Cheng is a mathematician, so she knows how to make an airtight argument. But even for her, logic sometimes falls prey to emotion, which is why she still fears flying and eats more cookies than she should. If a mathematician can't be logical, what are we to do? In this book, Cheng reveals the inner workings and limitations of logic, and explains why alogic--for example, emotion--is vital to how we think and communicate. Cheng shows us how to use logic and alogic together to navigate a world awash in bigotry, mansplaining, and manipulative memes. Insightful, useful, and funny, this essential book is for anyone who wants to think more clearly.

    Lorentz.

    Through it you can change your circumstances, live according to a developing sense of personal responsibility, effect change around you, and stop living as a helpless cog in some clockwork universe. All acts of personal/collective liberation are magical acts. Magic leads us into exhilaration and ecstasy; into insight and understanding; into changing ourselves and the world in which we participate. Through magic we may come to explore the possibilities of freedom.

    A genius who throughout his life solved complex mathematical calculations in his head, and a writer gifted with an inimitable style, Poincaré rose to the challenge of interpreting the philosophy of science to scientists and nonscientists alike. His lucid and welcoming prose made him the Carl Sagan of his time. This volume collects his three most important books: Science and Hypothesis (1903); The Value of Science (1905); and Science and Method (1908).

    Using Carl Johan Calleman’s research, as well as the ideas of other Mayan Calendar scholars, Barbara Hand Clow examines 16.4 billion years of evolution to decode the creative patterns of Earth--the World Mind. These great patterns culminated in 2011, but subsequent astrological influences have continued to inspire us to attain oneness and enlightenment. The Mayan Code shows how the time cycles of the Calendar match important periods in the evolutionary data banks of Earth and the Milky Way Galaxy. These stages of evolution converged during the final stage of the Calendar, the period between 1999 and 2011. Evidence of the tightening spiral of time that we experience as time speeding up--war and territoriality, resource management and separation from nature--are all part of daily events we must process during the coming years. Barbara Hand Clow counsels that our own personal healing is the most important factor as we prepare to make this critical leap in human evolution--now referred to as the awakening of the World Mind.

    Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

    This introduction to the Western esoteric traditionsoffers a concise overview of their historical development.Nicholas Goodrick-Clarke explores these traditions, from their roots in Hermeticism, Neo-Platonism, and Gnosticism in the early Christian era up to their reverberations in today's scientific paradigms. While the study of Western esotericism is usually confined to the history of ideas, Goodrick-Clarke examines the phenomenon much more broadly. He demonstrates that, far from being a strictly intellectual movement, the spread of esotericism owes a great deal to geopolitics and globalization. In Hellenistic culture, for example, the empire of Alexander the Great, which stretchedacross Egypt and Western Asia to provinces in India, facilitated a mixing of Eastern and Western cultures. As the Greeks absorbed ideas from Egypt, Babylon, Assyria, and Persia, they gave rise to the first esoteric movements.From the late sixteenth to the eighteenth centuries, post-Reformation spirituality found expression in theosophy, Rosicrucianism and Freemasonry. Similarly, in the modern era, dissatisfaction with the hegemony of science in Western culture and a lack of faith in traditional Christianity ledthinkers like Madame Blavatsky to look East for spiritual inspiration. Goodrick-Clarke further examines Modern esoteric thought in the light of new scientific and medical paradigms along with the analytical psychology of Carl Gustav Jung. This book traces the complete history of these movements andis the definitive account of Western esotericism.

    The work is predicated on the idea that studying mathematics can generate the same enthusiasm as playing a team sport - without necessarily being competitive.

    C. Escher and composer Johann Sebastian Bach, discussing common themes in their work and lives. At a deeper level, the book is a detailed and subtle exposition of concepts fundamental to mathematics, symmetry, and intelligence. Through illustration and analysis, the book discusses how self-reference and formal rules allow systems to acquire meaning despite being made of "meaningless" elements. It also discusses what it means to communicate, how knowledge can be represented and stored, the methods and limitations of symbolic representation, and even the fundamental notion of "meaning" itself. In response to confusion over the book's theme, Hofstadter has emphasized that GEB is not about mathematics, art, and music but rather about how cognition and thinking emerge from well-hidden neurological mechanisms.

    Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively

    An account of how quantum physics is putting forward ideas that confirm the perceived beliefs of mystics who think the world is an illusion

    40 illustrations throughout.

    This classic companion to The World's Religions articulates the remarkable unity that underlies the world's religious traditions

    Born in Muslim Spain, he has become famous in the West as the greatest mystical thinker of Islamic civilization. He was a great philosopher, theologian, and poet.William Chittick takes a major step toward exposing the breadth and depth of Ibn al-'Arabi's vision. The book offers his view of spiritual perfection and explains his theology, ontology, epistemology, hermeneutics, and soteriology. The clear language, unencumbered by methodological jargon, makes it accessible to those familiar with other spiritual traditions, while its scholarly precision will appeal to specialists.Beginning with a survey of Ibn al-'Arabi's major teachings, the book gradually introduces the most important facets of his thought, devoting attention to definitions of his basic terminology. His teachings are illustrated with many translated passages introducing readers to fascinating byways of spiritual life that would not ordinarily be encountered in an account of a thinker's ideas. Ibn al-'Arabi is allowed to describe in detail the visionary world from which his knowledge derives and to express his teachings in his own words.More than 600 passages from his major work, al-Futuhat al-Makkivva, are translated here, practically for the first time. These alone provide twice the text of the Fusus al-hikam. The exhaustive indexes make the work an invaluable reference tool for research in Sufism and Islamic thought in general.

    In this unconventional introduction, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Unlike most popular physics books—which give readers a taste of what physicists know but shy away from equations or math—Susskind and Hrabovsky actually teach the skills you need to do physics, beginning with classical mechanics, yourself. Based on Susskind's enormously popular Stanford University-based (and YouTube-featured) continuing-education course, the authors cover the minimum—the theoretical minimum of the title—that readers need to master to study more advanced topics.An alternative to the conventional go-to-college method, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace.