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 Theoretic Arithmetic of the Pythagoreans written by Thomas Taylor and published by . This book was released on 2024-02-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2024 Reprint of the 1934 Edition. Full facsimile of the original edition and not reproduced with Optical Recognition software. The is the first edition thus of Thomas Taylor's remarkable treatise on the Pythagorean's philosophy of numbers - with an added Introduction by Manly P. Hall. THOMAS TAYLOR, the author of this remarkable treatise on the philosophy of numbers, was one of the greatest Platonist of the modern world. He was a prodigy of erudition and industry. He translated into English the complete works of Plato and Aristotle and authored several original treatises as well. The Theoretic Arithmetic is the most important of his works. Throughout the book, Taylor draws on the writings of ancient Greek philosophers such as Plato and Aristotle to provide a comprehensive overview of Pythagoreanism and its influence on Western thought. This book is a valuable resource for anyone interested in the history of mathematics and philosophy, as well as those seeking to deepen their understanding of Pythagoreanism and its impact on modern thought.
Download or read book Theoretic Arithmetic in Three Books written by Thomas Taylor and published by . This book was released on 1816 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theoretic arithmetic written by Thomas Taylor and published by . This book was released on 1816 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theoretic Arithmetic of the Pythagoreans written by Thomas Taylor (the Platonist) and published by . This book was released on 1975 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theoretic Arithmetic of the Pythagoreans written by and published by . This book was released on 1934 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theoretic Arithmetic in Three Books written by Thomas Taylor and published by . This book was released on 1816 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theoretic Arithmetic written by Thomas Taylor and published by Theclassics.Us. This book was released on 2013-09 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1816 edition. Excerpt: ... CHAPTER I. Vn the manner in which the Pythagoreans philosophized about numbers. The Pythagoreans, turning from the vulgar paths, and delivering their philosophy in secret to those alone who were worthy to receive it, exhibited it to others through mathematical names. Hence they called forms, numbers, as things which are the first separated from impartible union; for the natures which are above forms, are also above separation.1 The all-perfect multitude of forms, therefore, they obscurely signified through the duad; but they indicated the first formal principles by the monad and duad, as not being numbers; and also by the first triad and tetrad, as being the first numbers, the one being odd, and the other even, from which by addition the decad is generated; for the sum of 1, 2, 3, and 4, is ten. But after numbers, in secondary and multifarious lives, intr oducing geometrical prior to physical magnitudes; these also they referred to numbers, as to formal causes and the principles of these; referring the point indeed, as being impartible to the monad, but. Forms subsist at the extremity of the intelligible triad, which triad consists of leing, life, and intellect. But being and life, with all they contain, subsist here involved in impartible union. See my Proclus on the Theology of Plato. Theor. At. L a line as the first interval to the duad and again, a superficies, as having a more abundant interval to the triad; and a solid to the tetrad. They also called, as is evident from the testimony of Aristotle, the first length the duad; for it is not simply length, but the first length, in order that by this they might signify cause. In a similar manner also, they denominated the first breadth, the triad; and the first depth the tetrad....
Download or read book A Pythagorean Introduction to Number Theory written by Ramin Takloo-Bighash and published by Springer. This book was released on 2018-11-26 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Right triangles are at the heart of this textbook’s vibrant new approach to elementary number theory. Inspired by the familiar Pythagorean theorem, the author invites the reader to ask natural arithmetic questions about right triangles, then proceeds to develop the theory needed to respond. Throughout, students are encouraged to engage with the material by posing questions, working through exercises, using technology, and learning about the broader context in which ideas developed. Progressing from the fundamentals of number theory through to Gauss sums and quadratic reciprocity, the first part of this text presents an innovative first course in elementary number theory. The advanced topics that follow, such as counting lattice points and the four squares theorem, offer a variety of options for extension, or a higher-level course; the breadth and modularity of the later material is ideal for creating a senior capstone course. Numerous exercises are included throughout, many of which are designed for SageMath. By involving students in the active process of inquiry and investigation, this textbook imbues the foundations of number theory with insights into the lively mathematical process that continues to advance the field today. Experience writing proofs is the only formal prerequisite for the book, while a background in basic real analysis will enrich the reader’s appreciation of the final chapters.
Download or read book Theoretic Arithmetic in Three Books Containing the Substance of All That Has Been Written on This Subject by Theo of Smyrna Nicomachus Iamblichus written by Anonymous and published by Theclassics.Us. This book was released on 2013-09 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1816 edition. Excerpt: ... CHAPTER IV. On the duad. TtfE duad was called by the Pythagoreans, as we learn from? Nicomachus, " audacity, matter, the cause of dissimilitude, and the interval between multitude and the monad. This alone produces equality from composition and mixture, on which account also it is equal. But it is likewise unequal, defect, and abundance, and is alone unfigured, indefinite, and infinite- It is also alone the principle and cause of the even; yet is neither evenly-even, nor unevenly-even, nor evenly-odd* But many of these things are proximate to the physical peculiarity of the duad* It is likewise the fountain of all symphony, and among the Muses is Erato. It is also harmony, patience, and a root, though not in a certain respect in energy. It is power too, the feet of Ida abounding with fountains, a summit and Phases. It is also Justice, and Isis, Nature and Rhea, the mother of Jupiter, and the fountain of distribution. It was likewise called by them Phrygia, Lydia, Dindymene, Ceres, and Eleu* sinia, Diana and Cupid, Dictynua, Aeria, Asteria, Disamos, and Esto. Also Venus, Dione, Mychaea, Cytherei, ignorance DEGREES ignobility, falsehood, difference, indistihction, strife, dissension, Fate and Death." Prior, however, to a developerftent of these appellations, it will be requisite to observe concerning the duad, that the Pythagoreans, before they evinced that multitude subsists iu intelligibles, necessarily investigated the cause of the multitude which is there, and found that among the genera of being it is difference) which subsists according to non-being; but that in causes most eminently the first, it is the indefinite duad, which, -r-v- 1 says Syrianus, Pythagoras m the Sacred Discourse calls Chaos, and which he associates with intellect; for...
