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Sinopsis
Excerpt from The Foundations of Geometry
This book is logically sound, and that consequently the more it is discussed and criticised, the more firmly will it become established. I shall therefore be very glad to see any criticisms of my views, whether friendly or hostile, either in the public press, or addressed to me privately, at the address given below. But I have already found that, the subject being such a wide one, criticism is apt to become discursive; and with a view to keeping it to the point I would suggest to my critics and opponents in argument that they should consider categorically the following questions.
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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.
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Reseña del editor
Excerpt from The Foundations of Geometry
This book is logically sound, and that consequently the more it is discussed and criticised, the more firmly will it become established. I shall therefore be very glad to see any criticisms of my views, whether friendly or hostile, either in the public press, or addressed to me privately, at the address given below. But I have already found that, the subject being such a wide one, criticism is apt to become discursive; and with a view to keeping it to the point I would suggest to my critics and opponents in argument that they should consider categorically the following questions.
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.
Reseña del editor
Excerpt from The Foundations of Geometry
(Whether you think these properties me established by Euclid's geometry, or not, is immaterial. If you giant this you have granted my Axiom II.; for this does not assert any objective fact at all.)
(iv) Do you accept the logical accuracy and permissibility of my remaining definitions and axioms?
(Objections on the score of convenience and simplicity had better be considered elsewhere.)
(v) Do you admit the formal accuracy of the proofs of propositions in my Books I. and II.?
(N.B. If you admit this there can no longer be any doubt as to the sufficiency of my premises.)
(vi) Do you admit the objective applications of my three Axioms, and therefore of my system of geometry, as discussed in Chap. I. of Part. III.?
(vii) If you admit that there is a theoretical doubt as to the objective counterpart of my second Axiom, please give any criticisms which may occur to you on the remainder of Part III.
Now, if there is no flaw in the line of argument I have adopted, it follows that my conclusions arc time, and consequently that any objection taken to them outside this line of argument, however specious it may sound, must contain a fallacy. I might therefore refuse to discuss such an objection. But the objector might truly urge that, conversely, if his objection was irrefutable, there must be some hidden fallacy in my argument. And therefore, though I prefer arguing in my own way, having devoted a good deal of thought to the subject, and having come to the conclusion that my line of argument is the most direct, and the easiest to discuss; I shall nevertheless feel bound to give the best answer I can to any reasonable objection whatever.
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.
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The Foundations of Geometry (Classic Reprint)
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Paperback. Condición: New. Print on Demand. This book presents an innovative theory of geometry founded on two essential concepts: position and direction. While the concept of position has been somewhat explored, the geometry in this book emphasizes the pivotal role of direction. The author argues that not only are these the foundational concepts of geometry, but also of our spatial experience itself. The author challenges Euclidean geometry as an accurate depiction of space and instead presents his own subjective theory of geometry. His critique of Euclidean geometry notably focuses on its reliance on the problematic parallel postulate. By rejecting this assumption and introducing direction as a fundamental concept, the author develops an alternative framework for understanding spatial relationships. This book will appeal to those interested in the foundations of geometry and mathematics as well as those interested in exploring new ways to conceptualize and measure space and direction. Its insights provide a fresh perspective on the nature of geometry and its relation to our understanding of the world around us. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781330281345_0
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The Foundations of Geometry Classic Reprint
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330281345
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The Foundations of Geometry Classic Reprint
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330281345
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