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.

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.

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.

R. J. Hankinson traces the history of ancient Greek thinking about causation and explanation, from its earliest beginnings through more than a thousand years to the middle of the first millennium of the Christian era. He examines ways in which the Ancient Greeks dealt with questions about how and why things happen as and when they do, about the basic constitution and structure of things, about function and purpose, laws of nature, chance, coincidence, and responsibility.

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.

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.

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.

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.

Was Plato a Pythagorean? Plato's students and earliest critics thought so, but later scholars have been more skeptical. Plato and Pythagoreanism reconsiders this question by arguing that a specific type of Pythagorean philosophy, called "mathematical" Pythagoreanism, played a profound role in Plato's philosophy.