Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

    Yet they remain among the most mysterious of concepts. Is space an entity? Why does time have a direction? Could the universe exist without space and time? Can we travel to the past? Greene has set himself a daunting task: to explain non-intuitive, mathematical concepts like String Theory, the Heisenberg Uncertainty Principle, and Inflationary Cosmology with analogies drawn from common experience. From Newton’s unchanging realm in which space and time are absolute, to Einstein’s fluid conception of spacetime, to quantum mechanics’ entangled arena where vastly distant objects can instantaneously coordinate their behavior, Greene takes us all, regardless of our scientific backgrounds, on an irresistible and revelatory journey to the new layers of reality that modern physics has discovered lying just beneath the surface of our everyday world.

    In elegant, witty three-page summations, Dr. Trefil "makes sense of science for the rest of us" (Washington Post).

    But the environmental emergency is also a crisis for our philosophical habits of thought, confronting us with a problem that seems to defy not only our control but also our understanding. Global warming is perhaps the most dramatic example of what Timothy Morton calls “hyperobjects”—entities of such vast temporal and spatial dimensions that they defeat traditional ideas about what a thing is in the first place. In this book, Morton explains what hyperobjects are and their impact on how we think, how we coexist with one another and with nonhumans, and how we experience our politics, ethics, and art.Moving fluidly between philosophy, science, literature, visual and conceptual art, and popular culture, the book argues that hyperobjects show that the end of the world has already occurred in the sense that concepts such as world, nature, and even environment are no longer a meaningful horizon against which human events take place. Instead of inhabiting a world, we find ourselves inside a number of hyperobjects, such as climate, nuclear weapons, evolution, or relativity. Such objects put unbearable strains on our normal ways of reasoning.Insisting that we have to reinvent how we think to even begin to comprehend the world we now live in, Hyperobjects takes the first steps, outlining a genuinely postmodern ecological approach to thought and action.

    But those that aren't, those that purport to document or comment on such phenomena in what passes for "real life" vary across such a wide range of quality, credulity & comprehensibility that it's tempting to dismiss them all as pure badly-written hokum. Of course, as in any genre, no matter how microscopic, there are classics. Charles Fort's Book of the Damned is surely in the forefront. But once you get past the looming shadow of Charles Fort, matters become far murkier. Patrick Harpur's Daimonic Reality is a work that would surely make the top ten lists of many Fortean scholars. Subtitled A Field Guide to the Otherworld, Daimonic Reality synthesizes the reports of many different phenomena into a single Unified Field Theory of the Strange. It's an audacious attempt that largely succeeds. Harpur has a low key writing style that makes this work easy to read. His comprehensive knowledge of a wide variety of inexplicable events is impressive & entertaining. Most importantly, he has drawn together these disparate elements with a rather interesting philosophical take that looks to Jung, Fort, Blake, Yeats & beyond. There are enough elements in this stew to make it a really tasty treat for the hungry mind. Daimonic Reality is divided into three sections thru which Harpur journeys ever deeper into the mind behind the perceptions. But he's careful not to shortchange the perceptions & events themselves. Part One: Apparitions covers apparitions of all kinds, from UFOs to lights in the sky, from aliens & fairies to sightings of Black Dogs & Big Cats. Harpur's economical coverage of these subjects makes it easy for any level of Fortean reader to enjoy the individuality of each experience. But this treatment also enables the reader to step back & see the bigger picture, to move towards the idea of the otherworld. The individual reports are carefully chosen & beautifully written. Harpur takes a more substantial step towards the otherworld in Part Two: Vision. Starting with a discussion of "seeing things", he moves on to visions of Ladies, which are dominated by (but not exclusively) visions of the Blessed Virgin Mary. He discusses the evidence that these encounters leave behind, from fairy shoes to crop circles. (Coming soon to a theater near you.) He talked about the part that Imagination plays in the otherworld & finally reaches the mythic land itself. In Part Three: Otherworld Journeys, Harpur gives both practical & philosophical advice for otherworld journeys. He discusses the variety of journeys that one can have, from missing time to alien encounters, from a trip to fairyland to an out-of-body experience. When Harpur sticks to the practical, he has practically no peer in writing compelling prose about otherworldly experiences. His philosophical thoughts aren't quite as page-turning, but they're pithy, fascinating & pertinent. Harpur isn't content to merely provoke thought. He wants to invoke internal debate in the reader, & does so with some formal philosophical discussion that is difficult to pull off with the authority that Harpur achieves. He's a remarkably intelligent writer & his work requires a reader of nearly equal intelligence. You don't have to be a philosopher to read Harpur's work, but it certainly helps to be philosophically inclined. This isn't mere reportage of events, but a reasoned analysis, with conclusions that go well beyond 'Is it real or are they all just a bunch of crazy yahoos?' That there is an audience for this sort of thinking is shown by the eternal sales of the works of writers such as Carlos Castenada, not to mention the immense & increasing popularity of Fortean fiction, horror, science fiction & fantasy. That's because Harpur is looking to snatch something from the center of creation, something that is partly in the human mind & partly in the otherworld. Daimonic Reality does an excellent job grasping at the ineffable & getting it in print. As of 2/2003, this title is back in print by Pine Winds Press/Idyll Arbor. They've chosen an equally nice cover print, & are publishing the book as a sturdy US hardcover. Better yet, they're a small press, so you can buy directly from them. Since Harpur has managed to wrestle the ineffable into print, we've got to thank Pine Winds Press for keeping it in print.--Rick Kleffel

