divisibility in Physics VI. I had been assuming at that time that Aristotle's elimination of reference to the infinitely large in his account of the potential inf inite--like the elimination of the infinitely small from nineteenth century accounts of limits and continuity--gave us everything that was important in a theory of the infinite. Hilbert's paper showed me that this was not obviously so. Suddenly other certainties about Aristotle's (apparently) judicious toning down of (supposed) Platonic extremisms began to crumble. The upshot of work I had been doing earlier on Plato's 'Third Man Argument' began to look different from the way it had before. I was confronted with a possibility I had not till then so much as entertained. What if the more extreme posi tions of Plato on these issues were the more likely to be correct? The present work is the first instalment of the result ing reassessment of Plato's metaphysics, and especially of his theory of Forms. It has occupied much of my teaching and scholarly time over the past fifteen years and more. The central question wi th which I concern myself is, "How does Plato argue for the existence of his Forms (if he does )7" The idea of making this the central question is that if we know how he argues for the existence of Forms, we may get a better sense of what they are."

This book examines the birth of the scientific understanding of motion. It investigates which logical tools and methodological principles had to be in place to give a consistent account of motion, and which mathematical notions were introduced to gain control over conceptual problems of motion. It shows how the idea of motion raised two fundamental problems in the 5th and 4th century BCE: bringing together being and non-being, and bringing together time and space. The first problem leads to the exclusion of motion from the realm of rational investigation in Parmenides, the second to Zeno's paradoxes of motion. Methodological and logical developments reacting to these puzzles are shown to be present implicitly in the atomists, and explicitly in Plato who also employs mathematical structures to make motion intelligible. With Aristotle we finally see the first outline of the fundamental framework with which we conceptualise motion today.

Oxford Studies in Ancient Philosophy is an annual volume of original articles, which may be of substantial length, on a wide range of topics in ancient philosophy, and review articles of major books. The 1998 volume is broad in scope, as ever, featuring four pieces on Aristotle, two on Plato, and one each on Xenophanes, the Atomists, and Plutarch. 'An excellent periodical.' Mary Margaret MacKenzie, Times Literary Supplement 'This ... annual collection ... has become standard reading among specialists in ancient philosophy ... Oxford Studies in Ancient Philosophy continues to reflect the vigour of a challenging but vital sub-discipline within Classical Studies and Philosophy.' Brad Inwood, Bryn Mawr Classical Review

What sort of things happen when space crystallises? Why were primordial sages fascinated with five simple forms? Does the three-dimensional jigsaw fit simply together? If so how? Find out about one of the languages spoken throughout the universe! An understanding of the Platonic Solids, and their close cousins, the Archimedean Solids has long been required of students seeking entry into ancient wizdom schools. This book, illustrated by the author, is a beautiful introduction to three-dimensional mathemagical space. WOODEN BOOKS are small but packed with information. "Fascinating" FINANCIAL TIMES. "Beautiful" LONDON REVIEW OF BOOKS. "Rich and Artful" THE LANCET. "Genuinely mind-expanding" FORTEAN TIMES. "Excellent" NEW SCIENTIST. "Stunning" NEW YORK TIMES. Small books, big ideas.

Overcoming Uncertainty in Ancient Greek Political Philosophy makes an historical and theoretical contribution by explaining the role of opinion in ancient Greek political philosophy, showing its importance for Aristotle's theory of deliberation, and indicating a new model for a deliberative republic. Currently, there are no studies of opinion in ancient Greek political theory and so the book breaks new historical ground. The book establishes that opinion is key for the political theories of Plato, Aristotle, and the Stoics because each sees uncertainty as a problem that needs to be overcome if one is to establish a virtuous polity. Since they have different notions of the nature of the uncertainty of opinion, they develop very different political strategies to overcome it. The book explains that Plato's and the Stoics' analyses of uncertainty support oligarchy and monarchy, respectively, and that theoretical support for deliberate politics requires a more nuanced understanding of uncertainty that only Aristotle provides.

