Copyright 1919, by
E. P. DUTTON & COMPANY
All Rights Reserved
Printed in the United States of America
TO
THE CHERISHED MEMORY OF
Mylie De Prè
WHOSE WIFELY DEVOTION,
SYMPATHETIC ASSISTANCE AND ENCOURAGEMENT
DURING THE EARLY LABORS ON THE TEXT
WERE A CONSTANT SOURCE OF
INSPIRATION AND FORTITUDE TO THE AUTHOR,
THIS BOOK IS DEDICATED
AFFECTIONATELY
[PREFACE]
Mathematics is the biometer of intellectual evolution. Hence, the determination of the status quo of the intellect at any time can be accomplished most satisfactorily by applying to it the rigorous measure of the mathematical method. The intellect has but one true divining rod and that is mathematics. By day and by night it points the way unerringly, so long as it leads through materiality; but, falteringly, blindly, fatally, when that way veers into the territory of vitality and spirituality.