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An Essay on the Foundations of Geometry

by Bertrand Russell

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Non-Euclidean geometry and Kant's idea of the a priori meet in Bertrand Russell's 1897 essay, built on the dissertation he submitted for a Fellowship at Trinity College, Cambridge, in 1895. Its first chapter is a short history of metageometry, which began by rejecting the axiom of parallels and passed through synthetic, metrical and projective periods, starting with Gauss, Lobatchewsky and Bolyai. The test of the a priori used throughout is purely logical, asking which knowledge is needed for experience. The material was also given as lectures at Johns Hopkins University and Bryn Mawr College.

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Bertrand Russell - BDeBooks
Bertrand Russell

Bertrand Russell (1872-1970) was a British philosopher, logician, mathematician, and social critic, and a founder of analytic philosophy. A tireless public intellectual, he wrote on everything from mathematical logic to pacifism and won the 1950 Nobel Prize in Literature.

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Book facts

Reading time
About 6 hours
Pages
154
Language
English
Formats
PDF, EPUB, Read online