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An Essay on the Foundations of Geometry was first published in 1897, and is based on Russell's Cambridge dissertation as well as lectures given during a journey through the USA.
Bertrand Russell's Preface from the book:
The present work is based on a dissertation submitted at the Fellowship Examination of Trinity College, Cambridge, in the year 1895. Section B of the third chapter is in the main a reprint, with some serious alterations, of an article in Mind (New Series, No. 17). The substance of the book has been given in the form of lectures at the Johns Hopkins University, Baltimore, and at Bryn Mawr College, Pennsylvania.
My chief obligation is to Professor Klein. Throughout the first chapter, I have found his "Lectures on non-Euclidean Geometry" an invaluable guide; I have accepted from him the division of Metageometry into three periods, and have found my historical work much lightened by his references to previous writers. In Logic, I have learnt most from Mr Bradley, and next to him, from Sigwart and Dr Bosanquet. On several important points, I have derived useful suggestions from Professor James's "Principles of Psychology."
Bertrand Arthur William Russell, 3rd Earl Russell was a British philosopher, logician, mathematician, historian, social reformer, and pacifist. Although he spent the majority of his life in England, he was born in Wales, where he also died. Russell led the British “revolt against Idealism” in the early twentieth century and is one of the founders of analytic philosophy along with his protégé Wittgenstein and his elder Frege. He co-authored, with A. N. Whitehead, Principia Mathematica, an attempt to ground mathematics on logic. His philosophical essay “On Denoting” has been considered a “paradigm of philosophy.” Both works have had a considerable influence on logic, mathematics, set theory, linguistics and analytic philosophy. He was a prominent anti-war activist, championing free trade between nations and anti-imperialism. Russell was imprisoned for his pacifist activism during World War I, campaigned against Adolf Hitler, for nuclear disarmament. He criticized Soviet totalitarianism and the United States of America’s involvement in the Vietnam War. In 1950, Russell was awarded the Nobel Prize in Literature, “in recognition of his varied and significant writings in which he champions humanitarian ideals and freedom of thought.”
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