The Philosophy of Arithmetic
Considered as a Branch of Mathematical Science and the Elements of Algebra (Classic Reprint)

Excerpt from The Philosophy of Arithmetic: Considered as a Branch of Mathematical Science and the Elements of Algebra<br><br>Arithmetic is one of the two great branches of Mathematics; and, when scientifically treated, needs not fear a comparison with her more favoured sister. Geometry, either in precision of ideas, in clearness and certainty of demonstration, in practical utility, or in the beautiful deduction of the most interesting truths.<br><br>In the order of instruction, Arithmetic ought to take precedence of Geometry; and has, I conceive, a more necessary connection with it, than some are willing to allow. "Number," as Mr. Locke remarks, "is that which the mind makes use of, in measuring "all things that by us are measurable." And I question whether the doctrine of ratio in Geometry has not been needlessly obscured, by a vain attempt to divest it of numerical considerations. Upon this subject I have elsewhere expressed my views more at large.<br><br>About the Publisher<br><br>Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com<br><br>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.