This book describes the motivations behind external history, the growth of religious striving, the rise and fall of cultures, and indicates their importance for us today. It reflects the lives and deeds of human beings of extraordinary stature: Rama, Krishna, Hermes, Moses, Orpheus, Pythagoras, Plato, and Jesus.In these pages one witnesses spiritual adventure of a depth and intensity rarely experienced by creative human beings, even in their most exalted moments. This excitement of discovery which breathes through The Great Initiates may well explain its continuing popularity after over a century.

    With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    A child prodigy, Pascal made essential additions to Descartes's work at age sixteen. By age nineteen, he had invented the world's first mechanical calculator. But despite his immense contributions to modern science and mathematical thinking, it is Pascal's wager with God that set him apart from his peers as a man fully engaged with both religious and scientific pursuits.One night in 1654, Pascal had a visit from God, a mystical experience that changed his life. Struggling to explain God's existence to others, Pascal dared to apply his mathematical work to religious faith, playing dice with divinity: he argued for the existence of God, basing his position not on rigorous logical principles as did Aquinas or Anselm of Canterbury, but on outcomes—his famous wager. By applying to the existence of God the same rules that governed the existence and position of the universe itself, Pascal sounded the death knell for medieval "certainties" and paved the way for modern thinking.

    In The Sion Revelation, Picknett and Prince reveal the story of the Priory, taking readers on a highly significant, disturbing, and even alarming ride through history into an intriguing world where a great many uncomfortable facts will have to be faced, both religious and political. Drawing on a wealth of astonishing evidence, they answer numerous questions that shroud this society, including: • Does the Priory actually exist or is the group's entire history an elaborate hoax? • Was Leonardo da Vinci really one of the Priory's Grand Masters? • What is the truth behind Pierre Plantard, the enigmatic French aristocrat who claimed to be a Priory Grand Master -- and who some claim was a Nazi sympathizer? • Could the Priory be a front for other occult societies in Europe with religious or even political agendas? By carefully untangling centuries of obfuscation, rumor, and documented fact, The Sion Revelation unravels the great intricacies of this secret society and takes us on a historical journey that is as groundbreaking in its explanation as it is riveting in its telling.

    Good stories are full of life: they engage our emotions and have subtlety and nuance, but they lack rigor and the truths they tell are elusive and subject to debate. As ways of understanding the world around us, numbers and stories seem almost completely incompatible. Once Upon a Number shows that stories and numbers aren't as different as you might imagine, and in fact they have surprising and fascinating connections. The concepts of logic and probability both grew out of intuitive ideas about how certain situations would play out. Now, logicians are inventing ways to deal with real world situations by mathematical means -- by acknowledging, for instance, that items that are mathematically interchangeable may not be interchangeable in a story. And complexity theory looks at both number strings and narrative strings in remarkably similar terms. Throughout, renowned author John Paulos mixes numbers and narratives in his own delightful style. Along with lucid accounts of cutting-edge information theory we get hilarious anecdotes and jokes; instructions for running a truly impressive pyramid scam; a freewheeling conversation between Groucho Marx and Bertrand Russell (while they're stuck in an elevator together); explanations of why the statistical evidence against OJ Simpson was overwhelming beyond doubt and how the Unabomber's thinking shows signs of mathematical training; and dozens of other treats. This is another winner from America's favorite mathematician.

    Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems.This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.656About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.

    Its accessible writing style appeals to students and instructors because of its brevity, simplicity of presentation, selective choice of content, and clear explanations.Comparative timelines appear at the end of each text part to show the relationship between the political and intellectual history of the West. A full-color map with an essay on physical geography appears at the beginning of each volume to help students orient themselves to European geography. Primary source excerpts integrated throughout the narrative show students the materials that historians work with every day.

    In this text, Alister McGrath utilises the successful historic chapters from Christian Theology: An Introduction, Second Edition and builds on them to provide all the material that students will need to understand the development of Christian theology from its beginnings.

    The reader will gain a better understanding of Old Testament prophets and prophetic literature.

    A basic idea that proved elusive for hundreds of years and bent the minds of the greatest thinkers in the world, the algorithm is what made the modern world possible. Without the algorithm, there would have been no computer, no Internet, no virtual reality, no e-mail, or any other technological advance that we rely on every day.In The Advent of the Algorithm, David Berlinski combines science, history, and math to explain and explore the intriguing story of how the algorithm was finally discovered by a succession of mathematicians and logicians, and how this paved the way for the digital age. Beginning with Leibniz and culminating in the middle of the twentieth century with the groundbreaking work of Gödel and Turing, The Advent of the Algorithm is an epic tale told with clarity and imaginative brilliance.

