Philosophy of Geometry from Riemann to Poincaré

This scholarly work provides a critical survey of the seminal period in the modern philosophy of geometry, spanning from the 1850s to the turn of the century. It traces the evolution of geometric thought starting with Riemann's generalized conception of space and concludes with Hilbert's axiomatics and Poincaré's conventionalism. Torretti explores how the discovery of non-Euclidean geometries …