A Paper on the Foundations of Projective Geometry

A Paper on the Foundations of Projective Geometry

Author: Edward T. Dixon

Publisher:

Published: 2015-08-05

Total Pages: 100

ISBN-13: 9781332323821

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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.


A Paper on the Foundations of Projective Geometry

A Paper on the Foundations of Projective Geometry

Author: Edward T. (Edward Travers) Dixon

Publisher:

Published: 2017-04-22

Total Pages: 86

ISBN-13: 9783337008833

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A Paper on the Foundations of Projective Geometry - (Read before the Aristotelian Society, Dec. 13, 1897) is an unchanged, high-quality reprint of the original edition of 1898. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres. As a publisher we focus on the preservation of historical literature. Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future.


The Cambridge Review

The Cambridge Review

Author:

Publisher:

Published: 1898

Total Pages: 658

ISBN-13:

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Vols. 1-26 include a supplement: The University pulpit, vols. [1]-26, no. 1-661, which has separate pagination but is indexed in the main vol.


A Paper on the Foundations of Projective Geometry

A Paper on the Foundations of Projective Geometry

Author: Edward Travers Dixon

Publisher: Andesite Press

Published: 2015-08-11

Total Pages: 86

ISBN-13: 9781298638168

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.


Hendrik Petrus Berlage

Hendrik Petrus Berlage

Author: Hendrik Petrus Berlage

Publisher: Getty Publications

Published: 1996-01-01

Total Pages: 350

ISBN-13: 0892363339

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Hendrik Petrus Berlage, the Dutch architect and architectural philosopher, created a series of buildings and a body of writings from 1886 to 1909 that were among the first efforts to probe the problems and possibilities of modernism. Although his Amsterdam Stock Exchange, with its rational mastery of materials and space, has long been celebrated for its seminal influence on the architecture of the 20th century, Berlage's writings are highlighted here. Bringing together Berlage's most important texts, among them "Thoughts on Style in Architecture", "Architecture's Place in Modern Aesthetics", and "Art and Society", this volume presents a chapter in the history of European modernism. In his introduction, Iain Boyd Whyte demonstrates that the substantial contribution of Berlage's designs to modern architecture cannot be fully appreciated without an understanding of the aesthetic principles first laid out in his writings.


Landmark Writings in Western Mathematics 1640-1940

Landmark Writings in Western Mathematics 1640-1940

Author: Ivor Grattan-Guinness

Publisher: Elsevier

Published: 2005-02-11

Total Pages: 1042

ISBN-13: 0080457444

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This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. - First book of its kind - Covers the period 1640-1940 of massive development in mathematics - Describes many of the main writings of mathematics - Articles written by specialists in their field


Axiomatic Method and Category Theory

Axiomatic Method and Category Theory

Author: Andrei Rodin

Publisher: Springer Science & Business Media

Published: 2013-10-14

Total Pages: 285

ISBN-13: 3319004042

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This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. The author, a well-known philosopher and historian of mathematics, first examines Euclid, who is considered the father of the axiomatic method, before moving onto Hilbert and Lawvere. He then presents a deep textual analysis of each writer and describes how their ideas are different and even how their ideas progressed over time. Next, the book explores category theory and details how it has revolutionized the notion of the axiomatic method. It considers the question of identity/equality in mathematics as well as examines the received theories of mathematical structuralism. In the end, Rodin presents a hypothetical New Axiomatic Method, which establishes closer relationships between mathematics and physics. Lawvere's axiomatization of topos theory and Voevodsky's axiomatization of higher homotopy theory exemplify a new way of axiomatic theory building, which goes beyond the classical Hilbert-style Axiomatic Method. The new notion of Axiomatic Method that emerges in categorical logic opens new possibilities for using this method in physics and other natural sciences. This volume offers readers a coherent look at the past, present and anticipated future of the Axiomatic Method.