An essay on the foundations of geometry by Bertrand Russell

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Author Russell, Bertrand, 1872-1970
LoC No. 05019207
Title An essay on the foundations of geometry
Note Reading ease score: 47.0 (College-level). Difficult to read.
Credits 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
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Summary "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.)
Language English
LoC Class QA: Science: Mathematics
Subject Geometry -- Foundations
Category Text
EBook-No. 52091
Release Date
Copyright Status Public domain in the USA.
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