Page:The World as Will and Idea - Schopenhauer, tr. Haldane and Kemp - Volume 3.djvu/500

484 lie in the understanding and in pure sensibility, as the conditions of the possibility of experience, may be the ground of a judgment which is then synthetical a priori. Finally, those formal conditions of all thinking which lie in the reason may be the ground of a judgment, which may in that case be called metalogically true. Of these metalogical judgments there are four, and they were long ago discovered and called laws of thought. (1.) A subject is equal to the sum of its predicates. (2.) A subject cannot at once have a given predicate affirmed and denied of it. (3.) Of two contradictorily opposed predicates one must belong to every subject. (4.) Truth is the relation of a judgment to something outside it as its sufficient reason. Reason, it may be remarked, has no material but only formal truth.

CHAPTER VI.

The third class of objects for the subject is constituted by the formal element in perception, the forms of outer and inner sense, space and time. This class of ideas, in which time and space appear as pure intuitions, is distinguished from that other class in which they are objects of perception by the presence of matter which has been shown to be the perceptibility of time and space in one aspect, and causality which has become objective, in another. Space and time have this property, that all their parts stand to one another in a relation in which each is determined and conditioned by another. This relation is peculiar, and is intelligible to us neither through understanding nor through reason, but solely through pure intuition or perception a priori. And the law according to which the parts of space and time thus determine one another is called the law of sufficient reason of being. In space every position is determined with reference to every other position, so that the first stands to the second in the relation of a consequence to its ground. In time every moment is conditioned by that which precedes it. The ground of being, in the form of the law of sequence, is here very simple owing to the circumstance that time has only one dimension. On the nexus