    Einstein said that the most incredible thing about our universe was that it was comprehensible at all. As Kitty Ferguson explains, Pythagoras had much the same idea - but 2,500 years earlier. Though known by many only for his famous Theorem, in fact the pillars of our scientific tradition - belief that the universe is rational, that there is unity to all things, and that numbers and mathematics are a powerful guide to truth about nature and the cosmos - hark back to the convictions of this legendary scholar. Kitty Ferguson brilliantly evokes Pythagoras' ancient world of, showing how ideas spread in antiquity, and chronicles the incredible influence he and his followers have had on so many extraordinary people in the history of Western thought and science. 'Pythagoras' influence on the ideas, and therefore on the destiny, of the human race was probably greater than that of any single man before or after him' - Arthur Koestler.

    Gilson examines Greek, Christian, and modern philosophy as well as the thinking that has grown out of our age of science in this fundamental analysis of the problem of God. “[I] commend to another generation of seekers and students this deeply earnest and yet wistfully gentle little essay on the most important (and often, at least nowadays, the most neglected) of all metaphysical—and existential—questions. . . . The historical sweep is breathtaking, the one-liners arresting, and the style, both intellectual and literary, altogether engaging.” —Jaroslav Pelikan, from the foreword “We have come to expect from the pen of M. Gilson not only an accurate exposition of the thought of the great philosophers, ancient and modern, but what is of much more importance and of greater interest, a keen and sympathetic insight into the reasons for that thought. The present volume does not fail to fulfill our expectations. It should be read by every Christian thinker.” —Ralph O. Dates, America

    This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

    

    Here are up-to-date arguments for God's existence and for Jesus' deity and resurrection, answers to objections to Christian theism, and discussions of four key issues.

    Despite distressing statistics that show suicide rates rising, the subject, long a taboo, is infrequently talked about. In this sweeping intellectual and cultural history, poet and historian Jennifer Michael Hecht channels her grief for two friends lost to suicide into a search for history’s most persuasive arguments against the irretrievable act, arguments she hopes to bring back into public consciousness. From the Stoics and the Bible to Dante, Shakespeare, Wittgenstein, and such twentieth-century writers as John Berryman, Hecht recasts the narrative of our “secular age” in new terms. She shows how religious prohibitions against self-killing were replaced by the Enlightenment’s insistence on the rights of the individual, even when those rights had troubling applications. This transition, she movingly argues, resulted in a profound cultural and moral loss: the loss of shared, secular, logical arguments against suicide. By examining how people in other times have found powerful reasons to stay alive when suicide seems a tempting choice, she makes a persuasive intellectual and moral case against suicide.

    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.

    Metaphor, the authors explain, is a fundamental mechanism of mind, one that allows us to use what we know about our physical and social experience to provide understanding of countless other subjects. Because such metaphors structure our most basic understandings of our experience, they are "metaphors we live by", metaphors that can shape our perceptions and actions without our ever noticing them.In this updated edition of Lakoff and Johnson's influential book, the authors supply an afterword surveying how their theory of metaphor has developed within the cognitive sciences to become central to the contemporary understanding of how we think and how we express our thoughts in language.

    From Aristotle, Plato, Epicurus, Confucius, Cicero and Heraclitus in ancient times to 17th century rationalists Descartes, Leibniz and Spinoza, from 20th-century greats Jean-Paul Sartre, Jean Baudrillard and Simone de Beauvoir to contemporary thinkers Michael Sandel, Peter Singer and Slavoj Zizek, 50 Philosophy Classics explores key writings that have shaped the discipline and had an impact on the real world. Philosophy can no longer be confined to academia, and 50 Philosophy Classics shows how powerful it can be as a tool for opening our minds and helping us think. Whether you are fascinated or daunted by the big questions of how to think, how to be, how to act and how to see, this is the perfect introduction to some of humanity's greatest minds and their landmark books.

    The Fourth Edition of volumes 1 and 2 is concerned with mechanics and E&M/Optics. New features include: expanded coverage of classic physics topics, substantial increases in the number of in-text examples which reinforce text exposition, the latest pedagogical and technical advances in the field, numerical analysis, computer-generated graphics, computer projects and much more.