Download or read book Introduction to Arithmetic written by Nicomachus Gerasenus and published by . This book was released on 1926 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Brill s Companion to the Reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance written by Irene Caiazzo and published by BRILL. This book was released on 2021-11-22 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time, the reader can have a synoptic view of the reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance, East and West, in a multicultural perspective. All the major themes of Pythagoreanism are addressed, from mathematics, number philosophy and metaphysics to ethics and religious thought.
Download or read book The Theology of Arithmetic written by Iamblichus and published by Red Wheel/Weiser. This book was released on 1988-01-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Attributed to Iamblichus (4th cent. AD), The Theology of Arithmetic is about the mystical, mathmatical and cosmological symbolism of the first ten numbers. Its is the longest work on number symbolism to survive from the ancient world, and Robin Waterfield's careful translation contains helpful footnotes, an extensive glossary, bibliography, and foreword by Keith Critchlow. Never before translated from ancient Greek, this important sourcework is indispensable for anyone intereted in Pythagorean though, Neoplatonism, or the symbolism of Numbers.
Download or read book Nicomachus of Gerasa Introduction to Arithmetic written by Nicomachus (Gerasenus.) and published by . This book was released on 1926 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Works of Archimedes written by Archimedes and published by . This book was released on 1897 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Theologies written by David Albertson and published by . This book was released on 2014 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: The writings of theologians Thierry of Chartres (d. 1157) and Nicholas of Cusa (d. 1464) represent a lost history of momentous encounters between Christianity and Pythagorean ideas before the Renaissance. Their robust Christian Neopythagoreanism reconceived the Trinity and the Incarnation within the framework of Greek number theory, challenging our contemporary assumptions about the relation of religion and modern science. David Albertson surveys the slow formation of theologies of the divine One from the Old Academy through ancient Neoplatonism into the Middle Ages. Against this backdrop, Thierry of Chartres's writings stand out as the first authentic retrieval of Neopythagoreanism within western Christianity. By reading Boethius and Augustine against the grain, Thierry reactivated a suppressed potential in ancient Christian traditions that harmonized the divine Word with notions of divine Number. Despite achieving fame during his lifetime, Thierry's ideas remained well outside the medieval mainstream. Three centuries later Nicholas of Cusa rediscovered anonymous fragments of Thierry and his medieval readers, and drew on them liberally in his early works. Yet tensions among this collection of sources forced Cusanus to reconcile their competing understandings of Word and Number. Over several decades Nicholas eventually learned how to articulate traditional Christian doctrines within a fully mathematized cosmology-anticipating the situation of modern Christian thought after the seventeenth century. Mathematical Theologies skillfully guides readers through the newest scholarship on Pythagoreanism, the school of Chartres, and Cusanus, while revising some of the categories that have separated those fields in the past.
Download or read book The Theoretic Arithmetic of the Pythagoreans written by Thomas Taylor and published by Health Research Books. This book was released on 2006-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Measuring Heaven written by Christiane L. Joost-Gaugier and published by Cornell University Press. This book was released on 2018-09-05 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surviving fragments of information about Pythagoras (born ca. 570 BCE) gave rise to a growing set of legends about this famous sage and his followers, whose reputations throughout Antiquity and the Middle Ages have never before been studied systematically. This book is the first to examine the unified concepts of harmony, proportion, form, and order that were attributed to Pythagoras in the millennium after his death and the important developments to which they led in art, architecture, mathematics, astronomy, music, medicine, morals, religion, law, alchemy, and the occult sciences. In this profusely illustrated book, Christiane L. Joost-Gaugier sets out the panorama of Pythagoras's influence and that of Christian and Jewish thinkers who followed his ideas in the Greek, Roman, early Christian, and medieval worlds. In illuminating this tradition of thought, Joost-Gaugier shows how the influence of Pythagoreanism was far broader than is usually realized, and that it affected the development of ancient and medieval art and architecture from Greek and Roman temples to Gothic cathedrals.Joost-Gaugier demonstrates that Pythagoreanism—centered on the dim memory of a single person that endured for centuries and grew ever-greater—inspired a new language for artists and architects, enabling them to be "modern."
Download or read book Mathematics and the Divine written by T. Koetsier and published by Elsevier Science Limited. This book was released on 2004 with total page 701 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics and the Divine seem to correspond to diametrically opposed tendencies of the human mind. Does the mathematician not seek what is precisely defined, and do the objects intended by the mystic and the theologian not lie beyond definition? Is mathematics not Man's search for a measure, and isn't the Divine that which is immeasurable ? The present book shows that the domains of mathematics and the Divine, which may seem so radically separated, have throughout history and across cultures, proved to be intimately related. Religious activities such as the building of temples, the telling of ritual stories or the drawing of enigmatic figures all display distinct mathematical features. Major philosophical systems dealing with the Absolute and theological speculations focussing on our knowledge of the Ultimate have been based on or inspired by mathematics. A series of chapters by an international team of experts highlighting key figures, schools and trains of thought is presented here. Chinese number mysticism, the views of Pythagoras and Plato and their followers, Nicholas of Cusa's theological geometry, Spinozism and intuitionism as a philosophy of mathematics are treated side by side among many other themes in an attempt at creating a global view on the relation of mathematics and Man's quest for the Absolute in the course of history. � Mathematics and man's quest for the Absolute � A selective history highlighting key figures, schools and trains of thought � An international team of historians presenting specific new findings as well as general overviews � Confronting and uniting otherwise compartmentalized information
Download or read book Brill s Companion to the Reception of Plato in Antiquity written by Harold Tarrant and published by BRILL. This book was released on 2018-04-03 with total page 679 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brill’s Companion to the Reception of Plato in Antiquity offers a comprehensive account of the ways in which ancient readers responded to Plato, as philosopher, as author, and more generally as a central figure in the intellectual heritage of Classical Greece, from his death in the fourth century BCE until the Platonist and Aristotelian commentators in the sixth century CE. The volume is divided into three sections: ‘Early Developments in Reception’ (four chapters); ‘Early Imperial Reception’ (nine chapters); and ‘Early Christianity and Late Antique Platonism’ (eighteen chapters). Sectional introductions cover matters of importance that could not easily be covered in dedicated chapters. The book demonstrates the great variety of approaches to and interpretations of Plato among even his most dedicated ancient readers, offering some salutary lessons for his modern readers too.
