000 02361cam a22003133u 4500
001 52091
003 UtSlPG
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006 m
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010 _a05019207
040 _aUtSlPG
041 7 _aen
_2iso639-1
050 4 _aQA
100 1 _aRussell, Bertrand,
_d1872-1970
245 1 3 _aAn essay on the foundations of geometry
264 1 _aSalt Lake City, UT :
_bProject Gutenberg,
_c2016
300 _a1 online resource :
_bmultiple file formats
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
500 _aRelease date is 2016-05-17
508 _aProduced 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)
520 _a"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.)
534 _nOriginal publication data not identified
653 _aGeometry -- Foundations
856 4 0 _uhttps://www.gutenberg.org/ebooks/52091
999 _c92925
_d92925