Iamblichus On The General Science Of Mathematics

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Iamblichus: On the General Science of Mathematics

John Dillon,J.O. Urmson
Iamblichus On the General Science of Mathematics Book PDF

Author : John Dillon,J.O. Urmson
Publisher : Bloomsbury Publishing
Page : 177 pages
File Size : 43,5 Mb
Release : 2020-06-11
Category : Mathematics
ISBN : 9781350127678

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Iamblichus: On the General Science of Mathematics by John Dillon,J.O. Urmson Pdf

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.

Iamblichus

Iamblichus
Iamblichus Book PDF

Author : Iamblichus
Publisher : Unknown
Page : 176 pages
File Size : 42,6 Mb
Release : 2020
Category : Electronic books
ISBN : 135012768X

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Iamblichus by Iamblichus Pdf

"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."--

Descartes’s Mathematical Thought

C. Sasaki
Descartes s Mathematical Thought Book PDF

Author : C. Sasaki
Publisher : Springer Science & Business Media
Page : 526 pages
File Size : 47,8 Mb
Release : 2003-11-30
Category : Mathematics
ISBN : 1402017464

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Descartes’s Mathematical Thought by C. Sasaki Pdf

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.

Science Writing in Greco-Roman Antiquity

Liba Taub
Science Writing in Greco Roman Antiquity Book PDF

Author : Liba Taub
Publisher : Cambridge University Press
Page : 211 pages
File Size : 54,8 Mb
Release : 2017-04-13
Category : History
ISBN : 9780521113700

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Science Writing in Greco-Roman Antiquity by Liba Taub Pdf

This book explores how science and mathematics were communicated in antiquity in a wide variety of texts, including poetry, letters and biographies.

Plato and Pythagoreanism

Phillip Sidney Horky
Plato and Pythagoreanism Book PDF

Author : Phillip Sidney Horky
Publisher : Oxford University Press
Page : 328 pages
File Size : 42,9 Mb
Release : 2016
Category : History
ISBN : 9780190465704

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Plato and Pythagoreanism by Phillip Sidney Horky Pdf

Was Plato a Pythagorean? Plato's students and earliest critics thought so, but scholars since the nineteenth century have been more skeptical. With this probing study, Phillip Sidney Horky argues that a specific type of Pythagorean philosophy, called mathematical Pythagoreanism, exercised a decisive influence on fundamental aspects of Plato's philosophy. The progenitor of mathematical Pythagoreanism was the infamous Pythagorean heretic and political revolutionary Hippasus of Metapontum, a student of Pythagoras who is credited with experiments in harmonics that led to innovations in mathematics. The innovations of Hippasus and other mathematical Pythagoreans, including Empedocles of Agrigentum, Epicharmus of Syracuse, Philolaus of Croton, and Archytas of Tarentum, presented philosophers like Plato with novel ways to reconcile empirical knowledge with abstract mathematical theories. Plato and Pythagoreanism demonstrates how mathematical Pythagoreanism established many of the fundamental philosophical questions Plato dealt with in his central dialogues, including Cratylus, Phaedo, Republic, Timaeus, and Philebus. In the process, it also illuminates the historical significance of the mathematical Pythagoreans, a group whose influence on the development of philosophical and scientific methods has been obscured since late antiquity. The picture that results is one in which Plato inherits mathematical Pythagorean method only to transform it into a powerful philosophical argument about the essential relationships between the cosmos and the human being.

Platonisms

Kevin Corrigan,John Douglas Turner
Platonisms Book PDF

Author : Kevin Corrigan,John Douglas Turner
Publisher : BRILL
Page : 292 pages
File Size : 43,7 Mb
Release : 2007
Category : Philosophy
ISBN : 9789004158412

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Platonisms by Kevin Corrigan,John Douglas Turner Pdf

By questioning the modern categories of Plato and Platonism, this book offers new ways of reading the Platonic dialogues and the many traditions that resonate in them from Antiquity to Post-Modernity.

Pythagoras Revived

Dominic J. O'Meara
Pythagoras Revived Book PDF

Author : Dominic J. O'Meara
Publisher : Clarendon Press
Page : 264 pages
File Size : 49,9 Mb
Release : 1989-04-20
Category : Philosophy
ISBN : 9780191519802

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Pythagoras Revived by Dominic J. O'Meara Pdf

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.

The Poetics of Phantasia

Anne Sheppard
The Poetics of Phantasia Book PDF

Author : Anne Sheppard
Publisher : A&C Black
Page : 256 pages
File Size : 42,5 Mb
Release : 2014-03-13
Category : Philosophy
ISBN : 9781472509215

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The Poetics of Phantasia by Anne Sheppard Pdf

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.

