As the Roman Empire fights for its life and emerging Christianity fights for our souls, Hypatia is the last great voice of reason. A woman of sublime intelligence, Hypatia ranks above not only all women, but all men. Hypatia dazzled the world with her brilliance, was courted by men of every persuasion and was considered the leading philosopher and mathematician of her age ... yet her mathematics, her inventions, the very story of her life in all its epic and dramatic intensity, has gone untold. A heart-breaking love story, an heroic struggle against intolerance, a tragedy and a triumph, Hypatia walks through these pages fully realized while all around her Egypt's Alexandria, the New York City of its day, strives to remain a beacon of light in a darkening world.

    Rudhyar explains their meaning as "fields of experience". 20th anniversary publication.

    Fields Cookies... What backward messages on records are really trying to tell you... Frank Sinatra's real age... Why you can't counterfeit a lottery ticket... Barbra Streisand's blue movie... The other Boy Scout rituals... Ingmar Bergman's soap commercials... The formula for Play-Doh... and more.

    In the quantum realm, objects can be in two places at once. It's a place where time travel is not only possible, but necessary. It's a place where cause and effect can happen in reverse and observing something changes its state. From parallel universes to antimatter, quantum mechanics has revealed that when you get right down to it, the laws of nature are insane. The scientist J. B. S. Haldane once said, 'Reality is not only stranger than we imagine . . . it's stranger than we can imagine.' Never is this more true than with quantum mechanics; our best, most recent attempt to make sense of the fundamental laws of nature.Fundamental is a comprehensive beginner's guide to quantum mechanics, explaining not only the weirdness of the subject but the experiments that proved it to be true. Using a humorous and light-hearted approach, Fundamental tells the story of how the most brilliant minds in science grappled with seemingly impossible ideas and gave us everything from microchips to particle accelerators. Fundamental gives clear explanations of all the quantum phenomena known to modern science, without requiring an understanding of complex mathematics; tells the eccentric stories of the scientists who made these shattering discoveries and what they used them for; explains how quantum field theory (a topic not covered in detail by any other popular-science book) gave rise to particle physics and why the Higgs boson isn't the end of the story.

    The author brings to light recently uncovered evidence about ancient Pythagoreanism and its influence on Plato, and reconstructs thefascinating esoteric transmission of Pythagorean ideas from the Greek West down to the alchemists and magicians of Egypt, and from there into the world of Islam.

    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

    In its place he argues for a set of values based on reason, reflection, and sympathy, taking his cue from the great ethical tradition of Western philosophy.

    Influencing the Egyptians, Greeks, and much of Western thought, this work is credited to Hermes, an ancient Egyptian sage who lived around 3000 B.C. and so revered that he was granted the title "Trismegistus" meaning "Thrice-great."Providing a fascinating mystical introduction to the philosophy of ancient Egypt that has influenced and shaped our world for five millennia, The Hermetica is a book for anyone interested in this lasting civilization or in the knowledge of sacred traditions.

    Here, too, is the bold assertion that Truth is invulnerable to fashion or the passing of time. Provocative and brilliantly argued, Building a Bridge to the 18th Century illuminates a navigable path through the Information Age-a byway whose signposts, it turns out, were there all along.

    In a remarkable achievement of historical detective work that is destined to become a classic, authors Lynn Picknett and Clive Prince delve into the mysterious world of the Freemasons, the Cathars, the Knights Templar, and the occult to discover the truth behind an underground religion with roots in the first century that survives even today. Chronicling their fascinating quest for truth through time and space, the authors reveal an astonishing new view of the real motives and character of the founder of Christianity, as well as the actual historical—and revelatory—roles of John the Baptist and Mary Magdalene. Painstakingly researched and thoroughly documented, The Templar Revelation presents a secret history, preserved through the centuries but encoded in works of art and even in the great Gothic cathedrals of Europe, whose final chapter could shatter the foundation of the Christian Church.

