Barrow's Pi in the Sky is a profound -- and profoundly different -- exploration of the world of mathematics: where it comes from, what it is, and where it's going to take us if we follow it to the limit in our search for the ultimate meaning of the universe. Barrow begins by investigating whether math is a purely human invention inspired by our practical needs. Or is it something inherent in nature waiting to be discovered?In answering these questions, Barrow provides a bridge between the usually irreconcilable worlds of mathematics and theology. Along the way, he treats us to a history of counting all over the world, from Egyptian hieroglyphics to logical friction, from number mysticism to Marxist mathematics. And he introduces us to a host of peculiar individuals who have thought some of the deepest and strangest thoughts that human minds have ever thought, from Lao-Tse to Robert Pirsig, Charles Darwin, and Umberto Eco. Barrow thus provides the historical framework and the intellectual tools necessary to an understanding of some of today's weightiest mathematical concepts.

    In this book, Louis Sass, a clinical psychologist, offers a new vision of schizophrenia, comparing it with the works of such artists and writers as Kafka, Beckett, and Duchamp and philosophers including Nietzsche, Heidegger, Foucault and Derrida. It provides a portrait of the world of the madman, along with a commentary on modernist and postmodernist culture.

    Victor Stenger reviews the key developments in the history of science that led to the current consensus view of astrophysicists, taking pains to explain essential concepts and discoveries in accessible terminology. The author shows that science’s emerging understanding of the multiverse—consisting of trillions upon trillions of galaxies—is fully explicable in naturalistic terms with no need for supernatural forces to explain its origin or ongoing existence. How can conceptions of God, traditional or otherwise, be squared with this new worldview? The author shows how long-held beliefs will need to undergo major revision or otherwise face eventual extinction.

    His ideas spread like wildfire across Europe, offering the scientific view that the natural world, including the soul of man, was a proper subject of study. The rediscovery of these ancient ideas sparked riots and heresy trials, caused major upheavals in the Catholic Church, and also set the stage for today's rift between reason and religion. In Aristotle's Children, Richard Rubenstein transports us back in history, rendering the controversies of the Middle Ages lively and accessible-and allowing us to understand the philosophical ideas that are fundamental to modern thought.

    In this small volume, Miranda Lundy presents a unique introduction to this most ancient and timeless of universal sciences.Sacred Geometry demonstrates what happens to space in two dimensions - a subject last flowering in the art, science and architecture of the Renaissance and seen in the designs of Stonehenge, mosque decorations and church windows. With exquisite hand-drawn images throughout showing the relationship between shapes, the patterns of coin circles, and the definition of the golden section, it will forever alter the way in which you look at a triangle, hexagon, arch, or spiral.

    Our changing concept of time, and the surprising, often mysterious origins of the calendar, comes to life in this richly informative, beautifully written book.

    The adjective 'medieval' has become a synonym for brutality and uncivilized behavior. Yet without the work of medieval scholars there could have been no Galileo, no Newton and no Scientific Revolution. In God's Philosophers, James Hannam debunks many of the myths about the Middle Ages, showing that medieval people did not think the earth is flat, nor did Columbus 'prove' that it is a sphere; the Inquisition burnt nobody for their science nor was Copernicus afraid of persecution; no Pope tried to ban human dissection or the number zero. God's Philosophers is a celebration of the forgotten scientific achievements of the Middle Ages - advances which were often made thanks to, rather than in spite of, the influence of Christianity and Islam. Decisive progress was also made in technology: spectacles and the mechanical clock, for instance, were both invented in thirteenth-century Europe. Charting an epic journey through six centuries of history, God's Philosophers brings back to light the discoveries of neglected geniuses like John Buridan, Nicole Oresme and Thomas Bradwardine, as well as putting into context the contributions of more familiar figures like Roger Bacon, William of Ockham and Saint Thomas Aquinas.

    From radical life extension to cryonic suspension to mind uploading, Shermer considers how realistic these attempts are from a proper skeptical perspective.Heavens on Earth concludes with an uplifting paean to purpose and progress and how we can live well in the here-and-now, whether or not there is a hereafter.

