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Euclid and His Twentieth Century Rivals: Diagrams in the Logic of Euclidean Geometry
ISBN-13: 9781575865089 / Angielski / Miękka / 2007 / 119 str.
Euclid and His Twentieth Century Rivals: Diagrams in the Logic of Euclidean Geometry
ISBN-13: 9781575865089 / Angielski / Miękka / 2007 / 119 str.
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Twentieth-century developments in logic and mathematics have led many people to view Euclid s proofs as inherently informal, especially due to the use of diagrams in proofs. In "Euclid and His Twentieth-Century Rivals," Nathaniel Miller discusses the history of 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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