    Admittedly, computers now play chess at the grandmaster level, but do they understand the game as we do? Can a computer eventually do everything a human mind can do? In this absorbing and frequently contentious book, Roger Penrose--eminent physicist and winner, with Stephen Hawking, of the prestigious Wolf prize--puts forward his view that there are some facets of human thinking that can never be emulated by a machine. Penrose examines what physics and mathematics can tell us about how the mind works, what they can't, and what we need to know to understand the physical processes of consciousness. He is among a growing number of physicists who think Einstein wasn't being stubborn when he said his little finger told him that quantum mechanics is incomplete, and he concludes that laws even deeper than quantum mechanics are essential for the operation of a mind. To support this contention, Penrose takes the reader on a dazzling tour that covers such topics as complex numbers, Turing machines, complexity theory, quantum mechanics, formal systems, Godel undecidability, phase spaces, Hilbert spaces, black holes, white holes, Hawking radiation, entropy, quasicrystals, the structure of the brain, and scores of other subjects. The Emperor's New Mind will appeal to anyone with a serious interest in modern physics and its relation to philosophical issues, as well as to physicists, mathematicians, philosophers and those on either side of the AI debate.

    Nancy Abrams, a philosopher of science, lawyer, and lifelong atheist, is among them. And yet, when she turned to the recovery community to face a personal struggle, she found that imagining a higher power gave her a new freedom. Intellectually, this was quite surprising.   Meanwhile her husband, famed astrophysicist Joel Primack, was helping create a new theory of the universe based on dark matter and dark energy, and Abrams was collaborating with him on two books that put the new scientific picture into a social and political context. She wondered, “Could anything actually exist in this strange new universe that is worthy of the name ‘God?’”   In A God That Could Be Real, Abrams explores a radically new way of thinking about God. She dismantles several common assumptions about God and shows why an omniscient, omnipotent God that created the universe and plans what happens is incompatible with science—but that this doesn’t preclude a God that can comfort and empower us.   Moving away from traditional arguments for God, Abrams finds something worthy of the name “God” in the new science of emergence: just as a complex ant hill emerges from the collective behavior of individually clueless ants, and just as the global economy emerges from the interactions of billions of individuals’ choices, God, she argues, is an “emergent phenomenon” that arises from the staggering complexity of humanity’s collective aspirations and is in dialogue with every individual. This God did not create the universe—it created the meaning of the universe. It’s not universal—it’s planetary. It can’t change the world, but it helps us change the world. A God that could be real, Abrams shows us, is what humanity needs to inspire us to collectively cooperate to protect our warming planet and create a long-term civilization.

    S. Lewis, John F. Kennedy and Aldous Huxley to investigate the claims of Christ.

    It resurrects from the vaults of neglect the polymath Jerome Cardano, a Milanese of the sixteenth century. Who is he? A gambler and blasphemer, inventor and chancer, plagued by demons and anxieties, astrologer to kings, emperors and popes. This stubborn and unworldly man was the son of a lawyer and a brothel keeper, but also a gifted physician and the unacknowledged discoverer of the mathematical foundations of quantum physics. That is the argument of this charming and intoxicatingly clever book, which is truly original in its style, and in the manner of the modernists embodies in its very form its theories about the world.'The Quantum Astrologer’s Handbook' is a science book with the panache of a novel, for readers of Carlo Rovelli or Umberto Eco. It is a work of and about genius.

    Inside PFTB (Proofs from The Book) is indeed a glimpse of mathematical heaven, where clever insights and beautiful ideas combine in astonishing and glorious ways. There is vast wealth within its pages, one gem after another. Some of the proofs are classics, but many are new and brilliant proofs of classical results. ...Aigner and Ziegler... write: ..". all we offer is the examples that we have selected, hoping that our readers will share our enthusiasm about brilliant ideas, clever insights and wonderful observations." I do. ... " Notices of the AMS, August 1999..". the style is clear and entertaining, the level is close to elementary ... and the proofs are brilliant. ..." LMS Newsletter, January 1999This third edition offers two new chapters, on partition identities, and on card shuffling. Three proofs of Euler's most famous infinite series appear in a separate chapter. There is also a number of other improvements, such as an exciting new way to "enumerate the rationals."