An essay on the foundations of geometry by Bertrand Russell
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"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.)
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About this eBook
| Author | Russell, Bertrand, 1872-1970 |
|---|---|
| LoC No. | 05019207 |
| Title | An essay on the foundations of geometry |
| Credits |
Produced by Adrian Mastronardi, John Campbell and the Online Distributed Proofreading Team at www.pgdp.net (This file was produced from images generously made available by The Internet Archive) |
| Reading Level | Reading ease score: 47.0 (College-level). Difficult to read. |
| Language | English |
| LoC Class | QA: Science: Mathematics |
| Subject | Geometry -- Foundations |
| Category | Text |
| eBook-No. | 52091 |
| ISBN (HTML) | 979-8-238-52091-9 |
| Release Date | May 17, 2016 |
| Last Update | Oct 23, 2024 |
| Copyright | Public domain in the USA. |
| Downloads | 402 downloads in the last 30 days. |
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