Note 1 — Chapter I · INTRODUCTION

Kant’s error, an error of very wide bearing which has not even yet been overcome, was first of all in bringing the outer and inner Man into relation with the ideas of space and time by pure scheme, though the meanings of these are numerous and, above all, not unalterable; and secondly in allying arithmetic with the one and geometry with the other in an utterly mistaken way. It is not between arithmetic and geometry—we must here anticipate a little—but between chronological and mathematical number that there is fundamental opposition. Arithmetic and geometry are both spatial mathematics and in their higher regions they are no longer separable. Time-reckoning, of which the plain man is capable of a perfectly clear understanding through his senses, answers the question “When,” not “What” or “How Many.”