The Foundations of Geometry was first published in 1897, and is based on Russell's Cambridge dissertation as well as lectures given during a journey through the USA. This is the first reprint, complete with a new introduction by Professor John Slater. The book provides both an insight into Russell's earliest analytical and critical thought and an introduction to the philosophical and logical foundations of non-Euclidean geometry, a version of which is central to Einstein's theory of relativity. As such it is an invaluable resource, not only for students of philosophy, but also for those interested in understanding Russell's philosophical development. Foundations of Geometry consists of four chapters which explore the various concepts of geometry and their philosophical implications, including a historical overview of the development of geometrical theory.
Chapter 1: A short history of metageometry; Chapter 2: Critical account of some previous philosophical theories of geometry; Chapter 3: The axioms of projective geometry; The axioms of metrical geometry; Chapter 4: Philosophical consequences