The Shaping of Deduction in Greek Mathematics
A Study in Cognitive History
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Shaping of Deduction in Greek Mathematics by Reviel Netz
Book DescriptionThe 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.
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Book DetailsISBN: 9780521622790
(228mm x 152mm x 24mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 11-Mar-1999
Country of Publication: United Kingdom
Books By Author Reviel Netz
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Works of Archimedes: Volume 1, The Two Books On the Sphere and the Cylinder, Paperback (July 2009)
Volume I of the first authoritative translation of Archimedes' works into English.
Ludic Proof, Hardback (May 2009)» View all books by Reviel Netz
This book describes the relationship between science and poetry in the Hellenistic period, transforming our understanding of the origins of Western mathematics.
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