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• catalog abstract ""Since ancient times many philosophers have studied geometry. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this story of human knowledge, providing a new analysis of the ideas of many authors (like Plato, Proclus, Kant, and Poincare), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry. The book also ties together the concerns of philosophers of science and cognitive science researchers, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are covered from a novel combination of both historical and contemporary perspectives."--Jacket.".
• catalog contributor b12158778.
• catalog created "c2001.".
• catalog date "2001".
• catalog date "c2001.".
• catalog dateCopyrighted "c2001.".
• catalog description ""Since ancient times many philosophers have studied geometry. Geometrical knowledge has often played the role of a laboratory for the philosopher's conceptual experiments dedicated to the ideation of powerful theories of knowledge. Lorenzo Magnani's new book Philosophy and Geometry illustrates the rich intrigue of this story of human knowledge, providing a new analysis of the ideas of many authors (like Plato, Proclus, Kant, and Poincare), and discussing conventionalist and neopositivist perspectives and the problem of the origins of geometry.".
• catalog description "At the Origins of Geometrical Knowledge -- Conceptual space, mental spatial models, latent geometry -- Conceptual space and geometrical shapes -- Mental spatial models and spatial descriptions -- Latent geometry -- Figures, symbols, and the Greek origins of geometry -- Sefirot -- Yantra -- Numbers, points, geometrical diagrams -- The ritual origin of geometry -- Geometry: the Model of Knowledge -- Sensibility -- Imagination -- Understanding -- Pure apprehension and geometry -- Empirical apprehension and empirical schematism -- Geometrical schemata and constructions: models of philosophy -- Space as the object of geometry -- Constructions, Logic, Categories -- Space and logic -- Intuition, construction, and the logic of singular terms -- Pure and applied geometry -- Why is geometry synthetic? -- Categories and Axioms of Intuition -- Transcendental categories and schemata -- The Axioms of Intuition: why we can apply geometry to experience -- The foundation of geometry and objectivity -- Mathematical schematism -- The [Phi alpha nu tau alpha sigma iota alpha] in Ancient Geometrical Knowledge -- Geometry, drawing, and writing -- Mathematical objects -- Geometrical reasoning -- The science that studies shapes: geometry -- "History of geometry" and "elements" of geometry -- Geometry and Convention -- Crude facts, relations, conventions -- Pure and applied geometry -- Sensible, geometric, and physical space -- Geometrical intuition -- Geometrical apriorism and empiricism -- The genesis of geometry -- The interchangeability of geometries.".
• catalog description "Includes bibliographical references (p. 211-230) and indexes.".
• catalog description "The book also ties together the concerns of philosophers of science and cognitive science researchers, showing, for example, the connections between geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the topics are covered from a novel combination of both historical and contemporary perspectives."--Jacket.".
• catalog extent "xix, 249 p. :".
• catalog identifier "0792369335 (alk. paper)".
• catalog isPartOf "University of Western Ontario series in philosophy of science ; v. 66.".
• catalog isPartOf "Western Ontario series in philosophy of science ; v. 66".
• catalog issued "2001".
• catalog issued "c2001.".
• catalog language "eng".
• catalog publisher "Dordrecht ; Boston : Kluwer Academic Publishers,".
• catalog subject "516/.001 21".
• catalog subject "Geometry Philosophy.".
• catalog subject "QA447 .M34 2001".
• catalog tableOfContents "At the Origins of Geometrical Knowledge -- Conceptual space, mental spatial models, latent geometry -- Conceptual space and geometrical shapes -- Mental spatial models and spatial descriptions -- Latent geometry -- Figures, symbols, and the Greek origins of geometry -- Sefirot -- Yantra -- Numbers, points, geometrical diagrams -- The ritual origin of geometry -- Geometry: the Model of Knowledge -- Sensibility -- Imagination -- Understanding -- Pure apprehension and geometry -- Empirical apprehension and empirical schematism -- Geometrical schemata and constructions: models of philosophy -- Space as the object of geometry -- Constructions, Logic, Categories -- Space and logic -- Intuition, construction, and the logic of singular terms -- Pure and applied geometry -- Why is geometry synthetic? -- Categories and Axioms of Intuition -- Transcendental categories and schemata -- The Axioms of Intuition: why we can apply geometry to experience -- The foundation of geometry and objectivity -- Mathematical schematism -- The [Phi alpha nu tau alpha sigma iota alpha] in Ancient Geometrical Knowledge -- Geometry, drawing, and writing -- Mathematical objects -- Geometrical reasoning -- The science that studies shapes: geometry -- "History of geometry" and "elements" of geometry -- Geometry and Convention -- Crude facts, relations, conventions -- Pure and applied geometry -- Sensible, geometric, and physical space -- Geometrical intuition -- Geometrical apriorism and empiricism -- The genesis of geometry -- The interchangeability of geometries.".
• catalog title "Philosophy and geometry : theoretical and historical issues / by Lorenzo Magnani.".
• catalog type "text".