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 Collected Papers 1962 1999 written by Tarán and published by BRILL. This book was released on 2021-08-04 with total page 733 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists in a reprint of papers dealing mostly with Grecoroman philosophy, ranging from the 5th century BC to the 6th century AD, and concerned mainly with the Presocratics, Plato, Aristotle, the Early Academy, the Platonic and Aristotelian later traditions.
Download or read book Descartes s Mathematical Thought written by C. Sasaki and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
Download or read book Sextus Empiricus Against the Arithmeticians written by Lorenzo Corti and published by BRILL. This book was released on 2023-12-21 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic deals with numbers: but what is the nature of their existence, of their parts, and of their relationship with countable items? These questions nourished a lively debate between the Platonico-Pythagorean tradition (trying to answer them) and the Pyrrhonian tradition (trying to show that these answers were unsatisfactory). The debate lies at the heart of Sextus Empiricus’ Against the Arithmeticians. The present book aims at facing the remarkable historical and philosophical questions raised by Sextus’ treatise by offering a new translation of it and the first dedicated commentary to it.
Download or read book Mathematical Commentaries in the Ancient World written by Karine Chemla and published by Cambridge University Press. This book was released on 2022-06-09 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comparative analysis of the techniques and procedures of important mathematical commentaries in five ancient cultures from China to Greece.
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 Aristotle and His Commentators written by Pantelis Golitsis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-01-29 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes twelve studies by international specialists on Aristotle and his commentators. Among the topics treated are Aristotle’s political philosophy and metaphysics, the ancient and Byzantine commentators’ scholia on Aristotle’s logic, philosophy of language and psychology as well as studies of broader scope on developmentalism in ancient philosophy and the importance of studying Late Antiquity.
Download or read book Sergius of Reshaina Introduction to Aristotle and his Categories Addressed to Philotheos written by Sami Aydin and published by BRILL. This book was released on 2016-08-29 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physician and commentator Sergius of Reshaina (d. 536) composed two related texts in Syriac about the philosophy of Aristotle, chiefly dealing with themes discussed by Aristotle in his Categories, but also with his teaching on space as found in the Physics. This book presents a critical edition and English translation of the shorter of these texts. A survey of Sergius’ life and works is given in the introduction and the intellectual context of his education in Alexandria is outlined, with focus on the medical and philosophical curricula of the Alexandrian school. Sergius’ line of thought is clarified and his text is compared to Greek commentaries on the Categories that also present the teaching of his Neoplatonist master Ammonius Hermeiou.
Download or read book Computations and Computing Devices in Mathematics Education Before the Advent of Electronic Calculators written by Alexei Volkov and published by Springer. This book was released on 2019-01-11 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume traces back the history of interaction between the “computational” or “algorithmic” aspects of elementary mathematics and mathematics education throughout ages. More specifically, the examples of mathematical practices analyzed by the historians of mathematics and mathematics education who authored the chapters in the present collection show that the development (and, in some cases, decline) of counting devices and related computational practices needs to be considered within a particular context to which they arguably belonged, namely, the context of mathematics instruction; in their contributions the authors also explore the role that the instruments played in formation of didactical approaches in various mathematical traditions, stretching from Ancient Mesopotamia to the 20th century Europe and North America.
Download or read book The Classical Commentary written by Gibson and published by BRILL. This book was released on 2017-07-31 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection explores the issues raised by the writing and reading of commentaries on classical Greek and Latin texts. Written primarily by practising commentators, the papers examine philosophical, narratological, and historiographical commentaries; ancient, Byzantine, and Renaissance commentary practice and theory, with special emphasis on Galen, Tzetzes, and La Cerda; the relationship between the author of the primary text, the commentary writer, and the reader; special problems posed by fragmentary and spurious texts; the role and scope of citation, selectivity, lemmatization, and revision; the practical future of commentary-writing and publication; and the way computers are changing the shape of the classical commentary. With a genesis in discussion panels mounted in the UK in 1996 and the US in 1997, the volume continues recent international dialogue on the genre and future of commentaries.