This book brings together twenty articles giving a comprehensive view of the work of the Aristotelian commentators. First published in 1990, the collection is now brought up to date with a new introduction by Richard Sorabji. New generations of scholars will benefit from this reissuing of classic essays, including seminal works by major scholars, and the volume gives a comprehensive background to the work of the project on the Ancient Commentators on Aristotle, which has published over 100 volumes of translations since 1987 and has disseminated these crucial texts to scholars worldwide. The importance of the commentators is partly that they represent the thought and classroom teaching of the Aristotelian and Neoplatonist schools and partly that they provide a panorama of a thousand years of ancient Greek philosophy, revealing many original quotations from lost works. Even more significant is the profound influence - uncovered in some of the chapters of this book - that they exert on later philosophy, Islamic and Western. Not only did they preserve anti-Aristotelian material which helped inspire Medieval and Renaissance science, but they present Aristotle in a form that made him acceptable to the Christian church. It is not Aristotle, but Aristotle transformed and embedded in the philosophy of the commentators that so often lies behind the views of later thinkers.

"Phaedo is one of Plato's most important works, exploring the nature of life, death, and the soul. Socrates has been sentenced to death for corrupting the youth of Athens. In the hours before he is forced to drink hemlock, he talks with his followers and friends, arguing in favor of in the immortality of the soul, and concluding that death holds no fear for the true philosopher. In the process, he lays the metaphysical foundations for Platonic thought. While being primarily a philosophical treatise, Phaedo is also a moving account of the untimely death of a beloved teacher. It is this dual character which makes it highly regarded as a work of literature.

- integrates relevant philosophy in a way that makes it understandable and palatable to psychoanalytic readers - there isn't much direct competition to this book; it's an original contribution

50 years before Philoponus, two Christians from Gaza, seeking to influence Alexandrian Christians, defended the Christian belief in resurrection and the finite duration of the world, and attacked rival Neoplatonist views. Aeneas addresses an unusual version of the food chain argument against resurrection, that our bodies will get eaten by other creatures. Zacharias attacks the Platonist examples of synchronous creation, which were the production of light, of shadow, and of a footprint in the sand. A fragment survives of a third Gazan contribution by Procopius. Zacharias lampoons the Neoplatonist professor in Alexandria, Ammonius, and claims a leading role in the riot which led to the cleverest Neoplatonist, Damascius, fleeing to Athens. It was only Philoponus, however, who was able to embarrass the Neoplatonists by arguing against them on their own terms. This volume contains an English translation of the works by Aeneas of Gaza and Zacharias of Mytilene, accompanied by a detailed introduction, explanatory notes and a bibliography.

This book promotes the research of present-day women working in ancient and medieval philosophy, with more than 60 women having contributed in some way to the volume in a fruitful collaboration. It contains 22 papers organized into ten distinct parts spanning the sixth century BCE to the fifteenth century CE. Each part has the same structure: it features, first, a paper which sets up the discussion, and then, one or two responses that open new perspectives and engage in further reflections. Our authors' contributions address pivotal moments and players in the history of philosophy: women philosophers in antiquity, Cleobulina of Rhodes, Plato, Lucretius, Bardaisan of Edessa, Alexander of Aphrodisias, Plotinus, Porphyry, Peter Abelard, Robert Kilwardby, William Ockham, John Buridan, and Isotta Nogarola. The result is a thought-provoking collection of papers that will be of interest to historians of philosophy from all horizons. Far from being an isolated effort, this book is a contribution to the ever-growing number of initiatives which endeavour to showcase the work of women in philosophy.

Nietzsche's Renewal of Ancient Ethics connects different strands in Nietzsche studies to progress a unique interpretation of friendship in his writings. Exploring this alternative approach to Nietzsche's ethics through the influence of ancient Greek ideals on his ideas, Neil Durrant highlights the importance of contest for developing strong friendships. Durrant traces the history of what Nietzsche termed a 'higher friendship' to the ancient Greek ideal of the Homeric hero. In this kind of friendship, neither person attempts to tyrannize or dominate the other but rather aims to promote the differences between them as a way of stimulating stronger and fiercer contests. Through this exchange, they discover new heights-new standards of excellence-both for themselves and for others. Durrant shows how the development of this approach to personal relationships relied on Nietzsche rejecting the Christian ideals of love and compassion to build an ethics which incorporated aspects of evolutionary biology into the ancient Homeric ideals he was himself wedded to. The resulting 'higher friendship' is strong enough to include not only love and compassion, but also enmity and opposition, expanding our notion of what is good and ethical in the process.

