The material of this book is indispensable for anyone who wishes to understand the real spiritual roots of Western civilization.

    What did mathematicians rely on for their work before then? And how did mathematical notations evolve into what we know today? In Enlightening Symbols, popular math writer Joseph Mazur explains the fascinating history behind the development of our mathematical notation system. He shows how symbols were used initially, how one symbol replaced another over time, and how written math was conveyed before and after symbols became widely adopted.Traversing mathematical history and the foundations of numerals in different cultures, Mazur looks at how historians have disagreed over the origins of the numerical system for the past two centuries. He follows the transfigurations of algebra from a rhetorical style to a symbolic one, demonstrating that most algebra before the sixteenth century was written in prose or in verse employing the written names of numerals. Mazur also investigates the subconscious and psychological effects that mathematical symbols have had on mathematical thought, moods, meaning, communication, and comprehension. He considers how these symbols influence us (through similarity, association, identity, resemblance, and repeated imagery), how they lead to new ideas by subconscious associations, how they make connections between experience and the unknown, and how they contribute to the communication of basic mathematics.From words to abbreviations to symbols, this book shows how math evolved to the familiar forms we use today.

    story of the predecessors of Christians

    "Hopper represents the most lethal of organized religions many opponents: a curious, well-educated individual with a sharp wit." Queen's University Journal Review "Wickedly fun and informative." Toronto Star "The Heathen's Guide To World Religions has taken up permanent residence on my bookshelves... a masterfully written, wonderfully funny, and deliciously snarky trip down religious lane." Al Stefanelli, UNITED ATHEIST FRONT. "Like Monty Python in religious garb... easily one of the best places to invest your book buying dollar." Georgia Straight

    Iamblichus' biography is universally acknowledged as deriving from sources of the highest antiquity. Its classic translation by Thomas Taylor was first printed in 1818 and is once again brought to light in this edition.During Iamblichus' life, the depth and sublimity of his writing and discourse attracted a multitude of associates and disciples from all parts of the world. The Emperor Julian wrote of him, "that he was posterior indeed in time, but not in genius, to Plato," and all the Platonists who succeeded him honored him with the epithet of "divine."Iamblichus' account of the life of Pythagoras begins with the great philosopher's birth on the island of Samos, his youth, and his wide renown in Greece. It briefly covers his early travels and his studies with the philosophers Anaximander and Thales, his twenty-two years of instruction in the temples of Egypt, and his initiation into the Egyptian and Babylonian mysteries. The later life and work of Pythagoras are richly elaborated, with humorous and profound anecdotes illustrating his philosophy and providing a unique view of community life under his tutelage in Crotona.Included are excerpts from his teachings on harmonic science, dietetic medicine, friendship, temperance, politics, parenthood, the soul's former lives and many other topics. The book also contains substantial sections on the Fragments of the Ethical Writings (the work of very early Pythagoreans) and the Pythagoric Sentences.Sage of Samos, initiate of the mysteries, and transmitter of the ancient wisdom, Pythagoras was a pivotal figure in all of Western philosophy and thought. His life is as much an example for us today as it was for his students nearly twenty-five centuries ago.

    

    He is celebrated for his words of wisdom as well as the alleged miracles that he performed while he was still alive. Yet as large as his acclaim may be, Aquinas has also had his fair share of detractors both during his lifetime and long thereafter.In the twentieth century, for example, esteemed British philosopher and writer Bertrand Russel went so far in his criticism as to say that he believed that Thomas Aquinas was not a philosopher in the classical sense of the word but rather that he relied more on dogmatic Catholic faith than any sense of inquiry or inductive reasoning. There are of course those that would vehemently argue the opinions of Bertrand Russel. While it is not the purpose of this book to take one side or the other, these arguments and criticisms will be examined as we delve into the history of this great thinker.Casting all accolades and critiques aside, in this book you will find the raw bare bones of the man who Thomas Aquinas came to be. Thomas Aquinas had an exceptional life of both major accomplishments and upsetting setbacks—here, we explore them in full.

    Though most people know of him only for the famous Pythagorean Theorem (a2 +b2=c2), 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 sixth-century B.C. scholar.Born around 570 B.C. on the cultured Aegean island of Samos, Pythagoras (according to ancient tales) studied with the sage Thales nearby at Miletus, and with priests and scribes in Egypt and Babylon. Eventually he founded his own school at Croton in southern Italy, where he and his followers began to unravel the surprising deep truths concealed behind such ordinary tasks as tuning a lyre. While considering why some string lengths produced beautiful sounds and others discordant ones, they uncovered the ratios of musical harmony, and recognized that hidden behind the confusion and complexity of nature are patterns and orderly relationships. They had surprised the Creator at his drafting board and had glimpsed the mind of God! Some of them later would also find something darker in numbers and nature: irrationality, a revelation so unsettling and subversive that it may have contributed to the destruction of their brotherhood.Praised for her ability to illuminate complex subjects, Kitty Ferguson brilliantly evokes the archaic world of Pythagoras, showing how ideas spread in antiquity, chronicling the influence he and his followers have had on so many extraordinary people in the history of Western thought and science, and bringing a poignant human saga to readers who are daily reminded that harmony and chaos can and do coexist.

    To understand the universe in the far future, we must first describe its present state and structure on the grand scale, and how its present properties arose. Dr Islam explains these topics in an accessible way in the first part of the book. From this background he speculates about the future evolution of the universe and predicts the major changes that will occur. The author has largely avoided mathematical formalism and therefore the book is well suited to general readers with a modest background knowledge of physics and astronomy.

    This is the paperback edition of Shah's companion volume to the The Commanding Self, wherein he sets out to illuminate the barriers which prevent deeper knowledge and understanding.

    Rare Book

    Accounts of those psychedelic experiences, along with his interest in Eastern mystical religions, accompany the moving story of Aldous Huxley's later years with his wife, Laura. Huxley's fascination with the spiritual world remained with him throughout his life and never wavered through his final illness in 1963. THIS TIMELESS MOMENT takes the reader into the lively mind of one of the most profound thinkers of any generation.

    It also shows how enlightenment is earned by personal dedication to a spiritual code of conduct.

    This book considers many of those ideas and presents a new solution why three is the magic number.

    As we enter the year 2000, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematicsas we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean? Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, and then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. Kaplan shows us just how handicapped our ancestors were in trying to figurelarge sums without the aid of the zero. (Try multiplying CLXIV by XXIV). Remarkably, even the Greeks, mathematically brilliant as they were, didn't have a zero--or did they? We follow the trail to the East where, a millennium or two ago, Indian mathematicians took another crucial step. By treatingzero for the first time like any other number, instead of a unique symbol, they allowed huge new leaps forward in computation, and also in our understanding of how mathematics itself works. In the Middle Ages, this mathematical knowledge swept across western Europe via Arab traders. At first it was called dangerous Saracen magic and considered the Devil's work, but it wasn't long before merchants and bankers saw how handy this magic was, and used it to develop tools likedouble-entry bookkeeping. Zero quickly became an essential part of increasingly sophisticated equations, and with the invention of calculus, one could say it was a linchpin of the scientific revolution. And now even deeper layers of this thing that is nothing are coming to light: our computers speakonly in zeros and ones, and modern mathematics shows that zero alone can be made to generate everything.Robert Kaplan serves up all this history with immense zest and humor; his writing is full of anecdotes and asides, and quotations from Shakespeare to Wallace Stevens extend the book's context far beyond the scope of scientific specialists. For Kaplan, the history of zero is a lens for looking notonly into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. Thebeauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture. A tour de force of science history, The Nothing That Is takes us through the hollow circle that leads to infinity.