Author: Edward T. Dixon

Publisher:

Published: 2015-08-05

Total Pages: 100

ISBN-13: 9781332323821

Excerpt from A Paper on the Foundations of Projective Geometry: Read Before the Aristotelian Society, Dec, 13, 1897 This paper was nominally "read" at a meeting of the Aristotelian Society on December 13th, 1897. It is the excellent custom of that Society to circulate proofs of papers among the members before the meetings, and I was thus able to make the paper longer and more technical than would otherwise have been possible; but even so the mathematical portion is compressed to the utmost, and a great deal is necessarily left to the good will and intelligence of the reader. Since writing the paper I have read up the modem literature of the subject, and I am confirmed in the impression, which I got from Mr. Russell's book, that the conception of "order" as the basis of so-called "Projective Geometry" is essentially new. The only suggestion of this way of looking at the question which I have found is in Pasch's Vorlesungen uher neuere Geometrie. But though he sees that less than four points have no determinate "order," he never extends the conception of order to continuous quantities, nor does he grasp the connection between it and "anharmonic ratio." It seems, therefore, worth while to bring my views before a wider public, for, interesting as the discussion before the Aristotelian Society was, it was chiefly my epistemological views which came in for criticism; the geometrical points were hardly discussed at all. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.