Philosophy and Geometry

Magnani (U. of Pavia and Georgia Institute of Technology) presents an analysis of previous ideas on geometrical knowledge, and discusses conventionalist and neopositivist perspectives and the problem of the origins of geometry. He also ties together the concerns of philosophers of science and cognitive science researchers. The seven chapters discuss the origins of geometrical knowledge; geometry as the model of knowledge; constructions, logic, and categories; the relationships between geometry, orality, and writing in Greek culture; geometry and convention; geometry, problem solving, and abduction; and geometry and cognition. Annotation c. Book News, Inc., Portland, OR (booknews.com)