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 On Pythagoreanism written by Gabriele Cornelli and published by Walter de Gruyter. This book was released on 2013-10-29 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of the conference “On Pythagoreanism”, held in Brasilia in 2011, was to bring together leading scholars from all over the world to define the status quaestionis for the ever-increasing interest and research on Pythagoreanism in the 21st century. The papers included in this volume exemplify the variety of topics and approaches now being used to understand the polyhedral image of one of the most fascinating and long-lasting intellectual phenomena in Western history. Cornelli’s paper opens the volume by charting the course of Pythagorean studies over the past two centuries. The remaining contributions range chronologically from Pythagoras and the early Pythagoreans of the archaic period (6th-5th centuries BCE) through the classical, hellenistic and late antique periods, to the eighteenth century. Thematically they treat the connections of Pythagoreanism with Orphism and religion, with mathematics, metaphysics and epistemology and with politics and the Pythagorean way of life.
Download or read book Pythagoras Revived written by Dominic J. O'Meara and published by Oxford University Press. This book was released on 1989 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pythagorean idea that number is the key to understanding reality inspired Neoplatonist philosophers in the fourth and fifth centuries to develop theories in physics and metaphysics based on mathematical models. The theories produced by this revived interest in Pythagoreanism were to become influential in medieval and early modern philosophy, and this book makes use of some newly-discovered evidence to examine for the first time the development of those theories.
Download or read book Theoretic Arithmetic written by Thomas Taylor and published by . This book was released on 2015-10-12 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretic arithmetic, in three books: containing the substance of all that has been written on this subject by Theo of Smyrna, Nicomachus, Iamblichus, and Boetius, together with some remarkable particulars respecting perfect, amicable, and other numbers, which are not to be found in the writings of any ancient or modern mathematicians. Likewise, a specimen of the manner in which the Pythagoreans philosophized about numbers, and a development of their mystical and theological arithmetic.
Download or read book A History of Pythagoreanism written by Carl A. Huffman and published by Cambridge University Press. This book was released on 2014-04-24 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive, authoritative and innovative account of Pythagoras and Pythagoreanism, one of the most enigmatic and influential philosophies in the West. In twenty-one chapters covering a timespan from the sixth century BC to the seventeenth century AD, leading scholars construct a number of different images of Pythagoras and his community, assessing current scholarship and offering new answers to central problems. Chapters are devoted to the early Pythagoreans, and the full breadth of Pythagorean thought is explored including politics, religion, music theory, science, mathematics and magic. Separate chapters consider Pythagoreanism in Plato, Aristotle, the Peripatetics and the later Academic tradition, while others describe Pythagoreanism in the historical tradition, in Rome and in the pseudo-Pythagorean writings. The three great lives of Pythagoras by Diogenes Laertius, Porphyry and Iamblichus are also discussed in detail, as is the significance of Pythagoras for the Middle Ages and Renaissance.
Download or read book In Search of Pythagoreanism written by Gabriele Cornelli and published by Walter de Gruyter. This book was released on 2013-04-30 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of Pythagoreanism is littered with different and incompatible interpretations, to the point that Kahn (1974) suggested that, instead of another thesis on Pythagoreanism, it would be preferable to assess traditions with the aim of producing a good historiographical presentation. This almost fourty-year-old observation by Kahn, directs the author of this book towards a fundamentally historiographical rather than philological brand of work, that is, one neither exclusively devoted to the exegesis of sources such as Philolaus, Archytas or even of one of the Hellenistic Lives nor even to the theoretical approach of one of the themes that received specific contributions from Pythagoreanism, such as mathematics, cosmology, politics or theories of the soul. Instead, this monograph sets out to reconstruct the way in which the tradition established Pythagoreanism’s image, facing one of the central problems that characterizes Pythagoreanism more than other ancient philosophical movements: the drastically shifting terrain of the criticism of the sources. The goal of this historiographical approach is to embrace Pythagoreanism in its entirety, through - and not in spite of - its complex articulation across more than a millennium.
Download or read book The Pythagorean Theorem written by Eli Maor and published by Princeton University Press. This book was released on 2019-11-19 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of one of the most celebrated and well-known theorems in mathematics By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Although attributed to Pythagoras, the theorem was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof—if indeed he had one—is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in its history, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.
