Page:The World as Will and Idea - Schopenhauer, tr. Haldane and Kemp - Volume 2.djvu/395

Rh only by signs instead of words, and can yet arrive at a perfectly certain result, which is still so remote that any one who adhered to the firm ground of perception could not arrive at it. But the possibility of this depends, as Kant has clearly shown, on the fact that the conceptions of mathematics are derived from the most certain and definite of all perceptions, from the a priori and yet intuitively known relations of quantity, and can therefore be constantly realised again and controlled by these, either arithmetically, by performing the calculations which are merely indicated by those signs, or geometrically, by means of what Kant calls the construction of the conceptions. This advantage, on the other hand, is not possessed by the conceptions out of which it was believed metaphysics could be built up; such, for example, as essence, being, substance, perfection, necessity, reality, finite, infinite, absolute, ground, &c. For such conceptions are by no means original, as fallen from heaven, or innate; but they also, like all conceptions, are derived from perceptions; and as, unlike the conceptions of mathematics, they do not contain the mere form of perception, but more, empirical perceptions must lie at their foundation. Thus nothing can be drawn from them which the empirical perceptions did not also contain, that is, nothing which was not a matter of experience, and which, since these conceptions are very wide abstractions, we would receive with much greater certainty at first hand from experience. For from conceptions nothing more can ever be drawn than the perceptions from which they are derived contain. If we desire pure conceptions, i.e., such as have no empirical source, the only ones that can be produced are those which concern space and time, i.e., the merely formal part of perception, consequently only the mathematical conceptions, or at most also the conception of causality, which indeed does not originate in experience, but yet only comes into consciousness by means of it (first in sense-perception); therefore experience indeed is only possible by means of it; but it also is only