Project Gutenberg 2016-05-17 Public domain in the USA. 172 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.) en Geometry -- Foundations QA Text Browsing: Mathematics Browsing: Science - General 640172 640129 2024-09-21T16:23:11.027156 2023-09-22T12:55:38.813163 text/html text/html 645570 2016-05-16T17:05:22 text/html; charset=utf-8 391488 2016-05-16T17:05:22 text/html; charset=utf-8 application/zip 405070 2024-09-21T16:23:21.158077 application/epub+zip 409713 2024-09-21T16:23:12.861118 application/epub+zip 278223 2024-09-21T16:23:11.943152 application/epub+zip 601013 2024-09-21T16:23:26.959060 application/x-mobipocket-ebook 550400 2024-09-21T16:23:20.212088 application/x-mobipocket-ebook 420403 2022-09-23T18:28:55.511400 application/x-mobipocket-ebook 520843 520634 2024-09-21T16:23:08.968147 2023-09-22T12:55:36.905174 text/plain; charset=us-ascii text/plain 521112 2016-05-16T17:05:18 text/plain; charset=utf-8 170463 2016-05-16T17:05:22 text/plain; charset=utf-8 application/zip 18274 2024-09-21T16:23:27.107049 application/rdf+xml 14510 2024-09-21T16:23:12.091134 image/jpeg 2621 2024-09-21T16:23:12.017130 image/jpeg 407873 2024-09-21T16:23:11.097148 application/octet-stream application/zip Archives containing the RDF files for *all* our books can be downloaded at https://www.gutenberg.org/wiki/Gutenberg:Feeds#The_Complete_Project_Gutenberg_Catalog en.wikipedia