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Philosophers have studied geometry since ancient times. Geometrical kn owledge has often played the role of a laboratory for the philosopher' s conceptual experiments dedicated to the ideation of powerful theorie s of knowledge. Lorenzo Magnani's new book Philosophy and Geometry ill ustrates the rich intrigue of this fascinating story of human knowledg e, providing a new analysis of the ideas of many scholars (including P ), 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 scientists, showing, for example, the connections betwee n geometrical reasoning and cognition as well as the results of recent logical and computational models of geometrical reasoning. All the to pics are dealt with using a novel combination of both historical and c ontemporary perspectives. Philosophy and Geometry is a valuable contri bution to the renaissance of research in the field.
1. At the Origins of Geometrical Knowledge. 2. Geometry: the Model of Knowledge. 3. Constructions, Logic, Categories. 4. The alphaνtaualphasigma&igr;alpha in Ancient Geometrical Knowledge. 5. Geometry and Convention. 6. Geometry, Problem Solving, Abduction. 7. Geometry and Cognition. References. Author Index. Subject Index.