The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.
The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.
The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered. In this trajectory Reviel Netz follows the change in the task from solving a geometrical problem to its expression as an equation, still formulated geometrically, and then on to an algebraic problem, now handled by procedures that are more like rules of manipulation. From a practice of mathematics based on the localized solution (and grounded in the polemical practices of early Greek science) we see a transition to a practice of mathematics based on the systematic approach (and grounded in the deuteronomic practices of Late Antiquity and the Middle Ages). With three chapters ranging chronologically from Hellenistic mathematics, through late Antiquity, to the medieval world, Reviel Netz offers an alternate interpretation of the historical journey of pre-modern mathematics.
The Archimedes Palimpsest is the name given to a Byzantine prayer book that was written over a number of earlier manuscripts, including one that contained two unique works by Archimedes, unquestionably the greatest mathematician of antiquity. Sold at auction in 1998, it has since been the subject of a privately funded project to conserve, image, and transcribe its texts. Images and transcriptions of three of these manuscripts are provided here. The first contains seven treatises by Archimedes, including two unique texts, Method and Stomachion, as well as the only extant Greek version of Floating Bodies. Previously unknown speeches by Hyperides and a second- or third-century commentary on Aristotle's Categories follow. The product of ten years of conservation, imaging, and scholarship, this book will be of interest to manuscript scholars, classicists, and historians of science.
The Archimedes Palimpsest is the name given to a Byzantine prayer book that was written over a number of earlier manuscripts, including one that contained two unique works by Archimedes, unquestionably the greatest mathematician of antiquity. Sold at auction in 1998, it has since been the subject of a privately funded project to conserve, image, and transcribe its texts. In this volume the scientists, conservators, classicists, and historians involved in the project discuss in full their techniques and their discoveries. These include new speeches by the classical Athenian orator Hyperides, a lost commentary on Aristotle's Categories from the second or third century AD, and substantial re-readings and reinterpretations of the works by Archimedes. The book discusses the pioneering imaging and post-processing techniques used to reveal the texts, and includes detailed codicological descriptions of all eight manuscripts that constitute the Palimpsest. It will be of interest to manuscript s
The Archimedes Palimpsest is the name given to a Byzantine prayer book that was written over a number of earlier manuscripts, including one that contained two unique works by Archimedes, unquestionably the greatest mathematician of antiquity. Sold at auction in 1998, it has since been the subject of a privately funded project to conserve, image, and transcribe its texts. In Volume 1 the scientists, conservators, classicists, and historians involved in the project discuss in full their techniques and their discoveries. These include new speeches by the classical Athenian orator Hyperides, a lost commentary on Aristotle's Categories from the second or third century AD, and substantial re-readings and reinterpretations of the works by Archimedes. Volume 2 contains a complete set of colour images and transcriptions of the most important manuscripts that constitute the Palimpsest. The volumes will be of interest to manuscript scholars, conservators, classicists, and historians of science.
The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered. In this trajectory Reviel Netz follows the change in the task from solving a geometrical problem to its expression as an equation, still formulated geometrically, and then on to an algebraic problem, now handled by procedures that are more like rules of manipulation. From a practice of mathematics based on the localized solution (and grounded in the polemical practices of early Greek science) we see a transition to a practice of mathematics based on the systematic approach (and grounded in the deuteronomic practices of Late Antiquity and the Middle Ages). With three chapters ranging chronologically from Hellenistic mathematics, through late Antiquity, to the medieval world, Reviel Netz offers an alternate interpretation of the historical journey of pre-modern mathematics.
This book represents a new departure in science studies: an analysis of a scientific style of writing, situating it within the context of the contemporary style of literature. Its philosophical significance is that it provides a novel way of making sense of the notion of a scientific style. For the first time, the Hellenistic mathematical corpus - one of the most substantial extant for the period - is placed centre-stage in the discussion of Hellenistic culture as a whole. Professor Netz argues that Hellenistic mathematical writings adopt a narrative strategy based on surprise, a compositional form based on a mosaic of apparently unrelated elements, and a carnivalesque profusion of detail. He further investigates how such stylistic preferences derive from, and throw light on, the style of Hellenistic poetry. This important book will be welcomed by all scholars of Hellenistic civilization as well as historians of ancient science and Western mathematics.
Greek culture matters because its unique pluralistic debate shaped modern discourses. This ground-breaking book explains this feature by retelling the history of ancient literary culture through the lenses of canon, space and scale. It proceeds from the invention of the performative 'author' in the archaic symposium through the 'polis of letters' enabled by Athenian democracy and into the Hellenistic era, where one's space mattered and culture became bifurcated between Athens and Alexandria. This duality was reconfigured into an eclectic variety consumed by Roman patrons and predicated on scale, with about a thousand authors active at any given moment. As patronage dried up in the third century CE, scale collapsed and literary culture was reduced to the teaching of a narrower field of authors, paving the way for the Middle Ages. The result is a new history of ancient culture which is sociological, quantitative, and all-encompassing, cutting through eras and genres.
In this original and controversial book, historian and philosopher Reviel Netz explores the development of a controlling and pain-inducing technology--barbed wire. Surveying its development from 1874
Describes the discovery of the lost works of Archimedes, the great Greek mathematician, as part of a palimpsest from a medieval prayer book created during the thirteenth century, and offers a look at
Describes the discovery of the lost works of Archimedes, the great Greek mathematician, as part of a palimpsest from a medieval prayer book created during the thirteenth century, and offers a revealin