'All teaching and all intellectual learning come to be from pre-existing knowledge.' So begins Aristotle's Posterior Analytics, one of the most important, and difficult, works in the history of western philosophy. David Bronstein sheds new light on this challenging text by arguing that it is coherently structured around two themes of enduring philosophical interest: knowledge and learning. The Posterior Analytics, on Bronstein's reading, is a sustained examination of scientific knowledge: what it is and how it is acquired. Aristotle first discusses two principal forms of scientific knowledge (epist?m? and nous). He then provides a compelling account, in reverse order, of the types of learning one needs to undertake in order to acquire them. The Posterior Analytics thus emerges as an elegantly organized work in which Aristotle describes the mind's ascent from sense-perception of particulars to scientific knowledge of first principles. Bronstein also highlights Plato's influence on Aristotle's text. For each type of learning Aristotle discusses, Bronstein uncovers an instance of Meno's Paradox (a puzzle from Plato's Meno according to which inquiry and learning are impossible) and a solution to it. In addition, he argues, against current orthodoxy, that Aristotle is committed to the Socratic Picture of inquiry, according to which one should seek what a thing's essence is before seeking its demonstrable attributes and their causes. Aristotle on Knowledge and Learning will be of interest to students and scholars of ancient philosophy, epistemology, or philosophy of science.

Oxford Studies in Ancient Philosophy is a volume of original articles on all aspects of ancient philosophy. The articles may be of substantial length, and include critical notices of major books. OSAP is now published twice yearly, in both hardback and paperback. In this volume, articles range from Socrates to Alexander of Aphrodisias, with several on each of Aristotle and Plato. Editor: David Sedley, Laurence Professor of Ancient Philosophy, University of Cambridge. 'unique value as a collection of outstanding contributions in the area of ancient philosophy.' Sara Rubinelli, Bryn Mawr Classical Review

The Clarendon Aristotle Series is designed for both students and professionals. It provides accurate translations of selected Aristotelian texts, accompanied by incisive commentaries that focus on philosophical problems and issues, The volumes in the series have been widely welcomed and favourably reviewed. Important new titles are being added to the series, and a number of well-established volumes are being reissued with revisions and/or supplementary material. Christopher Shields presents a new translation and commentary of Aristotle's De Anima, a work of interest to philosophers at all levels, as well as psychologists and students interested in the nature of life and living systems. The volume provides a full translation of the complete work, together with a comprehensive commentary. While sensitive to philological and textual matters, the commentary addresses itself to the philosophical reader who wishes to understand and assess Aristotle's accounts of the soul and body; perception; thinking; action; and the character of living systems. It aims to present controversial aspects of the text in a neutral, fair-minded manner, so that readers can come to be equipped to form their own judgments. This volume includes the crucial first book, which the original translation in the Clarendon Aristotles Series omitted.

Offering a bold new vision on the history of modern logic, Lukas M. Verburgt and Matteo Cosci focus on the lasting impact of Aristotle's syllogism between the 1820s and 1930s. For over two millennia, deductive logic was the syllogism and syllogism was the yardstick of sound human reasoning. During the 19th century, this hegemony fell apart and logicians, including Boole, Frege and Peirce, took deductive logic far beyond its Aristotelian borders. However, contrary to common wisdom, reflections on syllogism were also instrumental to the creation of new logical developments, such as first-order logic and early set theory. This volume presents the period under discussion as one of both tradition and innovation, both continuity and discontinuity. Modern logic broke away from the syllogistic tradition, but without Aristotle's syllogism, modern logic would not have been born. A vital follow up to The Aftermath of Syllogism, this book traces the longue duree history of syllogism from Richard Whately's revival of formal logic in the 1820s through the work of David Hilbert and the Goettingen school up to the 1930s. Bringing together a group of major international experts, it sheds crucial new light on the emergence of modern logic and the roots of analytic philosophy in the 19th and early 20th centuries.

This volume examines the discussion of the Chaldean Oracles in the work of Proclus, as well as offering a translation and commentary of Proclus' Treatise On Chaldean Philosophy. Spanu assesses whether Proclus' exegesis of the Chaldean Oracles can be used by modern research to better clarify the content of Chaldean doctrine or must instead be abandoned because it represents a substantial misinterpretation of originary Chaldean teachings. The volume is augmented by Proclus' Greek text, with English translation and commentary. Proclus and the Chaldean Oracles will be of interest to researchers working on Neoplatonism, Proclus and theurgy in the ancient world.

