Excerpt from The Contributor, Vol. 15: January, 1894 The presentation of mathematics as a whole must be based on the origin and nature of the science and must unfold therefrom the logical relations of all its parts. For, like all science, which is an organic unity of truths and principles, mathe matics has its fundamental ideas out of which arise subordinate ideas; these in their turn give rise to others contained in them, while all are so related as to give symmetry and pro portion to the whole. What are these fundamental, derivative ideas? What is the law of their development? What is the philosophical character of each subject? What is the logical thread of thought that binds them all together into an organic unity? 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.