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Euclid and His Twentieth–Century Rivals – Diagrams in the Logic of Euclidean Geometry (Studies in the Theory and Applications of Diagrams) - Softcover
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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About the Author
Nathaniel Miller is assistant professor of mathematical sciences at the University of Northern Colorado.
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Euclid and His Twentieth Century Rivals: Diagrams in the Logic of Euclidean Geometry (Studies in the Theory and Applications of Diagrams)
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Center for the Study of Language and Inf, 2007
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ISBN 13: 9781575865089
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Euclid and His Twentieth-Centu
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Euclid and His Twentieth Century Rivals : Diagrams in the Logic of Euclidean Geometry
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Euclid and His Twentieth Century Rivals: Diagrams in the Logic of Euclidean Geometry (eng)
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Euclid and His Twentieth Century Rivals
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Euclid and His Twentieth Century Rivals
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ISBN 13: 9781575865089
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Euclid and His Twentieth Century Rivals
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Center for the Study of Language and Information, 2007
ISBN 10: 1575865084
ISBN 13: 9781575865089
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ISBN 10: 1575865084
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Condition: New. 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. This work 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. Series: CLSI - Studies in the Theory and Applications of Diagrams. Num Pages: 120 pages, Illustrations. BIC Classification: PBMH. Category: (P) Professional & Vocational. Dimension: 230 x 156 x 10. Weight in Grams: 208. . 2007. Illustrated. paperback. . . . . Seller Inventory # V9781575865089
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Euclid and His Twentieth Century Rivals: Diagrams in the Logic of Euclidean Geometry (CSLI-Studies in the Theory and Applications of Diagrams)
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ISBN 13: 9781575865089
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