Even the proper dignity of mathematics (that pride of human a vernunftelnden reason) rests on the fact that since in the great as well as the small, in its order and regularity, and in the admirable unity of the forces moving nature, mathematics guides reason's insight into nature far beyond every expectation of any philosophy built on common experience, it gives occasion and encouragement even to the use of reason which ex tends beyond all experience, just as it provides to the philosophy a con cerned with nature the most excellent materials for supporting its inquiries, as far as their characterb allows, with appropriate intuitions.