The great mathematician Archimedes, a Sicilian Greek whose machines defended Syracuse against the Romans during the Second Punic War, was killed by a Roman after the city fell, yet it is largely Roman sources, and Greek texts aimed at Roman audiences, that preserve the stories about him. Archimedes' story, Mary Jaeger argues, thus becomes a locus where writers explore the intersection of Greek and Roman culture, and as such it plays an important role in Roman self-definition. Jaeger uses the biography of Archimedes as a hermeneutic tool, providing insight into the construction of the traditional historical narrative about the Roman conquest of the Greek world and the Greek cultural invasion of Rome. By breaking down the narrative of Archimedes' life and examining how the various anecdotes that comprise it are embedded in their contexts, the book offers fresh readings of passages from both well-known and less-studied authors, including Polybius, Cicero, Livy, Vitruvius, Plutarch, Silius Italicus, Valerius Maximus, Johannes Tzetzes, and Petrarch. "Jaeger, in her meticulous and elegant study of different ancient accounts of his life and inventions...reveal more about how the Romans thought about their conquest of the Greek world than about 'science'." ---Helen King, Times Literary Supplement "An absolutely wonderful book on a truly original and important topic. As Jaeger explores neglected texts that together tell an important story about the Romans' views of empire and their relationship to Greek cultural accomplishments, so she has written an important new chapter in the history of science. A genuine pleasure to read, from first page to last." ---Andrew Feldherr, Associate Professor of Classics, Princeton University "This elegantly written and convincingly argued project analyzes Archimedes as a vehicle for reception of the Classics, as a figure for loss and recovery of cultural memory, and as a metaphorical representation of the development of Roman identity. Jaeger's fastening on the still relatively obscure figure of the greatest ancient mathematician as a way of understanding cultural liminality in the ancient world is nothing short of a stroke of genius." ---Christina S. Kraus, Professor and Chair of Classics, Yale University "Archimedes and the Roman Imagination forms a useful addition to our understanding of Roman culture as well as of the reception of science in antiquity. It will make a genuine contribution to the discipline, not only in terms of its original interpretative claims but also as a fascinating example of how we may follow the cultural reception of historical figures." ---Reviel Netz, Professor of Classics, Stanford University Cover art: Benjamin West. Cicero Discovering the Tomb of Archimedes. Yale University Art Gallery. John Hill Morgan, B.A. 1893, LL.B. 1898, M.A. (Hon.) 1929, Fund.

This book describes the relationship between science and poetry in the Hellenistic period, transforming our understanding of the origins of Western mathematics.

As of yet, the remarkable and highly influential textual form of Euclidean mathematics has not been considered from a literary-aesthetic perspective. By its extreme standardization and seeming non-literariness it appears to defy such an approach. This book nonetheless attempts precisely a literary-aesthetic study of the language and style of Euclid’s Elements, focusing on book I. It aims to find out what is literary about the form and what motivates this form as form. In doing so, it employs the concept of clarity, asking: How is the textual form related to logical and communicative clarity? That is, how far is the omnipresent standardization necessary for the accomplishment and successful communication of the proofs? Based on a close analysis of the standardization at all levels of the text (lexicon, grammar, structure, and especially diagram), it argues that the textual form of the Elements is standardized beyond logical-communicative purposes, and that it is in this sense ‘aesthetic’. The book exposes the unexpected literary dimension of Euclid’s Elements, provides a new interpretation of the peculiar form of the work, and offers a model for determining the role of clarity (not only) in Greek theoretical mathematics.

Concepts are basic features of rationality. Debates surrounding them have been central to the study of philosophy in the medieval and modern periods, as well as in the analytical and Continental traditions. This book studies ancient Greek approaches to the various notions of concept, exploring the early history of conceptual theory and its associated philosophical debates from the end of the archaic age to the end of antiquity. When and how did the notion of concept emerge and evolve, what questions were raised by ancient philosophers in the Greco-Roman tradition about concepts, and what were the theoretical presuppositions that made the emergence of a notion of concept possible? The volume furthers our own contemporary understanding of the nature of concepts, concept formation, and concept use. This title is part of the Flip it Open Programme and may also be available Open Access. Check our website Cambridge Core for details.

In this engaging introduction, Constance Meinwald shows how Plato has shaped the landscape of Western philosophy. She provides much-needed historical context, and helps readers grapple with Plato’s distinctive use of highly crafted literary masterpieces for philosophical purposes. Meinwald examines some of Plato’s most famous discussions of human questions, concerning erōs, the capacities and immortality of our psyche, human excellence and the good life, and Plato’s controversial ideas about culture, society, and political organization. She shows how Plato makes a sketch of his theory of Forms foundational in this work, and she offers illuminating readings of texts concerned with the development of the theory and its relationship to Greek science and mathematics. Throughout, Meinwald draws expertly on Plato’s dialogues to present a lively and accessible picture of his philosophy. Including a chronology, glossary of terms, and suggestions for further reading, Plato is an ideal introduction to arguably the greatest of all Western philosophers, and is essential reading for students of ancient philosophy and classics.

G. E. R. Lloyd considers how we can resolve the tension that exists between an appreciation of the cognitive capacities that all humans share, and a recognition of the great variety in their manifestations in different individuals and groups--while avoiding the imposition of prior Western assumptions and concepts.

This is a wide-ranging study of numbers as a social and cultural phenomenon in ancient Greece, revealing both the instrumentality of numbers to polis life and the complex cultural meanings inherent in their use.