Iamblichus: On the General Science of Mathematics PDF Download
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Author: John Dillon
Publisher: Bloomsbury Publishing
ISBN: 1350127671
Category : Mathematics
Languages : en
Pages : 177
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Book Description
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.
Author: John Dillon
Publisher: Bloomsbury Publishing
ISBN: 1350127671
Category : Mathematics
Languages : en
Pages : 177
Get Book Here
Book Description
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.
Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 069125768X
Category : Mathematics
Languages : en
Pages : 721
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Book Description
An invaluable reference book on the mathematics of Greek antiquity Euclid, Archimedes, and Apollonius are familiar names to many of us, and their contributions have shaped mathematical practice up to modern times. Yet the mathematical activity of Greek antiquity extended far beyond their achievements and was furthered by diverse individuals in different contexts. Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean brings together an extensive collection of primary source materials that document the extraordinary breadth of mathematical ideas developed in the Eastern Mediterranean from 500 BCE to 500 CE, a millennium in which Greek cultural influence spanned the ancient world. Weaving together ancient commentaries with the works themselves, Victor Katz and Clemency Montelle present a wealth of newly translated texts along with sources difficult to find elsewhere, from writings by the great mathematical thinkers of Greek antiquity to those by practitioners who used mathematics in everyday life. This comprehensive and wide-ranging sourcebook includes lesser-known authors who made critical contributions, sometimes in languages other than Greek, as well as accounts of technical instrumentation, papyri by anonymous authors designed for teaching purposes, and evidence of hand computations and numerical tables. An essential resource for anyone interested in the mathematical achievements of this remarkable intellectual culture, Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean encompasses disciplines that illustrate the important role of mathematics in ancient Greek society more broadly, from astronomy, music, and optics to philosophy, literature, and theater.
Author: C. Sasaki
Publisher: Springer Science & Business Media
ISBN: 9401712255
Category : Mathematics
Languages : en
Pages : 502
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Book Description
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.
Author: Anne Sheppard
Publisher: A&C Black
ISBN: 1472509218
Category : Philosophy
Languages : en
Pages : 138
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Book Description
With a thorough examination of ancient views of literary and artistic realism, allegory and symbolism, The Poetics of Phantasia brings together a study of the ways in which the concept of imagination (phantasia in Greek) was used in ancient aesthetics and literary theory. The Greeks and Romans tended to think of the production of works of art in terms of imitation, either of the world around us or of a transcendent ideal world, rather than in terms of originality and creativity. Study of the way phantasia is used in ancient writing about literature and art reveals important features of the ancient approach to the arts and in doing so will also shed light on modern concepts of imagination and the literary and artistic differences between realism and allegory. Covering a range of literary and philosophical material from the beginnings of Greek literature down to the Neoplatonist philosophers of late antiquity, The Poetics of Phantasia discusses three discrete senses of imagination in ancient thought. Firstly, phantasia as visualization is explored: when a writer 'brings before his eyes' what he is describing and enables his audience or reader to visualise it likewise. The second theory of phantasia is that which is capable not only of conveying images from sense-perception but also of receiving images from intellectual and supra-intellectual faculties in the soul, and thus helping people grasp mathematical, metaphysical or even mystical concepts. Finally, phantasia is seen as a creative power which can conjure up an image that points beyond itself and to express ideas outside our everyday experience.
Author: Thomas Whittaker
Publisher:
ISBN:
Category : Neoplatonism
Languages : en
Pages : 258
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Book Description
Author: Thomas Whittaker
Publisher: Cambridge University Press
ISBN: 1316619885
Category : Philosophy
Languages : en
Pages : 337
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Book Description
First published in 1918, this book studies the development of Neoplatonism, with information on the historical and religious contexts of its development.
Author: Various
Publisher: Penguin
ISBN: 9780140448153
Category : Philosophy
Languages : en
Pages : 338
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Book Description
The works collected in this volume form the true foundation of Western philosophy—the base upon which Plato and Aristotle and their successors would eventually build. Yet the importance of the Pre-Socratics thinkers lies less in their influence—great though that was—than in their astonishing intellectual ambition and imaginative reach. Zeno's dizzying 'proofs' that motion is impossible; the extraordinary atomic theories of Democritus; the haunting and enigmatic epigrams of Heraclitus; and the maxims of Alcmaeon: fragmentary as they often are, the thoughts of these philosophers seem strikingly modern in their concern to forge a truly scientific vocabulary and way of reasoning. For more than seventy years, Penguin has been the leading publisher of classic literature in the English-speaking world. With more than 1,700 titles, Penguin Classics represents a global bookshelf of the best works throughout history and across genres and disciplines. Readers trust the series to provide authoritative texts enhanced by introductions and notes by distinguished scholars and contemporary authors, as well as up-to-date translations by award-winning translators.
Author: Pieter d' Hoine
Publisher: Oxford University Press
ISBN: 0199640335
Category : History
Languages : en
Pages : 439
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Book Description
Proclus (412-485 A.D.) was one of the last official "successors" of Plato at the head of the Academy in Athens at the end of Antiquity, before the school was finally closed down in 529. As a prolific author of systematic works on a wide range of topics and one of the most influential commentators on Plato of all times, the legacy of Proclus in the cultural history of the west can hardly be overestimated. This book introduces the reader to Proclus' life and works, his place in the Platonic tradition of Antiquity, and the influence his work exerted in later ages. Various chapters are devoted to Proclus' metaphysical system, including his doctrines about the first principle of all reality, the One, and about the Forms and the soul. The broad range of Proclus' thought is further illustrated by highlighting his contribution to philosophy of nature, scientific theory, theory of knowledge, and philosophy of language. Finally, also his most original doctrines on evil and providence, his Neoplatonic virtue ethics, his complex views on theology and religious practice, and his metaphysical aesthetics receive separate treatments. This book is the first to bring together the leading scholars in the field and to present a state of the art of Proclean studies today. In doing so, it provides the most comprehensive introduction to Proclus' thought currently available.
Author: Thomas Söderqvist
Publisher: Routledge
ISBN: 1317028899
Category : History
Languages : en
Pages : 318
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Book Description
Biographies of scientists carry an increasingly prominent role in today's publishing climate. Traditional historical and sociological accounts of science are complemented by narratives that emphasize the importance of the scientific subject in the production of science. Not least is the realization that the role of science in culture is much more accessible when presented through the lives of its practitioners. Taken as a genre, such biographies play an important role in the public understanding of science. In recent years there has been an increasing number of monographs and collections about biography in general and literary biography in particular. However, biographies of scientists, engineers and medical doctors have rarely been the topic of scholarly inquiry. As such this volume of essays will be welcomed by those interested in the genre of science biography, and who wish to re-examine its history, foundational problems and theoretical implications. Borrowing approaches and methods from cultural studies and the history, philosophy and sociology of science, the contributions cover a broad range of subjects, periods and locations. By presenting such a rich diversity of essays, the volume is able to chart the reoccurring conceptual problems and devices that have influenced scientific biographies from classical antiquity to the present day. In so doing it provides a compelling overview of the history of the genre, suggesting that the different valuations given scientific biography over time have been largely fuelled by vested professional interests.
Author: Mauro Bonazzi
Publisher: Cambridge University Press
ISBN: 1009253425
Category : Philosophy
Languages : en
Pages : 251
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Book Description
The first comprehensive account of Platonism from the foundation of Plato's Academy in the fourth century BC to late antiquity.
