The Shaping of Deduction in Greek Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Shaping of Deduction in Greek Mathematics write by Reviel Netz. This book was released on 2003-09-18. The Shaping of Deduction in Greek Mathematics available in PDF, EPUB and Kindle. 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.
On the Shaping of Deduction in Greek Mathematics
On the Shaping of Deduction in Greek Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Shaping of Deduction in Greek Mathematics write by Reviel Netz. This book was released on 1995. On the Shaping of Deduction in Greek Mathematics available in PDF, EPUB and Kindle.
Ludic Proof
Ludic Proof - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Ludic Proof write by Reviel Netz. This book was released on 2021-07-22. Ludic Proof available in PDF, EPUB and Kindle. 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.
The History of Mathematical Proof in Ancient Traditions
The History of Mathematical Proof in Ancient Traditions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The History of Mathematical Proof in Ancient Traditions write by Karine Chemla. This book was released on 2012-07-05. The History of Mathematical Proof in Ancient Traditions available in PDF, EPUB and Kindle. This radical, profoundly scholarly book explores the purposes and nature of proof in a range of historical settings. It overturns the view that the first mathematical proofs were in Greek geometry and rested on the logical insights of Aristotle by showing how much of that view is an artefact of nineteenth-century historical scholarship. It documents the existence of proofs in ancient mathematical writings about numbers and shows that practitioners of mathematics in Mesopotamian, Chinese and Indian cultures knew how to prove the correctness of algorithms, which are much more prominent outside the limited range of surviving classical Greek texts that historians have taken as the paradigm of ancient mathematics. It opens the way to providing the first comprehensive, textually based history of proof.
A New History of Greek Mathematics
A New History of Greek Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A New History of Greek Mathematics write by Reviel Netz. This book was released on 2022-09-01. A New History of Greek Mathematics available in PDF, EPUB and Kindle. The ancient Greeks played a fundamental role in the history of mathematics and their ideas were reused and developed in subsequent periods all the way down to the scientific revolution and beyond. In this, the first complete history for a century. Reviel Netz offers a panoramic view of the rise and influence of Greek mathematics and its significance in world history. He explores the Near Eastern antecedents and the social and intellectual developments underlying the subject's beginnings in Greece in the fifth century BCE. He leads the reader through the proofs and arguments of key figures like Archytas, Euclid and Archimedes, and considers the totality of the Greek mathematical achievement which also includes, in addition to pure mathematics, such applied fields as optics, music, mechanics and, above all, astronomy. This is the story not only of a major historical development, but of some of the finest mathematics ever created.