Download or read book Archytas of Tarentum written by Carl Huffman and published by Cambridge University Press. This book was released on 2005-05-23 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Archytas of Tarentum is one of the three most important philosophers in the Pythagorean tradition, a prominent mathematician, who gave the first solution to the famous problem of doubling the cube, an important music theorist, and the leader of a powerful Greek city-state. He is famous for sending a trireme to rescue Plato from the clutches of the tyrant of Syracuse, Dionysius II, in 361 BC. This 2005 study was the first extensive enquiry into Archytas' work in any language. It contains original texts, English translations and a commentary for all the fragments of his writings and for all testimonia concerning his life and work. In addition there are introductory essays on Archytas' life and writings, his philosophy, and the question of authenticity. Carl A. Huffman presents an interpretation of Archytas' significance both for the Pythagorean tradition and also for fourth-century Greek thought, including the philosophies of Plato and Aristotle.
Download or read book Aufstieg und Niedergang der r mischen Welt Principat v written by Hildegard Temporini and published by . This book was released on 1972 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ancient Greek Scholarship A Guide to Finding Reading and Understanding Scholia Commentaries Lexica and Grammatical Treatises written by Eleanor Dickey and published by Oxford University Press. This book was released on 2007-04-05 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Download or read book Iamblichus On the General Science of Mathematics written by John Dillon and published by Bloomsbury Publishing. This book was released on 2020-06-11 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the General Science of Mathematics is the third of four surviving works out of ten by Iamblichus (c. 245 CE–early 320s) on the Pythagoreans. He thought the Pythagoreans had treated mathematics as essential for drawing the human soul upwards to higher realms described by Plato, and downwards to understand the physical cosmos, the products of arts and crafts and the order required for an ethical life. His Pythagorean treatises use edited quotation to re-tell the history of philosophy, presenting Plato and Aristotle as passing on the ideas invented by Pythagoras and his early followers. Although his quotations tend to come instead from Plato and later Pythagoreanising Platonists, this re-interpretation had a huge impact on the Neoplatonist commentators in Athens. Iamblichus' cleverness, if not to the same extent his re-interpretation, was appreciated by the commentators in Alexandria.
Download or read book The Structure of Proteins as Revealed by X ray Analysis a Contribution of Physics to Biology written by and published by DIANE Publishing. This book was released on with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Thornton and Tully s Scientific Books Libraries and Collectors written by Andrew Hunter and published by Routledge. This book was released on 2016-12-05 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 25 years since the last edition of Thornton and Tully’s Scientific Books, Libraries and Collectors was published, scientific publishing has mushroomed, developed new forms, and the academic discipline and popular appreciation of the history of science have grown apace. This fourth edition discusses these changes and ponders the implications of developments in publishing at the end of the twentieth century, while concentrating its gaze upon the dissemination of scientific ideas and knowledge from Antiquity to the industrial age. In this shift of focus it departs from previous editions, and for the first time a chapter on Islamic science is included. Recurrent themes in several of the ten essays in the present volume are the definition of ’science’ itself, and its transmutation by publishing media and the social context. Two essays on the collecting of scientific books provide a counterpoint, and the book is grounded on a rigorous chapter on bibliographies. The timely publication of Scientific Books, Libraries and Collectors comes at the coincidence of the advent of electronic publishing and the millennium, a dramatic moment at which to take stock.
Download or read book The Cambridge History of Philosophy in Late Antiquity written by Lloyd P. Gerson and published by Cambridge University Press. This book was released on 2015-12-10 with total page 1584 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Cambridge History of Philosophy in Late Antiquity comprises over forty specially commissioned essays by experts on the philosophy of the period 200–800 CE. Designed as a successor to The Cambridge History of Later Greek and Early Medieval Philosophy (edited by A. H. Armstrong), it takes into account some forty years of scholarship since the publication of that volume. The contributors examine philosophy as it entered literature, science and religion, and offer new and extensive assessments of philosophers who until recently have been mostly ignored. The volume also includes a complete digest of all philosophical works known to have been written during this period. It will be an invaluable resource for all those interested in this rich and still emerging field.