A New History of Greek Mathematics

Reviel Netz
A New History of Greek Mathematics Book PDF

Author : Reviel Netz
Publisher : Cambridge University Press
Page : 541 pages
File Size : 46,8 Mb
Release : 2022-09-01
Category : Philosophy
ISBN : 9781108991919

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A New History of Greek Mathematics by Reviel Netz Pdf

The ancient Greeks played a fundamental role in the history of mathematics and their ideas were reused and developed in subsequent periods all the way down to the scientific revolution and beyond. In this, the first complete history for a century. Reviel Netz offers a panoramic view of the rise and influence of Greek mathematics and its significance in world history. He explores the Near Eastern antecedents and the social and intellectual developments underlying the subject's beginnings in Greece in the fifth century BCE. He leads the reader through the proofs and arguments of key figures like Archytas, Euclid and Archimedes, and considers the totality of the Greek mathematical achievement which also includes, in addition to pure mathematics, such applied fields as optics, music, mechanics and, above all, astronomy. This is the story not only of a major historical development, but of some of the finest mathematics ever created.

Cause and Explanation in Ancient Greek Thought

R. J. Hankinson
Cause and Explanation in Ancient Greek Thought Book PDF

Author : R. J. Hankinson
Publisher : Oxford University Press
Page : 516 pages
File Size : 45,5 Mb
Release : 2001
Category : Philosophy
ISBN : 9780199246564

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Cause and Explanation in Ancient Greek Thought by R. J. Hankinson Pdf

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.

All From One

Pieter d'Hoine,Marije Martijn
All From One Book PDF

Author : Pieter d'Hoine,Marije Martijn
Publisher : Oxford University Press
Page : 448 pages
File Size : 51,8 Mb
Release : 2016-12-01
Category : Philosophy
ISBN : 9780191092244

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All From One by Pieter d'Hoine,Marije Martijn Pdf

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.

Platonism

Mauro Bonazzi
Platonism Book PDF

Author : Mauro Bonazzi
Publisher : Cambridge University Press
Page : 251 pages
File Size : 41,9 Mb
Release : 2023-03-31
Category : Philosophy
ISBN : 9781009253406

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Platonism by Mauro Bonazzi Pdf

The task of philosophy, the French philosopher Gilles Deleuze once wrote, is to 'overturn Platonism'. This might be true, if only we could define what Platonism is. In this clear and accessible book Mauro Bonazzi provides the first comprehensive introduction to ancient Platonism. He begins his story with Plato's Academy before moving on to the sceptical turn which occurred during the Hellenistic centuries. He then explains the theologically oriented interpretation of Plato typical of Middle Platonists and concludes with the metaphysical systems of the Neoplatonists. Platonism has often been regarded as no more than a trivial repetition of the same doctrines. This book, however, demonstrates how the attempts of Platonists over the centuries to engage with Plato's thought constitute one of the most philosophically challenging moments in the history of ancient philosophy.

The Libraries of the Neoplatonists

Cristina D' Ancona
The Libraries of the Neoplatonists Book PDF

Author : Cristina D' Ancona
Publisher : BRILL
Page : 572 pages
File Size : 43,9 Mb
Release : 2007-04-30
Category : Philosophy
ISBN : 9789047419471

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The Libraries of the Neoplatonists by Cristina D' Ancona Pdf

The transmission of Greek learning to the Arabic-speaking world paved the way to the rise of Arabic philosophy. This volume offers a deep and multifarious survey of transmission of Greek philosophy through the schools of late Antiquity to the Syriac-speaking and Arabic-speaking worlds.

Pythagoras

Christoph Riedweg
Pythagoras Book PDF

Author : Christoph Riedweg
Publisher : Cornell University Press
Page : 199 pages
File Size : 55,8 Mb
Release : 2012-03-27
Category : Biography & Autobiography
ISBN : 9780801464843

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Pythagoras by Christoph Riedweg Pdf

One of the most important mathematical theorems is named after Pythagoras of Samos, but this semi-mythical Greek sage has more to offer than formulas. He is said to have discovered the numerical nature of the basic consonances and transposed the musical proportions to the cosmos, postulating a "harmony of the spheres." He may have coined the words "cosmos" and "philosophy." He is also believed to have taught the doctrine of transmigration of souls and therefore to have advised a vegetarian diet. Ancient legends have Pythagoras conversing with dogs, bears, and bulls. A distinctly Pythagorean way of life, including detailed ritual regulations, was observed by his disciples, who were organized as a secret society. Later, Pythagorean and Platonic teachings became fused. In this Platonized form, Pythagoreanism has remained influential through medieval Christianity and the Renaissance down to the present. Christoph Riedweg's book is an engaging introduction to the fundamental contributions of Pythagoras to the establishment of European culture. To penetrate the intricate maze of lore and ascertain what history can tell us about the philosopher, Riedweg not only examines the written record but also considers Pythagoras within the cultural, intellectual, and spiritual context of his times. The result is a vivid overview of the life and teachings of a crucial Greek thinker and his most important followers.

The History and Poetics of Scientific Biography

Thomas Söderqvist
The History and Poetics of Scientific Biography Book PDF

Author : Thomas Söderqvist
Publisher : Routledge
Page : 286 pages
File Size : 45,9 Mb
Release : 2016-03-03
Category : History
ISBN : 9781317028901

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The History and Poetics of Scientific Biography by Thomas Söderqvist Pdf

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.