Project Gutenberg 2016-05-17 Public domain in the USA. 472 Russell, Bertrand 1872 1970 Russell, Bertrand Russell, 3d Earl Russell, Bertrand A. W. (Bertrand Arthur William) 05019207 An essay on the foundations of geometry Produced by Adrian Mastronardi, John Campbell and the Online Distributed Proofreading Team at http://www.pgdp.net (This file was produced from images generously made available by The Internet Archive) "An Essay on the Foundations of Geometry" by Bertrand Russell is a scholarly work exploring the philosophical and logical underpinnings of geometry, written in the late 19th century. The book delves into historical perspectives on geometric principles, particularly focusing on non-Euclidean geometries and the implications of various axioms. It addresses the epistemological questions surrounding the nature of geometric knowledge and the necessary conditions for spatial reasoning. The opening of the essay outlines the structure and intent of Russell's investigation into geometry. It sets up a distinction between a priori knowledge and subjective experience, and highlights the influence of key philosophers such as Kant on the discourse surrounding geometric foundations. Russell establishes a framework for exploring the historical evolution of geometry, particularly the development of metageometry and non-Euclidean systems, while preparing for a detailed examination of the essential axioms that govern geometric thought and the relationship between geometry and logic. This introduction primes the reader for a critical analysis of prior philosophical theories and sets the stage for Russell's own contributions to the field. (This is an automatically generated summary.) Reading ease score: 47.0 (College-level). Difficult to read. en Geometry -- Foundations QA Text Category: Mathematics Category: Philosophy & Ethics 640356 2025-07-21T03:55:37.033136 text/html 625084 2024-10-23T00:35:05 text/html 405087 2025-07-21T03:55:46.114094 application/epub+zip 409616 2025-07-21T03:55:38.763107 application/epub+zip 278153 2025-07-21T03:55:37.900139 application/epub+zip 601099 2025-07-21T03:55:51.281051 application/x-mobipocket-ebook 550477 2025-07-21T03:55:45.252116 application/x-mobipocket-ebook 420403 2022-09-23T18:28:55.511400 application/x-mobipocket-ebook 520675 2025-07-21T03:55:35.519136 text/plain; charset=us-ascii 500775 2024-10-23T00:35:05 text/plain; charset=us-ascii 16931 2025-07-21T03:55:51.428042 application/rdf+xml 14510 2025-07-21T03:55:38.042105 image/jpeg 2621 2025-07-21T03:55:37.970123 image/jpeg 407931 2025-07-21T03:55:37.099159 application/octet-stream application/zip Archives containing the RDF files for *all* our books can be downloaded at https://book.klll.cc/wiki/Gutenberg:Feeds#The_Complete_Project_Gutenberg_Catalog en.wikipedia