciousness across the universe. Dr. Kaku takes us on a grand tour of what the future might hold, giving us not only a solid sense of how the brain functions but also how these technologies will change our daily lives. He even presents a radically new way to think about "consciousness" and applies it to provide fresh insight into mental illness, artificial intelligence and alien consciousness. With Dr. Kaku's deep understanding of modern science and keen eye for future developments, The Future of the Mind is a scientific tour de force--an extraordinary, mind-boggling exploration of the frontiers of neuroscience.

    "The Theory of Everything" presents the most complex theories, both past and present, of physics; yet it remains clear and accessible. It will enlighten readers and expose them to the rich history of scientific thought and the complexities of the universe in which we live.

    If the conscious mind—the part you consider you—accounts for only a tiny fraction of the brain’s function, what is all the rest doing? This is the question that David Eagleman—renowned neuroscientist and acclaimed author of Sum—answers in a book as accessible and entertaining as it is deeply informed by startling, up-to-the-minute research.

    To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information (Alan Turing's role in breaking Germany's Enigma code during World War II), and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security.Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

    But for those of us who left math behind in high school, the numbers and figures hurled at us as we go about our days can sometimes leave us scratching our heads and feeling as if we’re fumbling through a mathematical minefield. In this eye-opening and extraordinarily accessible book, mathemati­cian Kit Yates illuminates hidden principles that can help us understand and navigate the chaotic and often opaque surfaces of our world. In The Math of Life and Death, Yates takes us on a fascinating tour of everyday situations and grand-scale applications of mathematical concepts, including exponential growth and decay, optimization, statistics and probability, and number systems. Along the way he reveals the mathematical undersides of controversies over DNA testing, medical screening results, and historical events such as the Chernobyl disaster and the Amanda Knox trial. Readers will finish this book with an enlightened perspective on the news, the law, medicine, and history, and will be better equipped to make personal decisions and solve problems with math in mind, whether it’s choosing the shortest checkout line at the grocery store or halting the spread of a deadly disease.

    Essentially, you make an initial guess, and then get more data to improve it. Bayes Theorem, or Bayes Rule, has a ton of real world applications, from estimating your risk of a heart attack to making recommendations on Netflix But It Isn't That Complicated This book is a short introduction to Bayes Theorem. It is only 15 pages long, and is intended to show you how Bayes Theorem works as quickly as possible. The examples are intentionally kept simple to focus solely on Bayes Theorem without requiring that the reader know complicated probability distributions. If you want to learn the basics of Bayes Theorem as quickly as possible, with some easy to duplicate examples, this is a good book for you.

    Now that you're making the shift to online teaching, it's time to answer your biggest questions about remote, digitally based instruction:How do I build and nurture relationships with students and their at-home adults from afar? How do I adapt my best teaching to an online setting? How do I keep a focus on students and their needs when they aren't in front of me? Jennifer Serravallo's Connecting with Students Online gives you concise, doable answers based on her own experiences and those of the teachers, administrators, and coaches she has communicated with during the pandemic. Focusing on the vital importance of the teacher-student connection, Jen guides you to:effectively prioritize what matters most during remote, online instruction schedule your day and your students' to maximize teaching and learning (and avoid burnout) streamline curricular units and roll them out digitally record highly engaging short lessons that students will enjoy and learn from confer, working with small groups, and drive learning through independent practice partner with the adults in a student's home to support your work with their child. Featuring simplified, commonsense suggestions, 55 step-by-step teaching strategies, and video examples of Jen conferring and working with small groups, Connecting with Students Online helps new teachers, teachers new to technology, or anyone who wants to better understand the essence of effective online instruction. Along the way Jen addresses crucial topics including assessment and progress monitoring, student engagement and accountability, using anchor charts and visuals, getting books into students' hands, teaching subject-area content, and avoiding teacher burnout.During this pandemic crisis turn to one of education's most trusted teaching voices to help you restart or maintain students' progress. Jennifer Serravallo's Connecting with Students Online is of-the-moment, grounded in important research, informed by experience, and designed to get you teaching well-and confidently-as quickly as possible. Jen will be donating a portion of the proceeds from Connecting with Students Online to organizations that help children directly impacted by COVID-19.