    The Cave and the Light is a magisterial account of how the two greatest thinkers of the ancient world, Plato and Aristotle, laid the foundations of Western culture—and how their rivalry shaped the essential features of our culture down to the present day.   Plato came from a wealthy, connected Athenian family and lived a comfortable upper-class lifestyle until he met an odd little man named Socrates, who showed him a new world of ideas and ideals. Socrates taught Plato that a man must use reason to attain wisdom, and that the life of a lover of wisdom, a philosopher, was the pinnacle of achievement. Plato dedicated himself to living that ideal and went on to create a school, his famed Academy, to teach others the path to enlightenment through contemplation.   However, the same Academy that spread Plato’s teachings also fostered his greatest rival. Born to a family of Greek physicians, Aristotle had learned early on the value of observation and hands-on experience. Rather than rely on pure contemplation, he insisted that the truest path to knowledge is through empirical discovery and exploration of the world around us. Aristotle, Plato’s most brilliant pupil, thus settled on a philosophy very different from his instructor’s and launched a rivalry with profound effects on Western culture.   The two men disagreed on the fundamental purpose of the philosophy. For Plato, the image of the cave summed up man’s destined path, emerging from the darkness of material existence to the light of a higher and more spiritual truth. Aristotle thought otherwise. Instead of rising above mundane reality, he insisted, the philosopher’s job is to explain how the real world works, and how we can find our place in it. Aristotle set up a school in Athens to rival Plato’s Academy: the Lyceum. The competition that ensued between the two schools, and between Plato and Aristotle, set the world on an intellectual adventure that lasted through the Middle Ages and Renaissance and that still continues today.   From Martin Luther (who named Aristotle the third great enemy of true religion, after the devil and the Pope) to Karl Marx (whose utopian views rival Plato’s), heroes and villains of history have been inspired and incensed by these two master philosophers—but never outside their influence.   Accessible, riveting, and eloquently written, The Cave and the Light provides a stunning new perspective on the Western world, certain to open eyes and stir debate.Praise for The Cave and the Light   “A sweeping intellectual history viewed through two ancient Greek lenses . . . breezy and enthusiastic but resting on a sturdy rock of research.”—Kirkus Reviews   “Examining mathematics, politics, theology, and architecture, the book demonstrates the continuing relevance of the ancient world.”—Publishers Weekly  “A fabulous way to understand over two millennia of history, all in one book.”—Library Journal  “Entertaining and often illuminating.”—The Wall Street JournalFrom the Hardcover edition.

    The book takes us from the Greeks' earliest scientific observations through Einstein and beyond in an inspiring celebration of human curiosity. It ends with the quest for the Higgs boson, nicknamed the God Particle, which scientists hypothesize will help unlock the last secrets of the subatomic universe. With a new preface by Lederman, The God Particle will leave you marveling at our continuing pursuit of the infinitesimal.

    Once, humans were benighted by superstition and irrationality, but then the Greeks invented reason. Later, the Enlightenment enshrined rationality as the supreme value. Discovering that reason is the defining feature of our species, we named ourselves the "rational animal." But is this flattering story itself rational? In this sweeping account of irrationality from antiquity to today--from the fifth-century BC murder of Hippasus for revealing the existence of irrational numbers to the rise of Twitter mobs and the election of Donald Trump—Justin Smith says the evidence suggests the opposite. From sex and music to religion and war, irrationality makes up the greater part of human life and history.Rich and ambitious, Irrationality ranges across philosophy, politics, and current events. Challenging conventional thinking about logic, natural reason, dreams, art and science, pseudoscience, the Enlightenment, the internet, jokes and lies, and death, the book shows how history reveals that any triumph of reason is temporary and reversible, and that rational schemes, notably including many from Silicon Valley, often result in their polar opposite. The problem is that the rational gives birth to the irrational and vice versa in an endless cycle, and any effort to permanently set things in order sooner or later ends in an explosion of unreason. Because of this, it is irrational to try to eliminate irrationality. For better or worse, it is an ineradicable feature of life.Illuminating unreason at a moment when the world appears to have gone mad again, Irrationality is fascinating, provocative, and timely.

    In The Mind of God, physicist Paul Davies explores whether modern science can provide the key that will unlock this last secret. In his quest for an ultimate explanation, Davies reexamines the great questions that have preoccupied humankind for millennia, and in the process explores, among other topics, the origin and evolution of the cosmos, the nature of life and consciousness, and the claim that our universe is a kind of gigantic computer. Charting the ways in which the theories of such scientists as Newton, Einstein, and more recently Stephen Hawking and Richard Feynman have altered our conception of the physical universe. Davies puts these scientists' discoveries into context with the writings of philosophers such as Plato. Descartes, Hume, and Kant. His startling conclusion is that the universe is "no minor byproduct of mindless, purposeless forces. We are truly meant to be here." By the means of science, we can truly see into the mind of God.

    Richard Tarnas performs the near-miracle of describing profound philosophical concepts simply but without simplifying them. Ten years in the making and already hailed as a classic, THE PASSION OF THE WESERN MIND is truly a complete liberal education in a single volume.

    From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

    But the history of our civilization is also filled with unspeakable brutality—for every Leonardo there is a Mussolini, for every Beethoven symphony a concentration camp, for every Chrysler Building a My Lai massacre.An ambitious historical assessment of the Western world—tying together the histories of empires, art, philosophy, science, and politics—Civilization reexamines and confronts us with all of our glories and catastrophes. At such a dangerous time in the world's history, this brilliant book is required reading.