The clarification of Goethe's concept of mathematics is important not only for an exact delineation of the extent and limits of his thought, but also in defining the relation between the humanities and the sciences. Again and again his spirit is invoked by humanists and scientists alike to define their relative positions. When the peculiar characteristics of the humanities and the sciences are brought into sharp focus, mathematics is usually the separating ingredient, and frequent reference is made to Goethe's supposedly negative attitude toward this science with a resulting unjust classification of his science as unscientific. Such arguments usually terminate upon application of two ancient remedies for deadlocked thought, the sets of supposedly logical alternatives-quality versus quantity, intuition (Anschauung) versus logic. Based on these criteria, Goethe's thought is securely if unilaterally embedded in the realms of quality and intuition, but at all costs immunized against the sinister demons of quantity and logic, which to some humanists are irritating symbols of aridity and vacuity, or even eternal foes of poetry, art, and life.