Enlightening Symbols

An entertaining look at the origins of mathematical symbols While all of us regularly use basic math symbols such as those for plus, minus, and equals, few of us know that many of these symbols weren't available before the sixteenth century. 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.

Today, algorithms exercise outsize influence on cultural decision-making, shaping and even reshaping the concept of culture. How were automated, computational processes empowered to perform this work? What forces prompted the emergence of algorithmic culture? Algorithmic Culture Before the Internet is a history of how culture and computation came to be entangled. From Cambridge, England, to Cambridge, Massachusetts, by way of medieval Baghdad, this book pinpoints the critical junctures at which algorithmic culture began to coalesce in language long before it materialized in the technological wizardry of Silicon Valley. Revising and extending the methodology of “keywords,” Ted Striphas examines changing concepts and definitions of culture, including the development of the field of cultural studies, and stresses the importance of language in the history of technology. Offering historical and interdisciplinary perspective on the relationship of culture and computation, this book provides urgently needed context for the algorithmic injustices that beset the world today.

Based on the author's previous publication The Encyclopedia of Tibetan Symbols and Motifs, this handbook contains an array of symbols and motifs, accompanied by succinct explanations. It provides treatment of the essential Tibetan religious figures, themes and motifs, both secular and religious.

Known in Chinese as Hua-yen and in Japanese as Kegon-kyo, the Avatamsaka Sutra, or Flower Ornament Scripture, is held in the highest regard and studied by Buddhists of all traditions. Through its structure and symbolism, as well as through its concisely stated principles, it conveys a vast range of Buddhist teachings. This one-volume edition contains Thomas Cleary's definitive translation of all thirty-nine books of the sutra, along with an introduction, a glossary, and Cleary's translation of Li Tongxuan's seventh-century guide to the final book, the Gandavyuha, "Entry into the Realm of Reality."

Recent scholarly and popular attempts to define the Enlightenment, account for its diversity, and evaluate its historical significance suffer from a surprising lack of consensus at a time when the social and political challenges of today cry out for a more comprehensive and serviceable understanding of its importance. This book argues that regnant notions of the Enlightenment, the Radical Enlightenment, and the multitude of regional and religious enlightenments proposed by scholars all share an entangled intellectual genealogy rooted in a broader revolutionary "culture of enlightening" that took shape over the long-arc of intellectual history from the waning of the sixteenth-century Reformations to the dawn of the Atlantic Revolutionary era. Generated in competition for a changing readership and forged in dialog and conflict, dynamic and diverse notions of what it meant to be enlightened constituted a broader culture of enlightening from which the more familiar strains of the Enlightenment emerged, often ironically and accidentally, from originally religious impulses and theological questioning. By adapting, for the first time, methodological insights from the scholarship of historical entanglement (l'histoire croisée) to the study of the Enlightenment, this book provides a new interpretation of the European republic of letters from the late 1600s through the 1700s by focusing on the lived experience of the long-neglected Catholic theologian, historian, and contributor to Diderot's Encyclopédie, Abbé Claude Yvon. The ambivalent historical memory of Yvon, as well as the eclectic and global array of his sources and endeavors, Burson argues, can serve as a gauge for evaluating historical transformations in the surprisingly diverse ways in which eighteenth-century individuals spoke about enlightening human reason, religion, and society. Ultimately, Burson provocatively claims that even the most radical fruits of the Enlightenment can be understood as the unintended offspring of a revolution in theology and the cultural history of religious experience.

Introduces the reader to the main ideas of mathematics, and painlessly demonstrates how they are expressed in symbols while helping to overcome the fear of math and begin to appreciate the science that Einstein called the poetry of logical ideas.

My search for meaning uncovered a secret brain program in charge of moral development. A roadmap to enlightenment comes through the unique language of symbolism that has long been forsaken. This foreign tongue reveals the nature of divinity and truth of existence. It shows us who we really are, not who we think we are. A metaphoric component silently transforms a base consciousness to all-knowing awareness by converting power to love. Success in transforming an animal species to human status comes by attaching an integrated brain to a compassionate heart. Otherwise, life gets nasty as evidenced in bias, prejudice, bigotry, and profiling. Projections of how we feel about ourselves translate into how we treat others. Awakening to reality, after a long slumber in fantasy, is essential to raise our level of consciousness and our degree of self-awareness. A higher mental state is under construction. It needs our help to end the destruction and suffering our blindness causes. Blindness will be lifted by an involuntary change in vision.