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Philosophos
Mary Louise Gill presents a bold new explanation of the fact that the dialogue which Plato promised to write on the Philosopher, complementing the Sophist and the Statesman, is missing. Gill argues that he left it unwritten in order to stimulate his readers and encourage them to work out, for themselves, the portrait it would have contained.
Aristotle on Substance
This book explores a fundamental tension in Aristotle's metaphysics: how can an entity such as a living organisma composite generated through the imposition of form on preexisting matterhave the conceptual unity that Aristotle demands of primary substances? Mary Louise Gill bases her treatment of the problem of unity, and of Aristotle's solution, on a fresh interpretation of the relation between matter and form. Challenging the traditional understanding of Aristotelian matter, she argues that material substances are subverted by matter and maintained by form that controls the matter to serve a positive end. The unity of material substances thus involves a dynamic relation between resistant m...
Parmenides
English translation of one of the more challenging and enigmatic of Plato's dialogues between Socrates and Parmenides and Zeno of Elea, that begins with Zeno defending his treatise of Parmenidean monism against those partisans of plurality.
A Companion to Ancient Philosophy
A Companion to Ancient Philosophy provides a comprehensive and current overview of the history of ancient Greek and Roman philosophy from its origins until late antiquity. Comprises an extensive collection of original essays, featuring contributions from both rising stars and senior scholars of ancient philosophy Integrates analytic and continental traditions Explores the development of various disciplines, such as mathematics, logic, grammar, physics, and medicine, in relation to ancient philosophy Includes an illuminating introduction, bibliography, chronology, maps and an index
Self-Motion
The concept of self-motion is not only fundamental in Aristotle's argument for the Prime Mover and in ancient and medieval theories of nature, but it is also central to many theories of human agency and moral responsibility. In this collection of mostly new essays, scholars of classical, Hellenistic, medieval, and early modern philosophy and science explore the question of whether or not there are such things as self-movers, and if so, what their self-motion consists in. They trace the development of the concept of self-motion from its formulation in Aristotle's metaphysics, cosmology, and philosophy of nature through two millennia of philosophical, religious, and scientific thought. This vo...
Set Theory and its Philosophy
Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.
Unity, Identity, and Explanation in Aristotle's Metaphysics
This volume presents fourteen new essays by leading figures in the fields of ancient philosophy and contemporary metaphysics, discussing Aristotle's theory of the unity of substances. This topic remains at the centre of metaphysical enquiry.The contributors examine the nature of essences, how they differ from other components of substance, and how they are related to these other components. The central questions discussed here are: What does Aristotle mean by 'potentiality' and 'actuality'? How do these concepts explicate matter andform, and how are they related to the actuality of substance? What is the role of matter and form in accounting for the unity, identity, and individuation of substances? These questions are crucial to an understanding of the unity of composite substances and their identity over time.The aim of the volume is both exegetical and philosophical: to address central issues in Aristotle's Metaphysics, and to stimulate further investigation of the problems and controversies that arise from these.
Aristotle on Substance
This book explores a fundamental tension in Aristotle's metaphysics: how can an entity such as a living organisma composite generated through the imposition of form on preexisting matterhave the conceptual unity that Aristotle demands of primary substances? Mary Louise Gill bases her treatment of the problem of unity, and of Aristotle's solution, on a fresh interpretation of the relation between matter and form. Challenging the traditional understanding of Aristotelian matter, she argues that material substances are subverted by matter and maintained by form that controls the matter to serve a positive end. The unity of material substances thus involves a dynamic relation between resistant m...
Virtue in the Cave
One of very few monographs devoted to Plato's Meno, this study emphasizes the interplay between its protagonists, Socrates and Meno. It interprets the Meno as Socrates' attempt to persuade his interlocutor, by every device at his disposal, of the value of moral inquiry-even th...
Plato's Phaedrus
Composed in the fourth century b.c., the Phaedrus—a dialogue between Phaedrus and Socrates—deals ostensibly with love but develops into a wide-ranging discussion of such subjects as the pursuit of beauty, the nature of humanity, the immortality of the soul, and the attainment of truth, ending with an in-depth discussion of the principles of rhetoric. This erudite commentary, which also includes the original Greek text, is designed to help intermediate-level students of Greek read, understand, and enjoy Plato’s magnificent work. Drawing on his extensive classroom experience and linguistic expertise, Paul Ryan offers a commentary that is both rich in detail and—in contrast to earlier, ...