    Tragedy permits us to come face to face with what we do not know about ourselves but that which makes those selves who we are. Having Been Born is a compelling examination of ancient Greek origins in the development and history of tragedy--a story that represents what we thought we knew about the poets, dramatists, and philosophers of ancient Greece--and shows them to us in an unfamiliar, unexpected, and original light.

    When the mind has understood all things and found them to be in harmony with what has been expounded by the teachings, it is faithful and comes to rest in that beautiful faith.”Hermes to AsclepiusThe Corpus Hermeticum, a powerful fusion of Greek and Egyptian thought, is one of the cornerstones of the Western esoteric tradition. A collection of short philosophical treatises, it was written in Greek between the first and third centuries A.D. and translated into Latin during the Renaissance by the great scholar and philosopher Marsilio Ficino. These writings, believed to be the writings of Hermes Trismegistus, were central to the spiritual work of Hermetic societies in Late Antique Alexandria (200-700 A.D.), and aimed to awaken gnosis, the direct realization of the unity of the individual and the Supreme.In addition to this new translation of The Corpus Hermeticum, which seeks to reflect the inspirational intent of the original, The Way of Hermes includes the first English translation of the recently rediscovered manuscript of The Definitions of Hermes Trismegistus to Asclepius, a collection of aphorisms used by the hermetic student to strengthen the mind during meditation. With the proper mental orientation,a state of pure perception can be achieved in which the true face of God appears. This document is of enormous value to the contemporary student of gnostic studies for its insights into the actual workings of this spiritual path.Clement Salaman is the editor of the English translation of The Letters of Marsilio Ficino. Dorine Van Oyen is a lecturer on Hermetic studies in Amsterdam. William D. Wharton teaches Classical history, languages, and philosophy in Boston. Jean-Pierre Mahe is Correspondent of the Académie des Inscriptions et Belles Lettres, Paris.

    They were wizards, storytellers, teachers and spiritual leaders. They were attuned to the Earth and the Sun. And they were very powerful.Druid Magick presents everything you need to know to become a Druid and even start your own Druid "Grove" (the name of a Druid group). Learn about the Druid's tools--the sickle, wand, cord, and more--and how to make and use them. Discover all of the beliefs the Druids hold, including the emphasis on honor and ethics.And, of course, you'll learn the secrets of the magic of the Druids.Protection spells How to use magic to find missing items Learn to visit other "worlds" (levels of reality) Shapeshifting And more! Druidry is far more than historic Celtic leadership. It is a living, growing, spiritual tradition that can bring you more self-assurance and self-development than you've before ever had.Winner of the 2001 Coalition of Visionary Resources (COVR) Award for best Magic Book

    Newly translated into spare, vigorous English, and situated within a connective narrative framework, Woodruff’s selections will be of special interest to instructors in political theory and Greek civilization. Includes maps, notes, glossary.

    'Astrology must be right,' wrote the American astrologer Evangeline Adams, claimed descendant of John Quincy Adams, in a challenge to skeptics in 1929. 'There can be no appeal from the Infinite.' The Fated Sky explores both the history of astrology & the controversial subject of its historical influence. It's the 1st serious book to fully engage astrology in this way. Astrology is the oldest occult sciences, also the origin of science itself. Astronomy, mathematics & other disciplines arose in part to make possible the calculations necessary in casting horoscopes. For 5000 years, the influence of the stars has been viewed as shaping the course of affairs. According to recent polls, at least 30% of Americans believe in it, tho modern astrology is utterly different from the doctrine of the stars that won the respect & allegiance of the greatest thinkers, scientists & writers--Greek, Roman, Egyptian, Arab & Persian--of earlier days. Statesmen, popes & kings once embraced it. Th Aquinas found it compatible with Xian faith. There are some 200 allusions to it in Shakespeare's plays, all their predictions fulfilled. The great astronomers of the scientific revolution--Copernicus, Tycho Brahe, Kepler--were adherents. Newton's appetite for mathematics was whetted by an astrological text. Prominent figures such as Churchill, deGaulle & Reagan have consulted astrologers, heeding their advice. Universities as diverse as Oxford & Spain's Univ. of Zaragoza offer courses in the subject, fulfilling Jung's prediction that astrology would again become the subject of serious discourse. Whether astrology actually has the powers ascribed to it is open to debate. But there's no doubt that it maintains a hold on the human mind. The Fated Sky gives a comprehensive account of this subject & its enduring influence on history & the history of ideas.