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Euclid and His Twentieth Century Rivals : Diagrams in the Logic of Euclidean Geometry, Paperback / softback Book

Euclid and His Twentieth Century Rivals : Diagrams in the Logic of Euclidean Geometry Paperback / softback

Part of the Studies in the Theory and Applications of Diagrams series

Paperback / softback

Description

Twentieth-century developments in logic and mathematics have led many people to view Euclid's proofs as inherently informal, especially due to his use of diagrams.

In "Euclid and His Twentieth-Century Rivals", Nathaniel Miller discusses the history of such diagrams in Euclidean geometry, develops a formal system for working with them, and concludes that they can indeed be used rigorously.

Miller also introduces a diagrammatic computer proof system, based on this formal system.

This volume will be of interest to mathematicians, computer scientists, and anyone interested in the use of diagrams in geometry.

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