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Book Synopsis
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.

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

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A Paperback by Nathaniel Miller

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    View other formats and editions of Euclid and His Twentieth Century Rivals: Diagrams in the Logic of Euclidean Geometry by Nathaniel Miller

    Publisher: Centre for the Study of Language & Information
    Publication Date: 01/04/2007
    ISBN13: 9781575865089, 978-1575865089
    ISBN10: 1575865084

    Description

    Book Synopsis
    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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