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Brill's Companion to the Reception of Pythagoras and Pythagoreanism in the Middle Ages and the Renaissance
A wide range of specialists provide a comprehensive overview of the reception of Pythagorean ideas in the Middle Ages and the Renaissance, shedding new light especially on the understudied ‘Medieval Pythagoras’ of the Latin West. They also explore the survival of Pythagoreanism in the Arabic, Jewish, and Persian cultures, thus adopting a multicultural perspective. Their common concern is to detect the sources of this reception, and to follow their circulation in diverse linguistic areas. The reader can thus have a panoramic view of the major themes belonging to the Pythagorean heritage – number philosophy and the sciences of the quadrivium; ethics and way of life; theology, metaphysics and the soul – until the Early Modern times.
Mathematics and the Divine
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. Majo...
Mathematical Theologies
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 w...
Measuring Heaven
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 influenc...
Brill’s Companion to the Reception of Plato in Antiquity
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.
The Shaping of Deduction in Greek Mathematics
The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.
Horns, Strings, and Harmony
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.
