Iamblichus On The General Science Of Mathematics

Author : John Dillon
Publisher : Bloomsbury Publishing
ISBN 13 : 1350127663
Total Pages : 176 pages
Book Rating : 4.61/5 ( download)

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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 176 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.

Author : John Dillon
Publisher : Bloomsbury Publishing
ISBN 13 : 1350127671
Total Pages : 177 pages
Book Rating : 4.78/5 ( download)

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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.

Author : Victor J. Katz
Publisher : Princeton University Press
ISBN 13 : 0691202818
Total Pages : 720 pages
Book Rating : 4.15/5 ( download)

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Download or read book Sourcebook in the Mathematics of Ancient Greece and the Eastern Mediterranean written by Victor J. Katz and published by Princeton University Press. This book was released on 2024-09-17 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In recent decades, there has been extensive research on Greek mathematics that has considerably enlarged the scope of this area of inquiry. Traditionally, "Greek mathematics" has referred to the axiomatic work of Archimedes, Apollonius, and others in the first three centuries BCE. However, there is a wide body of mathematical work that appeared in the eastern Mediterranean during the time it was under Greek influence (from approximately 400 BCE to 600 CE), which remains under-explored in the existing scholarship. This sourcebook provides an updated look at Greek mathematics, bringing together classic Greek texts with material from lesser-known authors, as well as newly uncovered texts that have been omitted in previous scholarship. The book adopts a broad scope in defining mathematical practice, and as such, includes fields such as music, optics, and architecture. It includes important sources written in languages other than Greek in the eastern Mediterranean area during the period from 400 BCE to 600 CE, which show some influence from Greek culture. It also includes passages that highlight the important role mathematics played in philosophy, pedagogy, and popular culture. The book is organized topically; chapters include arithmetic, plane geometry, astronomy, and philosophy, literature, and education. Within each chapter, the (translated) texts are organized chronologically. The book weaves together ancient commentary on classic Greek works with the works themselves to show how the understanding of mathematical ideas changed over the centuries"--

Author : Anne Sheppard
Publisher : A&C Black
ISBN 13 : 1472509218
Total Pages : 138 pages
Book Rating : 4.15/5 ( download)

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Download or read book The Poetics of Phantasia written by Anne Sheppard and published by A&C Black. This book was released on 2014-03-13 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : R. J. Hankinson
Publisher : Oxford University Press
ISBN 13 : 0199246564
Total Pages : 516 pages
Book Rating : 4.64/5 ( download)

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Download or read book Cause and Explanation in Ancient Greek Thought written by R. J. Hankinson and published by Oxford University Press. This book was released on 2001 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work traces the history of ancient Greek thought about causation and explanation. It examines ways in which they dealt with questions about how and why things happen, about the constitution and structure of things, laws of nature, and more.

Author : Thomas Whittaker
Publisher :
ISBN 13 :
Total Pages : 348 pages
Book Rating : 4.80/5 ( download)

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Download or read book The Neo-Platonists written by Thomas Whittaker and published by . This book was released on 1918 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Thomas Söderqvist
Publisher : Routledge
ISBN 13 : 1317028902
Total Pages : 286 pages
Book Rating : 4.01/5 ( download)

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Download or read book The History and Poetics of Scientific Biography written by Thomas Söderqvist and published by Routledge. This book was released on 2016-03-03 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Kevin Corrigan
Publisher : BRILL
ISBN 13 : 9047420160
Total Pages : 291 pages
Book Rating : 4.63/5 ( download)

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Download or read book Platonisms: Ancient, Modern, and Postmodern written by Kevin Corrigan and published by BRILL. This book was released on 2007-06-30 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume argues that Plato and Platonism should be understood not as a series of determinate doctrines or philosophical facts to be pinned down once and for all, but rather as an inexhaustible mine of possible trajectories. The book examines in this light different strands of Platonic thinking from the dialogues themselves through later Antiquity and the Medieval World into Modernity and Post-Modernity with new essays ranging from Descartes, Kant, Hegel, and Natorp to Yeats, Levinas and Derrida. And also suggests the possibility of reading the dialogues and the whole tradition resonating in and through them in new, unexpected ways.

Author : Pieter d'Hoine
Publisher : Oxford University Press
ISBN 13 : 019109224X
Total Pages : 448 pages
Book Rating : 4.44/5 ( download)

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Download or read book All From One written by Pieter d'Hoine and published by Oxford University Press. This book was released on 2016-12-01 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Dominic J. O'Meara
Publisher : Oxford University Press
ISBN 13 : 9780198239130
Total Pages : 268 pages
Book Rating : 4.30/5 ( download)

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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 268 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 becomeinfluential 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.