Download or read book The Analytic Art written by François Viète and published by Courier Corporation. This book was released on 2006-01-01 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic work consists of several treatises that developed the first consistent, coherent, and systematic conception of algebraic equations. Originally published in 1591, it pioneered the notion of using symbols of one kind (vowels) for unknowns and of another kind (consonants) for known quantities, thus streamlining the solution of equations. Francois Viète (1540-1603), a lawyer at the court of King Henry II in Tours and Paris, wrote several treatises that are known collectively as The Analytic Art. His novel approach to the study of algebra developed the earliest articulated theory of equations, allowing not only flexibility and generality in solving linear and quadratic equations, but also something completely new—a clear analysis of the relationship between the forms of the solutions and the values of the coefficients of the original equation. Viète regarded his contribution as developing a "systematic way of thinking" leading to general solutions, rather than just a "bag of tricks" to solve specific problems. These essays demonstrate his method of applying his own ideas to existing usage in ways that led to clear formulation and solution of equations.
Download or read book Nichomachus of Gerasa Manual of Harmonics written by Nicomachus Gerasenus and published by . This book was released on 1967 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Arithmetic written by Nicomachus (of Gerasa.) and published by . This book was released on 1926 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Prolegomena written by Jaap Mansfeld and published by BRILL. This book was released on 1994 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study of the practices and principles of a wide range of ancient scholars dealing with philosophical, scientific, biblical and other authors is an important contribution to the understanding of the philosophical, literary, medical and patristic exegetical traditions in Antiquity.
Download or read book Greek Reflections on the Nature of Music written by Flora R. Levin and published by Cambridge University Press. This book was released on 2009-04-27 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Flora Levin explores how and why music was so important to the ancient Greeks. She examines the distinctions that they drew between the theory of music as an art ruled by number and the theory wherein number is held to be ruled by the art of music. These perspectives generated more expansive theories, particularly the idea that the cosmos is a mirror-image of music's structural elements and, conversely, that music by virtue of its cosmic elements - time, motion, and the continuum - is itself a mirror-image of the cosmos. These opposing perspectives gave rise to two opposing schools of thought, the Pythagorean and the Aristoxenian. Levin argues that the clash between these two schools could never be reconciled because the inherent conflict arises from two different worlds of mathematics. Her book shows how the Greeks' appreciation of the profundity of music's interconnections with philosophy, mathematics, and logic led to groundbreaking intellectual achievements that no civilization has ever matched.
Download or read book The Manual of Harmonics of Nicomachus the Pythagorean written by Nicomachus (of Gerasa.) and published by Red Wheel/Weiser. This book was released on 1994-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: In ancient Greek thought, the musical scale discovered by the philosopher Pythagoras was seen as a utopian model of the harmonic order behind the structure of the cosmos and human existence. Through proportion and harmony, the musical scale bridges the gap between two extremes. It encapsulates the most fundamental pattern of harmonic symmetry and demonstrates how the phenomena of nature are inseparably related to one another through the principle of reciprocity. Because of these relationships embodied in its structure, the musical scale was seen as an ideal metaphor of human society by Plato and other Pythagorean thinkers, for it is based on the cosmic principles of harmony, reciprocity, and proportion, whereby each part of the whole receives its just and proper share. This book is the first ever complete translation of The Manual of Harmonics by the Pythagorean philosopher Nicomachus of Gerasa (second century A.D.) published with a comprehensive, chapter-by-chapter commentary. It is a concise and well-organized introduction to the study of harmonics, the universal principles of relation embodied in the musical scale. Also included is a remarkable chapter-by-chapter commentary by the translator, Flora Levin, which makes this work easily accessible to the reader today. Dr. Levin explains the principles of Pythagorean harmony, provides extensive background information, and helps to situate Nicomachus' thought in the history of ideas. This important work constitutes a valuable resource for all students of ancient philosophy, Western cosmology, and the history of music.
Download or read book Horns Strings and Harmony written by Arthur H. Benade and published by Courier Corporation. This book was released on 2014-05-05 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Engaging, accessible introduction to structure and sound-making capacities of piano, violin, trumpet, bugle, oboe, flute, saxophone, many other instruments. Also, how to build your own trumpet, flute, clarinet. Includes 76 illustrations. Bibliography.