Fifth-century Athenian musical and political theorist Damon was the first to study music's psychological, behavioural, and political effects, profoundly influencing debates on music theory throughout antiquity. Considered by Isokrates to be the most intelligent Athenian of his age, Damon worked alongside Perikles during the most vibrant decades of Athens' democracy. Probably using fourth-century BC sources, Olympiodoros records that 'Damon taught Perikles the songs through which Perikles harmonized the city'. However, musical and political entanglements caused this teacher-theorist to be ostracized from Athens for ten years, at the height of Perikles' power. Reconstructing Damon is the first comprehensive study of the most important theorist of music and poetic meter in ancient Athens, detailing his extensive influence, and providing the first systematic collection, translation, and critical examination of all ancient testimonia for him. In doing so, this volume makes an important contribution to a number of key fields, including classical Greek music and music theory, fifth-century philosophy (particularly the sophists), political history including the growth of democracy, and the life and career of Perikles.

The volumes of the 'Symposium Aristotelicum' have become the obligatory reference works for all studies on Aristotle. In this eighteenth volume a distinguished group of scholars offers a chapter-by-chapter study of the first book of Aristotle's Metaphysics. Aristotle presents here his philosophical project as a search for wisdom, which is found in the knowledge of the first principles allowing us to explain whatever exists. As he shows, the earlier philosophers had been seeking such a wisdom, though they had divergent views on what these first principles were. Before Aristotle sets out his own views, he offers a critical examination of his predecessors' views, ending up with a lengthy discussion of Plato's doctrine of the Forms. Book Alpha is not just a fundamental text for reconstructing the early history of Greek philosophy; it sets the agenda for Aristotle's own project of wisdom after what he had learned from his predecessors. The volume comprises eleven chapters, each dealing with a different section of the text, and a new edition of the Greek text of Metaphysics Alpha by Oliver Primavesi, based on an exhaustive examination of the complex manuscript and indirect tradition. The introduction to the edition offers new insights into the question which has haunted editors of the Metaphysics since Bekker, namely the relation between the two divergent traditions of the text.

This book reconstructs in detail the older Stoic theory of the psychology of action, discussing it in relation to Aristotelian, Epicurean, Platonic, and some of the more influential modern theories. Important Greek terms are transliterated and explained; no knowledge of Greek is required.

The Seventh Platonic Letter describes Plato's attempts to turn the ruler of Sicily, Dionysius II, into a philosopher ruler along the lines of the Republic. It explains why Plato turned from politics to philosophy in his youth and how he then tried to apply his ideas to actual politics later on. It also sets out his views about language, writing and philosophy. As such, it represents a potentially crucial source of information about Plato, who tells us almost nothing about himself in his dialogues. But is it genuine? Scholars have debated the issue for centuries, although recent opinion has moved in its favour. The origin of this book was a seminar given in Oxford in 2001 by Myles Burnyeat and Michael Frede, two of the most eminent scholars of ancient philosophy in recent decades. Michael Frede begins by casting doubt on the Letter by looking at it from the general perspective of letter writing in antiquity, when it was quite normal to fabricate letters by famous figures from the past. Both then attack the authenticity of the letter head-on by showing how its philosophical content conflicts with what we find in the Platonic dialogues. They also reflect on the question of why the Letter was written, whether as an attempt to exculpate Plato from the charge of meddling in politics (Frede), or as an attempt to portray, through literary means, the ways in which human weakness and emotions can lead to disasters in political life (Burnyeat).

M. M. McCabe presents a selection of her essays which explore the ways in which the Platonic method of conversation may inform how we understand both the Platonic dialogues and the work of his predecessors and his successors. The centrality of conversation to philosophical method is taken here to account both for how we should read the ancients and for the connections between argument, knowledge, and virtue in the texts in question. The book argues that we should attend, consequently, to the reflective dimension of reading and thought; and that this reflection explains both how we should think about the conditions for perception and knowledge, and how those conditions, in turn, inform the theories of value of both Plato and Aristotle.