An Essay on the Foundations of Geometry

Russell, Bertrand A. W.

Cambridge University Press（2012/04発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 218 p.
• 言語 ENG
• 商品コード 9781107679450
• DDC分類 516

Full Description

Originally published in 1897, this book was based on the dissertation Russell presented for the Fellowship Examination of Trinity College, Cambridge, together with a series of lectures given in the USA around the same time. It provides an account of geometrical concepts in relation to logic, psychology and mathematics, shedding light on the development of Russell's philosophical perspective. This is a highly readable text that will be of value to anyone with an interest in geometry, philosophy and Russell's early thought.

Contents

Preface; Introduction: our problem defined by its relations to logic, psychology and mathematics; 1. A short history of metageometry; 2. Critical account of some previous philosophical theories of geometry; 3A. The axioms of projective geometry; 3B. The axioms of metrical geometry; 4. Philosophical consequences.